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Title: Pareto-Optimal Allocation of Indivisible Goods with Connectivity Constraints
Abstract: We study the problem of allocating indivisible items to agents with additive valuations, under the additional constraint that bundles must be connected in an underlying item graph. Previous work has considered the existence an... | cs | 1 |
Title: Taming the Beast: Fully Automated Unit Testing with Coyote C++
Abstract: In this paper, we present Coyote C++, a fully automated white-box unit testing tool for C and C++. Whereas existing tools have struggled to realize unit test generation for C++, Coyote C++ is able to produce high coverage results from unit ... | cs | 0 |
Title: Two remarks on graph norms
Abstract: For a graph $H$, its homomorphism density in graphs naturally extends to the space of two-variable symmetric functions $W$ in $L^p$, $p\geq e(H)$, denoted by $t(H,W)$. One may then define corresponding functionals $\|W\|_{H}:=|t(H,W)|^{1/e(H)}$ and $\|W\|_{r(H)}:=t(H,|W|)^{1/... | math | 1 |
Title: Low regularity estimates of the Lie-Totter time-splitting Fourier spectral method for the logarithmic Schrödinger equation
Abstract: In this paper, we conduct rigorous error analysis of the Lie-Totter time-splitting Fourier spectral scheme for the nonlinear Schr\"odinger equation with a logarithmic nonlinear ter... | math | 0 |
Title: On the standing waves of the NLS-log equation with point interaction on a star graph
Abstract: We study a nonlinear Schr\"odinger equation with logarithmic nonlinearity on a star graph $\mathcal{G}$. At the vertex an interaction occurs described by a boundary condition of delta type with strength $\alpha\in \mat... | math | 1 |
Title: Deep Automated Mechanism Design for Integrating Ad Auction and Allocation in Feed
Abstract: E-commerce platforms usually present an ordered list, mixed with several organic items and an advertisement, in response to each user's page view request. This list, the outcome of ad auction and allocation processes, dir... | cs | 0 |
Title: An eigenvalue problem for self-similar patterns in Hele-Shaw flows
Abstract: Hele-Shaw problems are prototypes to study the interface dynamics. Linear theory suggests the existence of self-similar patterns in a Hele-Shaw flow. That is, with a specific injection flux the interface shape remains unchanged while it... | math | 0 |
Title: Compact Group Actions on Topological and Noncommutative Joins
Abstract: We consider the Type 1 and Type 2 noncommutative Borsuk-Ulam conjectures of Baum, D$\k{a}$browski, and Hajac: there are no equivariant morphisms $A \to A \circledast_\delta H$ or $H \to A \circledast_\delta H$, respectively, when $H$ is a no... | math | 1 |
Title: Reliability of k-out-of-n Data Storage System with Deterministic Parallel and Serial Repair
Abstract: In this paper, we find the Laplace Stieltjes transform of the probability of data loss for the k-out-of-n distributed storage system with deterministic repair times. We consider two repair models, namely the ser... | cs | 1 |
Title: On Virasoro Constraints for Orbifold Gromov-Witten Theory
Abstract: Virasoro constraints for orbifold Gromov-Witten theory are described. These constraints are applied to the degree zreo, genus zero orbifold Gromov-Witten potentials of the weighted projective stacks $\mathbb{P}(1,N)$, $\mathbb{P}(1,1,N)$ and $\m... | math | 1 |
Title: Parametric change point detection with random occurrence of the change point
Abstract: We are concerned with the problem of detecting a single change point in the model parameters of time series data generated from an exponential family. In contrast to the existing literature, we allow that the true location of ... | math | 1 |
Title: Shadow Blade: A tool to interact with attack vectors
Abstract: The increased demand of cyber security professionals has also increased the development of new platforms and tools that help those professionals to improve their offensive skills. One of these platforms is HackTheBox, an online cyber security trainin... | cs | 0 |
Title: Two open problems in the fixed point theory of contractive type mappings on first-countable quasimetric spaces
Abstract: Two open problems in the fixed point theory of quasi metric spaces posed in [Berinde, V. and Choban, M. M., {\it Generalized distances and their associate metrics. Impact on fixed point theory... | math | 1 |
Title: Exploring Boundary of GPT-4V on Marine Analysis: A Preliminary Case Study
Abstract: Large language models (LLMs) have demonstrated a powerful ability to answer various queries as a general-purpose assistant. The continuous multi-modal large language models (MLLM) empower LLMs with the ability to perceive visual ... | cs | 0 |
Title: Energy based diffusion generator for efficient sampling of Boltzmann distributions
Abstract: We introduce a novel sampler called the energy based diffusion generator for generating samples from arbitrary target distributions. The sampling model employs a structure similar to a variational autoencoder, utilizing ... | cs | 0 |
Title: Local Discontinuous Galerkin Methods for Solving Convection-Diffusion and Cahn-Hilliard Equations on Surfaces
Abstract: Local discontinuous Galerkin methods are developed for solving second order and fourth order time-dependent partial differential equations defined on static 2D manifolds. These schemes are seco... | math | 0 |
Title: Homotopy Algebras are Homotopy Algebras
Abstract: We prove that strongly homotopy algebras (such as $A_\infty$, $C_\infty$, sh Lie, $B_\infty$, $G_\infty$,...) are homotopically invariant in the category of chain complexes. An important consequence is a rigorous proof that `strongly homotopy structures transfer ... | math | 1 |
Title: A Steinberg type decomposition theorem for higher level Demazure modules
Abstract: We study Demazure modules which occur in a level $\ell$ irreducible integrable representation of an affine Lie algebra. We also assume that they are stable under the action of the standard maximal parabolic subalgebra of the affin... | math | 1 |
Title: Path-based Explanation for Knowledge Graph Completion
Abstract: Graph Neural Networks (GNNs) have achieved great success in Knowledge Graph Completion (KGC) by modelling how entities and relations interact in recent years. However, the explanation of the predicted facts has not caught the necessary attention. Pr... | cs | 0 |
Title: On the behavior of adjoint ideals under pure morphisms
Abstract: We characterize adjoint ideal sheaves via ultraproducts and, utilizing this characterization, study their behavior under pure morphisms. In particular, given a pure morphism $f:Y \to X$ between normal quasi-projective complex varieties, a reduced d... | math | 0 |
Title: Radar-Camera Pixel Depth Association for Depth Completion
Abstract: While radar and video data can be readily fused at the detection level, fusing them at the pixel level is potentially more beneficial. This is also more challenging in part due to the sparsity of radar, but also because automotive radar beams ar... | cs | 1 |
Title: Rectilinear Shortest Paths Among Transient Obstacles
Abstract: This paper presents an optimal $\Theta(n \log n)$ algorithm for determining time-minimal rectilinear paths among $n$ transient rectilinear obstacles. An obstacle is transient if it exists in the scene only for a specific time interval, i.e., it appea... | cs | 1 |
Title: LSTMs Exploit Linguistic Attributes of Data
Abstract: While recurrent neural networks have found success in a variety of natural language processing applications, they are general models of sequential data. We investigate how the properties of natural language data affect an LSTM's ability to learn a nonlinguist... | cs | 1 |
Title: Signed Latent Factors for Spamming Activity Detection
Abstract: Due to the increasing trend of performing spamming activities (e.g., Web spam, deceptive reviews, fake followers, etc.) on various online platforms to gain undeserved benefits, spam detection has emerged as a hot research issue. Previous attempts to... | cs | 1 |
Title: Coalition Formation Games for Collaborative Spectrum Sensing
Abstract: Collaborative Spectrum Sensing (CSS) between secondary users (SUs) in cognitive networks exhibits an inherent tradeoff between minimizing the probability of missing the detection of the primary user (PU) and maintaining a reasonable false ala... | cs | 1 |
Title: A profile decomposition for the limiting Sobolev embedding
Abstract: For many known non-compact embeddings of two Banach spaces $E\hookrightarrow F$, every bounded sequence in $E$ has a subsequence that takes form of a profile decomposition - a sum of clearly structured terms with asymptotically disjoint support... | math | 1 |
Title: VGA: Vision and Graph Fused Attention Network for Rumor Detection
Abstract: With the development of social media, rumors have been spread broadly on social media platforms, causing great harm to society. Beside textual information, many rumors also use manipulated images or conceal textual information within ima... | cs | 0 |
Title: Dense triangle-free $(n, d, λ)$-graphs for all orders
Abstract: In 1994, Alon construct a triangle-free $(n,d,\lambda)$-graph with $d = \Omega(n^{2/3})$ and $\lambda = O(d^{1/2})$ for an exponentially increasing sequence of integers $n$. Using his ingenious construction, we deduce that there exist triangle-free ... | math | 0 |
Title: A Remark on Nonlinear Dirac Equations
Abstract: For a $n$-dimensional spin manifold $M$ with a fixed spin structure and a spinor bundle $\Sigma M$, we prove an $\epsilon$-regularity theorem for weak solutions to the nonlinear Dirac equation of cubic nonlinearity. This, in particular, answers a regularity questio... | math | 1 |
Title: Ballistic random walks in random environment as rough paths: convergence and area anomaly
Abstract: Annealed functional CLT in the rough path topology is proved for the standard class of ballistic random walks in random environment. Moreover, the `area anomaly', i.e. a deterministic linear correction for the sec... | math | 1 |
Title: The weak categorical quiver minor theorem and its applications: matchings, multipaths, and magnitude cohomology
Abstract: Building upon previous works of Proudfoot and Ramos, and using the categorical framework of Sam and Snowden, we extend the weak categorical minor theorem from undirected graphs to quivers. As... | math | 0 |
Title: From a Kac algebra subfactor to Drinfeld double
Abstract: Given a finite-index and finite-depth subfactor, we define the notion of \textit{quantum double inclusion} - a certain unital inclusion of von Neumann algebras constructed from the given subfactor - which is closely related to that of Ocneanu's asymptotic... | math | 1 |
Title: Convex Clustering via Optimal Mass Transport
Abstract: We consider approximating distributions within the framework of optimal mass transport and specialize to the problem of clustering data sets. Distances between distributions are measured in the Wasserstein metric. The main problem we consider is that of appr... | cs | 1 |
Title: First order sensitivity analysis of symplectic eigenvalues
Abstract: For every $2n \times 2n$ positive definite matrix $A$ there are $n$ positive numbers $d_1(A) \leq \ldots \leq d_n(A)$ associated with $A$ called the symplectic eigenvalues of $A.$ It is known that $d_m$ are continuous functions of $A$ but are n... | math | 1 |
Title: The Molecular Characterizations of Variable Triebel-Lizorkin Spaces Associated with the Hermite Operator and Its Applications
Abstract: In this article, we introduce inhomogeneous variable Triebel-Lizorkin spaces, $F_{p(\cdot),q(\cdot)}^{\alpha(\cdot),H}(\mathbb R^n)$, associated with the Hermite operator $H:=-\... | math | 0 |
Title: Rough metrics on manifolds and quadratic estimates
Abstract: We study the persistence of quadratic estimates related to the Kato square root problem across a change of metric on smooth manifolds by defining a class of Riemannian-like metrics that are permitted to be of low regularity and degenerate on sets of me... | math | 1 |
Title: Nonconvex bundle method with application to a delamination problem
Abstract: Delamination is a typical failure mode of composite materials caused by weak bonding. It arises when a crack initiates and propagates under a destructive loading. Given the physical law characterizing the properties of the interlayer ad... | math | 1 |
Title: Comptage des quiddit{é}s sur les corps finis et sur quelques anneaux $\mathbb{Z}/N\mathbb{Z}$
Abstract: The $\lambda$-quiddities of size $n$ are $n$-tuples of elements of a fixed set, solutions of a matrix equation appearing in the study of Coxeter friezes. These can be considered on various sets with very diffe... | math | 0 |
Title: Euclidean algorithms are Gaussian over imaginary quadratic fields
Abstract: The distributional analysis of Euclidean algorithms was carried out by Baladi and Vall\'{e}e. They showed the asymptotic normality of the number of division steps and associated costs in the Euclidean algorithm as a random variable on th... | math | 0 |
Title: On grids in point-line arrangements in the plane
Abstract: The famous Szemer\'{e}di-Trotter theorem states that any arrangement of $n$ points and $n$ lines in the plane determines $O(n^{4/3})$ incidences, and this bound is tight. In this paper, we prove the following Tur\'an-type result for point-line incidence.... | math | 1 |
Title: The line bundles on the moduli stack of principal bundles on families of curves
Abstract: Given a connected reductive algebraic group G, we investigate the Picard group of the moduli stack of principal G-bundles over an arbitrary family of smooth curves. | math | 0 |
Title: Optimal Economic Operation of Liquid Petroleum Products Pipeline Systems
Abstract: The majority of overland transport needs for crude petroleum and refined petroleum products are met using pipelines. Numerous studies have developed optimization methods for design of these systems in order to minimize constructio... | math | 1 |
Title: Optimal Synthesis of Finite State Machines with Universal Gates using Evolutionary Algorithm
Abstract: This work presents an optimization method for the synthesis of finite state machines. The focus is on the reduction in the on-chip area and the cost of the circuit. A list of finite state machines from MCNC91 b... | cs | 0 |
Title: How many digits are needed?
Abstract: Let $X_1,X_2,...$ be the digits in the base-$q$ expansion of a random variable $X$ defined on $[0,1)$ where $q\ge2$ is an integer. For $n=1,2,...$, we study the probability distribution $P_n$ of the (scaled) remainder $T^n(X)=\sum_{k=n+1}^\infty X_k q^{n-k}$: If $X$ has an a... | math | 0 |
Title: On the relations between Auerbach or almost Auberbach Markushevich systems and Schauder bases
Abstract: We establish that the summability of the series $\sum\varepsilon_n$ is the necessary and sufficient criterion ensuring that every $(1+\varepsilon_n)$ Markushevich basis in a separable Hilbert space is a Riesz ... | math | 0 |
Title: Edge statistics for random band matrices
Abstract: Consider Hermitian and symmetric random band matrices $H=(\sigma_{xy}A_{xy})$ on the $d$-dimensional lattice $\left(\mathbb{Z}/{L\mathbb{Z}}\right)^d$, where $A_{xy}=\overline{A_{yx}}$ are independent uniformly distributed random variables on $S^1$ or $\{+1, -1\... | math | 0 |
Title: HawkRover: An Autonomous mmWave Vehicular Communication Testbed with Multi-sensor Fusion and Deep Learning
Abstract: Connected and automated vehicles (CAVs) have become a transformative technology that can change our daily life. Currently, millimeter-wave (mmWave) bands are identified as the promising CAV connec... | cs | 0 |
Title: On a conjecture of George Beck
Abstract: In this paper, we prove a conjecture proposed by George Beck, which involves gap-free partitions and partitions with distinct parts. | math | 1 |
Title: Composition method for chromatic symmetric functions: Neat noncommutative analogs
Abstract: This work is inspired by Shareshian and Wachs's exquisite formula for the chromatic symmetric function of paths. We develop a composition method to unearth neat noncommutative analogs of chromatic symmetric functions. A s... | math | 0 |
Title: Trajectory-Oriented Policy Optimization with Sparse Rewards
Abstract: Deep reinforcement learning (DRL) remains challenging in tasks with sparse rewards. These sparse rewards often only indicate whether the task is partially or fully completed, meaning that many exploration actions must be performed before the a... | cs | 0 |
Title: Stable cohomology of congruence subgroups
Abstract: We describe the $\mathbb{F}_p$-cohomology of the congruence subgroups $SL_n(\mathbb{Z}, p^m)$ in degrees $* < p$, for all large enough $n$, establishing a formula proposed by F. Calegari. Along the way, we also establish a formula for the stable cohomology of $... | math | 1 |
Title: Introducing an experimental distortion-tolerant speech encryption scheme for secure voice communication
Abstract: The current increasing need for privacy-preserving voice communications is leading to new ideas for securing voice transmission. This paper refers to a relatively new concept of sending encrypted spe... | cs | 1 |
Title: Kempe equivalence and quadratic toric rings
Abstract: Perfectly contractile graphs form a typical class of perfect graphs. In particular, all $k$-colorings of a perfectly contractile graph are Kempe equivalent. Everett and Reed conjectured that a graph is perfectly contractile if and only if it contains no odd h... | math | 0 |
Title: Generalised Dirac-Schrödinger operators and the Callias Theorem
Abstract: We consider generalised Dirac-Schr\"odinger operators, consisting of a self-adjoint elliptic first-order differential operator D with a skew-adjoint 'potential' given by a (suitable) family of unbounded operators on an auxiliary Hilbert mo... | math | 0 |
Title: Hyperbolic Graph Diffusion Model
Abstract: Diffusion generative models (DMs) have achieved promising results in image and graph generation. However, real-world graphs, such as social networks, molecular graphs, and traffic graphs, generally share non-Euclidean topologies and hidden hierarchies. For example, the ... | cs | 0 |
Title: Semifinite harmonic functions on branching graphs
Abstract: We study semifinite harmonic functions on arbitrary branching graphs. We give a detailed exposition of an algebraic method which allows one to classify semifinite indecomposable harmonic functions on some multiplicative branching graphs. This method was... | math | 1 |
Title: Higher convexity and iterated sum sets
Abstract: Let $f$ be a smooth real function with strictly monotone first $k$ derivatives. We show that for a finite set $A$, with $|A+A|\leq K|A|$, $|2^kf(A)-(2^k-1)f(A)|\gg_k |A|^{k+1-o(1)}/K^{O_k(1)}$. We deduce several new sum-product type implications, e.g. that $A+A$ b... | math | 1 |
Title: Frequency-Adaptive Pan-Sharpening with Mixture of Experts
Abstract: Pan-sharpening involves reconstructing missing high-frequency information in multi-spectral images with low spatial resolution, using a higher-resolution panchromatic image as guidance. Although the inborn connection with frequency domain, exist... | cs | 0 |
Title: Stability and instability of Kelvin waves
Abstract: The $m$-waves of Kelvin are uniformly rotating patch solutions of the 2D Euler equations with $m$-fold rotational symmetry for $m\geq 2$. For Kelvin waves sufficiently close to the disc, we prove a nonlinear stability result up to an arbitrarily long time in th... | math | 1 |
Title: Stability of strong viscous shock wave under periodic perturbation for 1-D isentropic Navier-Stokes system in the half space
Abstract: In this paper, a viscous shock wave under space-periodic perturbation of 1-D isentropic Navier-Stokes system in the half space is investigated. It is shown that if the initial pe... | math | 0 |
Title: A bridge between the circular and linear normal distributions
Abstract: In this short note, we present a refined approximation for the log-ratio of the density of the von Mises$(\mu,\kappa)$ distribution (also called the circular normal distribution) to the standard (linear) normal distribution when the concentr... | math | 0 |
Title: Linear subspaces of the intersection of two quadrics via Kuznetsov component
Abstract: Let $Q_i(i=1,2)$ be $2g$ dimensional quadrics in $\mathbb{P}^{2g+1}$ and let $Y$ be the smooth intersection $Q_1\cap Q_2$. We associate the linear subspace in $Y$ with vector bundles on the hyperelliptic curve $C$ of genus $g$... | math | 0 |
Title: Reciprocity formulas for certain generalized Hardy sums
Abstract: In this paper, we establish some reciprocity formulas for certain generalized Hardy sums by using the Fourier series technique and some properties of the periodic zeta function and Lerch zeta function. It turns out that one of Hardy's reciprocity ... | math | 0 |
Title: A fractional conformal curvature flow on the unit sphere
Abstract: We study a fractional conformal curvature flow on the standard unit sphere and prove a perturbation result of the fractional Nirenberg problem with fractional exponent $\sigma \in (1/2,1)$. This extends the result of Chen-Xu (Invent. Math. 187, n... | math | 1 |
Title: Predicting parametric spatiotemporal dynamics by multi-resolution PDE structure-preserved deep learning
Abstract: Pure data-driven deep learning models suffer from high training costs, error accumulation, and poor generalizability when predicting complex physical processes. A more promising way is to leverage ou... | cs | 1 |
Title: Two dimensional gravity waves at low regularity II: Global solutions
Abstract: This article represents the second installment of a series of papers concerned with low regularity solutions for the water wave equations in two space dimensions. Our focus here is on global solutions for small and localized data. Suc... | math | 1 |
Title: Analyticity of Entropy Rate of Hidden Markov Chains
Abstract: We prove that under mild positivity assumptions the entropy rate of a hidden Markov chain varies analytically as a function of the underlying Markov chain parameters. A general principle to determine the domain of analyticity is stated. An example is ... | math | 1 |
Title: On the non-transverse homoclinic channel of a center manifold
Abstract: We consider a scenario when a stable and unstable manifolds of compact center manifold of a saddle-center coincide. The normal form of the ODE governing the system near the center manifold is derived and so is the normal form of the return m... | math | 1 |
Title: On the Lebesgue measure of the Feigenbaum Julia set
Abstract: We show that the Julia set of the Feigenbaum polynomial has Hausdorff dimension less than~2 (and consequently it has zero Lebesgue measure). This solves a long-standing open question. | math | 1 |
Title: Bounded diameter tree-decompositions
Abstract: When does a graph admit a tree-decomposition in which every bag has small diameter? For finite graphs, this is a property of interest in algorithmic graph theory, where it is called having bounded ``tree-length''. We will show that this is equivalent to being ``boun... | math | 0 |
Title: A Survey of Protocol Fuzzing
Abstract: Communication protocols form the bedrock of our interconnected world, yet vulnerabilities within their implementations pose significant security threats. Recent developments have seen a surge in fuzzing-based research dedicated to uncovering these vulnerabilities within pro... | cs | 0 |
Title: Supervised learning on heterogeneous, attributed entities interacting over time
Abstract: Most physical or social phenomena can be represented by ontologies where the constituent entities are interacting in various ways with each other and with their environment. Furthermore, those entities are likely heterogene... | cs | 1 |
Title: Fringe Analysis of Plane Trees Related to Cutting and Pruning
Abstract: Rooted plane trees are reduced by four different operations on the fringe. The number of surviving nodes after reducing the tree repeatedly for a fixed number of times is asymptotically analyzed. The four different operations include cutting... | math | 1 |
Title: Weaving continuous generalized frames for operators
Abstract: Recently, Bemrose et al. \cite{BE} developed a theory of weaving frames, which was motivated by a problem regarding distributed signal processing. In this present article, we introduce the atomic $g$-system and we generalize some of the known results ... | math | 0 |
Title: Economics Arena for Large Language Models
Abstract: Large language models (LLMs) have been extensively used as the backbones for general-purpose agents, and some economics literature suggest that LLMs are capable of playing various types of economics games. Following these works, to overcome the limitation of ev... | cs | 0 |
Title: Chebyshev Subdivision and Reduction Methods for Solving Multivariable Systems of Equations
Abstract: We present a new algorithm for finding isolated zeros of a system of real-valued functions in a bounded interval in $\mathbb{R}^n$. It uses the Chebyshev proxy method combined with a mixture of subdivision, reduc... | math | 0 |
Title: High-Resolution Image Inpainting with Iterative Confidence Feedback and Guided Upsampling
Abstract: Existing image inpainting methods often produce artifacts when dealing with large holes in real applications. To address this challenge, we propose an iterative inpainting method with a feedback mechanism. Specifi... | cs | 1 |
Title: Privacy concerns from variances in spatial navigability in VR
Abstract: Current Virtual Reality (VR) input devices make it possible to navigate a virtual environment and record immersive, personalized data regarding the user's movement and specific behavioral habits, which brings the question of the user's priva... | cs | 1 |
Title: Joint distribution in residue classes of families of polynomially-defined additive functions
Abstract: Let $g_1, \dots , g_M$ be additive functions for which there exist nonconstant polynomials $G_1, \dots , G_M$ satisfying $g_i(p) = G_i(p)$ for all primes $p$ and all $i \in \{1, \dots , M\}$. Under fairly gener... | math | 0 |
Title: Event-Object Reasoning with Curated Knowledge Bases: Deriving Missing Information
Abstract: The broader goal of our research is to formulate answers to why and how questions with respect to knowledge bases, such as AURA. One issue we face when reasoning with many available knowledge bases is that at times needed... | cs | 1 |
Title: Simplified Information Geometry Approach for Massive MIMO-OFDM Channel Estimation -- Part II: Convergence Analysis
Abstract: In Part II of this two-part paper, we prove the convergence of the simplified information geometry approach (SIGA) proposed in Part I. For a general Bayesian inference problem, we first sh... | cs | 0 |
Title: Improving Approximate Optimal Transport Distances using Quantization
Abstract: Optimal transport (OT) is a popular tool in machine learning to compare probability measures geometrically, but it comes with substantial computational burden. Linear programming algorithms for computing OT distances scale cubically i... | cs | 1 |
Title: Do the Hodge spectra distinguish orbifolds from manifolds? Part 2
Abstract: In \cite{GGKM-SSS} we examined the relationship between the singular set of a compact Riemannian orbifold and the spectrum of the Hodge Laplacian on $p$-forms by computing the heat invariants associated to the $p$-spectrum. We showed tha... | math | 0 |
Title: Looking forwards and backwards: dynamics and genealogies of locally regulated populations
Abstract: We introduce a broad class of spatial models to describe how spatially heterogeneous populations live, die, and reproduce. Individuals are represented by points of a point measure, whose birth and death rates can ... | math | 0 |
Title: From Bi-immunity to Absolute Undecidability
Abstract: An infinite binary sequence A is absolutely undecidable if it is impossible to compute A on a set of positions of positive upper density. Absolute undecidability is a weakening of bi-immunity. Downey, Jockusch and Schupp asked whether, unlike the case for bi-... | math | 1 |
Title: Stress and Adaptation: Applying Anna Karenina Principle in Deep Learning for Image Classification
Abstract: Image classification with deep neural networks has reached state-of-art with high accuracy. This success is attributed to good internal representation features that bypasses the difficulties of the non-con... | cs | 1 |
Title: Some Aspects on Solving Transportation Problem
Abstract: In this paper, we consider a class of transportation problems which arises in sample surveys and other areas of statistics. The associated cost matrices of these transportation problems are of special structure. We observe that the optimality of North West... | math | 1 |
Title: Fractal geometry of the space-time difference profile in the directed landscape via construction of geodesic local times
Abstract: The Directed Landscape, a random directed metric on the plane (where the first and the second coordinates are termed spatial and temporal respectively), was constructed in the breakt... | math | 1 |
Title: On the error term in a mixed moment of L-functions
Abstract: There has recently been some interest in optimizing the error term in the asymptotic for the fourth moment of Dirichlet L-functions and a closely related mixed moment of L-functions involving automorphic L-functions twisted by Dirichlet characters. We ... | math | 0 |
Title: A multiscale quasilinear system for colloids deposition in porous media: Weak solvability and numerical simulation of a near-clogging scenario
Abstract: We study the weak solvability of a quasilinear reaction-diffusion system nonlinearly coupled with an linear elliptic system posed in a domain with distributed m... | math | 1 |
Title: Towards dense volumetric pancreas segmentation in CT using 3D fully convolutional networks
Abstract: Pancreas segmentation in computed tomography imaging has been historically difficult for automated methods because of the large shape and size variations between patients. In this work, we describe a custom-build... | cs | 1 |
Title: Watkins' conjecture for elliptic curves over function fields
Abstract: In 2002 Watkins conjectured that given an elliptic curve defined over $\mathbb{Q}$, its Mordell-Weil rank is at most the $2$-adic valuation of its modular degree. We consider the analogous problem over function fields of positive characterist... | math | 1 |
Title: Speeding up the Euler scheme for killed diffusions
Abstract: Let $X$ be a linear diffusion taking values in $(\ell,r)$ and consider the standard Euler scheme to compute an approximation to $\mathbb{E}[g(X_T)\mathbf{1}_{[T<\zeta]}]$ for a given function $g$ and a deterministic $T$, where $\zeta=\inf\{t\geq 0: X_t... | math | 1 |
Title: Enumerating m-Length Walks in Directed Graphs with Constant Delay
Abstract: In this paper, we provide a novel enumeration algorithm for the set of all walks of a given length within a directed graph. Our algorithm has worst-case constant delay between outputting succinct representations of such walks, after a pr... | cs | 0 |
Title: Adaptive estimation of a function from its Exponential Radon Transform in presence of noise
Abstract: In this article we propose a locally adaptive strategy for estimating a function from its Exponential Radon Transform (ERT) data, without prior knowledge of the smoothness of functions that are to be estimated. ... | math | 1 |
Title: Structure of betweenness uniform graphs with low values of betweenness centrality
Abstract: This work deals with undirected graphs that have the same betweenness centrality for each vertex, so-called betweenness uniform graphs (or BUGs). The class of these graphs is not trivial and its classification is still an... | math | 0 |
Title: Boson Operator Ordering Identities from Generalized Stirling and Eulerian Numbers
Abstract: Ordering identities in the Weyl-Heisenberg algebra generated by single-mode boson operators are investigated. A boson string composed of creation and annihilation operators can be expanded as a linear combination of other... | math | 0 |
Title: Harvesting of a stochastic population under a mixed regular-singular control formulation
Abstract: This work focuses on optimal harvesting-renewing for a stochastic population. A mixed regular-singular control formulation with a state constraint and regime-switching is introduced. The decision-makers either harv... | math | 1 |
Title: Team Semantics and Independence Notions in Quantum Physics
Abstract: We study dependence and independence concepts found in quantum physics, especially those related to hidden variables and non-locality, through the lens of team semantics and probabilistic team semantics, adapting a relational framework introduc... | math | 1 |
Title: Spin systems with hyperbolic symmetry: a survey
Abstract: Spin systems with hyperbolic symmetry originated as simplified models for the Anderson metal--insulator transition, and were subsequently found to exactly describe probabilistic models of linearly reinforced walks and random forests. In this survey we int... | math | 1 |
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Dataset Card for ArxivMIA
To evaluate various pre-training data detection methods in a more challenging scenario, we introduce ArxivMIA, a new benchmark comprising abstracts from the fields of Computer Science (CS) and Mathematics (Math) sourced from Arxiv.
- Repository: https://github.com/zhliu0106/probing-lm-data
- Paper: Probing Language Models for Pre-training Data Detection
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