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Planning with partial observation is a central challenge in embodied AI. A
majority of prior works have tackled this challenge by developing agents that
physically explore their environment to update their beliefs about the world
state.In contrast, humans can $\textit{imagine}$ unseen parts of the world
through a menta... | arXiv |
I model a rational agent who spends resources between the current time and
some fixed future deadline. Opportunities to spend resources arise randomly
according to a Poisson process, and the quality of each opportunity follows a
uniform distribution. The agent values their current resource stock at exactly
the sum of e... | arXiv |
A full set of optimized observables is measured in an angular analysis of the
decay B$^0$ $\to$ K$^*$(892)$^0\mu^+\mu^-$ using a sample of proton-proton
collisions at $\sqrt{s}$ = 13 TeV, collected with the CMS detector at the LHC,
corresponding to an integrated luminosity of 140 fb$^{-1}$. The analysis is
performed in... | arXiv |
Differential equations are derived which show how generalized Euler vector
representations of the Euler rotation axis and angle for a rigid body evolve in
time; the Euler vector is also known as a rotation vector or axis-angle vector.
The solutions can exhibit interesting rotational features in this non-abstract,
visua... | arXiv |
This paper describes two C++/Open Motion Planning Library implementations of
the recently developed motion planning algorithms HyRRT arXiv:2210.15082v1
[cs.RO] and HySST arXiv:2305.18649v1 [cs.RO]. Specifically, cHyRRT, an
implementation of the HyRRT algorithm, is capable of generating a solution to a
motion planning p... | arXiv |
Federated learning (FL) is an emerging paradigm for training machine learning
models across distributed clients. Traditionally, in FL settings, a central
server assigns training efforts (or strategies) to clients. However, from a
market-oriented perspective, clients may independently choose their training
efforts based... | arXiv |
High penetration from volatile renewable energy resources in the grid and the
varying nature of loads raise the need for frequent line switching to ensure
the efficient operation of electrical distribution networks. Operators must
ensure maximum load delivery, reduced losses, and the operation between voltage
limits. H... | arXiv |
Tuning the density of resident electrons or holes in semiconductors provides
crucial insight into the composition of excitonic complexes that are observed
as absorption or photoluminescence resonances in optical studies. Moreover, we
can change the way these resonances shift and broaden in energy by controlling
the qua... | arXiv |
Blockchain networks are facing increasingly heterogeneous computational
demands, and in response, protocol designers have started building specialized
infrastructure to supply that demand. This paper introduces Resoonance: a new
kind of transaction fee mechanism that operates in a general two-sided
marketplace setting ... | arXiv |
In this paper we prove that Schr\"{o}dinger's equation with a Hamiltonian of
the form $H=-\Delta+i(A \nabla + \nabla A) + V$, which includes a magnetic
potential $A$, has the same dispersive and solution decay properties as the
free Schr\"{o}dinger equation. In particular, we prove $L^1 \to L^\infty$ decay
and some rel... | arXiv |
A generative adversarial network (GAN) has been a representative backbone
model in generative artificial intelligence (AI) because of its powerful
performance in capturing intricate data-generating processes. However, the GAN
training is well-known for its notorious training instability, usually
characterized by the oc... | arXiv |
In 1975, Erd\H{o}s and Sauer asked to estimate, for any constant $r$, the
maximum number of edges an $n$-vertex graph can have without containing an
$r$-regular subgraph. In a recent breakthrough, Janzer and Sudakov proved that
any $n$-vertex graph with no $r$-regular subgraph has at most $C_r n \log \log
n$ edges, mat... | arXiv |
Quantum computing architectures based on neutral atoms offer large scales and
high-fidelity operations. They can be heterogeneous, with different zones for
storage, entangling operations, and readout. Zoned architectures improve
computation fidelity by shielding idling qubits in storage from side-effect
noise, unlike m... | arXiv |
Motivated by knot theory, it is natural to define the orientation-reversal of
a quandle orbit by inverting all the translations given by elements of that
orbit. In this short note we observe that this natural notion is unsuited to
medial quandles. | arXiv |
We consider the dynamics of a continuously monitored qubit in the limit of
strong measurement rate where the quantum trajectory is described by a
stochastic master equation with Poisson noise. Such limits are expected to give
rise to quantum jumps between the pointer states associated with the
non-demolition measuremen... | arXiv |
Coherent perfect absorption (CPA) has been a topic of considerable
contemporary research interest. However, its implementation in practical
applications has been limited, since it has been demonstrated only for plane
waves till now. The issue for beams with finite confinement -- characterized by
a collection of plane w... | arXiv |
We investigate prophet inequalities with competitive ratios approaching $1$,
seeking to generalize $k$-uniform matroids. We first show that large girth does
not suffice: for all $k$, there exists a matroid of girth $\geq k$ and a
prophet inequality instance on that matroid whose optimal competitive ration is
$\frac{1}{... | arXiv |
We prove upper bounds which are independent of the dimension of the ambient
space, on the number of realizable zero-nonzero patterns as well as sign
conditions (when the field of coefficients is ordered) of a finite set of
polynomials $\mathcal{P}$ restricted to some algebraic subset $V$.Our bounds
(which are tight) de... | arXiv |
Aligning diffusion models with downstream objectives is essential for their
practical applications. However, standard alignment methods often struggle with
step generalization when directly applied to few-step diffusion models, leading
to inconsistent performance across different denoising step scenarios. To
address th... | arXiv |
The Vol-Det Conjecture, formulated by Champanerkar, Kofman and Purcell,
states that there exists a specific inequality connecting the hyperbolic volume
of an alternating link and its determinant. Among the classes of links for
which this conjecture holds are all knots with at most 16 crossings, 2-bridge
links, and link... | arXiv |
We prove that for every compact, convex subset $K\subset\mathbb{R}^2$ the
operator system $A(K)$, consisting of all continuous affine functions on $K$,
is hyperrigid in the C*-algebra $C(\mathrm{ex}(K))$. In particular, this result
implies that the weak and strong operator topologies coincide on the set $$
\{ T\in\ma... | arXiv |
This paper explores quadratic forms over finite fields with associated
Artin-Schreier curves. Specifically, we investigate quadratic forms of $\mathbb
F_{q^n}/\mathbb F_q$ represented by polynomials over $\mathbb F_{q^n}$ with $q$
odd, characterizing them using certain matrices defined by coefficients of the
polynomial... | arXiv |
We are interested in the nonlinear damped Klein-Gordon equation \[
\partial_t^2 u+2\alpha \partial_t u-\Delta u+u-|u|^{p-1}u=0 \] on
$\mathbb{R}^d$ for $2\le d\le 5$ and energy sub-critical exponents $2 < p <
\frac{d+2}{d-2}$.
We construct multi-solitons, that is, solutions which behave for large times
as a sum of de... | arXiv |
The personalization techniques of diffusion models succeed in generating
specific concepts but also pose threats to copyright protection and illegal
use. Model Watermarking is an effective method to prevent the unauthorized use
of subject-driven or style-driven image generation, safeguarding concept
copyrights. However... | arXiv |
We critically review the evidence for time-varying dark energy from recent
Baryon Acoustic Oscillations (BAO) and Supernova (SN) observations. First, we
show that such evidence is present at the 3$\sigma$ level, even without the new
BAO data from the dark energy Spectroscopic Instrument (DESI), by instead using
BAO dat... | arXiv |
The abundant chemical compositions in ternary hydrides bring much more
possibility to explore high temperature superconductors under lower pressure.
Here we constructed 115 ternary hydrides on the basis of the elements
substitution using 16 metal elements within 5 reported prototype structures. We
conducted a three-ste... | arXiv |
The variation of the physical conditions across the three dimensions of our
Galaxy is a major source of complexity for the modelling of the foreground
signal facing the cosmic microwave background (CMB). In the present work, we
demonstrate that the spin-moment expansion formalism provides a powerful
framework to model ... | arXiv |
Ashkin-Teller model is a two-layer lattice model where spins in each layer
interact ferromagnetically with strength $J$, and the spin-dipoles (product of
spins) interact with neighbors with strength $\lambda.$ The model exhibits
simultaneous magnetic and electric transitions along a self-dual line on the
$\lambda$-$J$ ... | arXiv |
We study the dynamics of synthetic molecules whose architectures are
generated by space transformations from a point group acting on seed
resonators. We show that the dynamical matrix of any such molecule can be
reproduced as the left regular representation of a self-adjoint element from
the stabilized group's algebra.... | arXiv |
We prove a version of Jordan's classification theorem for finite subgroups of
$\mathrm{GL}_{n}(K)$ that is at the same time quantitatively explicit,
CFSG-free, and valid for arbitrary $K$. This is the first proof to satisfy all
three properties at once. Our overall strategy follows Larsen and Pink [24],
with explicit c... | arXiv |
We consider two supersymmetric M5 brane probe solutions in $\textrm{AdS}_7
\times S^4$ and one in $\textrm{AdS}_4 \times S^7$ that all have the
$\textrm{AdS}_3 \times S^3$ world-volume geometry. The values of the classical
action of the first two M5 probes (with $S^3$ in $\textrm{AdS}_7$ or in $S^4$)
are related to the... | arXiv |
Determining potential probability distributions with a given causal graph is
vital for causality studies. To bypass the difficulty in characterizing latent
variables in a Bayesian network, the nested Markov model provides an elegant
algebraic approach by listing exactly all the equality constraints on the
observed vari... | arXiv |
In this paper, we construct new t-server Private Information Retrieval (PIR)
schemes with communication complexity subpolynomial in the previously best
known, for all but finitely many t. Our results are based on combining
derivatives (in the spirit of Woodruff-Yekhanin) with the Matching Vector based
PIRs of Yekhanin ... | arXiv |
Large double-logarithmic corrections are induced by soft gluon emissions near
threshold in the semi-inclusive $e^+e^-$ annihilation (SIA) distributions, and
must be resummed to all-orders in perturbation theory for reliable theoretical
predictions. Building on strategy developed for threshold resummation for DIS
struct... | arXiv |
This paper studies the distributed bandit convex optimization problem with
time-varying inequality constraints, where the goal is to minimize network
regret and cumulative constraint violation. To calculate network cumulative
constraint violation, existing distributed bandit online algorithms solving
this problem direc... | arXiv |
This paper studies observability inequalities for heat equations on both
bounded domains and the whole space $\mathbb{R}^d$. The observation sets are
measured by log-type Hausdorff contents, which are induced by certain log-type
gauge functions closely related to the heat kernel. On a bounded domain, we
derive the obse... | arXiv |
Bonne and Censor-Hillel (ICALP 2019) initiated the study of distributed
subgraph finding in dynamic networks of limited bandwidth. For the case where
the target subgraph is a clique, they determined the tight bandwidth complexity
bounds in nearly all settings. However, several open questions remain, and very
little is ... | arXiv |
In this paper, we study the componentwise linearity of symbolic powers of
edge ideals. We propose the conjecture that all symbolic powers of the edge
ideal of a cochordal graph are componentwise linear. This conjecture is
verified for some families of cochordal graphs, including complements of block
graphs and compleme... | arXiv |
The Schrieffer-Wolff transformation (SWT) is an important perturbative method
in quantum mechanics used to simplify Hamiltonians by decoupling low- and
high-energy subspaces. Existing methods for implementing the SWT often lack
general applicability to arbitrary perturbative systems or fail to provide a
closed-form sol... | arXiv |
The James Webb Space Telescope has uncovered a puzzling population of
UV-faint broad-line active galactic nuclei (AGN), nicknamed ``Little Red Dots''
(LRD) owing to their compact morphology and red rest-frame optical colours.
Interpreted as dust attenuated AGN, their inferred intrinsic luminosities and
supermassive bla... | arXiv |
The rapid development of large language models (LLMs) with advanced
programming capabilities has paved the way for innovative approaches in
software testing. Fuzz testing, a cornerstone for improving software
reliability and detecting vulnerabilities, often relies on manually written
fuzz drivers, limiting scalability ... | arXiv |
In this paper we present an approach to reduce hallucinations in Large
Language Models (LLMs) by incorporating Knowledge Graphs (KGs) as an additional
modality. Our method involves transforming input text into a set of KG
embeddings and using an adapter to integrate these embeddings into the language
model space, witho... | arXiv |
Massive Open Online Courses (MOOCs) have greatly contributed to making
education more accessible.However, many MOOCs maintain a rigid,
one-size-fits-all structure that fails to address the diverse needs and
backgrounds of individual learners.Learning path personalization aims to
address this limitation, by tailoring se... | arXiv |
E-commerce app users exhibit behaviors that are inherently logically
consistent. A series of multi-scenario user behaviors interconnect to form the
scene-level all-domain user moveline, which ultimately reveals the user's true
intention. Traditional CTR prediction methods typically focus on the item-level
interaction b... | arXiv |
While AI models have demonstrated remarkable capabilities in constrained
domains like game strategy, their potential for genuine creativity in
open-ended domains like art remains debated. We explore this question by
examining how AI can transcend human cognitive limitations in visual art
creation. Our research hypothes... | arXiv |
We establish the profound equivalence between measures of genuine
multipartite entanglement(GME) and their corresponding coherence measures.
Initially we construct two distinct classes of measures for genuine
multipartite entanglement utilizing real symmetric concave functions and the
convex roof technique. We then dem... | arXiv |
Uncertainty persists over how and why some countries become democratic and
others do not, or why some countries remain democratic and others 'backslide'
toward autocracy. Furthermore, while scholars generally agree on the nature of
'democracy' and 'autocracy', the nature of regimes in-between, and changes
between them,... | arXiv |
Given a closed subset $K$ in $\mathbb{R}$, the rational $K$-truncated moment
problem ($K$-RTMP) asks to characterize the existence of a positive Borel
measure $\mu$, supported on $K$, such that a linear functional $\mathcal{L}$,
defined on all rational functions of the form $\frac{f}{q}$, where $q$ is a
fixed polynomia... | arXiv |
This work investigates the effects of tangent polar activity on the
conformational and dynamic properties of entangled polymer melts through
Langevin molecular dynamics simulations. We examine systems composed of all
self-propelled, monodisperse linear chains, so that constraint release is
considered. The range of acti... | arXiv |
Depth estimation is an essential task toward full scene understanding since
it allows the projection of rich semantic information captured by cameras into
3D space. While the field has gained much attention recently, datasets for
depth estimation lack scene diversity or sensor modalities. This work presents
the ADUULM-... | arXiv |
Migration is a key ingredient for the formation of close-in super-Earth and
mini-Neptune systems, as it sets in which resonances planets can be trapped.
Slower migration rates result in wider resonance configurations compared to
higher migration rates. We investigate the influence of different migration
rates, set by t... | arXiv |
Recently, the Large High-Altitude Air Shower Observatory (LHAASO)
collaboration has obtained a measurement of the gamma-ray diffuse emission in
the ultra-high energy range, $10-10^3$ TeV after masking the contribution of
known sources. The measurement appears to be 2-3 times higher than the
gamma-ray signal expected fr... | arXiv |
A large host of scientific journals and conferences solicit peer reviews from
multiple reviewers for the same submission, aiming to gather a broader range of
perspectives and mitigate individual biases. In this work, we reflect on the
role of diversity in the slate of reviewers assigned to evaluate a submitted
paper as... | arXiv |
Graph augmentation is a fundamental and well-studied problem that arises in
network optimization. We consider a new variant of this model motivated by
reconfigurable communication networks. In this variant, we consider a given
physical network and the measured communication demands between the nodes. Our
goal is to aug... | arXiv |
Recent advances in Large Language Models (LLMs) have enabled them to overcome
their context window limitations, and demonstrate exceptional retrieval and
reasoning capacities on longer context. Quesion-answering systems augmented
with Long-Context Language Models (LCLMs) can automatically search massive
external data a... | arXiv |
We elaborate on and further develop an approach to determining the
teleparallel analogue of spacetimes in General Relativity (GR) by studying the
Teleparallel analogue of pp-Wave (TppW) spacetimes. This relies on using the
fact that these solutions belong to the Vanishing Scalar Invariant (VSI)
subclass for which the e... | arXiv |
Let $k$ be an uncountable algebraically closed filed of positive
characteristic and let $S_0$ be a connected smooth projective surface over $k$.
We extend the theorem on the Gysin kernel from [28, Theorem 5.1] to also be
true over $k$, where it was proved over $\mathbb{C}$. This is done by showing
that almost all resul... | arXiv |
In this study, we introduced a simple yet innovative method to trigger
turbulence in a channel flow to achieve statistically stationary flow
conditions. We compare this new method based on synthetically generated
three-dimensional turbulence with two other well-established methods, namely,
linear profile superposed wit... | arXiv |
In this paper, we prove several new infinite families of Ramanujan--like
congruences satisfied by the coefficients of the generating function $U_t(a,q)$
which is an extension of MacMahon's generalized sum-of-divisors function. As a
by-product, we also show that, for all $n\geq 0$, $\overline{B}_3(15n+7)\equiv
0 \pmod{5... | arXiv |
Bell scenarios are multipartite scenarios that exclude any communication
between parties. This constraint leads to a strict hierarchy of correlation
sets in such scenarios, namely, classical, quantum, and nonsignaling. However,
without any constraints on communication between the parties, they can realize
arbitrary cor... | arXiv |
The rapid advancement of face forgery techniques has introduced a growing
variety of forgeries. Incremental Face Forgery Detection (IFFD), involving
gradually adding new forgery data to fine-tune the previously trained model,
has been introduced as a promising strategy to deal with evolving forgery
methods. However, a ... | arXiv |
From an architectural perspective with the main goal of reducing the
effective traffic load in the network and thus gaining more operational
efficiency, optical networks have been essentially remained the same in the
recent two decades since the year 2000s with the success and then dominance of
optical-bypass mode. In ... | arXiv |
Recent advancements in medical image analysis have predominantly relied on
Convolutional Neural Networks (CNNs), achieving impressive performance in chest
X-ray classification tasks, such as the 92% AUC reported by AutoThorax-Net and
the 88% AUC achieved by ChexNet in classifcation tasks. However, in the medical
field,... | arXiv |
Nuclear magnetic resonance instruments are becoming available to the
do-it-yourself community. The challenges encountered in the endeavor to build a
magnetic resonance imaging instrument from scratch were confronted in a
four-day hackathon at Singapore University of Technology and Design in spring
2024. One day was dev... | arXiv |
We describe an algorithm to compute the stable multiplicity of a family of
irreducible representations in the cohomology of ordered configuration space of
the plane. Using this algorithm, we compute the stable multiplicities of all
families of irreducibles given by Young diagrams with $23$ boxes or less up to
cohomolog... | arXiv |
Amongst the issues plaguing the Standard Model (SM) are questions pertaining
to neutrino masses and mixings, the anomalous magnetic moment of the electron
and muon and the problem of a suitable dark matter (DM) candidate. All the
three issues can be addressed at once by extending the SM with two generations
of vector-l... | arXiv |
Machine learning is an important tool for analyzing high-dimension
hyperspectral data; however, existing software solutions are either
closed-source or inextensible research products. In this paper, we present
cuvis.ai, an open-source and low-code software ecosystem for data acquisition,
preprocessing, and model traini... | arXiv |
In this paper, we propose a conceptual framework for personalized
brain-computer interface (BCI) applications, which can offer an enhanced user
experience by customizing services to individual preferences and needs, based
on endogenous electroencephalography (EEG) paradigms including motor imagery
(MI), speech imagery ... | arXiv |
This paper presents an accelerated spherical K-means clustering algorithm for
large-scale and high-dimensional sparse document data sets. We design an
algorithm working in an architecture-friendly manner (AFM), which is a
procedure of suppressing performance-degradation factors such as the numbers of
instructions, bran... | arXiv |
Quantum secure direct communication (QSDC) enables the message sender to
directly send secure messages to the receiver through the quantum channel
without keys. Device-independent (DI) and measurement-device-independent (MDI)
QSDC protocols can enhance QSDC's practical security in theory. DI QSDC
requires extremely hig... | arXiv |
It is proved that the Chebyshev's method applied to an entire function $f$ is
a rational map if and only if $f(z) = p(z) e^{q(z)}$, for some polynomials $p$
and $q$. These are referred to as rational Chebyshev maps, and their fixed
points are discussed in this article. It is seen that $\infty$ is a parabolic
fixed poin... | arXiv |
Currently, deep learning-based instance segmentation for various applications
(e.g., Agriculture) is predominantly performed using a labor-intensive process
involving extensive field data collection using sophisticated sensors, followed
by careful manual annotation of images, presenting significant logistical and
finan... | arXiv |
A \emph{conforming partition} of a rectilinear $ n $-gon\bastien{I change
from ``a polygon'', otherwise $ n $ is not defined.} $ P $ is a partition of $
P $ into rectangles without using Steiner points (i.e., all corners of all
rectangles must lie on\bastien{Maybe add: the boundary of} $ P $). The stabbing
number of su... | arXiv |
We consider estimating the shared mean of a sequence of heavy-tailed random
variables taking values in a Banach space. In particular, we revisit and extend
a simple truncation-based mean estimator by Catoni and Giulini. While existing
truncation-based approaches require a bound on the raw (non-central) second
moment of... | arXiv |
In Radio Super Novae (RSNe) a magnetic field of $(B \, \times \, r) \, = \,
10^{16.0 \pm 0.12} \, {\rm Gauss \, \times \, cm}$ is observed; these are the
same numbers for Blue Super Giant (BSG) star explosions as for Red Super Giant
(RSG) star explosions, despite their very different wind properties. The EHT
data for M... | arXiv |
Aggregators of distributed energy resources are increasingly encouraged to
participate in wholesale market bidding. However, the delivery of the power
they are awarded can result in over-voltage or congestion issues within the
distribution network (DN). The opportunity to lease energy storage from the
utility that mana... | arXiv |
Convection in planets and stars is predicted to occur in the "ultimate
regime'' of diffusivity-free, rapidly rotating turbulence, in which flows are
characteristically unaffected by viscous and thermal diffusion. Boundary layer
diffusion, however, has historically hindered experimental study of this
regime. Here, we ut... | arXiv |
Pre-trained vision-language models provide a robust foundation for efficient
transfer learning across various downstream tasks. In the field of video action
recognition, mainstream approaches often introduce additional parameter modules
to capture temporal information. While the increased model capacity brought by
thes... | arXiv |
Most robotics applications are typically accompanied with safety restrictions
that need to be satisfied with a high degree of confidence even in environments
under uncertainty. Controlling the state distribution of a system and enforcing
such specifications as distribution constraints is a promising approach for
meetin... | arXiv |
In this article, we study the FitzHugh-Nagumo $(1,1)$--fast-slow system where
the vector fields associated to the slow/fast equations come from the reduction
of the Hodgin-Huxley model for the nerve impulse. After deriving dynamical
properties of the singular and regular cases, we perform a bifurcation analysis
and we ... | arXiv |
Let $p$ be an odd prime and $k$ be an algebraically closed field with
characteristic $p$. Booher and Cais showed that the $a$-number of a $\mathbb
Z/p \mathbb Z$-Galois cover of curves $\phi: Y \to X$ must be greater than a
lower bound determined by the ramification of $\phi$. In this paper, we provide
evidence that th... | arXiv |
Because of the rapid development and increasing public availability of
Generative Artificial Intelligence (GenAI) models and tools, educational
institutions and educators must immediately reckon with the impact of students
using GenAI. There is limited prior research on computing students' use and
perceptions of GenAI.... | arXiv |
In a system of two-dimensional electrons, a combination of broken symmetry,
interactions, and nontrivial topology can conspire to give rise to a nonlinear
transport regime, where electric current density scales as the square of
electric field. This regime has become a venue for exciting discoveries such as
the nonlinea... | arXiv |
This work investigates the self-organization of multi-agent systems into
closed trajectories, a common requirement in unmanned aerial vehicle (UAV)
surveillance tasks. In such scenarios, smooth, unbiased control signals save
energy and mitigate mechanical strain. We propose a decentralized control
system architecture t... | arXiv |
For a positive integer $k \ge 1$, a $k$-star ($k^+$-star, $k^-$-star,
respectively) is a connected graph containing a degree-$\ell$ vertex and $\ell$
degree-$1$ vertices, where $\ell = k$ ($\ell \ge k$, $1 \le \ell \le k$,
respectively). The $k^+$-star packing problem is to cover as many vertices of
an input graph $G$ ... | arXiv |
We consider the problem of allocating heterogeneous and indivisible goods
among strategic agents, with preferences over subsets of goods, when there is
no medium of exchange. This model captures the well studied problem of fair
allocation of indivisible goods. Serial-quota mechanisms are allocation
mechanisms where the... | arXiv |
We participated in track 2 of the VoiceMOS Challenge 2024, which aimed to
predict the mean opinion score (MOS) of singing samples. Our submission secured
the first place among all participating teams, excluding the official baseline.
In this paper, we further improve our submission and propose a novel
Pitch-and-Spectru... | arXiv |
We investigate the degrees of freedom of New General Relativity. This theory
is a three-parameter theory and is classified into nine irreducible types
according to the rotation symmetry of $SO(3)$ on each leaf of ADM-foliation. In
the previous work~[{\it 2410.15056[gr-qc]}], we investigated the degrees of
freedom in ty... | arXiv |
Abundant geomorphological and geochemical evidence of liquid water on the
surface of early Mars during the late Noachian and early Hesperian periods
needs to be reconciled with a fainter young Sun. While a dense CO2 atmosphere
and related warming mechanisms are potential solutions to the early Mars
climate problem, fur... | arXiv |
The accurate segmentation of retinal blood vessels plays a crucial role in
the early diagnosis and treatment of various ophthalmic diseases. Designing a
network model for this task requires meticulous tuning and extensive
experimentation to handle the tiny and intertwined morphology of retinal blood
vessels. To tackle ... | arXiv |
In a setting where segmentation models have to be built for multiple
datasets, each with its own corresponding label set, a straightforward way is
to learn one model for every dataset and its labels. Alternatively, multi-task
architectures with shared encoders and multiple segmentation heads or shared
weights with comp... | arXiv |
The coefficient algebra of a finite-dimensional Lie algebra with respect to a
faithful representation is defined as the subalgebra generated by all
coefficients of the corresponding characteristic polynomial. We establish a
connection between classical invariant theory and the coefficient algebras of
finite-dimensional... | arXiv |
Let $M_n$ be the algebra of $n \times n$ complex matrices and $\mathcal{T}_n
\subseteq M_n$ the corresponding upper-triangular subalgebra. In their
influential work, Petek and \v{S}emrl characterize Jordan automorphisms of
$M_n$ and $\mathcal{T}_n$, when $n \geq 3$, as (injective in the case of
$\mathcal{T}_n$) continu... | arXiv |
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. Whi... | arXiv |
The prevailing of artificial intelligence-of-things calls for higher
energy-efficient edge computing paradigms, such as neuromorphic agents
leveraging brain-inspired spiking neural network (SNN) models based on
spatiotemporally sparse binary activations. However, the lack of efficient and
high-accuracy deep SNN learnin... | arXiv |
High annotation costs from hiring or crowdsourcing complicate the creation of
large, high-quality datasets needed for training reliable text classifiers.
Recent research suggests using Large Language Models (LLMs) to automate the
annotation process, reducing these costs while maintaining data quality. LLMs
have shown p... | arXiv |
The demand for deploying deep convolutional neural networks (DCNNs) on
resource-constrained devices for real-time applications remains substantial.
However, existing state-of-the-art structured pruning methods often involve
intricate implementations, require modifications to the original network
architectures, and nece... | arXiv |
We report the detection of an extreme stellar prominence eruption on the M
dwarf LAMOST J044431.62+235627.9, observed through time-domain H$\alpha$
spectroscopy with the Large Sky Area Multi-Object Fiber Spectroscopic Telescope
(LAMOST). This prominence eruption was accompanied by a superflare lasting over
160.4 minute... | arXiv |
Subspace clustering seeks to identify subspaces that segment a set of n data
points into k (k<<n) groups, which has emerged as a powerful tool for analyzing
data from various domains, especially images and videos. Recently, several
studies have demonstrated the great potential of subspace clustering models for
partitio... | arXiv |
By the end of 2023, renewable sources cover 63.4% of the total electric power
demand of Chile, and in line with the global trend, photovoltaic (PV) power
shows the most dynamic increase. Although Chile's Atacama Desert is considered
the sunniest place on Earth, PV power production, even in this area, can be
highly vola... | arXiv |
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