text string | source string |
|---|---|
This paper outlines an approach for proving existence of hyperbolic
quasi-periodic invariant tori using computer assisted methods based on an a
posteriori KAM-like theorem. We implement it for the dissipative standard map
following the approach and give computer assisted proofs of existence of
invariant circles for som... | http://arxiv.org/abs/2305.04640v1 |
We prove a strong composition theorem for junta complexity and show how such
theorems can be used to generically boost the performance of property testers.
The $\varepsilon$-approximate junta complexity of a function $f$ is the
smallest integer $r$ such that $f$ is $\varepsilon$-close to a function that
depends only ... | http://arxiv.org/abs/2307.04039v1 |
Direct detection of the Cosmic Dawn and Epoch of Reionization via the
redshifted 21-cm line of neutral Hydrogen will have unprecedented implications
for studying structure formation in the early Universe. This exciting goal is
challenged by the difficulty of extracting the faint 21-cm signal buried
beneath bright astro... | http://arxiv.org/abs/2307.13545v1 |
A well-defined reward function is crucial for successful training of an
reinforcement learning (RL) agent. However, defining a suitable reward function
is a notoriously challenging task, especially in complex, multi-objective
environments. Developers often have to resort to starting with an initial,
potentially misspec... | http://arxiv.org/abs/2308.15969v1 |
The paper presents the first results of the ongoing spectropolarimetric
monitoring of magnetic fields of stars, whose chemically peculiar nature has
been previously revealed with the 1-m SAO RAS telescope. We selected the sample
candidates using the photometric data of the Kepler and TESS space missions.
The efficiency... | http://arxiv.org/abs/2305.04898v1 |
In this paper, we introduce FITS, a lightweight yet powerful model for time
series analysis. Unlike existing models that directly process raw time-domain
data, FITS operates on the principle that time series can be manipulated
through interpolation in the complex frequency domain. By discarding
high-frequency component... | http://arxiv.org/abs/2307.03756v3 |
Two popular methods to reduce discretisation effects are Symanzik improvement
and gauge field smearing in the Dirac operator. Tree-level $O(a^2)$-improved
Wilson fermions can be obtained from $O(a)$-improved Wilson fermions by adding
one dimension-6 operator to the action. For gauge field smearing one wants to
avoid th... | http://arxiv.org/abs/2310.06587v1 |
We have employed HQET to give the spin-parity quantum numbers for recently
observed bottom strange states $B_{sJ}(6063)$ and $B_{sJ}(6114)$ by LHCb
collaborations. By exploring flavour independent parameters $ \Delta_{F}^{(c)}
=\Delta_{F}^{(b)}$ and $ \lambda_{F}^{(c)} = \lambda_{F}^{(b)}$, we calculated
masses of expe... | http://arxiv.org/abs/2305.02557v1 |
We show that the homology of the partition algebras, interpreted as
appropriate Tor-groups, is isomorphic to that of the symmetric groups in a
range of degrees that increases with the number of nodes. Furthermore, we show
that when the defining parameter $\delta$ of the partition algebra is
invertible, the homology of ... | http://arxiv.org/abs/2303.07979v2 |
We study an atom-cavity hybrid system where fermionic atoms in a
one-dimensional lattice are subject to a cavity-induced dynamic gauge
potential. The gauge coupling leads to highly-degenerate steady states in which
the fermions accumulate to one edge of the lattice under an open boundary
condition. Such a phenomenon or... | http://arxiv.org/abs/2305.03891v2 |
Programmable quantum simulator using Rydberg-atom array provides a promising
route to demystifying quantum many-body physics in strongly correlated systems.
Motivated by recent realization of various quantum magnetic phases on
frustrated Rydberg-atom array, we perform numerically exact quantum Monte-Carlo
simulation to... | http://arxiv.org/abs/2302.08963v1 |
Fact-checking real-world claims often requires collecting multiple pieces of
evidence and applying complex multi-step reasoning. In this paper, we present
Program-Guided Fact-Checking (ProgramFC), a novel fact-checking model that
decomposes complex claims into simpler sub-tasks that can be solved using a
shared library... | http://arxiv.org/abs/2305.12744v1 |
Medical image analysis has become a prominent area where machine learning has
been applied. However, high quality, publicly available data is limited either
due to patient privacy laws or the time and cost required for experts to
annotate images. In this retrospective study, we designed and evaluated a
pipeline to gene... | http://arxiv.org/abs/2310.16794v2 |
Large-scale pre-trained Vision Language Models (VLMs) have proven effective
for zero-shot classification. Despite the success, most traditional VLMs-based
methods are restricted by the assumption of partial source supervision or ideal
vocabularies, which rarely satisfy the open-world scenario. In this paper, we
aim at ... | http://arxiv.org/abs/2308.12960v3 |
Quantum processing units (QPUs) are currently exclusively available from
cloud vendors. However, with recent advancements, hosting QPUs is soon possible
everywhere. Existing work has yet to draw from research in edge computing to
explore systems exploiting mobile QPUs, or how hybrid applications can benefit
from distri... | http://arxiv.org/abs/2305.05238v1 |
In this paper, we investigate metric Jordan algebras, and follow the lines of
the paper (J. Milnor: Curvatures of left invariant metrics on Lie groups. Adv.
Math. (1976)). Firstly, we define the Jordan-Levi-Civita connection, then we
show that every metric Jordan algebra admits a unique Jordan-Levi-Civita
connection. S... | http://arxiv.org/abs/2309.02682v2 |
In this paper, we present new high-probability PAC-Bayes bounds for different
types of losses. Firstly, for losses with a bounded range, we recover a
strengthened version of Catoni's bound that holds uniformly for all parameter
values. This leads to new fast-rate and mixed-rate bounds that are
interpretable and tighter... | http://arxiv.org/abs/2306.12214v4 |
We give an explicit Singular Value Decomposition of the sub-Riemannian X-ray
transform on the Heisenberg group with compact center. By studying the singular
values, we obtain a two-radius theorem for integrals over sub-Riemannian
geodesics. We also state intertwining properties of distinguished differential
operators. ... | http://arxiv.org/abs/2305.04126v1 |
In dwarf nov{\ae} and low-mass X-ray binaries, the tidal potential excites
spiral waves in the accretion disc. Spiral wave driven accretion may be
important in quiescent discs, where the angular momentum transport mechanism
has yet to be identified. Previous studies were limited to unrealistically high
temperatures for... | http://arxiv.org/abs/2304.13773v2 |
Range anxiety is a major concern of battery electric vehicles (BEVs) users or
potential users. Previous work has explored the influential factors of
distance-related range anxiety. However, time-related range anxiety has rarely
been explored. The time cost when charging or waiting to charge the BEVs can
negatively impa... | http://arxiv.org/abs/2306.05768v3 |
The distribution of small-scale magnetic fields in stellar photospheres is an
important ingredient in our understanding of the magnetism of low mass stars.
Their spatial distribution connects the field generated in the stellar interior
with the outer corona and the large scale field, and thereby affects the space
weath... | http://arxiv.org/abs/2306.02007v1 |
In this paper, we discuss the inflationary magnetogenesis scenario, in which
the coupling function is introduced to break the conformal invariance of
electromagnetic action. Unlike in conventional models, we deduce the Maxwell's
equations under the perturbed FRW metric. We found that, the self-consistency
of the action... | http://arxiv.org/abs/2307.04987v1 |
We analyze the two-dimensional electron gas (2DEG) heating by the incident
terahertz (THz) radiation in the field-effect transistor (FET) structures with
the graphene channels (GCs) and the black-phosphorus and black-arsenic gate
barrier layers (BLs). Such GC-FETs can operate as bolometric THz detectors
using the therm... | http://arxiv.org/abs/2303.08492v1 |
Self-supervised multi-frame depth estimation achieves high accuracy by
computing matching costs of pixel correspondences between adjacent frames,
injecting geometric information into the network. These pixel-correspondence
candidates are computed based on the relative pose estimates between the
frames. Accurate pose pr... | http://arxiv.org/abs/2304.03560v2 |
In some machine learning applications the availability of labeled instances
for supervised classification is limited while unlabeled instances are
abundant. Semi-supervised learning algorithms deal with these scenarios and
attempt to exploit the information contained in the unlabeled examples. In this
paper, we address... | http://arxiv.org/abs/2303.02801v1 |
Recently, transformer architectures for graphs emerged as an alternative to
established techniques for machine learning with graphs, such as
(message-passing) graph neural networks. So far, they have shown promising
empirical results, e.g., on molecular prediction datasets, often attributed to
their ability to circumve... | http://arxiv.org/abs/2302.04181v3 |
As responsible AI gains importance in machine learning algorithms, properties
such as fairness, adversarial robustness, and causality have received
considerable attention in recent years. However, despite their individual
significance, there remains a critical gap in simultaneously exploring and
integrating these prope... | http://arxiv.org/abs/2308.08938v1 |
We investigate a graph-theoretic approach to the problem of distinguishing
quantum product states in the fundamental quantum communication framework
called local operations and classical communication (LOCC). We identify
chordality as the key graph structure that drives distinguishability in one-way
LOCC, and we derive... | http://arxiv.org/abs/2305.10153v1 |
Fast radio bursts (FRBs) are millisecond radio signals from cosmological
distances. As they propagate, FRBs can interact with ambient photons and
initiate a quantum cascade that can limit the electric field strength. This
paper examines whether some observed bright and brief FRBs may challenge this
limit if the source ... | http://arxiv.org/abs/2310.14183v1 |
Language models have become very popular recently and many claims have been
made about their abilities, including for commonsense reasoning. Given the
increasingly better results of current language models on previous static
benchmarks for commonsense reasoning, we explore an alternative dialectical
evaluation. The goa... | http://arxiv.org/abs/2304.11164v1 |
The impulsive limit (the "sudden approximation") has been widely employed to
describe the interaction between molecules and short, far-off-resonant laser
pulses. This approximation assumes that the timescale of the laser--molecule
interaction is significantly shorter than the internal rotational period of the
molecule,... | http://arxiv.org/abs/2307.07256v2 |
This paper evaluates the capability of two state-of-the-art artificial
intelligence (AI) models, GPT-3.5 and Bard, in generating Java code given a
function description. We sourced the descriptions from CodingBat.com, a popular
online platform that provides practice problems to learn programming. We
compared the Java co... | http://arxiv.org/abs/2305.09402v1 |
In this paper we prove an exact formula for the number of partitions without
sequences. By work of Andrews, the corresponding generating function is a
product of a modular form and a mock theta function, giving an overall weight
of 0. The proof requires evaluating and bounding Kloosterman sums and the
Circle Method | http://arxiv.org/abs/2304.01377v2 |
Liquid spectroscopy in the mid-infrared spectral range is a very powerful,
yet premature technique for selective and sensitive molecule detection. Due to
the lack of suitable concepts and materials for versatile miniaturized sensors,
it is often still limited to bulky systems and offline analytics. Mid-infrared
plasmon... | http://arxiv.org/abs/2305.16522v1 |
Topological data analysis (TDA) provides insight into data shape. The
summaries obtained by these methods are principled global descriptions of
multi-dimensional data whilst exhibiting stable properties such as robustness
to deformation and noise. Such properties are desirable in deep learning
pipelines but they are ty... | http://arxiv.org/abs/2302.03836v1 |
Let $E\subset \mathbb R^n$, $n\ge 2$, be a set of finite perimeter with
$|E|=|B|$, where $B$ denotes the unit ball. When $n=2$, since convexification
decreases perimeter (in the class of open connected sets), it is easy to prove
the existence of a convex set $F$, with $|E|=|F|$, such that $$
P(E) - P(F) \ge c\,|E\Del... | http://arxiv.org/abs/2307.01633v2 |
This paper is about operator-theoretic methods for solving nonlinear
stochastic optimal control problems to global optimality. These methods
leverage on the convex duality between optimally controlled diffusion processes
and Hamilton-Jacobi-Bellman (HJB) equations for nonlinear systems in an ergodic
Hilbert-Sobolev spa... | http://arxiv.org/abs/2305.17628v1 |
Hadrons containing at least one heavy quark (charm or bottom) frequently have
small enough natural widths that decay modes involving a single photon have
detectable branching fractions. Photons of typical energy greater than 100 MeV
have been directly detected, while those of lower energy have only been
inferred. Here ... | http://arxiv.org/abs/2305.00354v3 |
In ordinary thermodynamics, around first-order phase transitions, the
intensive parameters such as temperature and pressure are automatically fixed
to the phase transition point when one controls the extensive parameters such
as total volume and total energy. From the microscopic point of view, the
extensive parameters... | http://arxiv.org/abs/2307.11420v1 |
The purpose of this work is to present a method based on the factorizations
used in one dimensional quantum mechanics in order to find the symmetries of
quantum and classical superintegrable systems in higher dimensions. We apply
this procedure to the harmonic oscillator and Kepler-Coulomb systems to show
the differenc... | http://arxiv.org/abs/2305.10147v1 |
Temporal credit assignment is crucial for learning and skill development in
natural and artificial intelligence. While computational methods like the TD
approach in reinforcement learning have been proposed, it's unclear if they
accurately represent how humans handle feedback delays. Cognitive models intend
to represen... | http://arxiv.org/abs/2307.08171v1 |
Liver transplantation often faces fairness challenges across subgroups
defined by sensitive attributes such as age group, gender, and race/ethnicity.
Machine learning models for outcome prediction can introduce additional biases.
Therefore, we introduce Fairness through the Equitable Rate of Improvement in
Multitask Le... | http://arxiv.org/abs/2310.13820v2 |
Confounding information in the form of text or markings embedded in medical
images can severely affect the training of diagnostic deep learning algorithms.
However, data collected for clinical purposes often have such markings embedded
in them. In dermatology, known examples include drawings or rulers that are
overrepr... | http://arxiv.org/abs/2303.13918v1 |
Maximal center gauge (MCG) aims to detect some of the most important vacuum
configurations, suggesting thick magnetic flux tubes quantised to non-trivial
center elements of the gauge group being responsible for confinement. Due to
the NP-hardness of a global maximization of the gauge functional only numeric
procedures ... | http://arxiv.org/abs/2301.05903v2 |
We present a complete algebraic classification of the Lie symmetries for
generalized Zoomeron equations. For the generalized 1+1 and 2+1 Zoomeron
equations we solve the Lie symmetry conditions in order to constrain the free
functions of the equations. We find that the differential equations of our
consideration admit t... | http://arxiv.org/abs/2305.09416v1 |
The preferential attachment model is a natural and popular random graph model
for a growing network that contains very well-connected ``hubs''. We study the
higher-order connectivity of such a network by investigating the topological
properties of its clique complex. We concentrate on the expected Betti numbers,
a sequ... | http://arxiv.org/abs/2305.11259v3 |
Contrastive learning (CL) has emerged as a powerful technique for
representation learning, with or without label supervision. However, supervised
CL is prone to collapsing representations of subclasses within a class by not
capturing all their features, and unsupervised CL may suppress harder
class-relevant features by... | http://arxiv.org/abs/2305.16536v2 |
Clinical factors account only for a small portion, about 10-30%, of the
controllable factors that affect an individual's health outcomes. The remaining
factors include where a person was born and raised, where he/she pursued their
education, what their work and family environment is like, etc. These factors
are collect... | http://arxiv.org/abs/2302.03822v2 |
We analyse new signals of a 3-Higgs Doublet Model (3HDM) at the Large Hadron
Collider (LHC) where only one doublet acquires a Vacuum Expectation Value
(VEV), preserving a $Z_2$ parity. The other two doublets are \textit{inert} and
do not develop a VEV, leading to a \textit{dark scalar sector} controlled by
$Z_2$, with ... | http://arxiv.org/abs/2310.06593v1 |
In group sequential analysis, data is collected and analyzed in batches until
pre-defined stopping criteria are met. Inference in the parametric setup
typically relies on the limiting asymptotic multivariate normality of the
repeatedly computed maximum likelihood estimators (MLEs), a result first
rigorously proved by J... | http://arxiv.org/abs/2302.06782v1 |
In this paper, we study the pointwise convergence of some continuous-time
polynomial ergodic averages. Our method is based on the topological models of
measurable flows. One of main results of the paper is as follow. Let
$(X,\mathcal{X},\mu, (T^{t})_{t\in \mathbb{R}})$ and $(X,\mathcal{X},\mu,
(S^{t})_{t\in \mathbb{R}}... | http://arxiv.org/abs/2310.16780v1 |
Leveraging nearest neighbor retrieval for self-supervised representation
learning has proven beneficial with object-centric images. However, this
approach faces limitations when applied to scene-centric datasets, where
multiple objects within an image are only implicitly captured in the global
representation. Such glob... | http://arxiv.org/abs/2310.07855v2 |
This paper is concerned with model predictive control (MPC) of discrete-time
linear systems subject to bounded additive disturbance and mixed constraints on
the state and input, whereas the true disturbance set is unknown. Unlike most
existing work on robust MPC, we propose an algorithm incorporating online
learning th... | http://arxiv.org/abs/2304.05105v2 |
Reconfigurable intelligent surface (RIS) is a promising technology that can
reshape the electromagnetic environment in wireless networks, offering various
possibilities for enhancing wireless channels. Motivated by this, we
investigate the channel optimization for multiple-input multiple-output (MIMO)
systems assisted ... | http://arxiv.org/abs/2307.13237v2 |
Let $G$ be a finite $p$-group, and $\alpha$ an automorphism of the group
algebra ${\mathbb F}_pG$. Then $\alpha$ fixes the socle of ${\mathbb F}_pG$
pointwise. More generally, if $k$ is a field of characteristic $p$, and
$\alpha$ is a $k$-algebra automorphism of $kG$, then $\alpha$ induces a linear
action on the dimens... | http://arxiv.org/abs/2303.09940v1 |
This work documents the initial 3D calculations to simulate the coupling
between radio-frequency (RF) waves and plasma in discharges of the SPIDER
device. Axisymmetric 3D calculations in the plasma domain alone compare well
against equivalent 2D cases. A model of SPIDER driver, the cylindrical chamber
where the plasma ... | http://arxiv.org/abs/2310.09878v1 |
To achieve human-like behaviour during speech interactions, it is necessary
for a humanoid robot to estimate the location of a human talker. Here, we
present a method to optimize the parameters used for the direction of arrival
(DOA) estimation, while also considering real-time applications for human-robot
interaction ... | http://arxiv.org/abs/2307.12129v1 |
We study the distribution of orbits of a lattice
$\Gamma\leq\text{SL}(3,\mathbb R)$ in the moduli space $X_{2,3}$ of covolume
one rank-two discrete subgroups in $\mathbb R^3$. Each orbit is dense, and our
main result is the limiting distribution of these orbits with respect to norm
balls, where the norm is given by the... | http://arxiv.org/abs/2305.04132v3 |
Transformer-based large language models have remarkable potential to
accelerate design optimization for applications such as drug development and
materials discovery. Self-supervised pretraining of transformer models requires
large-scale datasets, which are often sparsely populated in topical areas such
as polymer scie... | http://arxiv.org/abs/2310.16958v1 |
Deep reinforcement learning (DRL) has achieved tremendous success in many
complex decision-making tasks of autonomous systems with high-dimensional state
and/or action spaces. However, the safety and stability still remain major
concerns that hinder the applications of DRL to safety-critical autonomous
systems. To addr... | http://arxiv.org/abs/2303.16860v1 |
Stationary counter-rotating longitudinal vortex pairs emerge from
one-dimensional Prandtl slope flows under katabatic as well as anabatic
conditions due to a linear instability when the imposed surface heat flux
magnitude is sufficiently strong relative to the stable ambient stratification.
For anabatic flows, these vo... | http://arxiv.org/abs/2306.02013v1 |
With the imaging and characterization of the horizon-scale images of M87* and
Sgr A* by the Event Horizon Telescope (EHT), it has become possible to resolve
the near-horizon region of astrophysical black holes. As a result, there has
been considerable interest in the implications of the measurement of the shadow
size, ... | http://arxiv.org/abs/2307.15120v1 |
We experimentally demonstrate stable trapping and controlled manipulation of
silica microspheres in a structured optical beam consisting of a dark focus
surrounded by light in all directions - the so-called Dark Focus Tweezer.
Results from power spectrum and potential analysis demonstrate the
non-harmonicity of the tra... | http://arxiv.org/abs/2302.01953v2 |
Stellar evolution theory predicts multiple pathways to the explosive deaths
of stars as supernovae. Locating and characterizing the progenitors of
well-studied supernovae is important to constrain the theory, and to justify
and design future surveys to improve on progenitor detections. Here we report
the serendipitous ... | http://arxiv.org/abs/2305.14447v2 |
We propose a novel way to improve the generalisation capacity of deep
learning models by reducing high correlations between neurons. For this, we
present two regularisation terms computed from the weights of a minimum
spanning tree of the clique whose vertices are the neurons of a given network
(or a sample of those), ... | http://arxiv.org/abs/2308.04870v1 |
We compare the evolution of binary systems evolved in the MESA stellar
evolution code to those in the COSMIC population synthesis code. Our aim is to
convey the robustness of the equations that model binary evolution in the
COSMIC code, particularly for the cases of high mass stars with closely
orbiting compact object ... | http://arxiv.org/abs/2305.13328v1 |
Daily objects embedded in a contextual environment are often ungraspable
initially. Whether it is a book sandwiched by other books on a fully packed
bookshelf or a piece of paper lying flat on the desk, a series of nonprehensile
pregrasp maneuvers is required to manipulate the object into a graspable state.
Humans are ... | http://arxiv.org/abs/2305.04654v1 |
The fidelity is widely used to detect quantum phase transitions, which is
characterized by either a sharp change of fidelity or the divergence of
fidelity susceptibility in the thermodynamical limit when the phase-driving
parameter is across the transition point. In this work, we unveil that the
occurrence of exact zer... | http://arxiv.org/abs/2310.11951v2 |
We report the detailed analysis of temperature dependent neutron diffraction
pattern of the Cr$_2$CoAl inverse Heusler alloy and unveil the magnetic
structure up to the phase transition as well as its fully compensated
ferrimagnetic nature. The Rietveld refinement of the diffraction pattern using
the space group I$\bar... | http://arxiv.org/abs/2303.11869v1 |
We present a robust and computationally efficient approach for assigning
partial charges of atoms in molecules. The method is based on a hierarchical
tree constructed from attention values extracted from a graph neural network
(GNN), which was trained to predict atomic partial charges from accurate
quantum-mechanical (... | http://arxiv.org/abs/2305.15981v2 |
The aim of this paper is fourfold: (i) to obtain explicit formulas for the
eigenpairs of perturbed tridiagonal block Toeplitz matrices; (ii) to make use
of such formulas in order to provide a mathematical justification of the
non-Hermitian skin effect in dimer systems by proving the condensation of the
system's bulk ei... | http://arxiv.org/abs/2307.13551v1 |
We present a model of cold QCD matter that bridges nuclear and quark matter
through the duality relation between quarks and baryons. The baryon number and
energy densities are expressed as functionals of either the baryon momentum
distribution, $f_{\rm B}$, or the quark distribution, $f_{\rm Q}$, which are
subject to t... | http://arxiv.org/abs/2306.04304v2 |
The use of Neural Networks (NNs) for sensitive data processing is becoming
increasingly popular, raising concerns about data privacy and security.
Homomorphic Encryption (HE) has the potential to be used as a solution to
preserve data privacy in NN. This study provides a comprehensive analysis on
the use of HE for NN t... | http://arxiv.org/abs/2305.02225v1 |
In this paper we generalise the theory of real vector bundles to a certain
class of non-Hausdorff manifolds. In particular, it is shown that every vector
bundle fibred over these non-Hausdorff manifolds can be constructed as a
colimit of standard vector bundles. We then use this description to introduce
various formula... | http://arxiv.org/abs/2306.14117v1 |
Model selection in the context of bandit optimization is a challenging
problem, as it requires balancing exploration and exploitation not only for
action selection, but also for model selection. One natural approach is to rely
on online learning algorithms that treat different models as experts. Existing
methods, howev... | http://arxiv.org/abs/2307.12897v2 |
The theory of mixed finite element methods for solving different types of
elliptic partial differential equations in saddle point formulation is well
established since many decades. This topic was mostly studied for variational
formulations defined upon the same product spaces of both shape- and test-pairs
of primal va... | http://arxiv.org/abs/2307.03742v2 |
In recent years, online question-answering (Q&A) platforms, such as Stack
Exchange (SE), have become increasingly popular as a source of information and
knowledge sharing. Despite the vast amount of information available on these
platforms, many questions remain unresolved. In this work, we aim to address
this issue by... | http://arxiv.org/abs/2303.00964v2 |
Gribov-Zwanziger prescription in Yang-Mills theory improves the infrared
dynamics. In this work, we study the static potential of a heavy
quark-antiquark pair with the HTL resummed perturbation method within the
Gribov-Zwanziger approach at finite temperature. The real and imaginary parts
of the heavy quark complex pot... | http://arxiv.org/abs/2305.16250v2 |
Given a monomial ideal $I$, we study two functions that quantify ways to
measure the difference between symbolic powers and usual powers of $I$. In many
cases we determine the asymptotic growth rate of these two functions. We also
perform explicit computations by using the symbolic polyhedron. | http://arxiv.org/abs/2310.12280v4 |
While avatars have grown in popularity in social settings, their use in the
workplace is still debatable. We conducted a large-scale survey to evaluate
knowledge worker sentiment towards avatars, particularly the effects of realism
on their acceptability for work meetings. Our survey of 2509 knowledge workers
from mult... | http://arxiv.org/abs/2304.01405v2 |
A corpus of vector-embedded text documents has some empirical distribution.
Given two corpora, we want to calculate a single metric of distance (e.g.,
Mauve, Frechet Inception) between them. We describe an abstract quality, called
`distributionality', of such metrics. A non-distributional metric tends to use
very local... | http://arxiv.org/abs/2310.14829v1 |
In this work, we investigate the implicit regularization induced by
teacher-student learning dynamics in self-distillation. To isolate its effect,
we describe a simple experiment where we consider teachers at random
initialization instead of trained teachers. Surprisingly, when distilling a
student into such a random t... | http://arxiv.org/abs/2302.12091v2 |
In this paper, an attempt is made to construct a
Friedmann-Lemaitre-Robertson-Walker model in $f(R,T)$ gravity with a perfect
fluid that yields acceleration at late times. We take $f(R,T)$ as $R$ + $8\pi
\mu T$. As in the $\Lambda$CDM model, we take the matter to consist of two
components, viz., $\Omega_m$ and $\Omega_... | http://arxiv.org/abs/2304.11616v1 |
We compare the acoustic Su-Schrieffer-Heeger (SSH) model with two of its
optical variants where the phonons are defined on either on the sites or bonds
of the system. First, we discuss how to make fair comparisons between these
models in any dimension by ensuring their dimensionless coupling $\lambda$ and
relevant phon... | http://arxiv.org/abs/2307.10058v1 |
We investigate the situation when a normal positive linear unital map on a
semifinite von Neumann algebra leaving the trace invariant does not change
fixed quantum Renyi's entropy of the density of a normal state. It is also
shown that such a map does not change the entropy of any density if and only if
it is a Jordan ... | http://arxiv.org/abs/2302.02282v1 |
The precise definition of causality is currently an open problem in
philosophy and statistics. We believe causality should be defined as functions
(in mathematics) that map causes to effects. We propose a reductive definition
of causality based on Structural Functional Model (SFM). Using delta
compression and contrasti... | http://arxiv.org/abs/2307.07524v1 |
Participant recruitment based on unstructured medical texts such as clinical
notes and radiology reports has been a challenging yet important task for the
cohort establishment in clinical research. Recently, Large Language Models
(LLMs) such as ChatGPT have achieved tremendous success in various downstream
tasks thanks... | http://arxiv.org/abs/2307.11346v1 |
Relying on a two-measurement characterization phase, a gain profile model for
dual-stage EDFAs is presented and validated in full spectral load condition. It
precisely reproduces the EDFA dynamics varying the target gain and tilts
parameters as shown experimentally on two commercial items from different
vendors. | http://arxiv.org/abs/2310.05924v1 |
We present the first experimental observation of above-threshold ionization
(ATI) electrons produced by ionization of the neon K-shell in a laser field
where intensity exceeds 10$^{20}$ W/cm$^{2}$. An array of plastic scintillating
calorimeter detectors was used to measure the high-energy electrons at four
angles in th... | http://arxiv.org/abs/2306.09620v1 |
Cloud-native containerized applications constantly seek high-performance and
easy-to-operate container network solutions. RDMA network is a potential
enabler with higher throughput and lower latency than the standard TCP/IP
network stack. However, several challenges remain in equipping containerized
applications with R... | http://arxiv.org/abs/2305.10621v1 |
We test the possibility that the black holes (BHs) detected by
LIGO-Virgo-KAGRA (LVK) may be cosmologically coupled and grow in mass
proportionally to the cosmological scale factor to some power $k$, which may
also act as the dark energy source if $k\approx 3$. This approach was proposed
as an extension of Kerr BHs emb... | http://arxiv.org/abs/2307.02474v2 |
This paper presents the FlowTransformer framework, a novel approach for
implementing transformer-based Network Intrusion Detection Systems (NIDSs).
FlowTransformer leverages the strengths of transformer models in identifying
the long-term behaviour and characteristics of networks, which are often
overlooked by most exi... | http://arxiv.org/abs/2304.14746v1 |
The generation of high-quality, long-sequenced time-series data is essential
due to its wide range of applications. In the past, standalone Recurrent and
Convolutional Neural Network-based Generative Adversarial Networks (GAN) were
used to synthesize time-series data. However, they are inadequate for
generating long se... | http://arxiv.org/abs/2307.12667v2 |
We investigate dynamic reconfigurable component-based systems whose
architectures are described by formulas of Propositional Configuration Logics.
We present several examples of reconfigurable systems based on well-known
architectures, and state preliminary decidability results. | http://arxiv.org/abs/2303.00794v2 |
We have investigated an isotropic and homogeneous cosmological model of the
universe in $f(R, T^{\phi})$ gravity, where $T^{\phi}$ is the trace of the
energy-momentum tensor and $R$ is the Ricci scalar. We developed and presented
exact solutions of field equations of the proposed model by taking the
parametrization $q(... | http://arxiv.org/abs/2308.04858v1 |
Locality is a crucial property for efficiently optimising black-box problems
with randomized search heuristics. However, in practical applications, it is
not likely to always find such a genotype encoding of candidate solutions that
this property is upheld with respect to the Hamming distance. At the same time,
it may ... | http://arxiv.org/abs/2306.02985v1 |
Catalysts are quantum systems that open up dynamical pathways between quantum
states which are otherwise inaccessible under a given set of operational
restrictions while, at the same time, they do not change their quantum state.
We here consider the restrictions imposed by symmetries and conservation laws,
where any qu... | http://arxiv.org/abs/2301.09877v3 |
Graphlet counting is an important problem as it has numerous applications in
several fields, including social network analysis, biological network analysis,
transaction network analysis, etc. Most of the practical networks are dynamic.
A graphlet is a subgraph with a fixed number of vertices and can be induced or
non-i... | http://arxiv.org/abs/2308.14493v1 |
This letter is concerned with the secrecy performance of reconfigurable
intelligent surfaces (RIS)-aided wireless networks in the existence of multiple
interferers towards the destination. To be more precise, we analyze three
critical issues in the design of secure RIS-assisted networks: 1) How do
interferers affect th... | http://arxiv.org/abs/2302.10876v1 |
Realizing the potential gains of large-scale MIMO systems requires the
accurate estimation of their channels or the fine adjustment of their narrow
beams. This, however, is typically associated with high channel
acquisition/beam sweeping overhead that scales with the number of antennas.
Machine and deep learning repres... | http://arxiv.org/abs/2301.07682v1 |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.