File size: 254,554 Bytes
ffbceb1 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 | <!doctype html>
<html lang="en">
<head>
<meta charset="utf-8"/>
<meta name="viewport" content="width=device-width, initial-scale=1"/>
<title>Cluster Browser</title>
<style>
body { font-family: ui-sans-serif, system-ui, -apple-system, Segoe UI, Roboto, Arial, sans-serif; margin: 18px; line-height: 1.35; }
h1 { margin: 0 0 6px 0; font-size: 20px; }
.small { color: #666; font-size: 12px; }
input { padding: 8px; width: min(720px, 95vw); font-size: 14px; }
table { border-collapse: collapse; width: 100%; margin-top: 12px; }
th, td { border-bottom: 1px solid #eee; padding: 8px; vertical-align: top; }
th { text-align: left; font-size: 12px; color: #444; position: sticky; top: 0; background: #fff; }
tr:hover { background: #fafafa; }
.code { font-family: ui-monospace, SFMono-Regular, Menlo, Monaco, Consolas, "Liberation Mono", "Courier New", monospace; font-size: 12px; }
.rep { margin: 6px 0; padding: 8px; background: #f7f7f7; border-radius: 10px; }
.rephead { font-size: 12px; color: #333; }
.reptext { margin-top: 4px; white-space: pre-wrap; font-size: 13px; }
.badge { display:inline-block; padding:2px 6px; border-radius: 999px; background:#eee; font-size: 12px; }
</style>
</head>
<body>
<h1>cluster browser</h1>
<div class="small" id="meta"></div>
<div style="margin-top:10px;">
<input id="q" placeholder="filter clusters by term or id (e.g. 'aliens', 'contract', '42')" />
</div>
<table>
<thead>
<tr><th>cluster</th><th>super</th><th>group</th><th>size</th><th>avg_prob</th><th>cohesion</th><th>terms</th><th>representatives</th></tr>
</thead>
<tbody id="rows"></tbody>
</table>
<script>
const DATA = {"meta": {"script_version": "2026-02-04ad-tee-harden", "input_desc": "/content/TEXT", "chunk_count": 2957789, "cluster_count": 0, "noise_ratio": 0.0}, "clusters": [{"cluster_id": 0, "size": 49733, "avg_prob": 1.0, "supergroup_id": null, "supergroup_top_terms": "ph cond mat astro phase cond_mat field mass quantum states", "group_id": 6, "group_top_terms": "astro ph astro_ph mass star emission observations 10 formation galaxy", "top_terms": "galaxies radio astro agn galaxy gas star emission luminosity ph redshift line formation quasar dust sources ray mass 10 quasars", "contrast_terms": "agn quasar quasars alpha uv ir continuum clumps kpc luminous lya band", "cluster_title": "galaxies / radio / astro", "cohesion_mean_sim": 0.8423192501068115, "cohesion_p10_sim": 0.8134637475013733, "reps": [{"rep_rank": 1, "rep_sim": 0.8815288543701172, "chunk_id": "chunk_00862464", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 862464, "text_preview": "New Views into High Redshift Star-formation from GOODS The GOODS-North field centered around the historical Hubble Deep Field-North provides one of the richest multiwavelength datasets compiled, spanning radio to X-ray frequencies, for studying the formation and evolution of galaxies at high redshift. In particular, the unprecedented sensitivity of the Spitzer/GOODS 24 micron observations allows"}, {"rep_rank": 2, "rep_sim": 0.8792387247085571, "chunk_id": "chunk_01634454", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 1634454, "text_preview": "HST/WFC3 Near-Infrared spectroscopy of quenched galaxies at z~1.5 from the WISP Survey: Stellar population properties We combine Hubble Space Telescope (HST) G102 & G141 NIR grism spectroscopy with HST/WFC3-UVIS, HST/WFC3-IR and Spitzer/IRAC[3.6\\mu m] photometry to assemble a sample of massive (log(M_star/M_sun) ~ 11) and quenched galaxies at z~1.5. Our sample of 41 galaxies is the largest with"}, {"rep_rank": 3, "rep_sim": 0.8789070248603821, "chunk_id": "chunk_02125794", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 2125794, "text_preview": "The Nuclear Infrared Emission of Low-Luminosity Active Galactic Nuclei We present high-resolution mid-infrared (MIR) imaging, nuclear spectral energy distributions (SEDs) and archival Spitzer spectra for 22 low-luminosity active galactic nuclei (LLAGN; Lbol \\lesssim 10^42 erg/sec). Infrared (IR) observations may advance our understanding of the accretion flows in LLAGN, the fate of the obscuring"}]}, {"cluster_id": 1, "size": 47721, "avg_prob": 1.0, "supergroup_id": 2, "supergroup_top_terms": "cs based model data models learning performance time network training", "group_id": 9, "group_top_terms": "cs based model models data language learning human knowledge llms", "top_terms": "llms language models llm reasoning cs language_models ai cl human model large training large_language dialogue knowledge tasks performance evaluation task", "contrast_terms": "large_language dialogue large_language_models models_llms tuning gpt capabilities instruction prompt language_models_llms prompting questions", "cluster_title": "language models / large language / large language models", "cohesion_mean_sim": 0.8644174933433533, "cohesion_p10_sim": 0.8325179815292358, "reps": [{"rep_rank": 1, "rep_sim": 0.922971248626709, "chunk_id": "chunk_01240965", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 1240965, "text_preview": "LongReason: A Synthetic Long-Context Reasoning Benchmark via Context Expansion Large language models (LLMs) have demonstrated remarkable progress in understanding long-context inputs. However, benchmarks for evaluating the long-context reasoning abilities of LLMs fall behind the pace. Existing benchmarks often focus on a narrow range of tasks or those that do not demand complex reasoning. To addr"}, {"rep_rank": 2, "rep_sim": 0.9122754335403442, "chunk_id": "chunk_01292117", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 1292117, "text_preview": "Bayesian Teaching Enables Probabilistic Reasoning in Large Language Models Large language models (LLMs) are increasingly used as agents that interact with users and with the world. To do so successfully, LLMs must construct representations of the world and form probabilistic beliefs about them. To provide personalized recommendations, for example, the LLM needs to infer a user's preferences from"}, {"rep_rank": 3, "rep_sim": 0.9107198715209961, "chunk_id": "chunk_00023619", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 23619, "text_preview": "TencentLLMEval: A Hierarchical Evaluation of Real-World Capabilities for Human-Aligned LLMs Large language models (LLMs) have shown impressive capabilities across various natural language tasks. However, evaluating their alignment with human preferences remains a challenge. To this end, we propose a comprehensive human evaluation framework to assess LLMs' proficiency in following instructions on"}]}, {"cluster_id": 2, "size": 47630, "avg_prob": 1.0, "supergroup_id": 2, "supergroup_top_terms": "cs based model data models learning performance time network training", "group_id": 9, "group_top_terms": "cs based model models data language learning human knowledge llms", "top_terms": "language text cs cl models cs_cl dataset task word retrieval tasks llms classification knowledge based model sentence learning data document", "contrast_terms": "word retrieval classification sentence document english entity translation embeddings legal nlp extraction", "cluster_title": "cs cl / language / text", "cohesion_mean_sim": 0.8397995233535767, "cohesion_p10_sim": 0.8100280165672302, "reps": [{"rep_rank": 1, "rep_sim": 0.8865985870361328, "chunk_id": "chunk_02399325", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 2399325, "text_preview": "When Low Resource NLP Meets Unsupervised Language Model: Meta-pretraining Then Meta-learning for Few-shot Text Classification Text classification tends to be difficult when data are deficient or when it is required to adapt to unseen classes. In such challenging scenarios, recent studies have often used meta-learning to simulate the few-shot task, thus negating implicit common linguistic feature"}, {"rep_rank": 2, "rep_sim": 0.8848781585693359, "chunk_id": "chunk_00022792", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 22792, "text_preview": "Large Language Models for Generative Information Extraction: A Survey Information extraction (IE) aims to extract structural knowledge from plain natural language texts. Recently, generative Large Language Models (LLMs) have demonstrated remarkable capabilities in text understanding and generation. As a result, numerous works have been proposed to integrate LLMs for IE tasks based on a generative"}, {"rep_rank": 3, "rep_sim": 0.884031355381012, "chunk_id": "chunk_01251670", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 1251670, "text_preview": "Graph-based Approaches and Functionalities in Retrieval-Augmented Generation: A Comprehensive Survey Large language models (LLMs) struggle with the factual error during inference due to the lack of sufficient training data and the most updated knowledge, leading to the hallucination problem. Retrieval-Augmented Generation (RAG) has gained attention as a promising solution to address the limitatio"}]}, {"cluster_id": 3, "size": 44838, "avg_prob": 1.0, "supergroup_id": null, "supergroup_top_terms": "ph cond mat astro phase cond_mat field mass quantum states", "group_id": 6, "group_top_terms": "astro ph astro_ph mass star emission observations 10 formation galaxy", "top_terms": "stars stellar astro planets mass planet star ph period orbital astro_ph binary solar kepler sr observations dwarf ep orbits evolution", "contrast_terms": "kepler orbits transit orbit eccentricity age giant spectroscopic radial transiting earth exoplanets", "cluster_title": "astro ph / stars / stellar", "cohesion_mean_sim": 0.8247920274734497, "cohesion_p10_sim": 0.7816669344902039, "reps": [{"rep_rank": 1, "rep_sim": 0.8802701234817505, "chunk_id": "chunk_00334923", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 334923, "text_preview": "TESS observations of non-Be fast rotators The variability of fast-rotating Oe/Be stars has been reported in detail in recent years. However, much less known about the behaviour of fast-rotating OB stars without known decretion disks, and hence it is difficult to identify the commonalities and differences in the photometric variability of these two populations, especially with regards to their pul"}, {"rep_rank": 2, "rep_sim": 0.8796147704124451, "chunk_id": "chunk_01974394", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 1974394, "text_preview": "Rotation and activity of pre-main-sequence stars We present a study of rotation (vsini) and chromospheric activity (Halpha EW) based on an extensive set of high-resolution optical spectra obtained with MIKE on the 6.5m Magellan Clay telescope. Our targets are 74 F-M dwarfs in the young stellar associations Eta Cha, TW Hydrae, Beta Pic, and Tuc-Hor, spanning ages from 6 to 30 Myr. While the Halpha"}, {"rep_rank": 3, "rep_sim": 0.8753078579902649, "chunk_id": "chunk_02741166", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 2741166, "text_preview": "Characterizing K2 Candidate Planetary Systems Orbiting Low-Mass Stars II: Planetary Systems Observed During Campaigns 1-7 We recently used near-infrared spectroscopy to improve the characterization of 76 low-mass stars around which K2 had detected 79 candidate transiting planets. Thirty of these worlds were new discoveries that have not previously been published. We calculate the false positive"}]}, {"cluster_id": 4, "size": 43017, "avg_prob": 1.0, "supergroup_id": null, "supergroup_top_terms": "ph cond mat astro phase cond_mat field mass quantum states", "group_id": 6, "group_top_terms": "astro ph astro_ph mass star emission observations 10 formation galaxy", "top_terms": "galaxies galaxy mass stellar astro dark halo formation clusters star cluster ph matter gas density redshift astro_ph simulations ga dark_matter", "contrast_terms": "halo clusters spiral halos haloes stellar_mass hi more satellites milky early bulge", "cluster_title": "astro ph / dark matter / stellar mass", "cohesion_mean_sim": 0.8474008440971375, "cohesion_p10_sim": 0.8150853514671326, "reps": [{"rep_rank": 1, "rep_sim": 0.895531177520752, "chunk_id": "chunk_02147067", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 2147067, "text_preview": "Do micro brown dwarf detections explain the galactic dark matter? Context: The baryonic dark matter dominating the structures of galaxies is widely considered as mysterious, but hints for it have been in fact detected in several astronomical observations at optical, infrared, and radio wavelengths. We call attention to the nature of galaxy merging, the observed rapid microlensing of a quasar, the"}, {"rep_rank": 2, "rep_sim": 0.891376793384552, "chunk_id": "chunk_01376866", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 1376866, "text_preview": "The internal structure and formation of early-type galaxies: the gravitational--lens system MG2016+112 at z=1.004 [Abridged] We combine our measurements of the velocity dispersion and the surface brightness profile of the lens galaxy D in the system MG2016+112 (z=1.004) with constraints from gravitational lensing to study its internal mass distribution. We find that: (i) dark matter accounts for"}, {"rep_rank": 3, "rep_sim": 0.8913664221763611, "chunk_id": "chunk_00071311", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 71311, "text_preview": "Recent Observations of the Rotation of Distant Galaxies and the Implication for Dark Matter Recent measurements of gas velocity in the outer parts of high redshift galaxies suggest that steeply falling rotation curves may be common, or even universal, in these galaxies, in contrast to the near universal flat, non-declining rotation curves in nearby galaxies. We investigate the implications of th"}]}, {"cluster_id": 5, "size": 42254, "avg_prob": 1.0, "supergroup_id": null, "supergroup_top_terms": "ph cond mat astro phase cond_mat field mass quantum states", "group_id": 6, "group_top_terms": "astro ph astro_ph mass star emission observations 10 formation galaxy", "top_terms": "stars astro gas star stellar molecular ph dust formation emission line mass abundances solar absorption astro_ph observations disk abundance 10", "contrast_terms": "abundances abundance atmosphere fe cloud chemical clouds temperature ch rich atmospheres circumstellar", "cluster_title": "astro ph / stars / astro", "cohesion_mean_sim": 0.8391243815422058, "cohesion_p10_sim": 0.8085892200469971, "reps": [{"rep_rank": 1, "rep_sim": 0.8839572072029114, "chunk_id": "chunk_01935060", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 1935060, "text_preview": "Probing the evolution of molecular cloud structure: From quiescence to birth Aims: We derive the probability density functions (PDFs) of column density for a complete sample of prominent molecular cloud complexes closer than 200 pc. Methods: We derive near-infrared dust extinction maps for 23 molecular cloud complexes, using the \"nicest\" colour excess mapping technique and data from the 2MASS ar"}, {"rep_rank": 2, "rep_sim": 0.8814926147460938, "chunk_id": "chunk_00530731", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 530731, "text_preview": "Sampling Molecular Gas in the Helix Planetary Nebula: Variation in HNC/HCN with UV Flux Observations of molecular clouds, prestellar cores, and protoplanetary disks have established that the HNC/HCN ratio may be a potent diagnostic of molecular gas physical conditions. The processes that govern the relative abundances of these molecules nevertheless remain poorly understood. We seek to exploit t"}, {"rep_rank": 3, "rep_sim": 0.8778935670852661, "chunk_id": "chunk_02112827", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 2112827, "text_preview": "Temperature and kinematics of protoclusters with intermediate and high-mass stars: the case of IRAS 05345+3157 We have mapped at small spatial scales the temperature and the velocity field in the protocluster associated with IRAS 05345+3157, which contains both intermediate-/high-mass protostellar candidates and starless condensations, and is thus an excellent location to investigate the role of"}]}, {"cluster_id": 6, "size": 41458, "avg_prob": 1.0, "supergroup_id": null, "supergroup_top_terms": "ph cond mat astro phase cond_mat field mass quantum states", "group_id": 8, "group_top_terms": "cond mat cond_mat quantum field phase spin ph state states", "top_terms": "graphene cond mat electronic band electron mtrl sci surface materials transport cond_mat charge properties strain energy states metal carrier hall", "contrast_terms": "strain carrier phonon 2d dielectric ev spectroscopy semiconductor mos2 semiconductors principles bandgap", "cluster_title": "cond mat / graphene / cond", "cohesion_mean_sim": 0.8305912017822266, "cohesion_p10_sim": 0.8007399439811707, "reps": [{"rep_rank": 1, "rep_sim": 0.8745150566101074, "chunk_id": "chunk_02954879", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 2954879, "text_preview": "Imaging material functionality through 3D nanoscale tracking of energy flow The ability of energy carriers to move between atoms and molecules underlies biochemical and material function. Understanding and controlling energy flow, however, requires observing it on ultrasmall and ultrafast spatiotemporal scales, where energetic and structural roadblocks dictate the fate of energy carriers. Here w"}, {"rep_rank": 2, "rep_sim": 0.8715025186538696, "chunk_id": "chunk_00666306", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 666306, "text_preview": "Anisotropy of the Optical Properties of Pentacene:Black Phosphorus Interfaces Black phosphorus (BP) is a layered material with anisotropic properties. We study interfaces formed by a pentacene monolayer adsorbed on monolayer BP, a prototypical system for BP surface passivation. We place the pentacene monolayer along the zigzag and armchair directions of the BP substrate, respectively, to examine"}, {"rep_rank": 3, "rep_sim": 0.8710089921951294, "chunk_id": "chunk_02743230", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 2743230, "text_preview": "Electronic transport in a two-dimensional superlattice engineered via self-assembled nanostructures Nanoscience offers a unique opportunity to design modern materials from the bottom up, via low-cost, solution processed assembly of nanoscale building blocks. These systems promise electronic band structure engineering using not only the nanoscale structural modulation, but also the mesoscale spat"}]}, {"cluster_id": 7, "size": 41305, "avg_prob": 1.0, "supergroup_id": null, "supergroup_top_terms": "ph cond mat astro phase cond_mat field mass quantum states", "group_id": 8, "group_top_terms": "cond mat cond_mat quantum field phase spin ph state states", "top_terms": "cond mat quantum spin model phase lattice cond_mat field ising str el dimensional critical state system two ground temperature cats_cond", "contrast_terms": "ising finite chain hubbard exact transitions heisenberg interacting monte carlo renormalization dimer", "cluster_title": "cond mat / cats cond / cond", "cohesion_mean_sim": 0.8551461696624756, "cohesion_p10_sim": 0.8327255845069885, "reps": [{"rep_rank": 1, "rep_sim": 0.8873258233070374, "chunk_id": "chunk_02754470", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 2754470, "text_preview": "Critical quench dynamics of random quantum spin chains: Ultra-slow relaxation from initial order and delayed ordering from initial disorder By means of free fermionic techniques combined with multiple precision arithmetic we study the time evolution of the average magnetization, $\\overline{m}(t)$, of the random transverse-field Ising chain after global quenches. We observe different relaxation b"}, {"rep_rank": 2, "rep_sim": 0.887071967124939, "chunk_id": "chunk_02020502", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 2020502, "text_preview": "Theory of smeared quantum phase transitions We present an analytical strong-disorder renormalization group theory of the quantum phase transition in the dissipative random transverse-field Ising chain. For Ohmic dissipation, we solve the renormalization flow equations analytically, yielding asymptotically exact results for the low-temperature properties of the system. We find that the interplay b"}, {"rep_rank": 3, "rep_sim": 0.8866462707519531, "chunk_id": "chunk_01982245", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 1982245, "text_preview": "The Half-Filled One-Dimensional Extended Hubbard Model: Phase diagram and Thermodynamics We study the thermodynamics of the one-dimensional extended Hubbard model at half-filling using a density-matrix renormalization group method applied to transfer matrices. We show that the various phase transitions in this system can be detected by measuring usual thermodynamic quantities like the isothermal"}]}, {"cluster_id": 8, "size": 41219, "avg_prob": 1.0, "supergroup_id": 2, "supergroup_top_terms": "cs based model data models learning performance time network training", "group_id": 1, "group_top_terms": "cs based data model models learning performance deep lg network", "top_terms": "image images learning cv detection cs segmentation features network performance deep training based feature method recognition object proposed convolutional dataset", "contrast_terms": "recognition fusion super convolution low super_resolution color module convolutional vision end attention", "cluster_title": "super resolution / image / images", "cohesion_mean_sim": 0.8358882665634155, "cohesion_p10_sim": 0.8013114929199219, "reps": [{"rep_rank": 1, "rep_sim": 0.8929234743118286, "chunk_id": "chunk_00563026", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 563026, "text_preview": "Raw or Cooked? Object Detection on RAW Images Images fed to a deep neural network have in general undergone several handcrafted image signal processing (ISP) operations, all of which have been optimized to produce visually pleasing images. In this work, we investigate the hypothesis that the intermediate representation of visually pleasing images is sub-optimal for downstream computer vision task"}, {"rep_rank": 2, "rep_sim": 0.8890680074691772, "chunk_id": "chunk_00110146", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 110146, "text_preview": "Exploring the Sharpened Cosine Similarity Convolutional layers have long served as the primary workhorse for image classification. Recently, an alternative to convolution was proposed using the Sharpened Cosine Similarity (SCS), which in theory may serve as a better feature detector. While multiple sources report promising results, there has not been to date a full-scale empirical analysis of neu"}, {"rep_rank": 3, "rep_sim": 0.8834819197654724, "chunk_id": "chunk_02466306", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 2466306, "text_preview": "Dual-stream Network for Visual Recognition Transformers with remarkable global representation capacities achieve competitive results for visual tasks, but fail to consider high-level local pattern information in input images. In this paper, we present a generic Dual-stream Network (DS-Net) to fully explore the representation capacity of local and global pattern features for image classification."}]}, {"cluster_id": 9, "size": 40680, "avg_prob": 1.0, "supergroup_id": 1, "supergroup_top_terms": "math mathbb space prove theory cats_math equation field group hep", "group_id": 4, "group_top_terms": "math mathbb cats_math prove group groups space spaces mathcal algebra", "top_terms": "graphs graph vertices co math number mathsf math_co vertex gamma every cats_math_co poset co_year math_co_year set edges edge degree mathcal", "contrast_terms": "graphs graph vertices mathsf vertex cats_math_co poset co_year math_co_year edges edge bipartite", "cluster_title": "math co / cats math co / co year", "cohesion_mean_sim": 0.8405511379241943, "cohesion_p10_sim": 0.804091215133667, "reps": [{"rep_rank": 1, "rep_sim": 0.8922615051269531, "chunk_id": "chunk_00476643", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 476643, "text_preview": "Induced subgraphs and tree decompositions III. Three-path-configurations and logarithmic treewidth A theta is a graph consisting of two non-adjacent vertices and three internally disjoint paths between them, each of length at least two. For a family $\\mathcal{H}$ of graphs, we say a graph $G$ is $\\mathcal{H}$-free if no induced subgraph of $G$ is isomorphic to a member of $\\mathcal{H}$. We prove"}, {"rep_rank": 2, "rep_sim": 0.8874323964118958, "chunk_id": "chunk_01628753", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 1628753, "text_preview": "On a theorem of Erd\\H{o}s and Simonovits on graphs not containing the cube The cube Q is the usual 8-vertex graph with 12 edges. Here we give a new proof for a theorem of Erd\\H{o}s and Simonovits concerning the Tur\\'an number of the cube. Namely, it is shown that e(G) < n^{8/5}+(2n)^{3/2} holds for any n-vertex cube-free graph G. Our aim is to give a self-contained exposition. We also point out"}, {"rep_rank": 3, "rep_sim": 0.8847537040710449, "chunk_id": "chunk_01264481", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 1264481, "text_preview": "On the structure of (dart, odd hole)-free graphs A hole is a chordless cycle with at least four vertices. A hole is odd if it has an odd number of vertices. A dart is a graph which vertices $a, b, c, d, e$ and edges $ab, bc, bd, be, cd, de$. Dart-free graphs have been actively studied in the literature. We prove that a (dart, odd hole)-free graph is perfect, or does not contain a stable set on th"}]}, {"cluster_id": 10, "size": 39578, "avg_prob": 1.0, "supergroup_id": 1, "supergroup_top_terms": "math mathbb space prove theory cats_math equation field group hep", "group_id": 4, "group_top_terms": "math mathbb cats_math prove group groups space spaces mathcal algebra", "top_terms": "math cohomology category homology group equivariant mathbb ag homotopy groups gt manifolds theory invariants manifold torus conjecture modules algebra cats_math", "contrast_terms": "homology equivariant invariants torus sheaves links toric knots fibrations calabi yau flag", "cluster_title": "cats math / math / cohomology", "cohesion_mean_sim": 0.8499131202697754, "cohesion_p10_sim": 0.8254242539405823, "reps": [{"rep_rank": 1, "rep_sim": 0.8980756402015686, "chunk_id": "chunk_00322917", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 322917, "text_preview": "Note on factorization categories We fill in what we consider as a gap in the construction of the factorizable Satake functor in the constructible setting in arXiv:1608.00284 and arXiv:1708.07205. To do so, we summarize four different constructions of factorization sheaves of categories on the Ran space and establish some relations between them. We also generalize the Drinfeld-Plucker formalism fr"}, {"rep_rank": 2, "rep_sim": 0.8938080668449402, "chunk_id": "chunk_00361544", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 361544, "text_preview": "Automorphisms, cohomology and extensions of symmetric quandles It is well-known that the cohomology of symmetric quandles generates robust cocycle invariants for unoriented classical and surface links. Expanding on the recently introduced module-theoretic generalized cohomology for symmetric quandles, we derive a four-term exact sequence that relates 1-cocycles, second cohomology, and a specific"}, {"rep_rank": 3, "rep_sim": 0.8872089385986328, "chunk_id": "chunk_00570884", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 570884, "text_preview": "Langlands duality for skein modules of 3-manifolds I introduce new Langlands duality conjectures concerning skein modules of 3-manifolds, which we have made recently with David Ben-Zvi, Sam Gunningham, and Pavel Safronov. I recount some historical motivation and some recent special cases where the conjecture is confirmed. The proofs in these cases combine the representation theory of double affin"}]}, {"cluster_id": 11, "size": 39234, "avg_prob": 1.0, "supergroup_id": 1, "supergroup_top_terms": "math mathbb space prove theory cats_math equation field group hep", "group_id": 4, "group_top_terms": "math mathbb cats_math prove group groups space spaces mathcal algebra", "top_terms": "math groups group finite mathbb rings ring over let mathcal conjecture subgroups codes prime algebras rank mathfrak prove cats_math some", "contrast_terms": "rings subgroups subgroup ideals math_gr generated frobenius ac commutative fields automorphism elements", "cluster_title": "cats math / math gr / math", "cohesion_mean_sim": 0.8341062664985657, "cohesion_p10_sim": 0.799258291721344, "reps": [{"rep_rank": 1, "rep_sim": 0.8791382312774658, "chunk_id": "chunk_01336347", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 1336347, "text_preview": "Arithmetic in the Boij S\\\"oderberg Cone We study two long-standing conjectures concerning lower bounds for the Betti numbers of a graded module over a polynomial ring. We prove new cases of these conjectures in codimensions five and six by reframing the conjectures as arithmetic problems in the Boij-S\\\"oderberg cone. In this setting, potential counterexamples correspond to explicit Diophantine ob"}, {"rep_rank": 2, "rep_sim": 0.8782466053962708, "chunk_id": "chunk_01819731", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 1819731, "text_preview": "On dynamic algorithms for factorization invariants in numerical monoids Studying the factorization theory of numerical monoids relies on understanding several important factorization invariants, including length sets, delta sets, and $\\omega$-primality. While progress in this field has been accelerated by the use of computer algebra systems, many existing algorithms are computationally infeasible"}, {"rep_rank": 3, "rep_sim": 0.8777754306793213, "chunk_id": "chunk_02793975", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 2793975, "text_preview": "Two-valenced association schemes and the Desargues theorem The main goal of the paper is to establish a sufficient condition for a two-valenced association scheme to be schurian and separable. To this end, an analog of the Desargues theorem is introduced for a noncommutative geometry defined by the scheme in question. It turns out that if the geometry has enough many Desarguesian configurations,"}]}, {"cluster_id": 12, "size": 39173, "avg_prob": 1.0, "supergroup_id": 1, "supergroup_top_terms": "math mathbb space prove theory cats_math equation field group hep", "group_id": 4, "group_top_terms": "math mathbb cats_math prove group groups space spaces mathcal algebra", "top_terms": "math numbers nt polynomials number mathbb functions frac math_nt prime sum zeta alpha nt_year polynomial function formula series prove cats_math_nt", "contrast_terms": "numbers zeta series cats_math_nt integer bigg log math_nt_year integers primes values arithmetic", "cluster_title": "math nt / nt year / cats math nt", "cohesion_mean_sim": 0.8155586123466492, "cohesion_p10_sim": 0.7686017751693726, "reps": [{"rep_rank": 1, "rep_sim": 0.8797516822814941, "chunk_id": "chunk_01972732", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 1972732, "text_preview": "A Symplectic Test of the L-Functions Ratios Conjecture Recently Conrey, Farmer and Zirnbauer conjectured formulas for the averages over a family of ratios of products of shifted L-functions. Their L-functions Ratios Conjecture predicts both the main and lower order terms for many problems, ranging from n-level correlations and densities to mollifiers and moments to vanishing at the central point."}, {"rep_rank": 2, "rep_sim": 0.8775050640106201, "chunk_id": "chunk_02229935", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 2229935, "text_preview": "Expanding total sieve and patterns in primes Let $\\big(\\mathcal{S}_n^{\\alpha,\\kappa,\\mathfrak{r}}(z)\\big)_{n=1}^\\infty$ be a sequence of the largest possible integer intervals, such that $z\\in\\mathcal{S}_n^{\\alpha,\\kappa,\\mathfrak{r}}(z)\\subset\\overline{\\mathcal{M}}_n^{\\alpha,\\kappa,\\mathfrak{r}}=\\bigcup_{i=1}^n [\\mathfrak{r}_i]_{\\mathfrak{p}_i}$ or $\\mathcal{S}_n^{\\alpha,\\kappa,\\mathfrak{r}}(z)="}, {"rep_rank": 3, "rep_sim": 0.8755429983139038, "chunk_id": "chunk_01085920", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 1085920, "text_preview": "A Direct Ultrametric Approach to Additive Complexity and the Shub-Smale Tau Conjecture The Shub-Smale Tau Conjecture is a hypothesis relating the number of integral roots of a polynomial f in one variable and the Straight-Line Program (SLP) complexity of f. A consequence of the truth of this conjecture is that, for the Blum-Shub-Smale model over the complex numbers, P differs from NP. We prove t"}]}, {"cluster_id": 13, "size": 38422, "avg_prob": 1.0, "supergroup_id": 1, "supergroup_top_terms": "math mathbb space prove theory cats_math equation field group hep", "group_id": 4, "group_top_terms": "math mathbb cats_math prove group groups space spaces mathcal algebra", "top_terms": "algebras algebra math lie mathfrak modules group hopf rt quantum qa groups product type category tensor ra mathbb gl math_qa", "contrast_terms": "hopf quantum qa tensor ra gl math_qa representations math_rt sl lie_algebras lie_algebra", "cluster_title": "math qa / math rt / lie algebras", "cohesion_mean_sim": 0.8517183065414429, "cohesion_p10_sim": 0.8251716494560242, "reps": [{"rep_rank": 1, "rep_sim": 0.9005405902862549, "chunk_id": "chunk_01852616", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 1852616, "text_preview": "Semi-symmetric algebras: General Constructions. Part II In our paper Semi-symmetric Algebras: General Constructions, J. Algebra, 148 (1992), pp. 479-496, we present the construction of the semi-symmetric algebra of a module over a commutative ring with unit, which generalizes the tensor algebra, the symmetric algebra, and the exterior algebra, deduce some of its functorial properties, and prove a"}, {"rep_rank": 2, "rep_sim": 0.8963612914085388, "chunk_id": "chunk_01750380", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 1750380, "text_preview": "Cluster algebras and category O for representations of Borel subalgebras of quantum affine algebras Let $\\mathcal{O}$ be the category of representations of the Borel subalgebra of a quantum affine algebra introduced by Jimbo and the first author. We show that the Grothendieck ring of a certain monoidal subcategory of $\\mathcal{O}$ has the structure of a cluster algebra of infinite rank, with an"}, {"rep_rank": 3, "rep_sim": 0.891181468963623, "chunk_id": "chunk_02717417", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 2717417, "text_preview": "Multiplicaton formulas and canonical basis for quantum affine gl_n We will give a representation-theoretic proof for the multiplication formula in the Ringel-Hall algebra ${\\frak H}_\\Delta(n)$ of a cyclic quiver $\\Delta(n)$ given in \\cite[Thm~4.5]{DuFu2015quantum}. As a first application, we see immediately the existence of Hall polynomials for cyclic quivers, a fact established in \\cite{Guo1995h"}]}, {"cluster_id": 14, "size": 38391, "avg_prob": 1.0, "supergroup_id": 1, "supergroup_top_terms": "math mathbb space prove theory cats_math equation field group hep", "group_id": 4, "group_top_terms": "math mathbb cats_math prove group groups space spaces mathcal algebra", "top_terms": "math ag curves math_ag mathbb ag_year varieties surfaces conjecture genus math_ag_year cats_math_ag curve projective over prove nt cats_math smooth elliptic", "contrast_terms": "ag_year math_ag_year cats_math_ag curve modular variety families k3 hodge locus ag_math hypersurfaces", "cluster_title": "math ag / ag year / math ag year", "cohesion_mean_sim": 0.8425499200820923, "cohesion_p10_sim": 0.8126062154769897, "reps": [{"rep_rank": 1, "rep_sim": 0.8888208866119385, "chunk_id": "chunk_01770441", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 1770441, "text_preview": "On the dynamical degrees of reflections on cubic fourfolds We compute the dynamical degrees of certain compositions of reflections in points on a smooth cubic fourfold. Our interest in these computations stems from the irrationality problem for cubic fourfolds. Namely, we hope that they will provide numerical evidence for potential restrictions on tuples of dynamical degrees realisable on general"}, {"rep_rank": 2, "rep_sim": 0.8803935647010803, "chunk_id": "chunk_02648087", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 2648087, "text_preview": "Automorphisms of cubic surfaces in positive characteristic We classify all possible automorphism groups of smooth cubic surfaces over an algebraically closed field of arbitrary characteristic. As an intermediate step we also classify automorphism groups of quartic del Pezzo surfaces. We show that the moduli space of smooth cubic surfaces is rational in every characteristic, determine the dimensio"}, {"rep_rank": 3, "rep_sim": 0.8800164461135864, "chunk_id": "chunk_00967378", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 967378, "text_preview": "On a class of Danielewski surfaces in affine 3-space L. Makar-Limanov computed the automorphisms groups of surfaces in $\\mathbb{C}^{3}$ defined by the equations $x^{n}z-P(y)=0$, where $n\\geq1$ and $P(y)$ is a nonzero polynomial. Similar results have been obtained by A. Crachiola for surfaces defined by the equations $x^{n}z-y^{2}-h(x)y=0$, where $n\\geq2$ and $h(0)\\neq0$, defined over an arbitrary"}]}, {"cluster_id": 15, "size": 38000, "avg_prob": 1.0, "supergroup_id": null, "supergroup_top_terms": "ph cond mat astro phase cond_mat field mass quantum states", "group_id": 6, "group_top_terms": "astro ph astro_ph mass star emission observations 10 formation galaxy", "top_terms": "neutron star ray accretion black astro mass stars ph binary hole emission neutron_star gravitational pulsars pulsar binaries spin astro_ph core", "contrast_terms": "neutron neutron_star pulsars pulsar spin neutron_stars black_hole neutrino holes rotating collapse rate", "cluster_title": "neutron star / astro ph / neutron stars", "cohesion_mean_sim": 0.8348737955093384, "cohesion_p10_sim": 0.8048495054244995, "reps": [{"rep_rank": 1, "rep_sim": 0.8911967277526855, "chunk_id": "chunk_00682962", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 682962, "text_preview": "A study of the agreement between binary neutron star ejecta models derived from numerical relativity simulations Neutron star mergers have recently become a tool to study extreme gravity, nucleosynthesis, and the chemical composition of the Universe. To date, there has been one joint gravitational and electromagnetic observation of a binary neutron star merger, GW170817, as well as a solely grav"}, {"rep_rank": 2, "rep_sim": 0.8790253400802612, "chunk_id": "chunk_02711456", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 2711456, "text_preview": "X-ray flashes powered by the spindown of long-lived neutron stars X-ray flashes (XRFs) are a class of high-energy transients whose nature is still open to question. Similar in many aspects to common gamma-ray bursts (GRBs), their strong X-ray emission is accompanied by very low or absent emission in the gamma-ray band. Despite this key difference, a number of indications have consolidated the ide"}, {"rep_rank": 3, "rep_sim": 0.8787518739700317, "chunk_id": "chunk_02117451", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 2117451, "text_preview": "Evidence of Fast Magnetic Field Evolution in an Accreting Millisecond Pulsar The large majority of neutron stars (NSs) in low mass X-ray binaries (LMXBs) have never shown detectable pulsations despite several decades of intense monitoring. The reason for this remains an unsolved problem that hampers our ability to measure the spin frequency of most accreting NSs. The accreting millisecond X-ray"}]}, {"cluster_id": 16, "size": 37696, "avg_prob": 1.0, "supergroup_id": null, "supergroup_top_terms": "ph cond mat astro phase cond_mat field mass quantum states", "group_id": 8, "group_top_terms": "cond mat cond_mat quantum field phase spin ph state states", "top_terms": "superconducting cond mat superconductors superconductivity con supr superconductor temperature supr_con mat_supr cond_mat spin magnetic phase tc pairing field mat_supr_con cond_mat_supr", "contrast_terms": "superconductors superconductivity con supr superconductor supr_con mat_supr tc pairing mat_supr_con cond_mat_supr con_year", "cluster_title": "supr con / mat supr / cond mat", "cohesion_mean_sim": 0.8488760590553284, "cohesion_p10_sim": 0.8208817839622498, "reps": [{"rep_rank": 1, "rep_sim": 0.8977645635604858, "chunk_id": "chunk_00775052", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 775052, "text_preview": "Superconducting ``metals'' and ``insulators'' We propose a characterization of zero temperature phases in disordered superconductors on the basis of the nature of quasiparticle transport. In three dimensional systems, there are two distinct phases in close analogy to the distinction between normal metals and insulators: the superconducting \"metal\" with delocalized quasiparticle excitations and th"}, {"rep_rank": 2, "rep_sim": 0.8885074257850647, "chunk_id": "chunk_00901361", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 901361, "text_preview": "Fermi liquid interactions and the superfluid density in d-wave superconductors We construct a phenomenological superfluid Fermi liquid theory for a two-dimensional d-wave superconductor on a square lattice, and study the effect of quasiparticle interactions on the superfluid density. Using simple models for the dispersion and the Landau interaction function, we illustrate the deviation of these"}, {"rep_rank": 3, "rep_sim": 0.88776695728302, "chunk_id": "chunk_00481304", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 481304, "text_preview": "Many-body selection rule for quasiparticle pair creations in centrosymmetric superconductors When metal becomes superconducting, new optical excitation channels are created by particle-hole mixing. These excitation channels contribute negligibly to optical responses in most superconductors, but they can be relevant in ultra-strong-coupling superconductors that are close to the Bose-Einstein cond"}]}, {"cluster_id": 17, "size": 36843, "avg_prob": 1.0, "supergroup_id": 2, "supergroup_top_terms": "cs based model data models learning performance time network training", "group_id": 1, "group_top_terms": "cs based data model models learning performance deep lg network", "top_terms": "neural networks learning deep training cs network neural_networks adversarial lg model dnns data performance models accuracy memory deep_neural tasks classification", "contrast_terms": "neural_networks dnns deep_neural robustness layer dnn spiking neural_network deep_neural_networks input continual snns", "cluster_title": "neural networks / deep neural / neural network", "cohesion_mean_sim": 0.8442262411117554, "cohesion_p10_sim": 0.8170105814933777, "reps": [{"rep_rank": 1, "rep_sim": 0.8951045870780945, "chunk_id": "chunk_00383159", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 383159, "text_preview": "Neuro-Inspired Deep Neural Networks with Sparse, Strong Activations While end-to-end training of Deep Neural Networks (DNNs) yields state of the art performance in an increasing array of applications, it does not provide insight into, or control over, the features being extracted. We report here on a promising neuro-inspired approach to DNNs with sparser and stronger activations. We use standard"}, {"rep_rank": 2, "rep_sim": 0.8898895978927612, "chunk_id": "chunk_00116389", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 116389, "text_preview": "Performance-optimized deep neural networks are evolving into worse models of inferotemporal visual cortex One of the most impactful findings in computational neuroscience over the past decade is that the object recognition accuracy of deep neural networks (DNNs) correlates with their ability to predict neural responses to natural images in the inferotemporal (IT) cortex. This discovery supported"}, {"rep_rank": 3, "rep_sim": 0.8840184211730957, "chunk_id": "chunk_00072565", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 72565, "text_preview": "PirateNets: Physics-informed Deep Learning with Residual Adaptive Networks While physics-informed neural networks (PINNs) have become a popular deep learning framework for tackling forward and inverse problems governed by partial differential equations (PDEs), their performance is known to degrade when larger and deeper neural network architectures are employed. Our study identifies that the roo"}]}, {"cluster_id": 18, "size": 36172, "avg_prob": 1.0, "supergroup_id": 1, "supergroup_top_terms": "math mathbb space prove theory cats_math equation field group hep", "group_id": 3, "group_top_terms": "field hep theory quantum space th gauge gravity hep_th ph", "top_terms": "universe cosmological dark inflation qc gr matter scalar field model hep energy gravity ph cosmology gr_qc astro inflationary dark_energy gravitational", "contrast_terms": "dark inflation cosmology inflationary dark_energy lambda hubble quintessence axion inflaton co dark_matter", "cluster_title": "gr qc / dark energy / dark matter", "cohesion_mean_sim": 0.8438337445259094, "cohesion_p10_sim": 0.818967342376709, "reps": [{"rep_rank": 1, "rep_sim": 0.8976587057113647, "chunk_id": "chunk_02761988", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 2761988, "text_preview": "Kaluza-Klein Towers in the Early Universe: Phase Transitions, Relic Abundances, and Applications to Axion Cosmology We study the early-universe cosmology of a Kaluza-Klein (KK) tower of scalar fields in the presence of a mass-generating phase transition, focusing on the time-development of the total tower energy density (or relic abundance) as well as its distribution across the different KK mod"}, {"rep_rank": 2, "rep_sim": 0.8892121315002441, "chunk_id": "chunk_00301384", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 301384, "text_preview": "Analytic and Numerical Study of Scalar Perturbations in Loop Quantum Cosmology The possibility that quantum geometry effects may alleviate the apparent tensions existing at large angular scales in the observations of the Cosmic Microwave Background explains the increasing interest in considering primordial perturbations within the framework of Loop Quantum Cosmology. In this framework, a number"}, {"rep_rank": 3, "rep_sim": 0.8854031562805176, "chunk_id": "chunk_00690710", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 690710, "text_preview": "Possible quantum effects at the transition from cosmological deceleration to acceleration The recent transition from decelerated to accelerated expansion can be seen as a reflection (or \"bounce\") in the connection variable, defined by the inverse comoving Hubble length ($b=\\dot a$, on-shell). We study the quantum cosmology of this process. We use a formalism for obtaining relational time variabl"}]}, {"cluster_id": 19, "size": 36152, "avg_prob": 1.0, "supergroup_id": 2, "supergroup_top_terms": "cs based model data models learning performance time network training", "group_id": 7, "group_top_terms": "cs problem time based model network optimal algorithm algorithms math", "top_terms": "wireless channel communication ris network networks mimo performance proposed interference beamforming sensing eess cs users sp antenna user based transmission", "contrast_terms": "ris beamforming sensing sp antenna 5g radio mobile eess_sp uav communications intelligent", "cluster_title": "eess sp / wireless / channel", "cohesion_mean_sim": 0.8232365250587463, "cohesion_p10_sim": 0.78017657995224, "reps": [{"rep_rank": 1, "rep_sim": 0.8817598223686218, "chunk_id": "chunk_02785516", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 2785516, "text_preview": "Reduced-Dimension Design of MIMO Over-the-Air Computing for Data Aggregation in Clustered IoT Networks One basic operation of Internet-of-Things (IoT) networks is aggregating distributed sensing-data over wireless-channels for function-computation, called wireless-data-aggregation (WDA). Targeting dense sensors, a recently developed technology called over-the-air computing (AirComp) can dramatic"}, {"rep_rank": 2, "rep_sim": 0.8743055462837219, "chunk_id": "chunk_00661846", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 661846, "text_preview": "Multi-Armed Bandit Dynamic Beam Zooming for mmWave Alignment and Tracking We propose an Integrated Sensing and Communication (ISAC) algorithm that exploits the structure of a hierarchical codebook of beamforming vectors using a best-arm identification Multi-Armed Bandit (MAB) approach for initial alignment and tracking of a Mobile Entity (ME). The algorithm, called Dynamic Beam Zooming (DBZ), pe"}, {"rep_rank": 3, "rep_sim": 0.8742417693138123, "chunk_id": "chunk_02542797", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 2542797, "text_preview": "FD Cell-Free mMIMO: Analysis and Optimization Cell-free (CF) massive multiple-input-multiple-output (mMIMO) deployments are usually investigated with half-duplex nodes and high-capacity fronthaul links. To leverage the possible gains in throughput and energy efficiency (EE) of full-duplex (FD) communications, we consider a FD CF mMIMO system with practical limited-capacity fronthaul links. We der"}]}, {"cluster_id": 20, "size": 35338, "avg_prob": 1.0, "supergroup_id": 2, "supergroup_top_terms": "cs based model data models learning performance time network training", "group_id": 9, "group_top_terms": "cs based model models data language learning human knowledge llms", "top_terms": "image visual video text language cs learning models vision cv multimodal semantic object recognition tasks model modal training human attention", "contrast_terms": "image visual video vision cv multimodal object modal vlms videos images clip", "cluster_title": "image / visual / video", "cohesion_mean_sim": 0.8576619029045105, "cohesion_p10_sim": 0.8288285732269287, "reps": [{"rep_rank": 1, "rep_sim": 0.9020704030990601, "chunk_id": "chunk_01258135", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 1258135, "text_preview": "Multimodal Fusion and Vision-Language Models: A Survey for Robot Vision Robot vision has greatly benefited from advancements in multimodal fusion techniques and vision-language models (VLMs). We adopt a task-oriented perspective to systematically review the applications and advancements of multimodal fusion methods and VLMs in the field of robot vision. For semantic scene understanding tasks, we"}, {"rep_rank": 2, "rep_sim": 0.9019001722335815, "chunk_id": "chunk_01307482", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 1307482, "text_preview": "When LLaVA Meets Objects: Token Composition for Vision-Language-Models Current autoregressive Vision Language Models (VLMs) usually rely on a large number of visual tokens to represent images, resulting in a need for more compute especially at inference time. To address this problem, we propose Mask-LLaVA, a framework that leverages different levels of visual features to create a compact yet info"}, {"rep_rank": 3, "rep_sim": 0.8979299068450928, "chunk_id": "chunk_00707798", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 707798, "text_preview": "SuS-X: Training-Free Name-Only Transfer of Vision-Language Models Contrastive Language-Image Pre-training (CLIP) has emerged as a simple yet effective way to train large-scale vision-language models. CLIP demonstrates impressive zero-shot classification and retrieval on diverse downstream tasks. However, to leverage its full potential, fine-tuning still appears to be necessary. Fine-tuning the en"}]}, {"cluster_id": 21, "size": 34715, "avg_prob": 1.0, "supergroup_id": null, "supergroup_top_terms": "ph cond mat astro phase cond_mat field mass quantum states", "group_id": 5, "group_top_terms": "hep ph quark ex mass energy hep_ph nu boson cats_hep", "top_terms": "higgs hep mass model neutrino ph hep_ph dark standard supersymmetric boson nu lepton mu susy masses standard_model matter decay electroweak", "contrast_terms": "supersymmetric lepton susy electroweak models sm violation scale leptogenesis supersymmetry sector couplings", "cluster_title": "hep ph / standard model / higgs", "cohesion_mean_sim": 0.8457554578781128, "cohesion_p10_sim": 0.8192267417907715, "reps": [{"rep_rank": 1, "rep_sim": 0.8898894786834717, "chunk_id": "chunk_02084152", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 2084152, "text_preview": "125 GeV Higgs Boson, Enhanced Di-photon Rate, and Gauged U(1)_PQ-Extended MSSM The ATLAS and CMS collaborations have announced discovery of a ~125 GeV Higgs boson, after a combined analysis of the di-photon and ZZ search channels. This observation has significant impact on low-energy supersymmetry. First, some fine-tuning is necessary to accommodate such a Higgs mass in the Minimal Supersymmetri"}, {"rep_rank": 2, "rep_sim": 0.8888354301452637, "chunk_id": "chunk_01060795", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 1060795, "text_preview": "Higgs Scalar-Pseudoscalar Mixing in the Minimal Supersymmetric Standard Model In the minimal supersymmetric Standard Model, the heaviest CP-even Higgs boson H and the CP-odd Higgs scalar A are predicted to be almost degenerate in mass at the tree level, for the wide kinematic range M_A > 2M_Z and \\tan\\beta \\ge 2. However, if large soft-CP-violating Yukawa interactions involving scalar quarks of"}, {"rep_rank": 3, "rep_sim": 0.8860119581222534, "chunk_id": "chunk_02102389", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 2102389, "text_preview": "Vacuum Instabilities with a Wrong-Sign Higgs-Gluon-Gluon Amplitude The recently discovered 125 GeV boson appears very similar to a Standard Model Higgs, but with data favoring an enhanced h to gamma gamma rate. A number of groups have found that fits would allow (or, less so after the latest updates, prefer) that the h-t-tbar coupling have the opposite sign. This can be given meaning in the conte"}]}, {"cluster_id": 22, "size": 34591, "avg_prob": 1.0, "supergroup_id": null, "supergroup_top_terms": "ph cond mat astro phase cond_mat field mass quantum states", "group_id": 8, "group_top_terms": "cond mat cond_mat quantum field phase spin ph state states", "top_terms": "topological hall cond mat states quantum spin magnetic dirac graphene mes edge surface band insulator cond_mat field phase insulators symmetry", "contrast_terms": "topological dirac edge insulator insulators weyl valley semimetal bulk edge_states majorana landau", "cluster_title": "cond mat / edge states / topological", "cohesion_mean_sim": 0.8548527359962463, "cohesion_p10_sim": 0.8327797651290894, "reps": [{"rep_rank": 1, "rep_sim": 0.8962991237640381, "chunk_id": "chunk_00282069", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 282069, "text_preview": "Topological quantum phase transitions driven by a displacement field in the twisted MoTe2 bilayers We study twisted bilayer MoTe$_2$ systems at fractional fillings of the lowest hole band under an applied out-of-plane displacement field. By employing exact diagonalization in finite-size systems, we systematically map out the ground state quantum phase diagram for two filling fractions, $\\nu=1/3$"}, {"rep_rank": 2, "rep_sim": 0.8904768824577332, "chunk_id": "chunk_00104856", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 104856, "text_preview": "Symmetry-enforced double Weyl points, multiband quantum geometry, and singular flat bands of doping-induced states at the Fermi level Two common difficulties in the design of topological quantum materials are that the desired features lie too far from the Fermi level and are spread over a too-large energy range. Doping-induced states at the Fermi level provide a solution, where nontrivial topolo"}, {"rep_rank": 3, "rep_sim": 0.890382707118988, "chunk_id": "chunk_00154444", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 154444, "text_preview": "Origin of flat bands and non-trivial topology in coupled kagome lattices We propose an exact analytical decimation transformation scheme to explore the fascinating coexistence of flat bands and Dirac fermions in three-dimensional coupled kagome systems. Our method allows coarse-graining of the parameter space that maps the original system to an equivalent low-level lattice. The decimated system e"}]}, {"cluster_id": 23, "size": 34332, "avg_prob": 1.0, "supergroup_id": null, "supergroup_top_terms": "ph cond mat astro phase cond_mat field mass quantum states", "group_id": 8, "group_top_terms": "cond mat cond_mat quantum field phase spin ph state states", "top_terms": "cond mat soft cond_mat mech particles polymer phase nucleation dynamics transition equilibrium stat mat_soft glass molecular force system model stat_mech", "contrast_terms": "nucleation glass stat_mech mat_stat mat_stat_mech cond_mat_stat fluid mech_year length diffusion distribution small", "cluster_title": "cond mat / mat soft / stat mech", "cohesion_mean_sim": 0.8427259922027588, "cohesion_p10_sim": 0.8157632946968079, "reps": [{"rep_rank": 1, "rep_sim": 0.8934921622276306, "chunk_id": "chunk_00081458", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 81458, "text_preview": "Microscopic Theory of Density Scaling: Coarse-Graining in Space and Time Understanding the structure and dynamics of liquids is pivotal for the study of larger spatiotemporal processes, especially in glass-forming materials at low temperatures. Density scaling, observed in many molecular systems through experiments, offers an efficient means for exploring a vast range of time scales along a one-d"}, {"rep_rank": 2, "rep_sim": 0.8921784162521362, "chunk_id": "chunk_01892805", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 1892805, "text_preview": "Spatial Correlation of the Dynamic Propensity in a Glass-Forming Liquid We present computer simulation results on the dynamic propensity [as defined by Widmer- Cooper, Harrowell, and Fynewever, Phys. Rev. Lett. 93, 135701 (2004)] in a Kob-Andersen binary Lennard-Jones liquid system consisting of 8788 particles. We compute the spatial correlation function of the dynamic propensity as a function of"}, {"rep_rank": 3, "rep_sim": 0.8867000341415405, "chunk_id": "chunk_02686056", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 2686056, "text_preview": "Mean-field beyond mean-field: the single particle view for moderately to strongly coupled charged fluids In a counter-ion only charged fluid, Coulomb coupling is quantified by a single dimensionless parameter. Yet, the theoretical treatment of moderately to strongly coupled charged fluids is a difficult task, central to the understanding of a wealth of soft matter problems, including biological"}]}, {"cluster_id": 24, "size": 33689, "avg_prob": 1.0, "supergroup_id": 1, "supergroup_top_terms": "math mathbb space prove theory cats_math equation field group hep", "group_id": 4, "group_top_terms": "math mathbb cats_math prove group groups space spaces mathcal algebra", "top_terms": "math algebras spaces mathcal space group groups algebra omega kappa prove topological lo banach finite cats_math theorem cardinals closed compact", "contrast_terms": "kappa lo cardinals forcing math_lo cardinal countable locally sigma equivalence borel actions", "cluster_title": "cats math / math lo / math", "cohesion_mean_sim": 0.8307337760925293, "cohesion_p10_sim": 0.7955737113952637, "reps": [{"rep_rank": 1, "rep_sim": 0.8843076229095459, "chunk_id": "chunk_01280895", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 1280895, "text_preview": "Characterizing $ (\\mathcal{F}, \\mathcal{G}) $-syndetic, $ (\\mathcal{F}, \\mathcal{G}) $-thick, and related notions of size using derived sets along ultrafilters We characterize relative notions of syndetic and thick sets using, what we call, \"derived\" sets along ultrafilters. Manipulations of derived sets is a characteristic feature of algebra in the Stone-\\v{C}ech compactification and its applica"}, {"rep_rank": 2, "rep_sim": 0.8817825317382812, "chunk_id": "chunk_02613984", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 2613984, "text_preview": "Generalized heredity in $\\mathcal B$-free systems Let $\\mathcal B\\subseteq\\mathbb N$ be a primitive set. We complement results on heredity of the $\\mathcal B$-free subshift $X_\\eta$ from [arxiv:1509.08010] in two directions: In the proximal case we prove that a subshift $X_\\varphi$, which micht be slightly larger than the subshift $X_\\eta$, is always hereditary. (There is no need to assume that t"}, {"rep_rank": 3, "rep_sim": 0.8780499696731567, "chunk_id": "chunk_00474927", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 474927, "text_preview": "Local right biadjoints, bistable pseudofunctors and 2-geometries for Grothendieck topoi We provide bicategorical analogs of several aspects of the notion of geometry in the sense of the theory of spectrum. We first introduce a notion of local right biadjoint, and prove it to be equivalent to a notion of bistable pseudofunctor, categorifying an analog 1-categorical result. We also describe furthe"}]}, {"cluster_id": 25, "size": 33603, "avg_prob": 1.0, "supergroup_id": null, "supergroup_top_terms": "ph cond mat astro phase cond_mat field mass quantum states", "group_id": 8, "group_top_terms": "cond mat cond_mat quantum field phase spin ph state states", "top_terms": "spin magnetic cond mat el str temperature phase transition cond_mat orbital lattice structure str_el mat_str field sci electronic mtrl state", "contrast_terms": "orbital ordering el_year str_el_year cu moment nd compound site skyrmions la neutron", "cluster_title": "cond mat / str el / mat str", "cohesion_mean_sim": 0.8503234386444092, "cohesion_p10_sim": 0.825238823890686, "reps": [{"rep_rank": 1, "rep_sim": 0.8901146054267883, "chunk_id": "chunk_00900046", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 900046, "text_preview": "Fingerprints of spin-orbital physics in cubic Mott insulators: Magnetic exchange interactions and optical spectral weights The temperature dependence and anisotropy of optical spectral weights associated with different multiplet transitions is determined by the spin and orbital correlations. To provide a systematic basis to exploit this close relationship between magnetism and optical spectra, w"}, {"rep_rank": 2, "rep_sim": 0.887069046497345, "chunk_id": "chunk_00921962", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 921962, "text_preview": "Low temperature spin fluctuations in geometrically frustrated Yb3Ga5O12 In the garnet structure compound Yb3Ga5O12, the Yb3+ ions (ground state effective spin S' = 1/2) are situated on two interpenetrating corner sharing triangular sublattices such that frustrated magnetic interactions are possible. Previous specific heat measurements evidenced the development of short range magnetic correlations"}, {"rep_rank": 3, "rep_sim": 0.8839811086654663, "chunk_id": "chunk_00590027", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 590027, "text_preview": "Spin-orbital order and excitons in magnetoresistive HoBi The magnetism of the rock-salt $fcc$ rare-earth monopnictide HoBi, a candidate topological material with extreme magnetoresistance, is investigated. From the Ho$^{3+}$ non-Kramers $J$=8 spin-orbital multiplet, the cubic crystal electric field yields six nearly degenerate low-energy levels. These constitute an anisotropic magnetic moment wit"}]}, {"cluster_id": 26, "size": 33530, "avg_prob": 1.0, "supergroup_id": 1, "supergroup_top_terms": "math mathbb space prove theory cats_math equation field group hep", "group_id": 3, "group_top_terms": "field hep theory quantum space th gauge gravity hep_th ph", "top_terms": "hep th string theory gauge hep_th brane branes supergravity theories supersymmetric dimensional cats_hep_th field solutions cats_hep non ads strings supersymmetry", "contrast_terms": "supergravity strings supersymmetry string_theory type backgrounds yau calabi iib id_hep id_hep_th gauged", "cluster_title": "hep th / cats hep th / cats hep", "cohesion_mean_sim": 0.8537234663963318, "cohesion_p10_sim": 0.8293061852455139, "reps": [{"rep_rank": 1, "rep_sim": 0.8980770111083984, "chunk_id": "chunk_01613784", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 1613784, "text_preview": "New N=1 dualities from orientifold transitions - Part I: Field Theory We report on a broad new class of N=1 gauge theory dualities which relate the worldvolume gauge theories of D3 branes probing different orientifolds of the same Calabi-Yau singularity. In this paper, we focus on the simplest example of these new dualities, arising from the orbifold singularity C^3/Z_3. We present extensive chec"}, {"rep_rank": 2, "rep_sim": 0.895520806312561, "chunk_id": "chunk_01035635", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 1035635, "text_preview": "Consistent S^2 Pauli Reduction of Six-dimensional Chiral Gauged Einstein-Maxwell Supergravity Six-dimensional N=(1,0) Einstein-Maxwell gauged supergravity is known to admit a (Minkowski)_4\\times S^2 vacuum solution with four-dimensional N=1 supersymmetry. The massless sector comprises a supergravity multiplet, an SU(2) Yang-Mills vector multiplet, and a scalar multiplet. In this paper it is show"}, {"rep_rank": 3, "rep_sim": 0.891850471496582, "chunk_id": "chunk_02186350", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 2186350, "text_preview": "Green-Schwarz Mechanism in Heterotic (2,0) Gauged Linear Sigma Models: Torsion and NS5 Branes Heterotic string compactifications can be conveniently described in the language of (2,0) gauged linear sigma models (GLSMs). Such models allow for Fayet-Iliopoulos (FI)-terms, which can be interpreted as Kahler parameters and axions on the target space geometry. We show that field dependent non-gauge i"}]}, {"cluster_id": 27, "size": 33182, "avg_prob": 1.0, "supergroup_id": 2, "supergroup_top_terms": "cs based model data models learning performance time network training", "group_id": 1, "group_top_terms": "cs based data model models learning performance deep lg network", "top_terms": "learning reinforcement policy rl reinforcement_learning cs agent agents reward lg based human ai environment tasks planning policies model multi robot", "contrast_terms": "reinforcement policy rl reinforcement_learning agent agents reward policies action exploration feedback offline", "cluster_title": "reinforcement learning / learning / reinforcement", "cohesion_mean_sim": 0.8539267182350159, "cohesion_p10_sim": 0.8210346102714539, "reps": [{"rep_rank": 1, "rep_sim": 0.9088362455368042, "chunk_id": "chunk_00237501", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 237501, "text_preview": "Guiding Reinforcement Learning Using Uncertainty-Aware Large Language Models Human guidance in reinforcement learning (RL) is often impractical for large-scale applications due to high costs and time constraints. Large Language Models (LLMs) offer a promising alternative to mitigate RL sample inefficiency and potentially replace human trainers. However, applying LLMs as RL trainers is challengin"}, {"rep_rank": 2, "rep_sim": 0.9083362817764282, "chunk_id": "chunk_00270824", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 270824, "text_preview": "An Investigation of Offline Reinforcement Learning in Factorisable Action Spaces Expanding reinforcement learning (RL) to offline domains generates promising prospects, particularly in sectors where data collection poses substantial challenges or risks. Pivotal to the success of transferring RL offline is mitigating overestimation bias in value estimates for state-action pairs absent from data."}, {"rep_rank": 3, "rep_sim": 0.907051146030426, "chunk_id": "chunk_02422182", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 2422182, "text_preview": "Simple Agent, Complex Environment: Efficient Reinforcement Learning with Agent States We design a simple reinforcement learning (RL) agent that implements an optimistic version of $Q$-learning and establish through regret analysis that this agent can operate with some level of competence in any environment. While we leverage concepts from the literature on provably efficient RL, we consider a ge"}]}, {"cluster_id": 28, "size": 33148, "avg_prob": 1.0, "supergroup_id": 2, "supergroup_top_terms": "cs based model data models learning performance time network training", "group_id": 1, "group_top_terms": "cs based data model models learning performance deep lg network", "top_terms": "3d object scene cs cv pose point based estimation camera method segmentation detection visual tracking lidar dataset real images perception", "contrast_terms": "pose point camera lidar slam localization cloud depth point_cloud pose_estimation clouds map", "cluster_title": "point cloud / pose estimation / 3d", "cohesion_mean_sim": 0.8441832065582275, "cohesion_p10_sim": 0.8092989325523376, "reps": [{"rep_rank": 1, "rep_sim": 0.898808479309082, "chunk_id": "chunk_02879565", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 2879565, "text_preview": "Geometric Consistency for Self-Supervised End-to-End Visual Odometry With the success of deep learning based approaches in tackling challenging problems in computer vision, a wide range of deep architectures have recently been proposed for the task of visual odometry (VO) estimation. Most of these proposed solutions rely on supervision, which requires the acquisition of precise ground-truth camer"}, {"rep_rank": 2, "rep_sim": 0.8963054418563843, "chunk_id": "chunk_02284944", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 2284944, "text_preview": "Exploring the Capabilities and Limits of 3D Monocular Object Detection -- A Study on Simulation and Real World Data 3D object detection based on monocular camera data is a key enabler for autonomous driving. The task however, is ill-posed due to lack of depth information in 2D images. Recent deep learning methods show promising results to recover depth information from single images by learning"}, {"rep_rank": 3, "rep_sim": 0.8935024738311768, "chunk_id": "chunk_02605200", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 2605200, "text_preview": "Dual Quadrics from Object Detection BoundingBoxes as Landmark Representations in SLAM Research in Simultaneous Localization And Mapping (SLAM) is increasingly moving towards richer world representations involving objects and high level features that enable a semantic model of the world for robots, potentially leading to a more meaningful set of robot-world interactions. Many of these advances ar"}]}, {"cluster_id": 29, "size": 33043, "avg_prob": 1.0, "supergroup_id": null, "supergroup_top_terms": "ph cond mat astro phase cond_mat field mass quantum states", "group_id": 8, "group_top_terms": "cond mat cond_mat quantum field phase spin ph state states", "top_terms": "quantum quant spin dynamics cond mat system time decoherence qubit two systems states state bath coupling noise ph entanglement non", "contrast_terms": "decoherence bath coupled tunneling markovian regime environment dissipation dissipative control memory evolution", "cluster_title": "quantum / quant / spin", "cohesion_mean_sim": 0.8499798774719238, "cohesion_p10_sim": 0.8210326433181763, "reps": [{"rep_rank": 1, "rep_sim": 0.8908870816230774, "chunk_id": "chunk_01546928", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 1546928, "text_preview": "Consistent perturbative treatment of the subohmic spin-boson model yielding arbitrarily small $T_2/T_1$ decoherence time ratios We present a perturbative treatment of the subohmic spin-boson model which remedies a crucial flaw in previous treatments. The problem is traced back to the incorrect application of a Markov type approximation to specific terms in the temporal evolution of the reduced d"}, {"rep_rank": 2, "rep_sim": 0.8890396952629089, "chunk_id": "chunk_02784325", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 2784325, "text_preview": "On the dynamics of initially correlated open quantum systems: theory and applications We show that the dynamics of any open quantum system that is initially correlated with its environment can be described by a set of (or less) completely positive maps, where d is the dimension of the system. Only one such map is required for the special case of no initial correlations. The same maps describe th"}, {"rep_rank": 3, "rep_sim": 0.8862806558609009, "chunk_id": "chunk_02733868", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 2733868, "text_preview": "A Unified Stochastic Formulation of Dissipative Quantum Dynamics. II. Beyond Linear Response of Spin Baths We use the \"generalized hierarchical equation of motion\" proposed in Paper I to study decoherence in a system coupled to a spin bath. The present methodology allows a systematic incorporation of higher order anharmonic effects of the bath in dynamical calculations. We investigate the leadin"}]}, {"cluster_id": 30, "size": 32974, "avg_prob": 1.0, "supergroup_id": 1, "supergroup_top_terms": "math mathbb space prove theory cats_math equation field group hep", "group_id": 3, "group_top_terms": "field hep theory quantum space th gauge gravity hep_th ph", "top_terms": "hep gauge th theory hep_th theories algebra quantum conformal field symmetry math model group su yang space action mills lattice", "contrast_terms": "group lattice lie algebras virasoro mathfrak representation yang_mills abelian mathcal field_theories fermionic", "cluster_title": "hep th / yang mills / field theories", "cohesion_mean_sim": 0.8508758544921875, "cohesion_p10_sim": 0.8255847096443176, "reps": [{"rep_rank": 1, "rep_sim": 0.8854745626449585, "chunk_id": "chunk_01092699", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 1092699, "text_preview": "Self-Dual Yang-Mills and the Hamiltonian Structures of Integrable Systems In recent years it has been shown that many, and possibly all, integrable systems can be obtained by dimensional reduction of self-dual Yang-Mills. I show how the integrable systems obtained this way naturally inherit bihamiltonian structure. I also present a simple, gauge-invariant formulation of the self-dual Yang-Mills"}, {"rep_rank": 2, "rep_sim": 0.885376513004303, "chunk_id": "chunk_01102856", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 1102856, "text_preview": "Form factors of SU(N) invariant Thirring model We obtain a new integral formula for solutions of the rational quantum Knizhnik-Zamolodchikov equation associated with Lie algebra sl_{N} at level zero. Our formula contains the integral representation of form factors of SU(N) invariant Thirring model constructed by F. Smirnov. We write down recurrence relations arising from the construction of the f"}, {"rep_rank": 3, "rep_sim": 0.8816784620285034, "chunk_id": "chunk_02583164", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 2583164, "text_preview": "Dimensional reduction of higher-point conformal blocks Recently, with the help of Parisi-Sourlas supersymmetry an intriguing relation was found expressing the four-point scalar conformal block of a (d-2)-dimensional CFT in terms of a five-term linear combination of blocks of a d-dimensional CFT, with constant coefficients. We extend this dimensional reduction relation to all higher-point scalar c"}]}, {"cluster_id": 31, "size": 32734, "avg_prob": 1.0, "supergroup_id": null, "supergroup_top_terms": "ph cond mat astro phase cond_mat field mass quantum states", "group_id": 2, "group_top_terms": "light optical phase physics beam cats_physics frequency high laser optics", "top_terms": "quantum photon cavity optical quant atom single states photons ph atoms frequency state measurement quant_ph laser entangled phase coherent light", "contrast_terms": "quant atom states photons atoms state quant_ph entangled cats_quant single_photon coherence entanglement", "cluster_title": "quant ph / cats quant / single photon", "cohesion_mean_sim": 0.8404443264007568, "cohesion_p10_sim": 0.8111968636512756, "reps": [{"rep_rank": 1, "rep_sim": 0.8891664743423462, "chunk_id": "chunk_01949277", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 1949277, "text_preview": "On-demand generation of entanglement of atomic qubits via optical interferometry The problem of on-demand generation of entanglement between single-atom qubits via a common photonic channel is examined within the framework of optical interferometry. As expected, for a Mach-Zehnder interferometer with coherent laser beam as input, a high-finesse optical cavity is required to overcome sensitivity"}, {"rep_rank": 2, "rep_sim": 0.882891058921814, "chunk_id": "chunk_01752704", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 1752704, "text_preview": "Full two-photon downconversion of just a single photon We demonstrate, both numerically and analytically, that it is possible to generate two photons from one and only one photon. We characterize the output two photon field and make our calculations close to reality by including losses. Our proposal relies on real or artificial three-level atoms with a cyclic transition strongly coupled to a one-"}, {"rep_rank": 3, "rep_sim": 0.8806918263435364, "chunk_id": "chunk_01265559", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 1265559, "text_preview": "Optimizing the quantum interference between single photons and local oscillator with photon correlations The quantum interference between a coherent state and a single photon is an important tool in continuous variable optical quantum technologies to characterize and engineer non-Gaussian quantum states. Semiconductor quantum dots, which have recently emerged as a key platform for efficient singl"}]}, {"cluster_id": 32, "size": 32274, "avg_prob": 1.0, "supergroup_id": 2, "supergroup_top_terms": "cs based model data models learning performance time network training", "group_id": 1, "group_top_terms": "cs based data model models learning performance deep lg network", "top_terms": "stat data bayesian estimation models likelihood gaussian regression model st inference prior posterior ml cats_stat distribution random selection algorithm estimator", "contrast_terms": "prior posterior covariance probability stat_th math_st sample bounds th st_stat bayes nonparametric", "cluster_title": "cats stat / stat th / math st", "cohesion_mean_sim": 0.8410557508468628, "cohesion_p10_sim": 0.8104749917984009, "reps": [{"rep_rank": 1, "rep_sim": 0.8833947777748108, "chunk_id": "chunk_00681484", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 681484, "text_preview": "Concentration of discrepancy-based approximate Bayesian computation via Rademacher complexity There has been increasing interest on summary-free solutions for approximate Bayesian computation (ABC) which replace distances among summaries with discrepancies between the empirical distributions of the observed data and the synthetic samples generated under the proposed parameter values. The success"}, {"rep_rank": 2, "rep_sim": 0.8799316883087158, "chunk_id": "chunk_01143735", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 1143735, "text_preview": "On submodularity of the expected information gain We consider finite-dimensional linear Gaussian Bayesian inverse problems with uncorrelated sensor measurements. In this setting, it is known that the expected information gain, quantified by the expected Kullback-Leibler divergence from the posterior measure to the prior measure, is submodular. We present a simple alternative proof of this fact ta"}, {"rep_rank": 3, "rep_sim": 0.8795315623283386, "chunk_id": "chunk_02716866", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 2716866, "text_preview": "Fast Mixing Markov Chains for Strongly Rayleigh Measures, DPPs, and Constrained Sampling We study probability measures induced by set functions with constraints. Such measures arise in a variety of real-world settings, where prior knowledge, resource limitations, or other pragmatic considerations impose constraints. We consider the task of rapidly sampling from such constrained measures, and dev"}]}, {"cluster_id": 33, "size": 32104, "avg_prob": 1.0, "supergroup_id": 2, "supergroup_top_terms": "cs based model data models learning performance time network training", "group_id": 1, "group_top_terms": "cs based data model models learning performance deep lg network", "top_terms": "learning data cs training performance model lg datasets models classification label federated based methods ml algorithms machine algorithm propose method", "contrast_terms": "label fairness unlabeled fl federated_learning adaptation labels set classifier federated domain source", "cluster_title": "federated learning / learning / data", "cohesion_mean_sim": 0.833530604839325, "cohesion_p10_sim": 0.8036016225814819, "reps": [{"rep_rank": 1, "rep_sim": 0.8847450017929077, "chunk_id": "chunk_01448323", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 1448323, "text_preview": "Robustness of Probabilistic Models to Low-Quality Data: A Multi-Perspective Analysis A systematic, comparative investigation into the effects of low-quality data reveals a stark spectrum of robustness across modern probabilistic models. We find that autoregressive language models, from token prediction to sequence-to-sequence tasks, are remarkably resilient (for GPT-2, test NLL increases modestly"}, {"rep_rank": 2, "rep_sim": 0.8799107670783997, "chunk_id": "chunk_01723536", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 1723536, "text_preview": "Declarative Machine Learning - A Classification of Basic Properties and Types Declarative machine learning (ML) aims at the high-level specification of ML tasks or algorithms, and automatic generation of optimized execution plans from these specifications. The fundamental goal is to simplify the usage and/or development of ML algorithms, which is especially important in the context of large-scal"}, {"rep_rank": 3, "rep_sim": 0.876634418964386, "chunk_id": "chunk_02523064", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 2523064, "text_preview": "Minimax Lower Bounds for Transfer Learning with Linear and One-hidden Layer Neural Networks Transfer learning has emerged as a powerful technique for improving the performance of machine learning models on new domains where labeled training data may be scarce. In this approach a model trained for a source task, where plenty of labeled training data is available, is used as a starting point for t"}]}, {"cluster_id": 34, "size": 31787, "avg_prob": 1.0, "supergroup_id": 2, "supergroup_top_terms": "cs based model data models learning performance time network training", "group_id": 1, "group_top_terms": "cs based data model models learning performance deep lg network", "top_terms": "privacy attacks data attack security cs cr cs_cr learning malicious based information detection secure private cats_cs_cr against adversarial cr_year protocol", "contrast_terms": "privacy attacks attack security cr cs_cr malicious secure private cats_cs_cr against cr_year", "cluster_title": "cs cr / cats cs cr / cr year", "cohesion_mean_sim": 0.8114076256752014, "cohesion_p10_sim": 0.7634509801864624, "reps": [{"rep_rank": 1, "rep_sim": 0.866529107093811, "chunk_id": "chunk_00048062", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 48062, "text_preview": "Exploring Privacy and Fairness Risks in Sharing Diffusion Models: An Adversarial Perspective Diffusion models have recently gained significant attention in both academia and industry due to their impressive generative performance in terms of both sampling quality and distribution coverage. Accordingly, proposals are made for sharing pre-trained diffusion models across different organizations, as"}, {"rep_rank": 2, "rep_sim": 0.8631300926208496, "chunk_id": "chunk_00168279", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 168279, "text_preview": "Attesting Distributional Properties of Training Data for Machine Learning The success of machine learning (ML) has been accompanied by increased concerns about its trustworthiness. Several jurisdictions are preparing ML regulatory frameworks. One such concern is ensuring that model training data has desirable distributional properties for certain sensitive attributes. For example, draft regulati"}, {"rep_rank": 3, "rep_sim": 0.8625438213348389, "chunk_id": "chunk_00149572", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 149572, "text_preview": "Mostree : Malicious Secure Private Decision Tree Evaluation with Sublinear Communication A private decision tree evaluation (PDTE) protocol allows a feature vector owner (FO) to classify its data using a tree model from a model owner (MO) and only reveals an inference result to the FO. This paper proposes Mostree, a PDTE protocol secure in the presence of malicious parties with sublinear communi"}]}, {"cluster_id": 35, "size": 31733, "avg_prob": 1.0, "supergroup_id": null, "supergroup_top_terms": "ph cond mat astro phase cond_mat field mass quantum states", "group_id": 5, "group_top_terms": "hep ph quark ex mass energy hep_ph nu boson cats_hep", "top_terms": "hep quark qcd pi hep_ph nucleon ph gluon corrections meson scattering pion gamma chiral parton leading loop order form cats_hep", "contrast_terms": "leading contributions amplitudes functions form_factors sum contribution next nlo vector axial terms", "cluster_title": "hep ph / cats hep / form factors", "cohesion_mean_sim": 0.8488638401031494, "cohesion_p10_sim": 0.8245893120765686, "reps": [{"rep_rank": 1, "rep_sim": 0.8927964568138123, "chunk_id": "chunk_01062297", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 1062297, "text_preview": "Numerical solution of Q^2 evolution equation for the transversity distribution Delta_T q We investigate numerical solution of the Dokshitzer-Gribov-Lipatov-Altarelli- Parisi (DGLAP) Q^2 evolution equation for the transversity distribution Delta_T q or the structure function h_1. The leading-order (LO) and next-to- leading-order (NLO) evolution equations are studied. The renormalization scheme is"}, {"rep_rank": 2, "rep_sim": 0.8874338269233704, "chunk_id": "chunk_02530904", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 2530904, "text_preview": "Color Glass Condensate at next-to-leading order meets HERA data We perform the first dipole picture fit to HERA inclusive cross section data using the full next-to-leading order (NLO) impact factor combined with an improved Balitsky-Kovchegov evolution including the dominant effects beyond leading logarithmic accuracy at low $x$. We find that three different formulations of the evolution equation"}, {"rep_rank": 3, "rep_sim": 0.8867664337158203, "chunk_id": "chunk_02012857", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 2012857, "text_preview": "Form-factors and current correlators: chiral couplings L_10(mu) and C_87(mu) at NLO in 1/N(C) Using the resonance chiral theory Lagrangian, we perform a calculation of the vector and axial-vector two-point functions at the next-to-leading order (NLO) in the 1/N(C) expansion. We have analyzed these correlators within the single-resonance approximation and have also investigated the corrections in"}]}, {"cluster_id": 36, "size": 31582, "avg_prob": 1.0, "supergroup_id": null, "supergroup_top_terms": "ph cond mat astro phase cond_mat field mass quantum states", "group_id": 8, "group_top_terms": "cond mat cond_mat quantum field phase spin ph state states", "top_terms": "quantum entanglement states quant qubit state ph quant_ph channel measurement entangled cats_quant information classical cats_quant_ph bell channels two quant_ph_year protocol", "contrast_terms": "channel entangled bell channels protocol communication pure monogamy bound protocols operations measure", "cluster_title": "quant ph / cats quant / cats quant ph", "cohesion_mean_sim": 0.8497196435928345, "cohesion_p10_sim": 0.819651186466217, "reps": [{"rep_rank": 1, "rep_sim": 0.8917059302330017, "chunk_id": "chunk_01566593", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 1566593, "text_preview": "Quantum Subsystems: Exploring the Complementarity of Quantum Privacy and Error Correction This paper addresses and expands on the contents of the recent Letter [Phys. Rev. Lett. 111, 030502 (2013)] discussing private quantum subsystems. Here we prove several previously presented results, including a condition for a given random unitary channel to not have a private subspace (although this does n"}, {"rep_rank": 2, "rep_sim": 0.8909162282943726, "chunk_id": "chunk_01500819", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 1500819, "text_preview": "Discriminating Strength: a bona fide measure of non-classical correlations A new measure of non-classical correlations is introduced and characterized. It tests the ability of using a state {\\rho} of a composite system AB as a probe for a quantum illumination task [e.g. see S. Lloyd, Science 321, 1463 (2008)], in which one is asked to remotely discriminate among the two following scenarios: i) e"}, {"rep_rank": 3, "rep_sim": 0.8900136947631836, "chunk_id": "chunk_01583626", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 1583626, "text_preview": "Two-Qubit Rational-Valued Entanglement-Boundary Probability Densities and a Fisher Information Equality Conjecture We consider a pair of one-parameter (alpha) families of generalized two-qubit determinantal Hilbert-Schmidt probability distributions, p_{alpha}(|rho^{PT}|) and q_{alpha}(|rho|), where rho is a 4 x 4 density matrix, rho^{PT}, its partial transpose, with |rho^{PT}| \\in [-1/16,1/256]"}]}, {"cluster_id": 37, "size": 30290, "avg_prob": 1.0, "supergroup_id": 2, "supergroup_top_terms": "cs based model data models learning performance time network training", "group_id": 1, "group_top_terms": "cs based data model models learning performance deep lg network", "top_terms": "segmentation image images medical learning brain mri deep cv data imaging ct clinical cs model based iv models training performance", "contrast_terms": "mri ct iv lesion anatomical registration eess_iv medical_image ultrasound deep_learning chest pathology", "cluster_title": "eess iv / medical image / deep learning", "cohesion_mean_sim": 0.8446510434150696, "cohesion_p10_sim": 0.8098033666610718, "reps": [{"rep_rank": 1, "rep_sim": 0.8968228697776794, "chunk_id": "chunk_01459709", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 1459709, "text_preview": "Adaptation of Foundation Models for Medical Image Analysis: Strategies, Challenges, and Future Directions Foundation models (FMs) have emerged as a transformative paradigm in medical image analysis, offering the potential to provide generalizable, task-agnostic solutions across a wide range of clinical tasks and imaging modalities. Their capacity to learn transferable representations from large-s"}, {"rep_rank": 2, "rep_sim": 0.8936816453933716, "chunk_id": "chunk_00694541", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 694541, "text_preview": "Fighting the scanner effect in brain MRI segmentation with a progressive level-of-detail network trained on multi-site data Many clinical and research studies of the human brain require an accurate structural MRI segmentation. While traditional atlas-based methods can be applied to volumes from any acquisition site, recent deep learning algorithms ensure very high accuracy only when tested on da"}, {"rep_rank": 3, "rep_sim": 0.8932092189788818, "chunk_id": "chunk_00334267", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 334267, "text_preview": "Swin SMT: Global Sequential Modeling in 3D Medical Image Segmentation Recent advances in Vision Transformers (ViTs) have significantly enhanced medical image segmentation by facilitating the learning of global relationships. However, these methods face a notable challenge in capturing diverse local and global long-range sequential feature representations, particularly evident in whole-body CT (WB"}]}, {"cluster_id": 38, "size": 29694, "avg_prob": 1.0, "supergroup_id": null, "supergroup_top_terms": "ph cond mat astro phase cond_mat field mass quantum states", "group_id": 2, "group_top_terms": "light optical phase physics beam cats_physics frequency high laser optics", "top_terms": "optical photonic optics physics light dielectric frequency physics_optics modes high nonlinear silicon plasmon laser modulation phase cats_physics_optics plasmonic absorption optics_year", "contrast_terms": "dielectric plasmon modulation plasmonic absorption surface band graphene waveguide thz wavelength resonant", "cluster_title": "physics optics / cats physics optics / optics year", "cohesion_mean_sim": 0.8311084508895874, "cohesion_p10_sim": 0.8045478463172913, "reps": [{"rep_rank": 1, "rep_sim": 0.89434415102005, "chunk_id": "chunk_00120902", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 120902, "text_preview": "Resonant Anti-Reflection Metasurface for Infrared Transmission Optics A fundamental capability for any transmissive optical component is anti-reflection, yet this capability is challenging to achieve in a cost-efficient manner over longer infrared wavelengths. We demonstrate that Mie resonant nanophotonic structures enhance transmission in Silicon, allowing it to function as an effective optical"}, {"rep_rank": 2, "rep_sim": 0.8811851143836975, "chunk_id": "chunk_00052801", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 52801, "text_preview": "Stimulated Forward Brillouin Scattering in Subwavelength Silicon Membranes Brillouin scattering enables efficient and coherent conversion between optical photons and gigahertz-frequency phonons. Integrated circuits that harness this nonlinear interaction have immense potential for signal processing, quantum transduction, and sensing applications. However, achieving strong overlap and tight confin"}, {"rep_rank": 3, "rep_sim": 0.8733639717102051, "chunk_id": "chunk_01142499", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 1142499, "text_preview": "Generalized Epsilon-Near-Zero Polaritons on Uniaxial Metasurfaces Epsilon-near-zero (ENZ) thin films facilitate strong light-matter interactions with a widespread impact in nonlinear, quantum and thermal photonics. Here, we extend the scope of thin film ENZ modes by elucidating the generalized polaritonic modes emerging from anisotropy and near-zero permittivity. Through a theoretical investigati"}]}, {"cluster_id": 39, "size": 29577, "avg_prob": 1.0, "supergroup_id": 2, "supergroup_top_terms": "cs based model data models learning performance time network training", "group_id": 7, "group_top_terms": "cs problem time based model network optimal algorithm algorithms math", "top_terms": "algorithm graphs log problem time graph complexity algorithms cs tree polynomial problems approximation bound epsilon ds bounds lower set shortest", "contrast_terms": "polynomial shortest cs_ds known vertices np delta minimum tilde given hard any", "cluster_title": "cs ds / algorithm / graphs", "cohesion_mean_sim": 0.8418592810630798, "cohesion_p10_sim": 0.8059070706367493, "reps": [{"rep_rank": 1, "rep_sim": 0.8971544504165649, "chunk_id": "chunk_00258542", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 258542, "text_preview": "Beyond hypergraph acyclicity: limits of tractability for pseudo-Boolean optimization In this paper, we study the problem of minimizing a polynomial function with literals over all binary points, often referred to as pseudo-Boolean optimization. We investigate the fundamental limits of computation for this problem by providing new necessary conditions and sufficient conditions for tractability. O"}, {"rep_rank": 2, "rep_sim": 0.8943074345588684, "chunk_id": "chunk_02395487", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 2395487, "text_preview": "When Maximum Stable Set can be solved in FPT time Maximum Independent Set (MIS for short) is in general graphs the paradigmatic $W[1]$-hard problem. In stark contrast, polynomial-time algorithms are known when the inputs are restricted to structured graph classes such as, for instance, perfect graphs (which includes bipartite graphs, chordal graphs, co-graphs, etc.) or claw-free graphs. In this p"}, {"rep_rank": 3, "rep_sim": 0.8914217948913574, "chunk_id": "chunk_02661201", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 2661201, "text_preview": "Levelable Sets and the Algebraic Structure of Parameterizations Asking which sets are fixed-parameter tractable for a given parameterization constitutes much of the current research in parameterized complexity theory. This approach faces some of the core difficulties in complexity theory. By focussing instead on the parameterizations that make a given set fixed-parameter tractable, we circumvent"}]}, {"cluster_id": 40, "size": 29434, "avg_prob": 1.0, "supergroup_id": 1, "supergroup_top_terms": "math mathbb space prove theory cats_math equation field group hep", "group_id": 4, "group_top_terms": "math mathbb cats_math prove group groups space spaces mathcal algebra", "top_terms": "math manifolds dg manifold surfaces space riemannian math_dg invariant spaces geometry curvature lie mathbb groups group bundles metric curves einstein", "contrast_terms": "geometry flat structures examples sphere hamiltonian integrable lagrangian almost differential connections poisson", "cluster_title": "math dg / math / manifolds", "cohesion_mean_sim": 0.8349214196205139, "cohesion_p10_sim": 0.8011215329170227, "reps": [{"rep_rank": 1, "rep_sim": 0.8872374296188354, "chunk_id": "chunk_02297238", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 2297238, "text_preview": "Geodesic convexity and closed nilpotent similarity manifolds Some nilpotent Lie groups possess a transformation group analogous to the similarity group acting on the Euclidean space. We call such a pair a nilpotent similarity structure. It is notably the case for all Carnot groups and their dilatations. We generalize a theorem of Fried: closed manifolds with a nilpotent similarity structure are e"}, {"rep_rank": 2, "rep_sim": 0.8833130598068237, "chunk_id": "chunk_00925965", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 925965, "text_preview": "Selfdual spaces with complex structures, Einstein-Weyl geometry and geodesics We study the Jones and Tod correspondence between selfdual conformal 4-manifolds with a conformal vector field and abelian monopoles on Einstein-Weyl 3-manifolds, and prove that invariant complex structures correspond to shear-free geodesic congruences. Such congruences exist in abundance and so provide a tool for cons"}, {"rep_rank": 3, "rep_sim": 0.8791674375534058, "chunk_id": "chunk_02215563", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 2215563, "text_preview": "A classification of 5-dimensional manifolds, souls of codimension two and non-diffeomorphic pairs Let T(\\gamma) be the total space of the canonical line bundle \\gamma over CP^1 and r an integer which is greater than one and coprime to six. We prove that L_r^3\\times T(\\gamma) admits an infinite sequence of metrics of nonnegative sectional curvature with pairwise non-homeomorphic souls, where L_r^"}]}, {"cluster_id": 41, "size": 29288, "avg_prob": 1.0, "supergroup_id": null, "supergroup_top_terms": "ph cond mat astro phase cond_mat field mass quantum states", "group_id": 6, "group_top_terms": "astro ph astro_ph mass star emission observations 10 formation galaxy", "top_terms": "ray gamma emission gamma_ray radio astro energy grbs ph jet grb cosmic rays sources observations galactic astro_ph 10 bursts high", "contrast_terms": "gamma gamma_ray grbs grb rays bursts synchrotron tev burst kev detected relativistic", "cluster_title": "gamma ray / astro ph / ray", "cohesion_mean_sim": 0.8367822766304016, "cohesion_p10_sim": 0.8041794300079346, "reps": [{"rep_rank": 1, "rep_sim": 0.8931575417518616, "chunk_id": "chunk_02138197", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 2138197, "text_preview": "Insights Into the High-Energy Gamma-ray Emission of Markarian 501 from Extensive Multifrequency Observations in the Fermi Era We report on the gamma-ray activity of the blazar Mrk 501 during the first 480 days of Fermi operation. We find that the average LAT gamma-ray spectrum of Mrk 501 can be well described by a single power-law function with a photon index of 1.78 +/- 0.03. While we observe r"}, {"rep_rank": 2, "rep_sim": 0.8803039193153381, "chunk_id": "chunk_00876742", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 876742, "text_preview": "The X-ray Spectrum of Soft Gamma Repeater 1806-20 Soft Gamma Repeaters (SGRs) are a class of rare, high-energy galactic transients that have episodes of short (~0.1 sec), soft (~30 keV), intense (~100 Crab), gamma-ray bursts. We report an analysis of the x-ray emission from 95 SGR1806-20 events observed by the International Cometary Explorer. The spectral shape remains remarkably constant for bur"}, {"rep_rank": 3, "rep_sim": 0.8801961541175842, "chunk_id": "chunk_01899658", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 1899658, "text_preview": "Direct Evidence for Hadronic Cosmic-Ray Acceleration in the Supernova Renmant IC 443 The Supernova Remnant (SNR) IC 443 is an intermediate-age remnant well known for its radio, optical, X-ray and gamma-ray energy emissions. In this Letter we study the gamma-ray emission above 100 MeV from IC 443 as obtained by the AGILE satellite. A distinct pattern of diffuse emission in the energy range 100 Me"}]}, {"cluster_id": 42, "size": 28909, "avg_prob": 1.0, "supergroup_id": 1, "supergroup_top_terms": "math mathbb space prove theory cats_math equation field group hep", "group_id": 4, "group_top_terms": "math mathbb cats_math prove group groups space spaces mathcal algebra", "top_terms": "math curvature manifolds dg riemannian manifold boundary math_dg mathbb ricci metric hyperbolic smooth compact prove ahler surfaces space cats_math_dg closed", "contrast_terms": "flow holomorphic submanifolds steklov minimal ricci_curvature riemannian_manifolds math_dg_math constant mean math_cv cr", "cluster_title": "math dg / cats math dg / ricci curvature", "cohesion_mean_sim": 0.8425090312957764, "cohesion_p10_sim": 0.8181723952293396, "reps": [{"rep_rank": 1, "rep_sim": 0.8812835216522217, "chunk_id": "chunk_01067277", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 1067277, "text_preview": "Differential Operators on Conic Manifolds: Maximal Regularity and Parabolic Equations We study an elliptic differential operator A on a manifold with conic points. Assuming A to be defined on the smooth functions supported away from the singularities, we first address the question of possible closed extensions of A to L^p Sobolev spaces and then explain how additional ellipticity conditions ensu"}, {"rep_rank": 2, "rep_sim": 0.8765287399291992, "chunk_id": "chunk_00392721", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 392721, "text_preview": "Higher regularity for singular K\\\"ahler-Einstein metrics We study singular K\\\"ahler-Einstein metrics that are obtained as non-collapsed limits of polarized K\\\"ahler-Einstein manifolds. Our main result is that if the metric tangent cone at a point is locally isomorphic to the germ of the singularity, then the metric converges to the metric on its tangent cone at a polynomial rate on the level of K"}, {"rep_rank": 3, "rep_sim": 0.8763735294342041, "chunk_id": "chunk_01297903", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 1297903, "text_preview": "An Invitation to Higher-Order Riemannian Optimization: Optimal and Implementable Methods This paper presents the first optimal-rate $p$-th order methods with $p\\geq 1$ for finding first and second-order stationary points of non-convex smooth objective functions over Riemannian manifolds. In contrast to the geodesically convex setting, we definitively establish that the optimal oracle complexity o"}]}, {"cluster_id": 43, "size": 28897, "avg_prob": 1.0, "supergroup_id": 1, "supergroup_top_terms": "math mathbb space prove theory cats_math equation field group hep", "group_id": 3, "group_top_terms": "field hep theory quantum space th gauge gravity hep_th ph", "top_terms": "gr qc gravity gravitational relativity gr_qc field einstein spacetime cats_gr general theory equations tensor space newtonian metric cats_gr_qc qc_year general_relativity", "contrast_terms": "tensor newtonian general_relativity id_gr torsion id_gr_qc symmetric weyl field_equations modified waves curvature", "cluster_title": "gr qc / cats gr / cats gr qc", "cohesion_mean_sim": 0.8264285326004028, "cohesion_p10_sim": 0.7925220727920532, "reps": [{"rep_rank": 1, "rep_sim": 0.8831462264060974, "chunk_id": "chunk_00757072", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 757072, "text_preview": "Test particles behavior in the framework of a lagrangian geometric theory with propagating torsion Working in the lagrangian framework, we develop a geometric theory in vacuum with propagating torsion; the antisymmetric and trace parts of the torsion tensor, considered as derived from local potential fields, are taken and, using the minimal action principle, their field equations are calculated."}, {"rep_rank": 2, "rep_sim": 0.8802139759063721, "chunk_id": "chunk_02773299", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 2773299, "text_preview": "A local quantum Mach principle and the metricity of spacetime We revisit the old question of what distinguishes the formulation of spacetime geometry in terms of a Lorentzian metric physically from more general geometric structures. Our approach to this question is operational and leads us to also revisit the notion of local inertial frames, arising in operational formulations of the equivalence"}, {"rep_rank": 3, "rep_sim": 0.8779038786888123, "chunk_id": "chunk_02144647", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 2144647, "text_preview": "The Energy-Momentum Tensor in General Relativity and in Alternative Theories of Gravitation, and the Gravitational vs. Inertial Mass We establish a general relation between the canonical energy-momentum tensor of Lagrangian dynamics and the tensor that acts as the source of the gravitational field in Einstein's equations, and we show that there is a discrepancy between these tensors when there a"}]}, {"cluster_id": 44, "size": 28850, "avg_prob": 1.0, "supergroup_id": null, "supergroup_top_terms": "ph cond mat astro phase cond_mat field mass quantum states", "group_id": 6, "group_top_terms": "astro ph astro_ph mass star emission observations 10 formation galaxy", "top_terms": "magnetic solar field plasma ph flare astro coronal shock turbulence dynamo flux sr wind magnetic_field mhd waves reconnection heating velocity", "contrast_terms": "plasma flare coronal turbulence dynamo wind magnetic_field mhd reconnection heating helicity solar_wind", "cluster_title": "magnetic field / solar wind / magnetic", "cohesion_mean_sim": 0.8393823504447937, "cohesion_p10_sim": 0.8033954501152039, "reps": [{"rep_rank": 1, "rep_sim": 0.8872379660606384, "chunk_id": "chunk_00838741", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 838741, "text_preview": "Magnetic flux tubes evolving in sunspots. A model for the penumbral finestructure and the Evershed effect Assuming that the interchange convection of magnetic flux elements is the physical cause for the existence of filamentary penumbrae in sunspots, we investigate the behavior of an individual fibril embedded in the deep penumbra. The fibril is approximated by a thin magnetic flux tube which ev"}, {"rep_rank": 2, "rep_sim": 0.8848417401313782, "chunk_id": "chunk_01925936", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 1925936, "text_preview": "Numerical simulation of the internal plasma dynamics of post-flare loops We integrate the MHD ideal equations of a slender flux tube to simulate the internal plasma dynamics of coronal post-flare loops. We study the onset and evolution of the internal plasma instability to compare with observations and to gain insight into physical processes and characteristic parameters associated with flaring e"}, {"rep_rank": 3, "rep_sim": 0.8774558901786804, "chunk_id": "chunk_02193452", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 2193452, "text_preview": "The Sun's meridional circulation and interior magnetic field To date, no self-consistent numerical simulation of the solar interior has succeeded in reproducing the observed thinness of the solar tachocline, and the persistence of uniform rotation beneath it. Although it is known that the uniform rotation can be explained by the presence of a global-scale confined magnetic field, numerical simula"}]}, {"cluster_id": 45, "size": 28523, "avg_prob": 1.0, "supergroup_id": null, "supergroup_top_terms": "ph cond mat astro phase cond_mat field mass quantum states", "group_id": 5, "group_top_terms": "hep ph quark ex mass energy hep_ph nu boson cats_hep", "top_terms": "qcd hep quark gauge lattice lat chiral phase temperature hep_lat th theory mass ph finite su field cats_hep symmetry potential", "contrast_terms": "phase temperature hep_lat finite field transition fermion confinement condensate cats_hep_lat density lat_year", "cluster_title": "hep lat / cats hep / cats hep lat", "cohesion_mean_sim": 0.8497134447097778, "cohesion_p10_sim": 0.8226473331451416, "reps": [{"rep_rank": 1, "rep_sim": 0.8959341645240784, "chunk_id": "chunk_01057199", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 1057199, "text_preview": "Two flavor chiral phase transition from nonperturbative flow equations We employ nonperturbative flow equations to compute the equation of state for two flavor QCD within an effective quark meson model. This yields the temperature and quark mass dependence of quantities like the chiral condensate or the pion mass. A precision estimate of the universal critical equation of state for the three-dime"}, {"rep_rank": 2, "rep_sim": 0.8905851244926453, "chunk_id": "chunk_02194340", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 2194340, "text_preview": "Gauge/string duality applied to heavy ion collisions: Limitations, insights and prospects Over the last decade a fruitful interplay has developed between analyses of strongly coupled non-abelian plasmas via the gauge/string duality and the phenomenology of the quark-gluon plasma created in heavy ion collisions. I review the reasons why the gauge/string duality is not a precision tool for QCD phy"}, {"rep_rank": 3, "rep_sim": 0.8862768411636353, "chunk_id": "chunk_01019083", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 1019083, "text_preview": "Gauge-invariant quark and gluon fields in QCD: dynamics, topology, and the Gribov ambiguity We review the implementation, in a temporal-gauge formulation of QCD, of the non-Abelian Gauss's law and the construction of gauge-invariant gauge and matter fields. We then express the QCD Hamiltonian in terms of these gauge-invariant operator-valued fields, and discuss the relation of this Hamiltonian a"}]}, {"cluster_id": 46, "size": 28456, "avg_prob": 1.0, "supergroup_id": 2, "supergroup_top_terms": "cs based model data models learning performance time network training", "group_id": 1, "group_top_terms": "cs based data model models learning performance deep lg network", "top_terms": "image images 3d diffusion generation video generative cs quality cv model models rendering view scene based methods style novel motion", "contrast_terms": "generation generative rendering style synthesis text shape geometry videos latent generated radiance", "cluster_title": "image / images / 3d", "cohesion_mean_sim": 0.8498565554618835, "cohesion_p10_sim": 0.8112688064575195, "reps": [{"rep_rank": 1, "rep_sim": 0.8957049250602722, "chunk_id": "chunk_01442391", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 1442391, "text_preview": "Sphinx: Efficiently Serving Novel View Synthesis using Regression-Guided Selective Refinement Novel View Synthesis (NVS) is the task of generating new images of a scene from viewpoints that were not part of the original input. Diffusion-based NVS can generate high-quality, temporally consistent images, however, remains computationally prohibitive. Conversely, regression-based NVS offers suboptima"}, {"rep_rank": 2, "rep_sim": 0.8954305648803711, "chunk_id": "chunk_00006072", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 6072, "text_preview": "Multi-View Unsupervised Image Generation with Cross Attention Guidance The growing interest in novel view synthesis, driven by Neural Radiance Field (NeRF) models, is hindered by scalability issues due to their reliance on precisely annotated multi-view images. Recent models address this by fine-tuning large text2image diffusion models on synthetic multi-view data. Despite robust zero-shot genera"}, {"rep_rank": 3, "rep_sim": 0.8952852487564087, "chunk_id": "chunk_02509899", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 2509899, "text_preview": "Pix2Surf: Learning Parametric 3D Surface Models of Objects from Images We investigate the problem of learning to generate 3D parametric surface representations for novel object instances, as seen from one or more views. Previous work on learning shape reconstruction from multiple views uses discrete representations such as point clouds or voxels, while continuous surface generation approaches lac"}]}, {"cluster_id": 47, "size": 28324, "avg_prob": 1.0, "supergroup_id": null, "supergroup_top_terms": "ph cond mat astro phase cond_mat field mass quantum states", "group_id": 5, "group_top_terms": "hep ph quark ex mass energy hep_ph nu boson cats_hep", "top_terms": "pi decays hep decay bar psi quark eta ex nu xi meson cp branching pm heavy ell ph hep_ph states", "contrast_terms": "xi branching pm ell semileptonic pi_pi rightarrow charmed sigma mesons charm baryons", "cluster_title": "hep ph / pi pi / pi", "cohesion_mean_sim": 0.8404791355133057, "cohesion_p10_sim": 0.8130190968513489, "reps": [{"rep_rank": 1, "rep_sim": 0.8855679035186768, "chunk_id": "chunk_01048808", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 1048808, "text_preview": "E2 Strength in the Radiative Charmed Baryon Decay The radiative decay $\\Sigma_Q^* \\rightarrow \\Lambda_Q\\gamma$ can have both magnetic dipole (M1) and electric quadrupole (E2) components. In the heavy quark limit $M_Q\\rightarrow\\infty$ the transition arises from the spin of the light degrees of freedom changing from $s_l=1$ to $s_l=0$ and hence the E2 contribution vanishes. We compute the leading"}, {"rep_rank": 2, "rep_sim": 0.8802477121353149, "chunk_id": "chunk_00130782", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 130782, "text_preview": "Decay widths and mass spectra of single bottom baryons We develop a Hamiltonian model that incorporates the spin, spin-orbit, and isospin interactions to determine the masses of the ground states of single-bottom baryons and their excitations up to the $D$-wave. Furthermore, we calculate the strong decay widths of single-bottom baryons using the $^3P_0$ model. Our calculations consider final stat"}, {"rep_rank": 3, "rep_sim": 0.8792576789855957, "chunk_id": "chunk_01484226", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 1484226, "text_preview": "Evidence for the baryonic decay B0bar --> D0 Lambda Lambdabar Evidence is presented for the baryonic $B$ meson decay $\\bar{B}\\rightarrow D^0 \\Lambda \\bar{\\Lambda}$ based on a data sample of $471 \\times 10^6$ $B\\bar{B}$ pairs collected with the {\\it BABAR} detector at the PEP2 asymmetric $e^+e^-$ collider located at the SLAC National Accelerator Laboratory. The branching fraction is determined to"}]}, {"cluster_id": 48, "size": 28168, "avg_prob": 1.0, "supergroup_id": 1, "supergroup_top_terms": "math mathbb space prove theory cats_math equation field group hep", "group_id": null, "group_top_terms": "math equation equations numerical system time ap boundary differential existence", "top_terms": "flow turbulent fluid dyn physics flu turbulence flows velocity physics_flu flu_dyn vortex physics_flu_dyn flame numerical wall cats_physics_flu energy dyn_year two", "contrast_terms": "turbulent dyn flu turbulence flows velocity physics_flu flu_dyn vortex physics_flu_dyn flame wall", "cluster_title": "physics flu / flu dyn / physics flu dyn", "cohesion_mean_sim": 0.8251044750213623, "cohesion_p10_sim": 0.7853330373764038, "reps": [{"rep_rank": 1, "rep_sim": 0.8821938037872314, "chunk_id": "chunk_01275569", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 1275569, "text_preview": "Experimental study of the convection in a thin cylindrical gas layer with imposed bottom and top fluxes and imposed side temperature We investigate convection in a thin cylindrical gas layer with an imposed flux at the bottom and a fixed temperature along the side, using a combination of direct numerical simulations and laboratory experiments. The experimental approach allows us to extend by two"}, {"rep_rank": 2, "rep_sim": 0.8726797103881836, "chunk_id": "chunk_00192132", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 192132, "text_preview": "Direct and inverse cascades scaling in real shell models of turbulence Shell models provide a simplified mathematical framework that captures essential features of incompressible fluid turbulence, such as the energy cascade and scaling of the fluid observables. We perform a precision analysis of the direct and inverse cascades in shell models of turbulence, where the velocity field is a real-valu"}, {"rep_rank": 3, "rep_sim": 0.8716570138931274, "chunk_id": "chunk_01731814", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 1731814, "text_preview": "Large-scale instabilities of helical flows Large-scale hydrodynamic instabilities of periodic helical flows are investigated using $3$D Floquet numerical computations. A minimal three-modes analytical model that reproduce and explains some of the full Floquet results is derived. The growth-rate $\\sigma$ of the most unstable modes (at small scale, low Reynolds number $Re$ and small wavenumber $q$)"}]}, {"cluster_id": 49, "size": 28155, "avg_prob": 1.0, "supergroup_id": 1, "supergroup_top_terms": "math mathbb space prove theory cats_math equation field group hep", "group_id": 4, "group_top_terms": "math mathbb cats_math prove group groups space spaces mathcal algebra", "top_terms": "math spaces mathbb functions measure convex set inequality sets space inequalities metric hausdorff fa function measures mu prove theorem cats_math", "contrast_terms": "hausdorff lebesgue mg minkowski continuous mathscr convergence ds ca entropy subset math_mg", "cluster_title": "cats math / math mg / math", "cohesion_mean_sim": 0.826552152633667, "cohesion_p10_sim": 0.7936646938323975, "reps": [{"rep_rank": 1, "rep_sim": 0.8918663859367371, "chunk_id": "chunk_01453942", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 1453942, "text_preview": "Non-continuous valuations on convex bodies and a new characterization of volume This paper investigates the use of automatic continuity techniques in the context of valuations on convex bodies. We first provide an automatic continuity theorem for valuations restricted to parallelotopes with respect to a fixed basis. This result in combination with a counting argument provides a strengthened versi"}, {"rep_rank": 2, "rep_sim": 0.8754615187644958, "chunk_id": "chunk_01248147", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 1248147, "text_preview": "Winning and nullity of inhomogeneous bad We prove the hyperplane absolute winning property of weighted inhomogeneous badly approximable vectors in $\\mathbb{R}^d$. This answers a question by Beresnevich--Nesharim--Yang and extends the main result of [Geometric and Functional Analysis, 31 (1), 1-33, 2021] to the inhomogeneous set-up. We also show for any nondegenerate curve and nondegenerate analy"}, {"rep_rank": 3, "rep_sim": 0.8720275163650513, "chunk_id": "chunk_02753235", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 2753235, "text_preview": "Bounding the Dimension of Points on a Line We use Kolmogorov complexity methods to give a lower bound on the effective Hausdorff dimension of the point (x, ax+b), given real numbers a, b, and x. We apply our main theorem to a problem in fractal geometry, giving an improved lower bound on the (classical) Hausdorff dimension of generalized sets of Furstenberg type. cats: cs.CC math.CA year: 2016 i"}]}, {"cluster_id": 50, "size": 27891, "avg_prob": 1.0, "supergroup_id": 2, "supergroup_top_terms": "cs based model data models learning performance time network training", "group_id": 9, "group_top_terms": "cs based model models data language learning human knowledge llms", "top_terms": "social data cs research media users social_media online user information analysis study based twitter more tweets knowledge si content science", "contrast_terms": "media social_media online twitter tweets si content science communities community scientific topics", "cluster_title": "social media / social / data", "cohesion_mean_sim": 0.7913467884063721, "cohesion_p10_sim": 0.734758198261261, "reps": [{"rep_rank": 1, "rep_sim": 0.8611423969268799, "chunk_id": "chunk_00388197", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 388197, "text_preview": "Reciprocity in Machine Learning Machine learning is pervasive. It powers recommender systems such as Spotify, Instagram and YouTube, and health-care systems via models that predict sleep patterns, or the risk of disease. Individuals contribute data to these models and benefit from them. Are these contributions (outflows of influence) and benefits (inflows of influence) reciprocal? We propose meas"}, {"rep_rank": 2, "rep_sim": 0.860908031463623, "chunk_id": "chunk_02181750", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 2181750, "text_preview": "Mark My Words! Linguistic Style Accommodation in Social Media The psycholinguistic theory of communication accommodation accounts for the general observation that participants in conversations tend to converge to one another's communicative behavior: they coordinate in a variety of dimensions including choice of words, syntax, utterance length, pitch and gestures. In its almost forty years of exi"}, {"rep_rank": 3, "rep_sim": 0.8592170476913452, "chunk_id": "chunk_00655050", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 655050, "text_preview": "On the Relation Between Opinion Change and Information Consumption on Reddit While much attention has been devoted to the causes of opinion change, little is known about its consequences. Our study sheds a light on the relationship between one user's opinion change episode and subsequent behavioral change on an online social media, Reddit. In particular, we look at r/ChangeMyView, an online comm"}]}, {"cluster_id": 51, "size": 27763, "avg_prob": 1.0, "supergroup_id": null, "supergroup_top_terms": "ph cond mat astro phase cond_mat field mass quantum states", "group_id": 8, "group_top_terms": "cond mat cond_mat quantum field phase spin ph state states", "top_terms": "quantum quant qubit circuits classical circuit gates qubits algorithm computing ph quant_ph cats_quant algorithms optimization gate quantum_computing learning annealing cats_quant_ph", "contrast_terms": "circuits circuit gates algorithm computing algorithms optimization quantum_computing learning annealing problem problems", "cluster_title": "quant ph / cats quant / quantum computing", "cohesion_mean_sim": 0.8546026349067688, "cohesion_p10_sim": 0.8270162343978882, "reps": [{"rep_rank": 1, "rep_sim": 0.9087154865264893, "chunk_id": "chunk_00046523", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 46523, "text_preview": "Optimal quantum circuit cuts with application to clustered Hamiltonian simulation We study methods to replace entangling operations with random local operations in a quantum computation, at the cost of increasing the number of required executions. First, we consider \"space-like cuts\" where an entangling unitary is replaced with random local unitaries. We propose an entanglement measure for quant"}, {"rep_rank": 2, "rep_sim": 0.9018888473510742, "chunk_id": "chunk_00381888", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 381888, "text_preview": "Towards a SAT Encoding for Quantum Circuits: A Journey From Classical Circuits to Clifford Circuits and Beyond Satisfiability Testing (SAT) techniques are well-established in classical computing where they are used to solve a broad variety of problems, e.g., in the design of classical circuits and systems. Analogous to the classical realm, quantum algorithms are usually modelled as circuits and"}, {"rep_rank": 3, "rep_sim": 0.901215672492981, "chunk_id": "chunk_02350525", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 2350525, "text_preview": "Optimizing QAOA: Success Probability and Runtime Dependence on Circuit Depth The quantum approximate optimization algorithm~(QAOA) first proposed by Farhi et al. promises near-term applications based on its simplicity, universality, and provable optimality. A depth-p QAOA consists of p interleaved unitary transformations induced by two mutually non-commuting Hamiltonians. A long-standing questio"}]}, {"cluster_id": 52, "size": 27643, "avg_prob": 1.0, "supergroup_id": null, "supergroup_top_terms": "ph cond mat astro phase cond_mat field mass quantum states", "group_id": 2, "group_top_terms": "light optical phase physics beam cats_physics frequency high laser optics", "top_terms": "beam physics detector energy electron ins det high acc plasma radiation cats_physics ray physics_ins ins_det ph proton physics_acc acc_ph ion", "contrast_terms": "detector energy electron ins det acc plasma physics_ins ins_det proton physics_acc acc_ph", "cluster_title": "cats physics / physics ins / ins det", "cohesion_mean_sim": 0.801633358001709, "cohesion_p10_sim": 0.7655203938484192, "reps": [{"rep_rank": 1, "rep_sim": 0.8519160747528076, "chunk_id": "chunk_00808780", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 808780, "text_preview": "First measurement of low intensity fast neutron background from rock at the Boulby Underground Laboratory A technique to measure low intensity fast neutron flux has been developed. The design, calibrations, procedure for data analysis and interpretation of the results are discussed in detail. The technique has been applied to measure the neutron background from rock at the Boulby Underground Lab"}, {"rep_rank": 2, "rep_sim": 0.8511776924133301, "chunk_id": "chunk_02916321", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 2916321, "text_preview": "Drifting Photons on Optical Paths: Mirrors, Sub-mm Resolution in 4 Dimensions, and Transverse/Longitudinal Phase Space: Exploiting Time Resolution I discuss the status of MCP-based photo-detector amplification sections and Cherenkov light sources for precise timing measurements of charged particles and gamma rays. Sub-psec resolution is predicted for the large pulses such as those produced by a"}, {"rep_rank": 3, "rep_sim": 0.8510093688964844, "chunk_id": "chunk_01656837", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 1656837, "text_preview": "Micro-Pattern Gas Detectors for Charged-Particle Tracking and Muon Detection In the context of the 2013 APS-DPF Snowmass summer study conducted by the U.S. HEP community, this white paper outlines a roadmap for further development of Micro-pattern Gas Detectors for tracking and muon detection in HEP experiments. We briefly discuss technical requirements and summarize current capabilities of thes"}]}, {"cluster_id": 53, "size": 27564, "avg_prob": 1.0, "supergroup_id": 1, "supergroup_top_terms": "math mathbb space prove theory cats_math equation field group hep", "group_id": null, "group_top_terms": "math equation equations numerical system time ap boundary differential existence", "top_terms": "equations solutions ap math equation boundary navier stokes math_ap solution cats_math_ap initial navier_stokes ap_year global existence problem prove math_ap_year system", "contrast_terms": "navier navier_stokes posedness condition weak estimates nabla reaction hyperbolic initial_data weak_solutions stokes_equations", "cluster_title": "math ap / cats math ap / navier stokes", "cohesion_mean_sim": 0.8394889831542969, "cohesion_p10_sim": 0.8100691437721252, "reps": [{"rep_rank": 1, "rep_sim": 0.8870569467544556, "chunk_id": "chunk_01445182", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 1445182, "text_preview": "Weak-Strong Uniqueness and Relaxation Limit for a Navier-Stokes-Korteweg Model We consider a parabolic relaxation model for the compressible Navier-Stokes-Korteweg equations in the isothermal framework. This system depends on the relaxation parameters $\\alpha,\\beta>0$ and approximates formally solutions of the compressible Navier-Stokes-Korteweg equations in the relaxation limit $\\alpha \\to \\inft"}, {"rep_rank": 2, "rep_sim": 0.8826378583908081, "chunk_id": "chunk_02285677", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 2285677, "text_preview": "Gradient estimates for divergence form parabolic systems We consider divergence form, second-order strongly parabolic systems in a cylindrical domain with a finite number of subdomains under the assumption that the interfacial boundaries are $C^{1,\\text{Dini}}$ and $C^{\\gamma_{0}}$ in the spatial variables and the time variable, respectively. Gradient estimates and piecewise $C^{1/2,1}$-regularit"}, {"rep_rank": 3, "rep_sim": 0.8797197341918945, "chunk_id": "chunk_00957801", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 957801, "text_preview": "Low Mach number limit of the full Navier-Stokes equations The low Mach number limit for classical solutions to the full Navier Stokes equations is here studied. The combined effects of large temperature variations and thermal conduction are accounted. In particular we consider general initial data. The equations leads to a singular problem, depending on a small scaling parameter, whose linearized"}]}, {"cluster_id": 54, "size": 27556, "avg_prob": 1.0, "supergroup_id": null, "supergroup_top_terms": "ph cond mat astro phase cond_mat field mass quantum states", "group_id": 8, "group_top_terms": "cond mat cond_mat quantum field phase spin ph state states", "top_terms": "spin magnetic cond mat hall field current mes ferromagnetic cond_mat electron temperature magnetization effect mtrl sci transport domain polarization pt", "contrast_terms": "domain polarization pt torque wall magnetoresistance kondo magnetic_field spin_orbit resonance electric voltage", "cluster_title": "cond mat / magnetic field / spin orbit", "cohesion_mean_sim": 0.842196524143219, "cohesion_p10_sim": 0.8173263072967529, "reps": [{"rep_rank": 1, "rep_sim": 0.889018177986145, "chunk_id": "chunk_02019848", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 2019848, "text_preview": "Indirect exchange coupling between localized magnetic moments in carbon nanotubes: a dynamic approach Magnetic moments dilutely dispersed in a metallic host tend to be coupled through the conduction electrons of the metal. This indirect exchange coupling, known to occur for a variety of magnetic materials embedded in several different metallic structures, is of rather long range, especially for"}, {"rep_rank": 2, "rep_sim": 0.8805833458900452, "chunk_id": "chunk_02050153", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 2050153, "text_preview": "Noise studies of magnetization dynamics in dilute magnetic semiconductor heterostructures We study theoretically and experimentally the frequency and temperature dependence of resistivity noise in semiconductor heterostructures delta-doped by Mn. The resistivity noise is observed to be non-monotonous as a function of frequency. As a function of temperature, the noise increases by two orders of m"}, {"rep_rank": 3, "rep_sim": 0.8788350820541382, "chunk_id": "chunk_01779655", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 1779655, "text_preview": "The nature of domain walls in ultrathin ferromagnets revealed by scanning nanomagnetometry The recent observation of current-induced domain wall (DW) motion with large velocity in ultrathin magnetic wires has opened new opportunities for spintronic devices. However, there is still no consensus on the underlying mechanisms of DW motion. Key to this debate is the DW structure, which can be of Bloc"}]}, {"cluster_id": 55, "size": 27395, "avg_prob": 1.0, "supergroup_id": null, "supergroup_top_terms": "ph cond mat astro phase cond_mat field mass quantum states", "group_id": 6, "group_top_terms": "astro ph astro_ph mass star emission observations 10 formation galaxy", "top_terms": "cosmological cmb cosmic astro dark ph redshift matter galaxy universe gravitational lensing model background co data power astro_ph constraints bispectrum", "contrast_terms": "cmb universe lensing background constraints bispectrum cdm microwave primordial surveys ph_co gaussianity", "cluster_title": "astro ph / ph co / cosmological", "cohesion_mean_sim": 0.8521792888641357, "cohesion_p10_sim": 0.8190523386001587, "reps": [{"rep_rank": 1, "rep_sim": 0.8953656554222107, "chunk_id": "chunk_01624671", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 1624671, "text_preview": "Planck and the local Universe: quantifying the tension We use the latest Planck constraints, and in particular constraints on the derived parameters (Hubble constant and age of the Universe) for the local universe and compare them with local measurements of the same quantities. We propose a way to quantify whether cosmological parameters constraints from two different experiments are in tension o"}, {"rep_rank": 2, "rep_sim": 0.8930644392967224, "chunk_id": "chunk_02894508", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 2894508, "text_preview": "Evidence of a truncated spectrum in the angular correlation function of the cosmic microwave background The lack of large-angle correlations in the fluctuations of the cosmic microwave background (CMB) conflicts with predictions of slow-roll inflation. But though probabilities (< 0.24%) for the missing correlations disfavor the conventional picture at > 3 sigma, factors not associated with the m"}, {"rep_rank": 3, "rep_sim": 0.8898159861564636, "chunk_id": "chunk_01259621", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 1259621, "text_preview": "Statistical Nuances in BAO Analysis: Likelihood Formulations and Non-Gaussianities We present a systematic comparison of statistical approaches to Baryon Acoustic Oscillation (BAO) analysis using DESI DR2 data. We evaluate four methods for handling the nuisance parameter $\\beta=1/(H_0 r_d)$: marginalization, profiling, Taylor expansion, and full likelihood analysis across multiple cosmological m"}]}, {"cluster_id": 56, "size": 27393, "avg_prob": 1.0, "supergroup_id": 1, "supergroup_top_terms": "math mathbb space prove theory cats_math equation field group hep", "group_id": 3, "group_top_terms": "field hep theory quantum space th gauge gravity hep_th ph", "top_terms": "black hole black_hole holes horizon qc gr black_holes gravity gr_qc solutions th spacetime schwarzschild cats_gr hep mass kerr gravitational hawking", "contrast_terms": "black_holes kerr hawking charged rotating wormholes horizons extremal naked btz de_sitter reissner", "cluster_title": "black hole / black holes / gr qc", "cohesion_mean_sim": 0.8392906188964844, "cohesion_p10_sim": 0.812996506690979, "reps": [{"rep_rank": 1, "rep_sim": 0.8840334415435791, "chunk_id": "chunk_02690744", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 2690744, "text_preview": "Late-time decay of coupled electromagnetic and gravitational perturbations outside an extremal charged black hole In this paper we employ the results of a previous paper on the late-time decay of scalar-field perturbations of an extreme Reissner-Nordstrom black hole, in order to find the late-time decay of coupled electromagnetic and gravitational perturbations of this black hole. We explicitly"}, {"rep_rank": 2, "rep_sim": 0.882661759853363, "chunk_id": "chunk_02331775", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 2331775, "text_preview": "Understanding black hole evaporation using explicitly computed Penrose diagrams Explicitly computed Penrose diagrams are plotted for a classical model of black hole formation and evaporation, in which black holes form by the accretion of infalling spherical shells of matter and subsequently evaporate by emitting spherical shells of Hawking radiation. This model is based on known semiclassical ef"}, {"rep_rank": 3, "rep_sim": 0.8794437646865845, "chunk_id": "chunk_00744574", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 744574, "text_preview": "Black Hole Excision for Dynamic Black Holes We extend previous work on 3D black hole excision to the case of distorted black holes, with a variety of dynamic gauge conditions that are able to respond naturally to the spacetime dynamics. We show that the combination of excision and gauge conditions we use is able to drive highly distorted, rotating black holes to an almost static state at late tim"}]}, {"cluster_id": 57, "size": 27305, "avg_prob": 1.0, "supergroup_id": 2, "supergroup_top_terms": "cs based model data models learning performance time network training", "group_id": 9, "group_top_terms": "cs based model models data language learning human knowledge llms", "top_terms": "code software cs se language cs_se llms se_year testing developers program source cats_cs_se model models based data security engineering projects", "contrast_terms": "se cs_se se_year testing developers program cats_cs_se security engineering projects test cs_se_year", "cluster_title": "cs se / se year / cats cs se", "cohesion_mean_sim": 0.8223937749862671, "cohesion_p10_sim": 0.7710133194923401, "reps": [{"rep_rank": 1, "rep_sim": 0.9012157917022705, "chunk_id": "chunk_01167224", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 1167224, "text_preview": "From Benchmark Data To Applicable Program Repair: An Experience Report This paper describes our approach to automated program repair. We combine various techniques from the literature to achieve this. Our experiments show that our approach performs better than other techniques on standard benchmarks. However, on closer inspection, none of these techniques work on realistic defects that we see in"}, {"rep_rank": 2, "rep_sim": 0.8978579044342041, "chunk_id": "chunk_01302004", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 1302004, "text_preview": "Imandra CodeLogician: Neuro-Symbolic Reasoning for Precise Analysis of Software Logic Large Language Models (LLMs) have shown strong performance on code understanding tasks, yet they fundamentally lack the ability to perform precise, exhaustive mathematical reasoning about program behavior. Existing benchmarks either focus on mathematical proof automation, largely disconnected from real-world sof"}, {"rep_rank": 3, "rep_sim": 0.8957639932632446, "chunk_id": "chunk_00212459", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 212459, "text_preview": "Strategic Optimization and Challenges of Large Language Models in Object-Oriented Programming In the area of code generation research, the emphasis has transitioned from crafting individual functions to developing class-level method code that integrates contextual information. This shift has brought several benchmarks such as ClassEval and CoderEval, which consider class-level contexts. Neverthe"}]}, {"cluster_id": 58, "size": 27275, "avg_prob": 1.0, "supergroup_id": null, "supergroup_top_terms": "ph cond mat astro phase cond_mat field mass quantum states", "group_id": 5, "group_top_terms": "hep ph quark ex mass energy hep_ph nu boson cats_hep", "top_terms": "nucl nuclear nuclei nucleon th nucl_th neutron cats_nucl energy shell scattering state interaction states cats_nucl_th energies alpha model nucl_th_year mev", "contrast_terms": "nuclei neutron interaction cats_nucl_th nucl_th_year calculations reactions body nuclear_matter isotopes th_year excitation", "cluster_title": "nucl th / cats nucl / cats nucl th", "cohesion_mean_sim": 0.8405943512916565, "cohesion_p10_sim": 0.8053816556930542, "reps": [{"rep_rank": 1, "rep_sim": 0.8842082023620605, "chunk_id": "chunk_02575710", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 2575710, "text_preview": "Moving away from singly-magic nuclei with Gorkov Green's function theory Ab initio calculations of bulk nuclear properties (ground-state energies, root mean square charge radii and charge density distributions) are presented for seven complete isotopic chains around calcium, from argon to chromium. Calculations are performed within the Gorkov self-consistent Green's function approach at second or"}, {"rep_rank": 2, "rep_sim": 0.8824687004089355, "chunk_id": "chunk_02652581", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 2652581, "text_preview": "Proxy-SU(3): A symmetry for heavy nuclei The SU(3) symmetry realized by J. P. Elliott in the sd nuclear shell is destroyed in heavier shells by the strong spin-orbit interaction. On the other hand, the SU(3) symmetry has been used for the description of heavy nuclei in terms of bosons in the framework of the Interacting Boson Approximation, as well as in terms of fermions using the pseudo-SU(3) a"}, {"rep_rank": 3, "rep_sim": 0.8822775483131409, "chunk_id": "chunk_01609056", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 1609056, "text_preview": "Nuclear Field Theory predictions for 11Li and 12Be: shedding light on the origin of pairing in nuclei Recent data resulting from studies of two-nucleon transfer reaction on 11Li, analyzed through a unified nuclear-structure-direct-reaction theory have provided strong direct as well as indirect confirmation, through the population of the first excited state of 9Li and of the observation of a stro"}]}, {"cluster_id": 59, "size": 27196, "avg_prob": 1.0, "supergroup_id": null, "supergroup_top_terms": "ph cond mat astro phase cond_mat field mass quantum states", "group_id": 5, "group_top_terms": "hep ph quark ex mass energy hep_ph nu boson cats_hep", "top_terms": "collisions nucl heavy production ion hadron jet heavy_ion hep ex gev ion_collisions transverse momentum energy pb au gluon quark heavy_ion_collisions", "contrast_terms": "ion heavy_ion ion_collisions pb au heavy_ion_collisions rhic rapidity transverse_momentum medium collision flow", "cluster_title": "heavy ion / ion collisions / heavy ion collisions", "cohesion_mean_sim": 0.8532682657241821, "cohesion_p10_sim": 0.824529767036438, "reps": [{"rep_rank": 1, "rep_sim": 0.8951663970947266, "chunk_id": "chunk_02637820", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 2637820, "text_preview": "Insight into particle production mechanisms via angular correlations of identified particles measured with ALICE in pp collisions at $\\mathbf{\\sqrt{{\\textit s}}}=7$ TeV Two-particle correlations as a function of $\\Delta\\eta$ and $\\Delta\\varphi$ are used in all collision systems to study a wide range of physical phenomena. Examples include the collective behavior of the quark-gluon plasma medium"}, {"rep_rank": 2, "rep_sim": 0.8935180902481079, "chunk_id": "chunk_00202243", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 202243, "text_preview": "Azimuthal Anisotropy Scaling for Identified Mesons and Baryons: Insights into Medium Transport Properties, Equation of State and Hadronic Re-scattering Scaling functions for the centrality and transverse momentum dependence of \\(v_2(p_T,\\text{cent})\\) and \\(v_3(p_T,\\text{cent})\\) are constructed for identified mesons and baryons in Pb+Pb (\\(\\sqrt{s_{NN}}=2.76,\\ 5.02\\)~TeV), Xe+Xe (5.44~TeV), and"}, {"rep_rank": 3, "rep_sim": 0.8916924595832825, "chunk_id": "chunk_01770887", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 1770887, "text_preview": "Evidence for collective multi-particle correlations in pPb collisions The second-order azimuthal anisotropy Fourier harmonics, v2, are obtained in pPb and PbPb collisions over a wide pseudorapidity (eta) range based on correlations among six or more charged particles. The pPb data, corresponding to an integrated luminosity of 35 inverse nanobarns, were collected during the 2013 LHC pPb run at a n"}]}, {"cluster_id": 60, "size": 26786, "avg_prob": 1.0, "supergroup_id": 2, "supergroup_top_terms": "cs based model data models learning performance time network training", "group_id": 7, "group_top_terms": "cs problem time based model network optimal algorithm algorithms math", "top_terms": "logic lo automata cs semantics lo_year cs_lo calculus languages proof boolean complexity systems language finite theory cs_lo_year order logical cats_cs_lo", "contrast_terms": "logic lo automata semantics lo_year cs_lo calculus languages boolean language cs_lo_year logical", "cluster_title": "lo year / cs lo / cs lo year", "cohesion_mean_sim": 0.837717592716217, "cohesion_p10_sim": 0.7957168221473694, "reps": [{"rep_rank": 1, "rep_sim": 0.8917707204818726, "chunk_id": "chunk_01538675", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 1538675, "text_preview": "Bivalent semantics, generalized compositionality and analytic classic-like tableaux for finite-valued logics The paper is a contribution both to the theoretical foundations and to the actual construction of efficient automatizable proof procedures for non-classical logics. We focus here on the case of finite-valued logics, and exhibit: (i) a mechanism for producing a classic-like description of"}, {"rep_rank": 2, "rep_sim": 0.8882154226303101, "chunk_id": "chunk_02676162", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 2676162, "text_preview": "Canonical Models and the Complexity of Modal Team Logic We study modal team logic MTL, the team-semantical extension of modal logic ML closed under Boolean negation. Its fragments, such as modal dependence, independence, and inclusion logic, are well-understood. However, due to the unrestricted Boolean negation, the satisfiability problem of full MTL has been notoriously resistant to a complexity"}, {"rep_rank": 3, "rep_sim": 0.8879252672195435, "chunk_id": "chunk_00652530", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 652530, "text_preview": "Comparing Channel Restrictions of Communicating State Machines, High-level Message Sequence Charts, and Multiparty Session Types Communicating state machines provide a formal foundation for distributed computation. Unfortunately, they are Turing-complete and, thus, challenging to analyse. In this paper, we classify restrictions on channels which have been proposed to work around the undecidabili"}]}, {"cluster_id": 61, "size": 26688, "avg_prob": 1.0, "supergroup_id": null, "supergroup_top_terms": "ph cond mat astro phase cond_mat field mass quantum states", "group_id": 8, "group_top_terms": "cond mat cond_mat quantum field phase spin ph state states", "top_terms": "temperature cond mat sci mtrl high materials thermal crystal pressure alloys properties phase mtrl_sci mat_mtrl cond_mat melting growth superconducting low", "contrast_terms": "alloys melting growth grain temperatures heat crystals diffraction amorphous solid been under", "cluster_title": "mtrl sci / mat mtrl / cond mat", "cohesion_mean_sim": 0.814801812171936, "cohesion_p10_sim": 0.7803820371627808, "reps": [{"rep_rank": 1, "rep_sim": 0.8732340335845947, "chunk_id": "chunk_02830240", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 2830240, "text_preview": "Anomalous local distortion in BCC refractory high-entropy alloys Whereas exceptional mechanical and radiation performances have been found in the emergent medium- and high-entropy alloys (MEAs and HEAs), the importance of their complex atomic environment, reflecting diversity in atomic size and chemistry, to defect transport has been largely unexplored at the atomic level. Here we adopt a local s"}, {"rep_rank": 2, "rep_sim": 0.8697069883346558, "chunk_id": "chunk_01637137", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 1637137, "text_preview": "The metal-insulator transition in disordered solids: How theoretical prejudices influence its characterization. A critical review of analyses of experimental data In a recent experiment, Siegrist et al. [Nature Materials 10, 202 (2011)] investigated the metal-insulator transition (MIT) of GeSb_2Te_4 on increasing annealing temperature. The authors conclude that this material exhibits a disconti"}, {"rep_rank": 3, "rep_sim": 0.8695489168167114, "chunk_id": "chunk_00921422", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 921422, "text_preview": "Ab initio study of the beta$-tin->Imma->sh phase transitions in silicon and germanium We have investigated the structural sequence of the high-pressure phases of silicon and germanium. We have focussed on the cd->beta-tin->Imma->sh phase transitions. We have used the plane-wave pseudopotential approach to the density-functional theory implemented within the Vienna ab-initio simulation package (V"}]}, {"cluster_id": 62, "size": 26546, "avg_prob": 1.0, "supergroup_id": 2, "supergroup_top_terms": "cs based model data models learning performance time network training", "group_id": 1, "group_top_terms": "cs based data model models learning performance deep lg network", "top_terms": "robot robots ro control planning cs cs_ro robotic motion trajectory autonomous based cats_cs_ro navigation safety manipulation learning ro_year controller system", "contrast_terms": "robots cs_ro robotic trajectory cats_cs_ro safety manipulation ro_year controller path cs_ro_year ro_cs", "cluster_title": "cs ro / cats cs ro / ro year", "cohesion_mean_sim": 0.8170419931411743, "cohesion_p10_sim": 0.7659978866577148, "reps": [{"rep_rank": 1, "rep_sim": 0.8824633955955505, "chunk_id": "chunk_01420787", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 1420787, "text_preview": "Constrained Decoding for Robotics Foundation Models Recent advances in the development of robotic foundation models have led to promising end-to-end and general-purpose capabilities in robotic systems. Trained on vast datasets of simulated and real-world trajectories, these models map multimodal observations directly to action sequences for physical execution. Despite promising real-world capabil"}, {"rep_rank": 2, "rep_sim": 0.8798201680183411, "chunk_id": "chunk_01132167", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 1132167, "text_preview": "Sequence Modeling for Time-Optimal Quadrotor Trajectory Optimization with Sampling-based Robustness Analysis Time-optimal trajectories drive quadrotors to their dynamic limits, but computing such trajectories involves solving non-convex problems via iterative nonlinear optimization, making them prohibitively costly for real-time applications. In this work, we investigate learning-based models tha"}, {"rep_rank": 3, "rep_sim": 0.879364013671875, "chunk_id": "chunk_01121056", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 1121056, "text_preview": "Leveling the Playing Field: Carefully Comparing Classical and Learned Controllers for Quadrotor Trajectory Tracking Learning-based control approaches like reinforcement learning (RL) have recently produced a slew of impressive results for tasks like quadrotor trajectory tracking and drone racing. Naturally, it is common to demonstrate the advantages of these new controllers against established me"}]}, {"cluster_id": 63, "size": 26492, "avg_prob": 1.0, "supergroup_id": 1, "supergroup_top_terms": "math mathbb space prove theory cats_math equation field group hep", "group_id": 4, "group_top_terms": "math mathbb cats_math prove group groups space spaces mathcal algebra", "top_terms": "omega math mathbb ap frac sobolev boundary equation fractional math_ap operators spaces bounded inequality infty problem operator regularity elliptic nabla", "contrast_terms": "sobolev fractional math_ap regularity nabla hardy estimates cats_math_ap solutions ap_year math_ap_year laplacian", "cluster_title": "math ap / cats math ap / ap year", "cohesion_mean_sim": 0.8416287302970886, "cohesion_p10_sim": 0.8156552314758301, "reps": [{"rep_rank": 1, "rep_sim": 0.8854718804359436, "chunk_id": "chunk_02127374", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 2127374, "text_preview": "Positive solutions of Schr\\\"odinger equations and fine regularity of boundary points Given a Lipschitz domain $\\Omega $ in ${\\mathbb R} ^N $ and a nonnegative potential $V$ in $\\Omega $ such that $V(x)\\, d(x,\\partial \\Omega)^2$ is bounded in $\\Omega $ we study the fine regularity of boundary points with respect to the Schr\\\"odinger operator $L_V:= \\Delta -V$ in $\\Omega $. Using potential theoret"}, {"rep_rank": 2, "rep_sim": 0.8842313885688782, "chunk_id": "chunk_02072701", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 2072701, "text_preview": "A Compact Embedding Theorem for Generalized Sobolev Spaces We give an elementary proof of a compact embedding theorem in abstract Sobolev spaces. The result is first presented in a general context and later specialized to the case of degenerate Sobolev spaces defined with respect to nonnegative quadratic forms. Although our primary interest concerns degenerate quadratic forms, our result also app"}, {"rep_rank": 3, "rep_sim": 0.88164222240448, "chunk_id": "chunk_02816693", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 2816693, "text_preview": "Sphericalization and p-harmonic functions on unbounded domains in Ahlfors regular metric spaces We use sphericalization to study the Dirichlet problem, Perron solutions and boundary regularity for p-harmonic functions on unbounded sets in Ahlfors regular metric spaces. Boundary regularity for the point at infinity is given special attention. In particular, we allow for several \"approach directio"}]}, {"cluster_id": 64, "size": 26441, "avg_prob": 1.0, "supergroup_id": null, "supergroup_top_terms": "ph cond mat astro phase cond_mat field mass quantum states", "group_id": 8, "group_top_terms": "cond mat cond_mat quantum field phase spin ph state states", "top_terms": "bose laser field condensate optical cond mat quantum atom quant atoms solitons physics nonlinear condensates einstein wave photon light gas", "contrast_terms": "condensate solitons nonlinear condensates einstein light bose_einstein vortices cavity optics equation waves", "cluster_title": "bose einstein / bose / laser", "cohesion_mean_sim": 0.836580216884613, "cohesion_p10_sim": 0.8082883358001709, "reps": [{"rep_rank": 1, "rep_sim": 0.8789852857589722, "chunk_id": "chunk_00987394", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 987394, "text_preview": "Microscopic theory of the interaction of ultracold dense Bose and Fermi gases with electromagnetic field We present the rigorous microscopic quantum theory of the interaction of ultracold Bose and Fermi gases with the electromagnetic field of vacuum and laser photons. The main attention has been paid to the consistent consideration of dynamical dipole-dipole interactions. The theory developed is"}, {"rep_rank": 2, "rep_sim": 0.8769406080245972, "chunk_id": "chunk_00785290", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 785290, "text_preview": "Fringe patterns of Bose condensates We investigate within the Gross-Pitaevski (GP) theory the formation of fringe patterns between two Bose condensates stored in a double well potential modelling the forces applied to the experimental systems. In the case of repulsive interactions between the atoms, we report the onset of interference structures similar to those observed in the experiments, after"}, {"rep_rank": 3, "rep_sim": 0.8758453726768494, "chunk_id": "chunk_00901559", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 901559, "text_preview": "Momentum-Transfer to and Elementary-Excitations of a Bose-Einstein Condensate by a Time-Dependent Optical Potential We present results of calculations on Bose-Einstein condensed $^{87}$Rb atoms subjected to a moving standing-wave light-potential of the form $V_L(z,t) = V_0(t) \\cos(q z-\\omega t)$. We calculate the mean-field dynamics (the order paramter) of the condensate and determine the result"}]}, {"cluster_id": 65, "size": 26421, "avg_prob": 1.0, "supergroup_id": 1, "supergroup_top_terms": "math mathbb space prove theory cats_math equation field group hep", "group_id": null, "group_top_terms": "math equation equations numerical system time ap boundary differential existence", "top_terms": "na method numerical order equations finite math_na element math problems time convergence equation methods na_year galerkin cats_math_na cs_na na_cs boundary", "contrast_terms": "na math_na methods na_year galerkin cats_math_na cs_na na_cs finite_element error schemes scheme", "cluster_title": "math na / na year / cats math na", "cohesion_mean_sim": 0.8404658436775208, "cohesion_p10_sim": 0.8084647059440613, "reps": [{"rep_rank": 1, "rep_sim": 0.8923680782318115, "chunk_id": "chunk_00121407", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 121407, "text_preview": "Numerical Approach Based on the Composition of One-Step Time-Integration Schemes For Highly Deformable Interfaces In this work, we propose a numerical approach for simulations of large deformations of interfaces in a level set framework. To obtain a fast and viable numerical solution in both time and space, temporal discretization is based on the composition of one-step methods exhibiting higher"}, {"rep_rank": 2, "rep_sim": 0.8906739950180054, "chunk_id": "chunk_00131795", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 131795, "text_preview": "Implicit Boundary Conditions in Partial Differential Equations Discretizations: Identifying Spurious Modes and Model Reduction We revisit the problem of spurious modes that are sometimes encountered in partial differential equations discretizations. It is generally suspected that one of the causes for spurious modes is due to how boundary conditions are treated, and we use this as the starting p"}, {"rep_rank": 3, "rep_sim": 0.8879616260528564, "chunk_id": "chunk_01253569", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 1253569, "text_preview": "Discretization Error Analysis of a High Order Unfitted Space-Time Method for moving domain problems We present a numerical analysis of a higher order unfitted space-time Finite Element method applied to a convection-diffusion model problem posed on a moving bulk domain. The method uses isoparametric space-time mappings for the geometry approximation of level set domains and has been presented and"}]}, {"cluster_id": 66, "size": 26367, "avg_prob": 1.0, "supergroup_id": null, "supergroup_top_terms": "ph cond mat astro phase cond_mat field mass quantum states", "group_id": 5, "group_top_terms": "hep ph quark ex mass energy hep_ph nu boson cats_hep", "top_terms": "production lhc hep higgs tev boson quark ex top collisions gev proton cross collider mass hep_ex atlas ph sqrt jet", "contrast_terms": "top atlas top_quark tevatron cms fb colliders tilde_chi cross_section hep_ex_year cats_hep_ex luminosity", "cluster_title": "hep ex / top quark / tilde chi", "cohesion_mean_sim": 0.8316914439201355, "cohesion_p10_sim": 0.7973194122314453, "reps": [{"rep_rank": 1, "rep_sim": 0.8841967582702637, "chunk_id": "chunk_01585876", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 1585876, "text_preview": "Measurement of associated production of vector bosons and top quark-antiquark pairs at sqrt(s) = 7 TeV The first measurement of vector-boson production associated with a top quark-antiquark pair in proton-proton collisions at sqrt(s) = 7 TeV is presented. The results are based on a data set corresponding to an integrated luminosity of 5.0 inverse femtobarms, recorded by the CMS detector at the L"}, {"rep_rank": 2, "rep_sim": 0.8756760358810425, "chunk_id": "chunk_01639799", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 1639799, "text_preview": "Precise QCD predictions for the production of a photon pair in association with two jets We compute the cross section for the production of a high-mass photon pair in association with two hadronic jets to next-to-leading order (NLO) in quantum chromodynamics (QCD). Our results allow for the first time to reliably predict the absolute normalisation of this process, and demonstrate that the shape"}, {"rep_rank": 3, "rep_sim": 0.8735977411270142, "chunk_id": "chunk_02856615", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 2856615, "text_preview": "Higgs Physics at the HL-LHC and HE-LHC The discovery of the Higgs boson in 2012, by the ATLAS and CMS experiments, was a success achieved with only a percent of the entire dataset foreseen for the LHC. It opened a landscape of possibilities in the study of Higgs boson properties, Electroweak Symmetry breaking and the Standard Model in general, as well as new avenues in probing new physics beyond"}]}, {"cluster_id": 67, "size": 26023, "avg_prob": 1.0, "supergroup_id": 2, "supergroup_top_terms": "cs based model data models learning performance time network training", "group_id": 7, "group_top_terms": "cs problem time based model network optimal algorithm algorithms math", "top_terms": "control sy systems system controller optimal problem power nonlinear optimization based model stability proposed cs_sy eess time mpc oc cs", "contrast_terms": "controller nonlinear stability cs_sy mpc eess_sy sy_year sy_cs state controllers predictive loop", "cluster_title": "cs sy / eess sy / sy year", "cohesion_mean_sim": 0.8221986293792725, "cohesion_p10_sim": 0.780316948890686, "reps": [{"rep_rank": 1, "rep_sim": 0.8857444524765015, "chunk_id": "chunk_01858537", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 1858537, "text_preview": "Optimality of Affine Policies in Multi-stage Robust Optimization In this paper, we show the optimality of a certain class of disturbance-affine control policies in the context of one-dimensional, constrained, multi-stage robust optimization. Our results cover the finite horizon case, with minimax (worst-case) objective, and convex state costs plus linear control costs. We develop a new proof meth"}, {"rep_rank": 2, "rep_sim": 0.8809998631477356, "chunk_id": "chunk_01205683", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 1205683, "text_preview": "Feedback control solves pseudoconvex optimal tracking problems in nonlinear dynamical systems Achieving optimality in controlling physical systems is a profound challenge across diverse scientific and engineering fields, spanning neuromechanics, biochemistry, autonomous systems, economics, and beyond. Traditional solutions, relying on time-consuming offline iterative algorithms, often yield limi"}, {"rep_rank": 3, "rep_sim": 0.8806917667388916, "chunk_id": "chunk_02298156", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 2298156, "text_preview": "Anti-Windup Approximations of Oblique Projected Dynamics for Feedback-based Optimization In this paper we study how high-gain anti-windup schemes can be used to implement projected dynamical systems in control loops that are subject to saturation on a (possibly unknown) set of admissible inputs. This insight is especially useful for the design of autonomous optimization schemes that realize a cl"}]}, {"cluster_id": 68, "size": 25968, "avg_prob": 1.0, "supergroup_id": null, "supergroup_top_terms": "ph cond mat astro phase cond_mat field mass quantum states", "group_id": 6, "group_top_terms": "astro ph astro_ph mass star emission observations 10 formation galaxy", "top_terms": "astro im data ph telescope ph_im gravitational astro_ph observations astro_ph_im noise astronomy instrument sky science im_year detectors array radio astronomical", "contrast_terms": "im ph_im astro_ph_im noise astronomy instrument science im_year detectors array astronomical resolution", "cluster_title": "ph im / astro ph / astro ph im", "cohesion_mean_sim": 0.8179410696029663, "cohesion_p10_sim": 0.7728254795074463, "reps": [{"rep_rank": 1, "rep_sim": 0.8773897886276245, "chunk_id": "chunk_02554743", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 2554743, "text_preview": "Optimizing Serendipitous Detections of Kilonovae: Cadence and Filter Selection The rise of multi-messenger astronomy has brought with it the need to exploit all available data streams and learn more about the astrophysical objects that fall within its breadth. One possible avenue is the search for serendipitous optical/near-infrared counterparts of gamma-ray bursts (GRBs) and gravitational-wave"}, {"rep_rank": 2, "rep_sim": 0.8705466985702515, "chunk_id": "chunk_00863842", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 863842, "text_preview": "FISICA: The Florida Image Slicer for Infrared Cosmology & Astrophysics We report on the design, fabrication, and on-sky performance of the Florida Image Slicer for Infrared Cosmology and Astrophysics (FISICA)- a fully-cryogenic all-reflective image-slicing integral field unit for the FLAMINGOS near-infrared spectrograph. Designed to accept input beams near f/15, FISICA with FLAMINGOS provides R \\"}, {"rep_rank": 3, "rep_sim": 0.8685281276702881, "chunk_id": "chunk_01273838", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 1273838, "text_preview": "The Atacama Cosmology Telescope: Machine Learning Driven Tools for Detecting Millimeter Sources in Timestream Pre-processing We present a new pipeline utilizing machine learning for classifying short-duration features in raw time-ordered data (TOD) of cosmic microwave background survey observations. The pipeline, specifically designed for the Atacama Cosmology Telescope, works in conjunction with"}]}, {"cluster_id": 69, "size": 25829, "avg_prob": 1.0, "supergroup_id": 2, "supergroup_top_terms": "cs based model data models learning performance time network training", "group_id": 7, "group_top_terms": "cs problem time based model network optimal algorithm algorithms math", "top_terms": "random math pr walk math_pr probability percolation process distribution cats_math_pr pr_year limit brownian model mathbb processes time math_pr_year random_walk critical", "contrast_terms": "pr walk math_pr percolation process cats_math_pr pr_year limit brownian mathbb processes math_pr_year", "cluster_title": "math pr / cats math pr / pr year", "cohesion_mean_sim": 0.8441357612609863, "cohesion_p10_sim": 0.8151799440383911, "reps": [{"rep_rank": 1, "rep_sim": 0.8953753709793091, "chunk_id": "chunk_00153234", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 153234, "text_preview": "Central Limit Theorems for Local Functionals of Dynamic Point Processes We establish finite-dimensional central limit theorems for local, additive, interaction functions of temporally evolving point processes. The dynamics are those of a spatial Poisson process on the flat torus with points subject to a birth-death mechanism, and which move according to Brownian motion while alive. The results re"}, {"rep_rank": 2, "rep_sim": 0.8930014371871948, "chunk_id": "chunk_00660416", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 660416, "text_preview": "Non-intersecting path constructions for TASEP with inhomogeneous rates and the KPZ fixed point We consider a discrete-time TASEP, where each particle jumps according to Bernoulli random variables with particle-dependent and time-inhomogeneous parameters. We use the combinatorics of the Robinson-Schensted-Knuth correspondence and certain intertwining relations to express the transition kernel of t"}, {"rep_rank": 3, "rep_sim": 0.8899341821670532, "chunk_id": "chunk_00259588", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 259588, "text_preview": "Tightness for interlacing geometric random walk bridges We investigate a class of line ensembles whose local structure is described by independent geometric random walk bridges, which have been conditioned to interlace with each other. The latter arise naturally in the context Schur processes, including their versions in a half-space and a finite interval with free or periodic boundary conditions"}]}, {"cluster_id": 70, "size": 25568, "avg_prob": 1.0, "supergroup_id": 1, "supergroup_top_terms": "math mathbb space prove theory cats_math equation field group hep", "group_id": 4, "group_top_terms": "math mathbb cats_math prove group groups space spaces mathcal algebra", "top_terms": "math operators operator matrix functions polynomials matrices mathbb fa spaces mathcal spectral space alpha function toeplitz generalized infty cats_math lambda", "contrast_terms": "matrix matrices spectral toeplitz generalized hilbert random orthogonal spectrum transform kernel eigenvalues", "cluster_title": "cats math / math / operators", "cohesion_mean_sim": 0.8313038349151611, "cohesion_p10_sim": 0.8038541078567505, "reps": [{"rep_rank": 1, "rep_sim": 0.8883510828018188, "chunk_id": "chunk_01557725", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 1557725, "text_preview": "A Jost-Pais-type reduction of Fredholm determinants and some applications We study the analog of semi-separable integral kernels in $\\cH$ of the type {equation*} K(x,x')={cases} F_1(x)G_1(x'), & a<x'< x< b, \\\\ F_2(x)G_2(x'), & a<x<x'<b, {cases} {equation*} where $-\\infty\\leq a<b\\leq \\infty$, and for a.e.\\ $x \\in (a,b)$, $F_j (x) \\in \\cB_2(\\cH_j,\\cH)$ and $G_j(x) \\in \\cB_2(\\cH,\\cH_j)$ such that $"}, {"rep_rank": 2, "rep_sim": 0.8836667537689209, "chunk_id": "chunk_02809109", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 2809109, "text_preview": "The eigenvalue distribution of special $2$-by-$2$ block matrix sequences, with applications to the case of symmetrized Toeplitz structures Given a Lebesgue integrable function $f$ over $[0,2\\pi]$, we consider the sequence of matrices $\\{Y_nT_n[f]\\}_n$, where $T_n[f]$ is the $n$-by-$n$ Toeplitz matrix generated by $f$ and $Y_n$ is the flip permutation matrix, also called the anti-identity matrix."}, {"rep_rank": 3, "rep_sim": 0.8778696060180664, "chunk_id": "chunk_01504193", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 1504193, "text_preview": "On the common Point Spectrum of pairs of Self-Adjoint Extensions Given two different self-adjoint extensions of the same symmetric operator, we analyse the intersection of their point spectra. Some simple examples are provided. cats: math-ph math.MP math.SP year: 2013 id: 1310.4103"}]}, {"cluster_id": 71, "size": 25459, "avg_prob": 1.0, "supergroup_id": 2, "supergroup_top_terms": "cs based model data models learning performance time network training", "group_id": 9, "group_top_terms": "cs based model models data language learning human knowledge llms", "top_terms": "ai cs human design agents research agent hc systems intelligence social based system cognitive data learning support artificial development robot", "contrast_terms": "intelligence cognitive support artificial robot cs_hc ethical game reality trust digital robots", "cluster_title": "cs hc / ai / cs", "cohesion_mean_sim": 0.8031697273254395, "cohesion_p10_sim": 0.7410213947296143, "reps": [{"rep_rank": 1, "rep_sim": 0.8814376592636108, "chunk_id": "chunk_01135616", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 1135616, "text_preview": "AI Agents vs. Agentic AI: A Conceptual Taxonomy, Applications and Challenges This review critically distinguishes between AI Agents and Agentic AI, offering a structured, conceptual taxonomy, application mapping, and analysis of opportunities and challenges to clarify their divergent design philosophies and capabilities. We begin by outlining the search strategy and foundational definitions, char"}, {"rep_rank": 2, "rep_sim": 0.8748607039451599, "chunk_id": "chunk_01260115", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 1260115, "text_preview": "Generative AI in Embodied Systems: System-Level Analysis of Performance, Efficiency and Scalability Embodied systems, where generative autonomous agents engage with the physical world through integrated perception, cognition, action, and advanced reasoning powered by large language models (LLMs), hold immense potential for addressing complex, long-horizon, multi-objective tasks in real-world env"}, {"rep_rank": 3, "rep_sim": 0.8745428919792175, "chunk_id": "chunk_01256459", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 1256459, "text_preview": "Augmenting Expert Cognition in the Age of Generative AI: Insights from Document-Centric Knowledge Work As Generative AI (GenAI) capabilities expand, understanding how to preserve and develop human expertise while leveraging AI's benefits becomes increasingly critical. Through empirical studies in two contexts -- survey article authoring in scholarly research and business document sensemaking --"}]}, {"cluster_id": 72, "size": 25342, "avg_prob": 1.0, "supergroup_id": null, "supergroup_top_terms": "ph cond mat astro phase cond_mat field mass quantum states", "group_id": 8, "group_top_terms": "cond mat cond_mat quantum field phase spin ph state states", "top_terms": "physics density electron molecules quantum molecular electronic energy cond mat chem theory ph states potential atom calculations interaction state functional", "contrast_terms": "vibrational molecule basis chem_ph physics_chem initio ab dipole energies density_functional dissociation excited", "cluster_title": "chem ph / physics chem / density functional", "cohesion_mean_sim": 0.8425009250640869, "cohesion_p10_sim": 0.8142428994178772, "reps": [{"rep_rank": 1, "rep_sim": 0.8941293954849243, "chunk_id": "chunk_00152000", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 152000, "text_preview": "Sampling the reciprocal Coulomb potential in finite and anisotropic cells We present a robust strategy to numerically sample the Coulomb potential in reciprocal space for periodic Born-von Karman cells of general shape. Our approach tackles two common issues of plane-wave based implementations of Coulomb integrals under periodic boundary conditions, the treatment of the singularity at the Brillo"}, {"rep_rank": 2, "rep_sim": 0.8883169889450073, "chunk_id": "chunk_00343601", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 343601, "text_preview": "Effective core potentials as a pathway to self-interaction error correction: a proof-of-concept study on one-electron systems In all applications of Density Functional Theory there is always a degree of one-electron self-interaction error (SIE). Here, we propose a simple self-interaction correction by applying an effective core potential (ECP) that replaces no electrons: we dub this the self-int"}, {"rep_rank": 3, "rep_sim": 0.8872760534286499, "chunk_id": "chunk_02870929", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 2870929, "text_preview": "Melting a Hubbard dimer: benchmarks of `ALDA' for quantum thermodynamics The competition between evolution time, interaction strength, and temperature challenges our understanding of many-body quantum systems out-of-equilibrium. Here we consider a benchmark system, the Hubbard dimer, which allows us to explore all the relevant regimes and calculate exactly the related average quantum work. At dif"}]}, {"cluster_id": 73, "size": 25254, "avg_prob": 1.0, "supergroup_id": 2, "supergroup_top_terms": "cs based model data models learning performance time network training", "group_id": 1, "group_top_terms": "cs based data model models learning performance deep lg network", "top_terms": "data treatment stat causal model covid pandemic 19 patients effect models disease risk covid_19 clinical analysis survival study effects health", "contrast_terms": "causal pandemic effect survival effects randomized mortality covariate trial studies trials ap", "cluster_title": "covid 19 / data / treatment", "cohesion_mean_sim": 0.7948687076568604, "cohesion_p10_sim": 0.7345505952835083, "reps": [{"rep_rank": 1, "rep_sim": 0.8701841235160828, "chunk_id": "chunk_02606582", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 2606582, "text_preview": "Individual dynamic predictions using landmarking and joint modelling: validation of estimators and robustness assessment After the diagnosis of a disease, one major objective is to predict cumulative probabilities of events such as clinical relapse or death from the individual information collected up to a prediction time, including usually biomarker repeated measurements. Several competing esti"}, {"rep_rank": 2, "rep_sim": 0.8667429685592651, "chunk_id": "chunk_01273817", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 1273817, "text_preview": "Surviving the frailty of time to event analysis in massive datasets with Generalized Additive Models (and the help of Simon Laplace) Analyses of time to event datasets have been invariably based on the Cox proportional hazards model (PHM). Reformulations of the PHM as a Poisson Generalized Additive Model (GAM) or as a Generalized Linear Mixed Model (GLMM) have been proposed in the literature, ai"}, {"rep_rank": 3, "rep_sim": 0.863768458366394, "chunk_id": "chunk_02698898", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 2698898, "text_preview": "Marginally Interpretable Generalized Linear Mixed Models Two popular approaches for relating correlated measurements of a non-Gaussian response variable to a set of predictors are to fit a marginal model using generalized estimating equations and to fit a generalized linear mixed model by introducing latent random variables. The first approach is effective for parameter estimation, but leaves one"}]}, {"cluster_id": 74, "size": 25141, "avg_prob": 1.0, "supergroup_id": 2, "supergroup_top_terms": "cs based model data models learning performance time network training", "group_id": 7, "group_top_terms": "cs problem time based model network optimal algorithm algorithms math", "top_terms": "network data iot cloud cs blockchain system distributed services edge service computing networks security based management dc systems internet routing", "contrast_terms": "iot cloud blockchain services edge computing security management dc internet routing applications", "cluster_title": "network / data / iot", "cohesion_mean_sim": 0.7963983416557312, "cohesion_p10_sim": 0.7496188879013062, "reps": [{"rep_rank": 1, "rep_sim": 0.8721246719360352, "chunk_id": "chunk_01265911", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 1265911, "text_preview": "Complexity at Scale: A Quantitative Analysis of an Alibaba Microservice Deployment Microservice management and testbed research often rests on assumptions about deployments that have rarely been validated at production scale. While recent studies have begun to characterise production microservice deployments, they are often limited in breadth, do not compare findings across deployments, and lack"}, {"rep_rank": 2, "rep_sim": 0.8632423877716064, "chunk_id": "chunk_01237202", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 1237202, "text_preview": "Evaluation of MQTT Bridge Architectures in a Cross-Organizational Context The latest surveys estimate an increasing number of connected Internet-of-Things (IoT) devices (around 16 billion) despite the sector's shortage of manufacturers. All these devices deployed into the wild will collect data to guide decision-making that can be made automatically by other systems, humans, or hybrid approaches"}, {"rep_rank": 3, "rep_sim": 0.8562862873077393, "chunk_id": "chunk_00681354", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 681354, "text_preview": "Cross-Chain State Machine Replication This paper considers the classical state machine replication (SMR) problem in a distributed system model inspired by cross-chain exchanges. We propose a novel SMR protocol adapted for this model. Each state machine transition takes $O(n)$ message delays, where $n$ is the number of active participants, of which any number may be Byzantine. This protocol makes"}]}, {"cluster_id": 75, "size": 24456, "avg_prob": 1.0, "supergroup_id": 1, "supergroup_top_terms": "math mathbb space prove theory cats_math equation field group hep", "group_id": null, "group_top_terms": "math equation equations numerical system time ap boundary differential existence", "top_terms": "stochastic math pr equation brownian diffusion mathbb math_pr processes equations process pr_year time cats_math_pr motion differential brownian_motion fractional math_pr_year random", "contrast_terms": "pr brownian math_pr processes process pr_year cats_math_pr brownian_motion math_pr_year random measure markov", "cluster_title": "math pr / pr year / cats math pr", "cohesion_mean_sim": 0.8443067669868469, "cohesion_p10_sim": 0.8138684630393982, "reps": [{"rep_rank": 1, "rep_sim": 0.8934176564216614, "chunk_id": "chunk_02713937", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 2713937, "text_preview": "The stochastic heat equation, 2D Toda equations and dynamics for the multilayer process We show that solutions of the stochastic heat equation driven by space-time white noise, although not smooth, meaningfully solve the two-dimensional Toda equations. Then by extending our arguments we show the time evolution of the multilayer process introduced by O'Connell and Warren is conjugate to a flow in"}, {"rep_rank": 2, "rep_sim": 0.889421284198761, "chunk_id": "chunk_00247082", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 247082, "text_preview": "Asymptotic limit of fully coupled multi-scale non-linear stochastic system: the non-autonomous approximation method In this paper, we develop a novel argument, the non-autonomous approximation method, to seek the asymptotic limits of the fully coupled multi-scale McKean-Vlasov stochastic systems with irregular coefficients, which, as summarized in [3,Section 7], remains an open problem in the fi"}, {"rep_rank": 3, "rep_sim": 0.8853467702865601, "chunk_id": "chunk_01398656", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 1398656, "text_preview": "Quasi-Gaussianity of the 2D stochastic Navier-Stokes equations We study the qualitative properties of solutions to the 2D stochastic Navier-Stokes equations with forcing that is white in time and coloured in space. Our main result shows that the unique invariant measure of this system is equivalent to that of the corresponding Ornstein-Uhlenbeck process. Our method relies on a generalization of"}]}, {"cluster_id": 76, "size": 23993, "avg_prob": 1.0, "supergroup_id": 2, "supergroup_top_terms": "cs based model data models learning performance time network training", "group_id": 1, "group_top_terms": "cs based data model models learning performance deep lg network", "top_terms": "graph learning networks graphs cs data based network neural node gnn lg models recommendation gnns methods datasets propose graph_neural model", "contrast_terms": "graph graphs node gnn gnns graph_neural item nodes embedding social structure representations", "cluster_title": "graph neural / graph / learning", "cohesion_mean_sim": 0.845009446144104, "cohesion_p10_sim": 0.8111997246742249, "reps": [{"rep_rank": 1, "rep_sim": 0.9055424928665161, "chunk_id": "chunk_00212685", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 212685, "text_preview": "Towards Graph Prompt Learning: A Survey and Beyond Large-scale \"pre-train and prompt learning\" paradigms have demonstrated remarkable adaptability, enabling broad applications across diverse domains such as question answering, image recognition, and multimodal retrieval. This approach fully leverages the potential of large-scale pre-trained models, reducing downstream data requirements and comput"}, {"rep_rank": 2, "rep_sim": 0.8997840285301208, "chunk_id": "chunk_00161451", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 161451, "text_preview": "LPFormer: An Adaptive Graph Transformer for Link Prediction Link prediction is a common task on graph-structured data that has seen applications in a variety of domains. Classically, hand-crafted heuristics were used for this task. Heuristic measures are chosen such that they correlate well with the underlying factors related to link formation. In recent years, a new class of methods has emerged"}, {"rep_rank": 3, "rep_sim": 0.8995591998100281, "chunk_id": "chunk_02238722", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 2238722, "text_preview": "Bilinear Graph Neural Network with Neighbor Interactions Graph Neural Network (GNN) is a powerful model to learn representations and make predictions on graph data. Existing efforts on GNN have largely defined the graph convolution as a weighted sum of the features of the connected nodes to form the representation of the target node. Nevertheless, the operation of weighted sum assumes the neighbo"}]}, {"cluster_id": 77, "size": 23966, "avg_prob": 1.0, "supergroup_id": 1, "supergroup_top_terms": "math mathbb space prove theory cats_math equation field group hep", "group_id": 3, "group_top_terms": "field hep theory quantum space th gauge gravity hep_th ph", "top_terms": "quantum math states ph quant hamiltonian mp systems operator equation operators space classical oscillator mechanics hamiltonians non system schr hermitian", "contrast_terms": "operator oscillator hamiltonians schr hermitian odinger math_ph ph_math body eigenvalues math_mp semiclassical", "cluster_title": "math ph / ph math / math mp", "cohesion_mean_sim": 0.8442184329032898, "cohesion_p10_sim": 0.8192490339279175, "reps": [{"rep_rank": 1, "rep_sim": 0.8885141015052795, "chunk_id": "chunk_02536342", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 2536342, "text_preview": "Correspondence principle for many-body scars in ultracold Rydberg atoms The theory of quantum scarring -- a remarkable violation of quantum unique ergodicity -- rests on two complementary pillars: the existence of unstable classical periodic orbits and the so-called quasimodes, i.e., the non-ergodic states that strongly overlap with a small number of the system's eigenstates. Recently, interest i"}, {"rep_rank": 2, "rep_sim": 0.8829859495162964, "chunk_id": "chunk_02531011", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 2531011, "text_preview": "Spectral Theorem approach to the Characteristic Function of Quantum Observables Using the spectral theorem we compute the Quantum Fourier Transform (or Vacuum Characteristic Function) $\\langle \\Phi, e^{itH}\\Phi\\rangle$ of an observable $H$ defined as a self-adjoint sum of the generators of a finite-dimensional Lie algebra, where $\\Phi$ is a unit vector in a Hilbert space $\\mathcal{H}$. We show h"}, {"rep_rank": 3, "rep_sim": 0.881268322467804, "chunk_id": "chunk_01994877", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 1994877, "text_preview": "The Attractor and the Quantum States The dissipative dynamics anticipated in the proof of 't Hooft's existence theorem -- \"For any quantum system there exists at least one deterministic model that reproduces all its dynamics after prequantization\" -- is constructed here explicitly. We propose a generalization of Liouville's classical phase space equation, incorporating dissipation and diffusion,"}]}, {"cluster_id": 78, "size": 23916, "avg_prob": 1.0, "supergroup_id": null, "supergroup_top_terms": "ph cond mat astro phase cond_mat field mass quantum states", "group_id": 5, "group_top_terms": "hep ph quark ex mass energy hep_ph nu boson cats_hep", "top_terms": "neutrino dark matter neutrinos hep nu ph ex energy detector dark_matter cosmic experiment mass sensitivity experiments 10 astro wimp data", "contrast_terms": "cosmic experiment sensitivity experiments astro wimp detectors reactor ray oscillation detection oscillations", "cluster_title": "dark matter / neutrino / dark", "cohesion_mean_sim": 0.828199028968811, "cohesion_p10_sim": 0.7966020703315735, "reps": [{"rep_rank": 1, "rep_sim": 0.8873736262321472, "chunk_id": "chunk_00801141", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 801141, "text_preview": "Search for millicharged particles in reactor neutrino experiments: a probe of the PVLAS anomaly It has been recently suggested that the vacuum magnetic dichroism observed by the PVLAS experiment could be explained by the pair production of a new light, m ~0.1 eV, millicharged, q ~ 3 10^{-6} e, fermions. In addition, it has been pointed out that millicharged particles with q > 10^{-9} e appear na"}, {"rep_rank": 2, "rep_sim": 0.8764559030532837, "chunk_id": "chunk_01854318", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 1854318, "text_preview": "Neutrino oscillations, global analysis and theta(13) At the previous Venice meeting NO-VE 2008, we discussed possible hints in favor of a nonzero value for the unknown neutrino mixing angle theta(13), emerging from the combination of solar and long-baseline reactor data, as well as from the combination of atmospheric, CHOOZ and long-baseline accelerator nu_mu->nu_mu data. Recent MINOS 2009 result"}, {"rep_rank": 3, "rep_sim": 0.8752518892288208, "chunk_id": "chunk_01813544", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 1813544, "text_preview": "Light new physics in coherent neutrino-nucleus scattering experiments Experiments aiming to detect coherent neutrino-nucleus scattering present opportunities to probe new light weakly-coupled states, such as sub-GeV mass dark matter, in several extensions of the Standard Model. These states can be produced along with neutrinos in the collisions of protons with the target, and their production rat"}]}, {"cluster_id": 79, "size": 23700, "avg_prob": 1.0, "supergroup_id": 2, "supergroup_top_terms": "cs based model data models learning performance time network training", "group_id": 1, "group_top_terms": "cs based data model models learning performance deep lg network", "top_terms": "bio cell protein model cells dna cats_bio gene dynamics stochastic cancer tumor models between time network molecular biological population interactions", "contrast_terms": "cell protein cells dna cats_bio gene dynamics molecular biological interactions reaction proteins", "cluster_title": "cats bio / bio / cell", "cohesion_mean_sim": 0.8168725371360779, "cohesion_p10_sim": 0.7795331478118896, "reps": [{"rep_rank": 1, "rep_sim": 0.8746354579925537, "chunk_id": "chunk_01850026", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 1850026, "text_preview": "Predictions from a stochastic polymer model for the MinDE dynamics in E.coli The spatiotemporal oscillations of the Min proteins in the bacterium Escherichia coli play an important role in cell division. A number of different models have been proposed to explain the dynamics from the underlying biochemistry. Here, we extend a previously described discrete polymer model from a deterministic to a"}, {"rep_rank": 2, "rep_sim": 0.874434232711792, "chunk_id": "chunk_02121187", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 2121187, "text_preview": "Universal protein fluctuations in populations of microorganisms The copy number of any protein fluctuates among cells in a population; characterizing and understanding these fluctuations is a fundamental problem in biophysics. We show here that protein distributions measured under a broad range of biological realizations collapse to a single non-Gaussian curve under scaling by the first two momen"}, {"rep_rank": 3, "rep_sim": 0.8723393082618713, "chunk_id": "chunk_02375262", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 2375262, "text_preview": "Stochastic modeling of auto-regulatory genetic feedback loops: a review and comparative study Auto-regulatory feedback loops are one of the most common network motifs. A wide variety of stochastic models have been constructed to understand how the fluctuations in protein numbers in these loops are influenced by the kinetic parameters of the main biochemical steps. These models differ according t"}]}, {"cluster_id": 80, "size": 23695, "avg_prob": 1.0, "supergroup_id": 1, "supergroup_top_terms": "math mathbb space prove theory cats_math equation field group hep", "group_id": 3, "group_top_terms": "field hep theory quantum space th gauge gravity hep_th ph", "top_terms": "field hep th gauge lorentz fields theory quantum hep_th relativistic scalar dirac ph symmetry space theories spin energy non maxwell", "contrast_terms": "electrodynamics electromagnetic qed noncommutative invariance lagrangian magnetic covariant massless transformation formulation deformed", "cluster_title": "hep th / field / hep", "cohesion_mean_sim": 0.8399319648742676, "cohesion_p10_sim": 0.8113804459571838, "reps": [{"rep_rank": 1, "rep_sim": 0.8831948041915894, "chunk_id": "chunk_02153272", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 2153272, "text_preview": "Time symmetric Bloch-Nordsieck infrared cancellation It is usually assumed that the infrared divergences that occur for virtual photons in Feynman diagrams cancel against the corresponding divergences in phase space integrals for the emission of real soft photons. If this were the case then why do the corresponding phase space integrals for the absorption of real soft photons not diverge too, as"}, {"rep_rank": 2, "rep_sim": 0.8798927068710327, "chunk_id": "chunk_01090980", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 1090980, "text_preview": "A New Type of Massive Spin-One Boson: and its Relation with Maxwell Equations First, we show that in the $(1,0)\\oplus(0,1)$ representation space there exist not one but two theories for charged particles. In the Weinberg construct, the boson and its antiboson carry {\\it same} relative intrinsic parity, whereas in our construct the relative intrinsic parities of the boson and its antiboson are {\\"}, {"rep_rank": 3, "rep_sim": 0.8777596950531006, "chunk_id": "chunk_01690154", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 1690154, "text_preview": "Remarks on nonlinear electrodynamics II We consider both massive Euler-Heisenberg-like and Euler-Heisenberg-like Electrodynamics in the approximation of the strong-field limit. Our analysis shows that massive Euler-Heisenberg-type Electrodynamics displays the vacuum birefringence phenomenon. Afterwards, we calculate the lowest-order modifications to the interaction energy for both classes of Elec"}]}, {"cluster_id": 81, "size": 23453, "avg_prob": 1.0, "supergroup_id": 2, "supergroup_top_terms": "cs based model data models learning performance time network training", "group_id": 9, "group_top_terms": "cs based model models data language learning human knowledge llms", "top_terms": "speech audio speaker cs sd eess cs_sd models recognition model training asr eess_year voice sound music based performance text learning", "contrast_terms": "speech speaker sd eess cs_sd asr eess_year voice sound music neural end", "cluster_title": "cs sd / eess year / speech", "cohesion_mean_sim": 0.8411320447921753, "cohesion_p10_sim": 0.8059393763542175, "reps": [{"rep_rank": 1, "rep_sim": 0.9078724384307861, "chunk_id": "chunk_00145224", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 145224, "text_preview": "Exploring Speech Recognition, Translation, and Understanding with Discrete Speech Units: A Comparative Study Speech signals, typically sampled at rates in the tens of thousands per second, contain redundancies, evoking inefficiencies in sequence modeling. High-dimensional speech features such as spectrograms are often used as the input for the subsequent model. However, they can still be redunda"}, {"rep_rank": 2, "rep_sim": 0.8962266445159912, "chunk_id": "chunk_00631919", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 631919, "text_preview": "Leveraging Pre-trained AudioLDM for Sound Generation: A Benchmark Study Deep neural networks have recently achieved breakthroughs in sound generation. Despite the outstanding sample quality, current sound generation models face issues on small-scale datasets (e.g., overfitting), significantly limiting performance. In this paper, we make the first attempt to investigate the benefits of pre-trainin"}, {"rep_rank": 3, "rep_sim": 0.8939498066902161, "chunk_id": "chunk_00606318", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 606318, "text_preview": "Unsupervised Improvement of Audio-Text Cross-Modal Representations Recent advances in using language models to obtain cross-modal audio-text representations have overcome the limitations of conventional training approaches that use predefined labels. This has allowed the community to make progress in tasks like zero-shot classification, which would otherwise not be possible. However, learning suc"}]}, {"cluster_id": 82, "size": 23289, "avg_prob": 1.0, "supergroup_id": 1, "supergroup_top_terms": "math mathbb space prove theory cats_math equation field group hep", "group_id": null, "group_top_terms": "math equation equations numerical system time ap boundary differential existence", "top_terms": "elastic shear soft stress fracture model strain cond mat materials material flow physics deformation granular mechanical surface cell numerical two", "contrast_terms": "elastic shear soft stress fracture strain materials material deformation granular mechanical cell", "cluster_title": "elastic / shear / soft", "cohesion_mean_sim": 0.8245931267738342, "cohesion_p10_sim": 0.7898504734039307, "reps": [{"rep_rank": 1, "rep_sim": 0.8807366490364075, "chunk_id": "chunk_00909646", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 909646, "text_preview": "Rheological instability in a simple shear thickening model We study the strain response to steady imposed stress in a spatially homogeneous, scalar model for shear thickening, in which the local rate of yielding \\Gamma(l) of mesoscopic `elastic elements' is not monotonic in the local strain l. Despite this, the macroscopic, steady-state flow curve (stress vs. strain rate) is monotonic. However, f"}, {"rep_rank": 2, "rep_sim": 0.8762571215629578, "chunk_id": "chunk_01421492", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 1421492, "text_preview": "A nonlinear homogenization-based perspective on the soft modes and effective energies of some conformal metamaterials There is a growing mechanics literature concerning the macroscopic properties of mechanism-based mechanical metamaterials. This amounts mathematically to a homogenization problem involving nonlinear elasticity. A key goal is to identify the \"soft modes\" of the metamaterial. We ach"}, {"rep_rank": 3, "rep_sim": 0.8741612434387207, "chunk_id": "chunk_02136567", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 2136567, "text_preview": "Statistical distributions in the folding of elastic structures The behaviour of elastic structures undergoing large deformations is the result of the competition between confining conditions, self-avoidance and elasticity. This combination of multiple phenomena creates a geometrical frustration that leads to complex fold patterns. By studying the case of a rod confined isotropically into a disk,"}]}, {"cluster_id": 83, "size": 22385, "avg_prob": 1.0, "supergroup_id": 2, "supergroup_top_terms": "cs based model data models learning performance time network training", "group_id": 1, "group_top_terms": "cs based data model models learning performance deep lg network", "top_terms": "model financial fin risk market models price stat regression time volatility data prices markets estimation distribution stock st under forecasting", "contrast_terms": "financial fin market price volatility prices markets stock bootstrap asymptotic cats_fin factor", "cluster_title": "cats fin / model / financial", "cohesion_mean_sim": 0.8158749938011169, "cohesion_p10_sim": 0.769645631313324, "reps": [{"rep_rank": 1, "rep_sim": 0.878765881061554, "chunk_id": "chunk_00409610", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 409610, "text_preview": "Large Hybrid Time-Varying Parameter VARs Time-varying parameter VARs with stochastic volatility are routinely used for structural analysis and forecasting in settings involving a few endogenous variables. Applying these models to high-dimensional datasets has proved to be challenging due to intensive computations and over-parameterization concerns. We develop an efficient Bayesian sparsification"}, {"rep_rank": 2, "rep_sim": 0.8764235973358154, "chunk_id": "chunk_00048404", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 48404, "text_preview": "Stable Reduced-Rank VAR Identification The vector autoregression (VAR) has been widely used in system identification, econometrics, natural science, and many other areas. However, when the state dimension becomes large the parameter dimension explodes. So rank reduced modelling is attractive and is well developed. But a fundamental requirement in almost all applications is stability of the fitted"}, {"rep_rank": 3, "rep_sim": 0.8729125261306763, "chunk_id": "chunk_01756597", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 1756597, "text_preview": "Estimation of slowly decreasing Hawkes kernels: Application to high frequency order book modelling We present a modified version of the non parametric Hawkes kernel estimation procedure studied in arXiv:1401.0903 that is adapted to slowly decreasing kernels. We show on numerical simulations involving a reasonable number of events that this method allows us to estimate faithfully a power-law decr"}]}, {"cluster_id": 84, "size": 22092, "avg_prob": 1.0, "supergroup_id": 1, "supergroup_top_terms": "math mathbb space prove theory cats_math equation field group hep", "group_id": null, "group_top_terms": "math equation equations numerical system time ap boundary differential existence", "top_terms": "equation solutions equations math nonlinear schr differential ap odinger solution nlin mp system partial math_ap problem mathbb existence wave schr_odinger", "contrast_terms": "schr odinger mp schr_odinger integrable hamiltonian nonlinear_schr potential si critical math_ph nlin_si", "cluster_title": "math ap / schr odinger / nonlinear schr", "cohesion_mean_sim": 0.8340765237808228, "cohesion_p10_sim": 0.8008326888084412, "reps": [{"rep_rank": 1, "rep_sim": 0.8837461471557617, "chunk_id": "chunk_00241758", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 241758, "text_preview": "Multiple Normalized Solutions to a Class of Modified Quasilinear Schrodinger Equations Schrodinger Equations We investigate the existence, non-existence, and multiplicity of positive solutions to a class of quasilinear Schrodinger equations with a prescribed mass condition in higher dimensions. Using the dual approach, the equation is transformed into a corresponding semilinear form. A global br"}, {"rep_rank": 2, "rep_sim": 0.8802809119224548, "chunk_id": "chunk_00493257", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 493257, "text_preview": "Logarithmic Schr{\\\"o}dinger equation with quadratic potential We analyze dynamical properties of the logarithmic Schr{\\\"o}dinger equation under a quadratic potential. The sign of the nonlinearity is such that it is known that in the absence of external potential, every solution is dispersive, with a universal asymptotic profile. The introduction of a harmonic potential generates solitary waves, c"}, {"rep_rank": 3, "rep_sim": 0.879229724407196, "chunk_id": "chunk_00949545", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 949545, "text_preview": "Bi- and trilinear Schroedinger estimates in one space dimension with applications to cubic NLS and DNLS The Fourier transforms of the products of two respectively three solutions of the free Schroedinger equation in one space dimension are estimated in mixed and, in the first case weighted, L^p - norms. Inserted into an appropriate variant of the Fourier restriction norm method, these estimates"}]}, {"cluster_id": 85, "size": 21920, "avg_prob": 1.0, "supergroup_id": null, "supergroup_top_terms": "ph cond mat astro phase cond_mat field mass quantum states", "group_id": 8, "group_top_terms": "cond mat cond_mat quantum field phase spin ph state states", "top_terms": "water dna mat cond membrane molecular bio physics soft protein molecules force surface properties proteins drug mat_soft ph particles cond_mat", "contrast_terms": "water dna membrane bio protein proteins drug ice nanoparticles cells concentration dfs", "cluster_title": "mat soft / cond mat / water", "cohesion_mean_sim": 0.7981007099151611, "cohesion_p10_sim": 0.7465041875839233, "reps": [{"rep_rank": 1, "rep_sim": 0.8609870672225952, "chunk_id": "chunk_02813729", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 2813729, "text_preview": "Salt-dependent rheology and surface tension of protein condensates using optical traps An increasing number of proteins with intrinsically disordered domains have been shown to phase separate in buffer to form liquid-like phases. These protein condensates serve as simple models for the investigation of the more complex membrane-less organelles in cells. To understand the function of such protein"}, {"rep_rank": 2, "rep_sim": 0.8515896797180176, "chunk_id": "chunk_02524335", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 2524335, "text_preview": "Enhanced force-field calibration via machine learning The influence of microscopic force fields on the motion of Brownian particles plays a fundamental role in a broad range of fields, including soft matter, biophysics, and active matter. Often, the experimental calibration of these force fields relies on the analysis of the trajectories of these Brownian particles. However, such an analysis is n"}, {"rep_rank": 3, "rep_sim": 0.8493353128433228, "chunk_id": "chunk_00710977", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 710977, "text_preview": "Influence of ionic conditions on knotting in a coarse-grained model for DNA We investigate knotting probabilities of long double-stranded DNA strands in a coarse-grained Kratky-Porod model for DNA with Monte Carlo simulations. Various ionic conditions are implemented by adjusting the effective diameter of monomers. We find that the occurrence of knots in DNA can be reinforced considerably by hig"}]}, {"cluster_id": 86, "size": 21850, "avg_prob": 1.0, "supergroup_id": 2, "supergroup_top_terms": "cs based model data models learning performance time network training", "group_id": 7, "group_top_terms": "cs problem time based model network optimal algorithm algorithms math", "top_terms": "optimization gradient convergence convex algorithm problems oc method descent na math matrix algorithms problem stochastic linear methods rank cs math_oc", "contrast_terms": "gradient descent na methods rank nonconvex solving minimization functions optimization_problems proximal numerical", "cluster_title": "math oc / optimization problems / optimization", "cohesion_mean_sim": 0.8529396057128906, "cohesion_p10_sim": 0.8247930407524109, "reps": [{"rep_rank": 1, "rep_sim": 0.9001731872558594, "chunk_id": "chunk_02950934", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 2950934, "text_preview": "Line Search and Trust-Region Methods for Convex-Composite Optimization We consider descent methods for solving non-finite valued nonsmooth convex-composite optimization problems that employ Gauss-Newton subproblems to determine the iteration update. Specifically, we establish the global convergence properties for descent methods that use a backtracking line search, a weak Wolfe line search, or a"}, {"rep_rank": 2, "rep_sim": 0.8978644609451294, "chunk_id": "chunk_01430175", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 1430175, "text_preview": "On Tackling High-Dimensional Nonconvex Stochastic Optimization via Stochastic First-Order Methods with Non-smooth Proximal Terms and Variance Reduction When the nonconvex problem is complicated by stochasticity, the sample complexity of stochastic first-order methods may depend linearly on the problem dimension, which is undesirable for large-scale problems. To alleviate this linear dependence, w"}, {"rep_rank": 3, "rep_sim": 0.897132933139801, "chunk_id": "chunk_00103634", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 103634, "text_preview": "Invex Programs: First Order Algorithms and Their Convergence Invex programs are a special kind of non-convex problems which attain global minima at every stationary point. While classical first-order gradient descent methods can solve them, they converge very slowly. In this paper, we propose new first-order algorithms to solve the general class of invex problems. We identify sufficient condition"}]}, {"cluster_id": 87, "size": 21462, "avg_prob": 1.0, "supergroup_id": 2, "supergroup_top_terms": "cs based model data models learning performance time network training", "group_id": 7, "group_top_terms": "cs problem time based model network optimal algorithm algorithms math", "top_terms": "algorithm problem optimization algorithms cs problems optimal regret time online instances set games objective each based scheduling multi oc setting", "contrast_terms": "regret online instances setting solve competitive bandits fairness solutions selection submodular bandit", "cluster_title": "algorithm / problem / optimization", "cohesion_mean_sim": 0.8292179703712463, "cohesion_p10_sim": 0.7928525805473328, "reps": [{"rep_rank": 1, "rep_sim": 0.8877205848693848, "chunk_id": "chunk_02342855", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 2342855, "text_preview": "Semi-bandit Optimization in the Dispersed Setting The goal of data-driven algorithm design is to obtain high-performing algorithms for specific application domains using machine learning and data. Across many fields in AI, science, and engineering, practitioners will often fix a family of parameterized algorithms and then optimize those parameters to obtain good performance on example instances f"}, {"rep_rank": 2, "rep_sim": 0.883746862411499, "chunk_id": "chunk_00558853", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 558853, "text_preview": "Online Algorithms with Randomly Infused Advice We introduce a novel method for the rigorous quantitative evaluation of online algorithms that relaxes the \"radical worst-case\" perspective of classic competitive analysis. In contrast to prior work, our method, referred to as randomly infused advice (RIA), does not make any probabilistic assumptions about the input sequence and does not rely on the"}, {"rep_rank": 3, "rep_sim": 0.8804949522018433, "chunk_id": "chunk_00374094", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 374094, "text_preview": "Online Learning to Transport via the Minimal Selection Principle Motivated by robust dynamic resource allocation in operations research, we study the \\textit{Online Learning to Transport} (OLT) problem where the decision variable is a probability measure, an infinite-dimensional object. We draw connections between online learning, optimal transport, and partial differential equations through an i"}]}, {"cluster_id": 88, "size": 21258, "avg_prob": 1.0, "supergroup_id": 2, "supergroup_top_terms": "cs based model data models learning performance time network training", "group_id": 1, "group_top_terms": "cs based data model models learning performance deep lg network", "top_terms": "data learning forecasting prediction traffic time series cs model models time_series neural network based lg performance deep networks temporal methods", "contrast_terms": "traffic lstm load patterns urban term accurate fault driven road smart drift", "cluster_title": "time series / data / learning", "cohesion_mean_sim": 0.8200324773788452, "cohesion_p10_sim": 0.7836978435516357, "reps": [{"rep_rank": 1, "rep_sim": 0.8896440267562866, "chunk_id": "chunk_01255854", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 1255854, "text_preview": "ModelRadar: Aspect-based Forecast Evaluation Accurate evaluation of forecasting models is essential for ensuring reliable predictions. Current practices for evaluating and comparing forecasting models focus on summarising performance into a single score, using metrics such as SMAPE. While convenient, averaging performance over all samples dilutes relevant information about model behavior under va"}, {"rep_rank": 2, "rep_sim": 0.8759602904319763, "chunk_id": "chunk_02624482", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 2624482, "text_preview": "Practical Processing of Mobile Sensor Data for Continual Deep Learning Predictions We present a practical approach for processing mobile sensor time series data for continual deep learning predictions. The approach comprises data cleaning, normalization, capping, time-based compression, and finally classification with a recurrent neural network. We demonstrate the effectiveness of the approach i"}, {"rep_rank": 3, "rep_sim": 0.8736501932144165, "chunk_id": "chunk_01401402", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 1401402, "text_preview": "Still Competitive: Revisiting Recurrent Models for Irregular Time Series Prediction Modeling irregularly sampled multivariate time series is a persistent challenge in domains like healthcare and sensor networks. While recent works have explored a variety of complex learning architectures to solve the prediction problems for irregularly sampled time series, it remains unclear what are the true ben"}]}, {"cluster_id": 89, "size": 21258, "avg_prob": 1.0, "supergroup_id": 2, "supergroup_top_terms": "cs based model data models learning performance time network training", "group_id": 1, "group_top_terms": "cs based data model models learning performance deep lg network", "top_terms": "data eeg learning brain disease clinical classification cs machine models health ecg based using performance analysis deep patient patients model", "contrast_terms": "eeg ecg healthcare sleep care heart pain facial activity ehr food research", "cluster_title": "data / eeg / learning", "cohesion_mean_sim": 0.807643711566925, "cohesion_p10_sim": 0.7587389349937439, "reps": [{"rep_rank": 1, "rep_sim": 0.8774383664131165, "chunk_id": "chunk_00026243", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 26243, "text_preview": "On the Importance of Step-wise Embeddings for Heterogeneous Clinical Time-Series Recent advances in deep learning architectures for sequence modeling have not fully transferred to tasks handling time-series from electronic health records. In particular, in problems related to the Intensive Care Unit (ICU), the state-of-the-art remains to tackle sequence classification in a tabular manner with tr"}, {"rep_rank": 2, "rep_sim": 0.8659835457801819, "chunk_id": "chunk_00189459", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 189459, "text_preview": "EEG Emotion Copilot: Optimizing Lightweight LLMs for Emotional EEG Interpretation with Assisted Medical Record Generation In the fields of affective computing (AC) and brain-machine interface (BMI), the analysis of physiological and behavioral signals to discern individual emotional states has emerged as a critical research frontier. While deep learning-based approaches have made notable strides"}, {"rep_rank": 3, "rep_sim": 0.8637474179267883, "chunk_id": "chunk_00563033", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 563033, "text_preview": "Transfer Knowledge from Natural Language to Electrocardiography: Can We Detect Cardiovascular Disease Through Language Models? Recent advancements in Large Language Models (LLMs) have drawn increasing attention since the learned embeddings pretrained on large-scale datasets have shown powerful ability in various downstream applications. However, whether the learned knowledge by LLMs can be trans"}]}, {"cluster_id": 90, "size": 21166, "avg_prob": 1.0, "supergroup_id": 2, "supergroup_top_terms": "cs based model data models learning performance time network training", "group_id": 7, "group_top_terms": "cs problem time based model network optimal algorithm algorithms math", "top_terms": "networks network social nodes random soc model community degree dynamics opinion graphs si complex soc_ph physics_soc world node time physics", "contrast_terms": "soc community opinion si complex soc_ph physics_soc world node physics spreading small_world", "cluster_title": "soc ph / physics soc / small world", "cohesion_mean_sim": 0.8432791233062744, "cohesion_p10_sim": 0.8025315999984741, "reps": [{"rep_rank": 1, "rep_sim": 0.8993837833404541, "chunk_id": "chunk_00922770", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 922770, "text_preview": "Emergence of clustering, correlations, and communities in a social network model We propose a simple model of social network formation that parameterizes the tendency to establish acquaintances by the relative distance in a representative social space. By means of analytical calculations and numerical simulations, we show that the model reproduces the main characteristics of real social networks"}, {"rep_rank": 2, "rep_sim": 0.8985739946365356, "chunk_id": "chunk_02383704", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 2383704, "text_preview": "Finding the right scale of a network: Efficient identification of causal emergence through spectral clustering All networks can be analyzed at multiple scales. A higher scale of a network is made up of macro-nodes: subgraphs that have been grouped into individual nodes. Recasting a network at higher scales can have useful effects, such as decreasing the uncertainty in the movement of random walk"}, {"rep_rank": 3, "rep_sim": 0.8940575122833252, "chunk_id": "chunk_01245272", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 1245272, "text_preview": "Local Limits of Small World Networks Small-world networks, known for their high local clustering and short average path lengths, are a fundamental structure in many real-world systems, including social, biological, and technological networks. We apply the theory of local convergence (Benjamini-Schramm convergence) to derive the limiting behavior of the local structures for two of the most commonl"}]}, {"cluster_id": 91, "size": 20780, "avg_prob": 1.0, "supergroup_id": 1, "supergroup_top_terms": "math mathbb space prove theory cats_math equation field group hep", "group_id": 3, "group_top_terms": "field hep theory quantum space th gauge gravity hep_th ph", "top_terms": "gravity ads hep th theory entropy black holographic conformal quantum entanglement cft hep_th field theories boundary gauge brane cats_hep_th dimensional", "contrast_terms": "holographic entanglement cft entanglement_entropy bulk quantum_gravity finite effective temperature ads_cft renormalization critical", "cluster_title": "hep th / cats hep th / entanglement entropy", "cohesion_mean_sim": 0.8551904559135437, "cohesion_p10_sim": 0.8354973196983337, "reps": [{"rep_rank": 1, "rep_sim": 0.8927403688430786, "chunk_id": "chunk_01038745", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 1038745, "text_preview": "Microscopic Entropy of Non-dilatonic Branes: a 2D approach We investigate non-dilatonic p-branes in the near-extremal, near-horizon regime. A two-dimensional gravity model, obtained from dimensional reduction, gives an effective description of the brane. We show that the AdS_p+2/CFT_p+1 correspondence at finite temperature admits an effective description in terms of a AdS_2/CFT_1 duality endowed"}, {"rep_rank": 2, "rep_sim": 0.8923677206039429, "chunk_id": "chunk_01764483", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 1764483, "text_preview": "A perturbative study on the analytic continuation for generalized gravitational entropy We study the analytic continuation used by Lewkowycz and Maldacena to prove the Ryu-Takayanagi formula for entanglement entropy, which is the holographic dual of the trace of the $\\beta$-power of the time evolution operator when $\\beta\\in \\mathbb{R}$. This will be done perturbatively by using a weakly time de"}, {"rep_rank": 3, "rep_sim": 0.8909457921981812, "chunk_id": "chunk_01727437", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 1727437, "text_preview": "A Neumann Boundary Term for Gravity The Gibbons-Hawking-York (GHY) boundary term makes the Dirichlet problem for gravity well defined, but no such general term seems to be known for Neumann boundary conditions. In this paper, we view Neumann {\\em not} as fixing the normal derivative of the metric (\"velocity\") at the boundary, but as fixing the functional derivative of the action with respect to t"}]}, {"cluster_id": 92, "size": 20240, "avg_prob": 1.0, "supergroup_id": 1, "supergroup_top_terms": "math mathbb space prove theory cats_math equation field group hep", "group_id": 3, "group_top_terms": "field hep theory quantum space th gauge gravity hep_th ph", "top_terms": "quantum physics mechanics ph quant theory time classical quantum_mechanics quant_ph energy measurement space year physical id cats hist particles one", "contrast_terms": "measurement hist causal ph_year information bohmian mathematical some theorem experiment gen quant_ph_year", "cluster_title": "quantum mechanics / quant ph / ph year", "cohesion_mean_sim": 0.7992721796035767, "cohesion_p10_sim": 0.7388384342193604, "reps": [{"rep_rank": 1, "rep_sim": 0.8909300565719604, "chunk_id": "chunk_01565758", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 1565758, "text_preview": "Clocks And Dynamics In Quantum Mechanics We argue that (1) our perception of time through change and (2) the gap between reality and our observation of it are at the heart of both quantum mechanics and the dynamical mechanism of physical systems. We suggest that the origin of quantum uncertainty lies with the absence of infinities or infinitesimals in observational data and that our concept of ti"}, {"rep_rank": 2, "rep_sim": 0.8861555457115173, "chunk_id": "chunk_02782286", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 2782286, "text_preview": "Persistence and Nonpersistence as Complementary Models of Identical Quantum Particles According to our understanding of the everyday physical world, observable phenomena are underpinned by persistent objects that can be reidentified (or tracked) across time by observation of their distinctive properties. This understanding is reflected in classical mechanics, which posits that matter consists of"}, {"rep_rank": 3, "rep_sim": 0.8810651898384094, "chunk_id": "chunk_00982397", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 982397, "text_preview": "Bohmian Mechanics Revisited We consider the problem of whether there are deterministic theories describing the evolution of an individual physical system in terms of the definite trajectories of its constituent particles and which stay in the same relation to Quantum Mechanics as Bohmian Mechanics but which differ from the latter for what concerns the trajectories followed by the particles. Obvio"}]}, {"cluster_id": 93, "size": 20196, "avg_prob": 1.0, "supergroup_id": 2, "supergroup_top_terms": "cs based model data models learning performance time network training", "group_id": 7, "group_top_terms": "cs problem time based model network optimal algorithm algorithms math", "top_terms": "optimal game market games price agents players fin equilibrium problem utility player risk stochastic model nash econ gt pricing information", "contrast_terms": "game market price fin equilibrium utility risk nash econ pricing strategies portfolio", "cluster_title": "optimal / game / market", "cohesion_mean_sim": 0.8208635449409485, "cohesion_p10_sim": 0.7789365649223328, "reps": [{"rep_rank": 1, "rep_sim": 0.8854123950004578, "chunk_id": "chunk_01205794", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 1205794, "text_preview": "Statistical Equilibrium of Optimistic Beliefs We study finite normal-form games in which payoffs are subject to random perturbations and players face uncertainty about how these shocks co-move across actions, an ambiguity that naturally arises when only realized (not counterfactual) payoffs are observed. We introduce the Statistical Equilibrium of Optimistic Beliefs (SE-OB), inspired by discrete"}, {"rep_rank": 2, "rep_sim": 0.8819942474365234, "chunk_id": "chunk_00484612", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 484612, "text_preview": "Learning Equilibria in Matching Markets from Bandit Feedback Large-scale, two-sided matching platforms must find market outcomes that align with user preferences while simultaneously learning these preferences from data. Classical notions of stability (Gale and Shapley, 1962; Shapley and Shubik, 1971) are unfortunately of limited value in the learning setting, given that preferences are inherentl"}, {"rep_rank": 3, "rep_sim": 0.875636637210846, "chunk_id": "chunk_02810511", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 2810511, "text_preview": "Dynkin games with incomplete and asymmetric information We study the value and the optimal strategies for a two-player zero-sum optimal stopping game with incomplete and asymmetric information. In our Bayesian set-up, the drift of the underlying diffusion process is unknown to one player (incomplete information feature), but known to the other one (asymmetric information feature). We formulate th"}]}, {"cluster_id": 94, "size": 19854, "avg_prob": 1.0, "supergroup_id": 1, "supergroup_top_terms": "math mathbb space prove theory cats_math equation field group hep", "group_id": null, "group_top_terms": "math equation equations numerical system time ap boundary differential existence", "top_terms": "nlin dynamics system chaotic systems periodic synchronization bifurcation time model cd orbits dynamical chaos phase oscillators math delay nlin_cd noise", "contrast_terms": "chaotic synchronization bifurcation cd orbits dynamical chaos oscillators delay nlin_cd state ds", "cluster_title": "nlin cd / nlin / dynamics", "cohesion_mean_sim": 0.8328037261962891, "cohesion_p10_sim": 0.7975270748138428, "reps": [{"rep_rank": 1, "rep_sim": 0.8846341371536255, "chunk_id": "chunk_00267659", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 267659, "text_preview": "Rigorous enclosure of Lyapunov exponents of stochastic flows We develop a powerful and general method to provide rigorous and accurate upper and lower bounds for Lyapunov exponents of stochastic flows. Our approach is based on computer-assisted tools, the adjoint method and established results on the ergodicity of diffusion processes. We do not require any structural assumptions on the stochastic"}, {"rep_rank": 2, "rep_sim": 0.8829541206359863, "chunk_id": "chunk_00361103", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 361103, "text_preview": "Continuum limit of the adaptive Kuramoto model We investigate the dynamics of the adaptive Kuramoto model with slow adaptation in the continuum limit, $N\\to\\infty$. This model is distinguished by dense multistability, where multiple states coexist for the same system parameters. The underlying cause of this multistability is that some oscillators can lock at different phases or switch between loc"}, {"rep_rank": 3, "rep_sim": 0.8821326494216919, "chunk_id": "chunk_00134184", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 134184, "text_preview": "Coalescence of limit cycles in the presence of noise Complex dynamical systems may exhibit multiple steady states, including time-periodic limit cycles, where the final trajectory depends on initial conditions. With tuning of parameters, limit cycles can proliferate or merge at an exceptional point. Here we ask how dynamics in the vicinity of such a bifurcation are influenced by noise. A pitchfor"}]}, {"cluster_id": 95, "size": 19515, "avg_prob": 1.0, "supergroup_id": 2, "supergroup_top_terms": "cs based model data models learning performance time network training", "group_id": 1, "group_top_terms": "cs based data model models learning performance deep lg network", "top_terms": "sparse method data signal matrix reconstruction problem inverse noise cs algorithm recovery na regularization problems proposed time estimation linear gaussian", "contrast_terms": "sparse matrix inverse recovery na regularization problems inversion sparsity inverse_problems numerical sensing", "cluster_title": "inverse problems / sparse / method", "cohesion_mean_sim": 0.8385851383209229, "cohesion_p10_sim": 0.8027335405349731, "reps": [{"rep_rank": 1, "rep_sim": 0.8958835601806641, "chunk_id": "chunk_01600845", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 1600845, "text_preview": "Tight Sufficient Conditions on Exact Sparsity Pattern Recovery A noisy underdetermined system of linear equations is considered in which a sparse vector (a vector with a few nonzero elements) is subject to measurement. The measurement matrix elements are drawn from a Gaussian distribution. We study the information-theoretic constraints on exact support recovery of a sparse vector from the measure"}, {"rep_rank": 2, "rep_sim": 0.8923174142837524, "chunk_id": "chunk_01899322", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 1899322, "text_preview": "On Unbiased Estimation of Sparse Vectors Corrupted by Gaussian Noise We consider the estimation of a sparse parameter vector from measurements corrupted by white Gaussian noise. Our focus is on unbiased estimation as a setting under which the difficulty of the problem can be quantified analytically. We show that there are infinitely many unbiased estimators but none of them has uniformly minimum"}, {"rep_rank": 3, "rep_sim": 0.8877180814743042, "chunk_id": "chunk_00571361", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 571361, "text_preview": "The greedy side of the LASSO: New algorithms for weighted sparse recovery via loss function-based orthogonal matching pursuit We propose a class of greedy algorithms for weighted sparse recovery by considering new loss function-based generalizations of Orthogonal Matching Pursuit (OMP). Given a (regularized) loss function, the proposed algorithms alternate the iterative construction of the signa"}]}, {"cluster_id": 96, "size": 18283, "avg_prob": 1.0, "supergroup_id": 2, "supergroup_top_terms": "cs based model data models learning performance time network training", "group_id": 7, "group_top_terms": "cs problem time based model network optimal algorithm algorithms math", "top_terms": "codes channel decoding coding rate relay channels math_year capacity cs_math cs optimal information network scheme cats_cs_math math cs_math_year communication code", "contrast_terms": "codes decoding coding relay capacity cs_math cats_cs_math cs_math_year code message error receiver", "cluster_title": "math year / cs math / cats cs math", "cohesion_mean_sim": 0.8341306447982788, "cohesion_p10_sim": 0.8010663986206055, "reps": [{"rep_rank": 1, "rep_sim": 0.8949670195579529, "chunk_id": "chunk_00748448", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 748448, "text_preview": "Optimal Distortion-Power Tradeoffs in Sensor Networks: Gauss-Markov Random Processes We investigate the optimal performance of dense sensor networks by studying the joint source-channel coding problem. The overall goal of the sensor network is to take measurements from an underlying random process, code and transmit those measurement samples to a collector node in a cooperative multiple access c"}, {"rep_rank": 2, "rep_sim": 0.8878011107444763, "chunk_id": "chunk_00232049", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 232049, "text_preview": "Many-User Multiple Access with Random User Activity: Achievability Bounds and Efficient Schemes We study the Gaussian multiple access channel with random user activity, in the regime where the number of users is proportional to the code length. The receiver may know some statistics about the number of active users, but does not know the exact number nor the identities of the active users. We deri"}, {"rep_rank": 3, "rep_sim": 0.8843623399734497, "chunk_id": "chunk_01760328", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 1760328, "text_preview": "Finite-SNR Bounds on the Sum-Rate Capacity of Rayleigh Block-Fading Multiple-Access Channels with no a Priori CSI We provide nonasymptotic upper and lower bounds on the sum-rate capacity of Rayleigh block-fading multiple-access channels for the setup where a priori channel state information is not available. The upper bound relies on a dual formula for channel capacity and on the assumption that"}]}, {"cluster_id": 97, "size": 17532, "avg_prob": 1.0, "supergroup_id": 2, "supergroup_top_terms": "cs based model data models learning performance time network training", "group_id": 1, "group_top_terms": "cs based data model models learning performance deep lg network", "top_terms": "memory hardware cs performance data processing gpu computing design workloads ar fpga high systems gpus architecture dc based system execution", "contrast_terms": "hardware processing gpu computing workloads ar fpga gpus dc execution cs_ar parallel", "cluster_title": "cs ar / memory / hardware", "cohesion_mean_sim": 0.826790452003479, "cohesion_p10_sim": 0.7857227921485901, "reps": [{"rep_rank": 1, "rep_sim": 0.8798312544822693, "chunk_id": "chunk_00606899", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 606899, "text_preview": "Morpheus unleashed: Fast cross-platform SpMV on emerging architectures Sparse matrices and linear algebra are at the heart of scientific simulations. Over the years, more than 70 sparse matrix storage formats have been developed, targeting a wide range of hardware architectures and matrix types, each of which exploit the particular strengths of an architecture, or the specific sparsity patterns o"}, {"rep_rank": 2, "rep_sim": 0.8749207258224487, "chunk_id": "chunk_00227525", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 227525, "text_preview": "Vortex: Efficient Sample-Free Dynamic Tensor Program Optimization via Hardware-aware Strategy Space Hierarchization Dynamic-shape deep neural networks (DNNs) are rapidly evolving, attracting attention for their ability to handle variable input sizes in real-time applications. However, existing compilation optimization methods for such networks often rely heavily on predefined samples to guide th"}, {"rep_rank": 3, "rep_sim": 0.8746179342269897, "chunk_id": "chunk_00338383", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 338383, "text_preview": "Deeploy: Enabling Energy-Efficient Deployment of Small Language Models On Heterogeneous Microcontrollers With the rise of Embodied Foundation Models (EFMs), most notably Small Language Models (SLMs), adapting Transformers for edge applications has become a very active field of research. However, achieving end-to-end deployment of SLMs on microcontroller (MCU)-class chips without high-bandwidth o"}]}, {"cluster_id": 98, "size": 16271, "avg_prob": 1.0, "supergroup_id": 2, "supergroup_top_terms": "cs based model data models learning performance time network training", "group_id": 1, "group_top_terms": "cs based data model models learning performance deep lg network", "top_terms": "climate data model physics models water carbon spatial land weather global ice time energy ao analysis using forecasting ocean based", "contrast_terms": "climate water carbon land weather global ice ao ocean ph atmospheric physics_ao", "cluster_title": "physics ao / climate / data", "cohesion_mean_sim": 0.8009350299835205, "cohesion_p10_sim": 0.7516868114471436, "reps": [{"rep_rank": 1, "rep_sim": 0.8758026957511902, "chunk_id": "chunk_01386481", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 1386481, "text_preview": "Hybrid Physics-ML Framework for Pan-Arctic Permafrost Infrastructure Risk at Record 2.9-Million Observation Scale Arctic warming threatens over 100 billion in permafrost-dependent infrastructure across Northern territories, yet existing risk assessment frameworks lack spatiotemporal validation, uncertainty quantification, and operational decision-support capabilities. We present a hybrid physics-"}, {"rep_rank": 2, "rep_sim": 0.8735040426254272, "chunk_id": "chunk_00073628", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 73628, "text_preview": "ChaosBench: A Multi-Channel, Physics-Based Benchmark for Subseasonal-to-Seasonal Climate Prediction Accurate prediction of climate in the subseasonal-to-seasonal scale is crucial for disaster preparedness and robust decision making amidst climate change. Yet, forecasting beyond the weather timescale is challenging because it deals with problems other than initial condition, including boundary in"}, {"rep_rank": 3, "rep_sim": 0.8689867258071899, "chunk_id": "chunk_00203933", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 203933, "text_preview": "Multiscale Multi-Type Spatial Bayesian Analysis for High-Dimensional Data with Application to Wildfires and Migration Wildfires have significantly increased in the United States (U.S.), making certain areas harder to live in. This motivates us to jointly analyze active fires and population changes in the U.S. from July 2020 to June 2021. The available data are recorded on different scales (or sp"}]}, {"cluster_id": 99, "size": 15513, "avg_prob": 1.0, "supergroup_id": null, "supergroup_top_terms": "ph cond mat astro phase cond_mat field mass quantum states", "group_id": 2, "group_top_terms": "light optical phase physics beam cats_physics frequency high laser optics", "top_terms": "imaging optics physics optical resolution light physics_optics image method diffraction phase scattering optics_year using based intensity beam reconstruction cats_physics field", "contrast_terms": "imaging image method diffraction scattering reconstruction microscopy spatial images 3d object oct", "cluster_title": "physics optics / optics year / cats physics", "cohesion_mean_sim": 0.8156019449234009, "cohesion_p10_sim": 0.7714047431945801, "reps": [{"rep_rank": 1, "rep_sim": 0.8756881952285767, "chunk_id": "chunk_02449166", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 2449166, "text_preview": "Ptychographic wavefront characterisation for single-particle imaging at X-ray lasers A well-characterised wavefront is important for many X-ray free-electron laser (XFEL) experiments, especially for single-particle imaging (SPI), where individual bio-molecules randomly sample a nanometer-region of highly-focused femtosecond pulses. We demonstrate high-resolution multiple-plane wavefront imaging"}, {"rep_rank": 2, "rep_sim": 0.8707811236381531, "chunk_id": "chunk_02691195", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 2691195, "text_preview": "Transmission-matrix-based point-spread-function engineering through a complex medium We report a method to design at will the spatial profile of transmitted coherent light after propagation through a scattering sample. We compute an operator based on the experimentally measured transmission matrix, obtained by numerically adding an arbitrary mask in the Fourier domain prior to focusing. We demon"}, {"rep_rank": 3, "rep_sim": 0.8695838451385498, "chunk_id": "chunk_00143028", "doc_id": "doc_000000", "source_file": "/content/TEXT/chunks(1).parquet", "order_index": 143028, "text_preview": "Mirror Symmetry in three-dimensional Multiple-Scattering Media We investigate the effect of a mirror-symmetry plane in multiple-scattering media under plane-wave illumination along the symmetry plane. Designed and fabricated samples' optical transport properties are compared quantitatively with three-dimensional modeling. Strong polarization-dependent deviations of the bulk speckle-averaged inten"}]}]};
const metaEl = document.getElementById('meta');
const rowsEl = document.getElementById('rows');
const qEl = document.getElementById('q');
function esc(s) {
return String(s).replace(/&/g,'&').replace(/</g,'<').replace(/>/g,'>').replace(/"/g,'"').replace(/'/g,''');
}
function render(filter) {
const q = (filter || '').trim().toLowerCase();
rowsEl.innerHTML = '';
let shown = 0;
for (const c of (DATA.clusters || [])) {
const cid = String(c.cluster_id);
const terms = String(c.top_terms || '');
const title = String(c.cluster_title || '');
const sgid = (c.supergroup_id === null || c.supergroup_id === undefined) ? '' : String(c.supergroup_id);
const sgterms = String(c.supergroup_top_terms || '');
const gid = (c.group_id === null || c.group_id === undefined) ? '' : String(c.group_id);
const gterms = String(c.group_top_terms || '');
if (q) {
const sgid = (c.supergroup_id === null || c.supergroup_id === undefined) ? '' : String(c.supergroup_id);
const sgterms = String(c.supergroup_top_terms || '');
const gid = (c.group_id === null || c.group_id === undefined) ? '' : String(c.group_id);
const gterms = String(c.group_top_terms || '');
const cterms = String(c.contrast_terms || '');
if (!(cid.includes(q) || sgid.includes(q) || gid.includes(q) || title.toLowerCase().includes(q) || terms.toLowerCase().includes(q) || cterms.toLowerCase().includes(q) || sgterms.toLowerCase().includes(q) || gterms.toLowerCase().includes(q))) continue;
}
const reps = (c.reps || []).map(r => {
const head = `<div class="rephead code">rep${r.rep_rank} sim=${(r.rep_sim||0).toFixed(3)} file=${esc(r.source_file||'')} chunk=${esc(r.chunk_id||'')}</div>`;
const txt = `<div class="reptext">${esc(r.text_preview||'')}</div>`;
return `<div class="rep">${head}${txt}</div>`;
}).join('');
const avgp = (c.avg_prob === null || c.avg_prob === undefined) ? '' : Number(c.avg_prob).toFixed(3);
const cm = (c.cohesion_mean_sim === null || c.cohesion_mean_sim === undefined) ? '' : Number(c.cohesion_mean_sim).toFixed(3);
const cp = (c.cohesion_p10_sim === null || c.cohesion_p10_sim === undefined) ? '' : Number(c.cohesion_p10_sim).toFixed(3);
let coh = '';
if (cm) coh += `mean=${cm}`;
if (cp) coh += (coh ? ' ' : '') + `p10=${cp}`;
const cterms = String(c.contrast_terms || '');
const termsCell = `
<div class="code">${esc(title || terms)}</div>
<div class="small">
<div><span class="badge">top</span> <span class="code">${esc(terms)}</span></div>
<div style="margin-top:4px;"><span class="badge">contrast</span> <span class="code">${esc(cterms)}</span></div>
${sgid ? `<div style="margin-top:4px;"><span class="badge">super</span> <span class="code">${esc(sgid)}</span> <span class="code">${esc(sgterms)}</span></div>` : ''}
${gid ? `<div style="margin-top:4px;"><span class="badge">group</span> <span class="code">${esc(gid)}</span> <span class="code">${esc(gterms)}</span></div>` : ''}
</div>
`;
const tr = document.createElement('tr');
tr.innerHTML = `
<td class="code">${esc(cid)}</td>
<td class="code">${sgid ? `<span class="badge">${esc(sgid)}</span>` : ''}</td>
<td class="code">${gid ? `<span class="badge">${esc(gid)}</span>` : ''}</td>
<td>${esc(c.size)}</td>
<td>${esc(avgp)}</td>
<td class="code">${esc(coh)}</td>
<td>${termsCell}</td>
<td>${reps}</td>
`;
rowsEl.appendChild(tr);
shown += 1;
}
const m = DATA.meta || {};
const noise = (m.noise_ratio === undefined || m.noise_ratio === null) ? '' : (Number(m.noise_ratio).toFixed ? Number(m.noise_ratio).toFixed(3) : m.noise_ratio);
metaEl.innerHTML = `version <span class="badge">${esc(m.script_version||'')}</span> chunks=${esc(m.chunk_count||'')} clusters=${esc(m.cluster_count||'')} noise=${esc(noise)} <br/>input: <span class="code">${esc(m.input_desc||'')}</span> <br/>showing: ${shown} / ${(DATA.clusters||[]).length}`;
}
qEl.addEventListener('input', () => render(qEl.value));
render('');
</script>
</body>
</html>
|