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Quantum state preparation is vital in quantum computing and information
processing. The ability to accurately and reliably prepare specific quantum
states is essential for various applications. One of the promising applications
of quantum computers is quantum simulation. This requires preparing a quantum
state represen... | http://arxiv.org/abs/2308.01844v2 |
It is essential to select efficient topology of parameterized quantum
circuits (PQCs) in variational quantum algorithms (VQAs). However, there are
problems in current circuits, i.e. optimization difficulties caused by too many
parameters or performance is hard to guarantee. How to reduce the number of
parameters (numbe... | http://arxiv.org/abs/2308.10791v1 |
Achieving both high-performance and wide field-of-view (FOV) super-resolution
imaging has been attracting increasing attention in recent years. However, such
goal suffers from long reconstruction time and huge storage space. Parallel
compressive imaging (PCI) provides an efficient solution, but the
super-resolution qua... | http://arxiv.org/abs/2310.14965v1 |
Momentum correlation functions of light (anti)nuclei formed by the
coalescence mechanism of (anti)nucleons are calculated for several central
heavy-ion collision systems, namely $_{5}^{10}\textrm{B}+_{5}^{10}\textrm{B}$,
$_{8}^{16}\textrm{O}+_{8}^{16}\textrm{O}$,
$_{20}^{40}\textrm{Ca}+_{20}^{40}\textrm{Ca}$ as well as... | http://arxiv.org/abs/2301.02846v1 |
Due to the slow convergence and poor tracking ability, conventional LMS-based
adaptive algorithms are less capable of handling dynamic noises. Selective
fixed-filter active noise control (SFANC) can significantly reduce response
time by selecting appropriate pre-trained control filters for different noises.
Nonetheless... | http://arxiv.org/abs/2303.05788v1 |
We prove local Lipschitz regularity for local minimiser of \[
W^{1,1}(\Omega)\ni v\mapsto \int_\Omega F(Dv)\, dx \] where $\Omega\subseteq
{\mathbb R}^N$, $N\ge 2$ and $F:{\mathbb R}^N\to {\mathbb R}$ is a
quasiuniformly convex integrand in the sense of Kovalev and Maldonado, i.e. a
convex $C^1$-function such that the ... | http://arxiv.org/abs/2304.00657v2 |
Question and answer generation (QAG) consists of generating a set of
question-answer pairs given a context (e.g. a paragraph). This task has a
variety of applications, such as data augmentation for question answering (QA)
models, information retrieval and education. In this paper, we establish
baselines with three diff... | http://arxiv.org/abs/2305.17002v1 |
Menu system design for user interfaces is a challenging task involving many
design options and various human factors. For example, one crucial factor that
designers need to consider is the semantic and systematic relation of menu
commands. However, capturing these relations can be challenging due to limited
available r... | http://arxiv.org/abs/2303.04496v3 |
This paper investigates the beta decay of nuclei within the sd model space,
encompassing the $0d_{3/2}$, $0d_{5/2}$, and $1s_{1/2}$ shells. We
comprehensively analyze their decay characteristics, including the half-life,
$logft$ value, Q value, branching ratio, B(GT) value, M(GT), and R(GT) value.
These results are com... | http://arxiv.org/abs/2307.09445v2 |
Technology plays a crucial role in people's lives. However, software
engineering discriminates against individuals from underrepresented groups in
several ways, either through algorithms that produce biased outcomes or for the
lack of diversity and inclusion in software development environments and
academic courses foc... | http://arxiv.org/abs/2303.05950v2 |
Tensor train (TT) representation has achieved tremendous success in visual
data completion tasks, especially when it is combined with tensor folding.
However, folding an image or video tensor breaks the original data structure,
leading to local information loss as nearby pixels may be assigned into
different dimensions... | http://arxiv.org/abs/2306.11123v1 |
Atomic nuclei can exhibit shape coexistence and multi-reference physics that
enters in their ground states, and to accurately capture the ensuing
correlations and entanglement is challenging. We address this problem by
applying single-reference coupled-cluster theory based on spherical and
deformed reference states and... | http://arxiv.org/abs/2305.07577v1 |
The need to explain the output of a deep neural network classifier is now
widely recognized. While previous methods typically explain a single class in
the output, we advocate explaining the whole output, which is a probability
distribution over multiple classes. A whole-output explanation can help a human
user gain an... | http://arxiv.org/abs/2306.06339v1 |
In this paper, we study the singularities of Feynman integrals using
homological techniques. We analyse the Feynman integrals by compactifying the
integration domain as well as the ambient space by embedding them in
higher-dimensional space. In this compactified space the singularities occur
due to the meeting of compa... | http://arxiv.org/abs/2305.08644v2 |
Entanglement is a major resource in advanced quantum technology, where it can
enable secure exchange of information over large distances. Energy-time
entanglement is particularly attractive for its beneficial robustness in
fiber-based quantum communication and can be demonstrated in the Franson
interferometer. We repor... | http://arxiv.org/abs/2301.05697v2 |
Prior work has developed numerous systems that test the security and safety
of smart homes. For these systems to be applicable in practice, it is necessary
to test them with realistic scenarios that represent the use of the smart home,
i.e., home automation, in the wild. This demo paper presents the technical
details a... | http://arxiv.org/abs/2308.06695v1 |
Graph Neural Networks (GNNs) have exhibited impressive performance in many
graph learning tasks. Nevertheless, the performance of GNNs can deteriorate
when the input graph data suffer from weak information, i.e., incomplete
structure, incomplete features, and insufficient labels. Most prior studies,
which attempt to le... | http://arxiv.org/abs/2305.18457v1 |
This paper studies the performance of deep convolutional neural networks
(DCNNs) with zero-padding in feature extraction and learning. After verifying
the roles of zero-padding in enabling translation-equivalence, and pooling in
its translation-invariance driven nature, we show that with similar number of
free paramete... | http://arxiv.org/abs/2307.16203v1 |
In the big data era researchers face a series of problems. Even standard
approaches/methodologies, like linear regression, can be difficult or
problematic with huge volumes of data. Traditional approaches for regression in
big datasets may suffer due to the large sample size, since they involve
inverting huge data matr... | http://arxiv.org/abs/2305.00218v2 |
We show that transformer-based large language models are computationally
universal when augmented with an external memory. Any deterministic language
model that conditions on strings of bounded length is equivalent to a finite
automaton, hence computationally limited. However, augmenting such models with
a read-write m... | http://arxiv.org/abs/2301.04589v1 |
In this paper we consider a communication system with one transmitter and one
receiver. The transmit antennas are partitioned into disjoint groups, and each
group must satisfy an average power constraint in addition to the standard
overall one. The optimal power allocation (OPA) for the transmit antennas is
obtained fo... | http://arxiv.org/abs/2305.01106v1 |
We consider, for $h, E > 0$, resolvent estimates for the semiclassical
Schr\"odinger operator $-h^2 \Delta + V - E$. Near infinity, the potential
takes the form $V = V_L+ V_S$, where $V_L$ is a long range potential which is
Lipschitz with respect to the radial variable, while $V_S = O(|x|^{-1} (\log
|x|)^{-\rho})$ for ... | http://arxiv.org/abs/2306.00748v2 |
The popularity of data augmentation techniques in machine learning has
increased in recent years, as they enable the creation of new samples from
existing datasets. Rotational augmentation, in particular, has shown great
promise by revolving images and utilising them as additional data points for
training. This researc... | http://arxiv.org/abs/2306.07027v1 |
This article is devoted to the study of several estimations for a positive
solution to a nonlinear weighted parabolic equation on a weighted Riemannian
manifold. We therefore derive new Li-Yau type and Hamilton type gradient
estimates yielding several consequences. We also derive Hessian estimate and
some corollaries f... | http://arxiv.org/abs/2303.13854v1 |
Spiking Neural Networks (SNNs) have attracted significant attention from
researchers across various domains due to their brain-like information
processing mechanism. However, SNNs typically grapple with challenges such as
extended time steps, low temporal information utilization, and the requirement
for consistent time... | http://arxiv.org/abs/2304.06540v2 |
Speaker-independent VSR is a complex task that involves identifying spoken
words or phrases from video recordings of a speaker's facial movements. Over
the years, there has been a considerable amount of research in the field of VSR
involving different algorithms and datasets to evaluate system performance.
These effort... | http://arxiv.org/abs/2306.08314v1 |
In this paper we present a memristor-inspired computational method for
obtaining a type of running spectrogram or fingerprint of epileptiform activity
generated by rodent hippocampal spheroids. It can be used to compute on the fly
and with low computational cost an alert-level signal for epileptiform events
onset. Here... | http://arxiv.org/abs/2307.04607v1 |
Multiple-Input Multiple-Output (MIMO) systems are essential for wireless
communications. Sinceclassical algorithms for symbol detection in MIMO setups
require large computational resourcesor provide poor results, data-driven
algorithms are becoming more popular. Most of the proposedalgorithms, however,
introduce approx... | http://arxiv.org/abs/2303.07821v1 |
Quantum entanglement plays a crucial role in quantum computing. Entangling
information has important implications for understanding the behavior of
quantum programs and avoiding entanglement-induced errors. Entanglement
analysis is a static code analysis technique that determines which qubit may
entangle with another q... | http://arxiv.org/abs/2304.05049v1 |
Autonomous vehicles are widely considered an imperative element of future
transportation systems, and their adoption is expected to reduce traffic
congestion. What is an effective vehicle control to reduce it? This study
explores the impact of different vehicle control strategies on traffic flow
through simulations. To... | http://arxiv.org/abs/2308.14291v1 |
Arrays of Rydberg atoms have appeared as a remarkably rich playground to
study quantum phase transitions in one dimension. One of the biggest puzzles
that was brought forward in this context are chiral phase transitions out of
density waves. Theoretically predicted chiral transition out of period-four
phase is still pe... | http://arxiv.org/abs/2308.12838v3 |
Training Large Language Models (LLMs) incurs significant cost; hence, any
strategy that accelerates model convergence is helpful. In this paper, we
investigate the ability of a simple idea checkpoint averaging along the
trajectory of a training run to improve both convergence and generalization
quite early on during tr... | http://arxiv.org/abs/2306.03241v2 |
An in-depth insight into the chemistry and nature of the individual chemical
bonds is essential for understanding materials. Bonding analysis is thus
expected to provide important features for large-scale data analysis and
machine learning of material properties. Such chemical bonding information can
be computed using ... | http://arxiv.org/abs/2304.02726v2 |
We present a novel application of category theory for deep learning. We show
how category theory can be used to understand and work with the linear layer
functions of group equivariant neural networks whose layers are some tensor
power space of $\mathbb{R}^{n}$ for the groups $S_n$, $O(n)$, $Sp(n)$, and
$SO(n)$. By usi... | http://arxiv.org/abs/2304.14144v1 |
We study a 4-orbital tight-binding (TB) model for ZrSiS from the square
sublattice generated by the Si atoms. After studying three other alternatives,
we endow such model with a new effective spin-orbit coupling (SOC) consistent
with {\em ab initio} dispersions around the Fermi energy ($E_F$) in four
systematic steps: ... | http://arxiv.org/abs/2304.03438v3 |
We report the generation, trapping and sympathetic cooling of individual
conformers of molecular ions with the example of cis- and
trans-meta-aminostyrene. Following conformationally selective photoionization,
the incorporation of the conformers into a Coulomb crystal of laser-cooled
calcium ions was confirmed by fluor... | http://arxiv.org/abs/2308.03935v1 |
A multiplicative hyperring is a well-known type of algebraic hyperstructures
which extend a ring to a structure in which the addition is an operation but
multiplication is a hyperoperation. Let G be a commutative multiplicative
hyperring and s,n \in Z^+. A proper hyperideal Q of G is called (weakly)
(s,n)-closed if (0 ... | http://arxiv.org/abs/2305.13502v1 |
This paper presents a generalization of quantum mechanics from conventional
Hilbert space formalism to Banach space one. We construct quantum theory
starting with any complex Banach space beyond a complex Hilbert space, through
using a basic fact that a complex Banach space always admits a semi-inner
product. Precisely... | http://arxiv.org/abs/2306.05630v1 |
Normalized-cut graph partitioning aims to divide the set of nodes in a graph
into $k$ disjoint clusters to minimize the fraction of the total edges between
any cluster and all other clusters. In this paper, we consider a fair variant
of the partitioning problem wherein nodes are characterized by a categorical
sensitive... | http://arxiv.org/abs/2307.12065v1 |
Achieving efficient and robust multi-channel data learning is a challenging
task in data science. By exploiting low-rankness in the transformed domain,
i.e., transformed low-rankness, tensor Singular Value Decomposition (t-SVD) has
achieved extensive success in multi-channel data representation and has
recently been ex... | http://arxiv.org/abs/2303.00196v3 |
The variational quantum imaginary time evolution algorithm is efficient in
finding the ground state of a quantum Hamiltonian. This algorithm involves
solving a system of linear equations in a classical computer and the solution
is then used to propagate a quantum wavefunction. Here, we show that owing to
the noisy natu... | http://arxiv.org/abs/2306.13046v2 |
For a proper submodule $N$ of a finitely generated module $M$ over a
Noetherian ring, the product of prime ideals which occur in a regular prime
extension filtration of $M$ over $N$ is defined as its generalized prime ideal
factorization in $M$. In this article, we find conditions for a product of
prime ideals to be th... | http://arxiv.org/abs/2308.14285v1 |
Hypergraphs have emerged as a powerful modeling framework to represent
systems with multiway interactions, that is systems where interactions may
involve an arbitrary number of agents. Here we explore the properties of
real-world hypergraphs, focusing on the encapsulation of their hyperedges,
which is the extent that s... | http://arxiv.org/abs/2307.04613v1 |
Mirror symmetry originally envisions a correspondence between deformations of
the A-side and deformations of the B-side. In this paper, we achieve an
explicit correspondence in the case of punctured surfaces.
The starting point is the noncommutative mirror equivalence $
\operatorname{Gtl} Q \cong \operatorname{mf} (\... | http://arxiv.org/abs/2305.12608v2 |
The addition of Foley sound effects during post-production is a common
technique used to enhance the perceived acoustic properties of multimedia
content. Traditionally, Foley sound has been produced by human Foley artists,
which involves manual recording and mixing of sound. However, recent advances
in sound synthesis ... | http://arxiv.org/abs/2304.12521v4 |
Software is vital for the advancement of biology and medicine. Analysis of
usage and impact metrics can help developers determine user and community
engagement, justify additional funding, encourage additional use, identify
unanticipated use cases, and help define improvement areas. However, there are
challenges associ... | http://arxiv.org/abs/2306.03255v1 |
We present a novel approach for explaining Gaussian processes (GPs) that can
utilize the full analytical covariance structure present in GPs. Our method is
based on the popular solution concept of Shapley values extended to stochastic
cooperative games, resulting in explanations that are random variables. The GP
explan... | http://arxiv.org/abs/2305.15167v1 |
Image-text contrastive learning models such as CLIP have demonstrated strong
task transfer ability. The high generality and usability of these visual models
is achieved via a web-scale data collection process to ensure broad concept
coverage, followed by expensive pre-training to feed all the knowledge into
model weigh... | http://arxiv.org/abs/2301.07094v1 |
Very-high-energy (VHE) photons around TeV energies from a gamma-ray burst
(GRB) jet will play an essential role in the multi-messenger era, with a fair
fraction of the events being observed off-axis to the jet. We show that
different energy photons (MeV and TeV photons in particular) arrive from
different emission zone... | http://arxiv.org/abs/2306.14729v1 |
The Discrete Logarithm Problem (DLP) for elliptic curves has been extensively
studied since, for instance, it is the core of the security of cryptosystems
like Elliptic Curve Cryptography (ECC). In this paper, we present an attack to
the DLP for elliptic curves based on its connection to the problem of lifting,
by usin... | http://arxiv.org/abs/2304.14150v1 |
Neural Architecture Search (NAS) benchmarks significantly improved the
capability of developing and comparing NAS methods while at the same time
drastically reduced the computational overhead by providing meta-information
about thousands of trained neural networks. However, tabular benchmarks have
several drawbacks tha... | http://arxiv.org/abs/2303.16938v1 |
Large language models (LLMs) have achieved widespread success on a variety of
in-context few-shot tasks, but this success is typically evaluated via
correctness rather than consistency. We argue that self-consistency is an
important criteria for valid multi-step reasoning in tasks where the solution
is composed of the ... | http://arxiv.org/abs/2305.14279v4 |
In recent experiments, unprecedentedly large values for the conductivity of
electrolytes through carbon nanotubes (CNTs) have been measured, possibly owing
to flow slip and a high pore surface charge density whose origin is still
unknown. By accounting for the coupling between the {quantum} CNT and the
{classical} elec... | http://arxiv.org/abs/2307.12071v1 |
Accessing high-quality video content can be challenging due to insufficient
and unstable network bandwidth. Recent advances in neural enhancement have
shown promising results in improving the quality of degraded videos through
deep learning. Neural-Enhanced Streaming (NES) incorporates this new approach
into video stre... | http://arxiv.org/abs/2310.09920v2 |
Fast radio bursts (FRBs) are brief, luminous pulses with unknown physical
origin. The repetition pattern of FRBs contains essential information about
their physical nature and emission mechanisms. Using the two largest samples of
FRB 20121102A and FRB 20201124, we report that the sources of the two FRBs
reveal memory o... | http://arxiv.org/abs/2302.06802v2 |
In today's Internet, HTTP Adaptive Streaming (HAS) is the mainstream standard
for video streaming, which switches the bitrate of the video content based on
an Adaptive BitRate (ABR) algorithm. An effective Quality of Experience (QoE)
assessment metric can provide crucial feedback to an ABR algorithm. However,
predictin... | http://arxiv.org/abs/2303.09818v1 |
Domestic activities classification (DAC) from audio recordings aims at
classifying audio recordings into pre-defined categories of domestic
activities, which is an effective way for estimation of daily activities
performed in home environment. In this paper, we propose a method for DAC from
audio recordings using a mul... | http://arxiv.org/abs/2306.05624v1 |
In symbolic regression, the goal is to find an analytical expression that
accurately fits experimental data with the minimal use of mathematical symbols
such as operators, variables, and constants. However, the combinatorial space
of possible expressions can make it challenging for traditional evolutionary
algorithms t... | http://arxiv.org/abs/2304.10336v1 |
Motivated by the fact that input distributions are often unknown in advance,
distribution-free property testing considers a setting where the algorithmic
task is to accept functions $f : [n] \to \{0,1\}$ with a certain property P and
reject functions that are $\eta$-far from P, where the distance is measured
according ... | http://arxiv.org/abs/2308.08874v2 |
The paper deals with the construction of the asymptotic soliton-like and the
asymptotic peakon-like solutions to the modified Camassa-Holm equation with
variable coefficicents and a singular perturbation. This equation is a
generalization of the well known modified Camassa-Holm equation which is
integrable system and i... | http://arxiv.org/abs/2307.11578v3 |
We compute the fake degrees of representations of classical Weyl groups in
terms of domino tableaux. | http://arxiv.org/abs/2304.08579v3 |
This work presents a sequential convex program method to compute fuel-optimal
collision avoidance maneuvers for long-term encounters. The low-thrust
acceleration model is used to account for the control, but the method can
compute high-thrust maneuvers by increasing the maximum available acceleration.
Dealing with the ... | http://arxiv.org/abs/2307.06004v2 |
Many computations in robotics can be dramatically accelerated if the robot
configuration space is described as a collection of simple sets. For example,
recently developed motion planners rely on a convex decomposition of the free
space to design collision-free trajectories using fast convex optimization. In
this work,... | http://arxiv.org/abs/2310.02875v2 |
State-of-the-art non-autoregressive text-to-speech (TTS) models based on
FastSpeech 2 can efficiently synthesise high-fidelity and natural speech. For
expressive speech datasets however, we observe characteristic audio
distortions. We demonstrate that such artefacts are introduced to the vocoder
reconstruction by over-... | http://arxiv.org/abs/2306.01442v1 |
We show that heat production in slowly driven quantum systems is linked to
the topological structure of the driving protocol through the Fubini-Study
tensor. Analyzing a minimal model of a spin weakly coupled to a heat bath, we
find that dissipation is controlled by the quantum metric and a "quality
factor" characteriz... | http://arxiv.org/abs/2306.17220v2 |
We theoretically analyze phonon-assisted tunneling transport in a quantum dot
side connected to a Majorana bound state in a topological superconducting
nanowire. We investigate the behavior of the current through the dot, for a
range of experimentally relevant parameters, in the presence of one long-wave
optical phonon... | http://arxiv.org/abs/2303.12586v2 |
We present the Gel'fand-Kapranov-Zelevinsky (GKZ) hypergeometric systems of
the Feynman integrals of the three-loop vacuum diagrams with arbitrary masses,
basing on Mellin-Barnes representations and Miller's transformation. The
codimension of derived GKZ hypergeometric systems equals the number of
independent dimension... | http://arxiv.org/abs/2303.02795v3 |
While large language models (LLMs) have been successfully applied to various
tasks, they still face challenges with hallucinations. Augmenting LLMs with
domain-specific tools such as database utilities can facilitate easier and more
precise access to specialized knowledge. In this paper, we present GeneGPT, a
novel met... | http://arxiv.org/abs/2304.09667v3 |
$f(T)$ cosmology has shown promise in explaining aspects of cosmic evolution.
In this work, we analyze constraints on leading models of $f(T)$ gravity in the
context of the recently released Pantheon+ data set, together with comparisons
with previous releases. We also consider other late-time data sets including
cosmic... | http://arxiv.org/abs/2303.13840v1 |
In this paper we present a complete framework for the energy-stable
simulation of stratified incompressible flow in channels, using the
one-dimensional two-fluid model. Building on earlier energy-conserving work on
the basic two-fluid model, our new framework includes diffusion, friction, and
surface tension. We show t... | http://arxiv.org/abs/2310.13978v1 |
Evaluating the relevance of an exogenous data series is the first step in
improving the prediction capabilities of a forecast algorithm. Inspired by
existing metrics for time series similarity, we introduce a new approach named
FARM - Forward Aligned Relevance Metric. Our forward method relies on an
angular measure tha... | http://arxiv.org/abs/2304.11028v2 |
While Knowledge Graph Completion (KGC) on static facts is a matured field,
Temporal Knowledge Graph Completion (TKGC), that incorporates validity time
into static facts is still in its nascent stage. The KGC methods fall into
multiple categories including embedding-based, rule-based, GNN-based,
pretrained Language Mode... | http://arxiv.org/abs/2305.11301v1 |
Cartesian differential categories come equipped with a differential
combinator which axiomatizes the fundamental properties of the total derivative
from differential calculus. The objective of this paper is to understand when
the Kleisli category of a monad is a Cartesian differential category. We
introduce Cartesian d... | http://arxiv.org/abs/2308.06859v2 |
It has been known that all bipartite pure quantum states can be self-tested,
i.e., any such state can be certified completely by initially measuring both
subsystems of this state by proper local quantum measurements and subsequently
verifying that the correlation between the measurement choices and the outcomes
satisfi... | http://arxiv.org/abs/2306.07755v1 |
Stokes-Einstein (SE) relation, which relates diffusion constant with the
viscosity of a liquid at high temperatures in equilibrium, is violated in the
supercooled temperature regime. Whether this relation is obeyed in
nonequilibrium active liquids is a question of significant current interest to
the statistical physics... | http://arxiv.org/abs/2306.10229v1 |
We introduce injective semantics for Conjunctive Regular Path Queries
(CRPQs), and study their fundamental properties. We identify two such
semantics: atom-injective and query-injective semantics, both defined in terms
of injective homomorphisms. These semantics are natural generalizations of the
well-studied class of ... | http://arxiv.org/abs/2304.06232v1 |
Text-to-motion generation has gained increasing attention, but most existing
methods are limited to generating short-term motions that correspond to a
single sentence describing a single action. However, when a text stream
describes a sequence of continuous motions, the generated motions corresponding
to each sentence ... | http://arxiv.org/abs/2308.01850v1 |
It is well-known that real-world changes constituting distribution shift
adversely affect model performance. How to characterize those changes in an
interpretable manner is poorly understood. Existing techniques to address this
problem take the form of shift explanations that elucidate how to map samples
from the origi... | http://arxiv.org/abs/2305.16308v1 |
The Transformer-based detectors (i.e., DETR) have demonstrated impressive
performance on end-to-end object detection. However, transferring DETR to
different data distributions may lead to a significant performance degradation.
Existing adaptation techniques focus on model-based approaches, which aim to
leverage featur... | http://arxiv.org/abs/2307.00313v1 |
Conventional coherent absorption occurs only when two incident beams exhibit
mirror symmetry with respect to the absorbing surface, i.e., the two beams have
the same incident angles, phases, and amplitudes. In this work, we propose a
more general metasurface paradigm for coherent perfect absorption, with
impinging wave... | http://arxiv.org/abs/2301.02852v1 |
The paper describes several applications of information inequalities to
problems in database theory. The problems discussed include: upper bounds of a
query's output, worst-case optimal join algorithms, the query domination
problem, and the implication problem for approximate integrity constraints. The
paper is self-co... | http://arxiv.org/abs/2304.11996v4 |
Berger et al. (2001) and Ren et al. (2012) derived noninformative priors for
Gaussian process models of spatially correlated data using the reference prior
approach (Berger, Bernardo, 1991). The priors have good statistical properties
and provide a basis for objective Bayesian analysis (Berger, 2006). Using a
trust-reg... | http://arxiv.org/abs/2307.08997v1 |
We consider Gradient Gibbs measures corresponding to a periodic boundary law
for a generalized SOS model with spin values from a countable set, on Cayley
trees. On the Cayley tree, detailed information on Gradient Gibbs measures for
models of SOS type are given in \cite{3, 16,8,11} and we continue the works for
the gen... | http://arxiv.org/abs/2309.00867v1 |
In order to improve reproducibility, deep reinforcement learning (RL) has
been adopting better scientific practices such as standardized evaluation
metrics and reporting. However, the process of hyperparameter optimization
still varies widely across papers, which makes it challenging to compare RL
algorithms fairly. In... | http://arxiv.org/abs/2306.01324v1 |
The intracluster medium (ICM) is the low-density diffuse magnetized plasma in
galaxy clusters, which reaches virial temperatures of up to 10^8 K. Under these
conditions, the plasma is weakly collisional and therefore has an anisotropic
pressure tensor with respect to the local direction of the magnetic field. This
trig... | http://arxiv.org/abs/2307.09451v2 |
We consider the problem of minimising the $L^\infty$ norm of a function of
the hessian over a class of maps, subject to a mass constraint involving the
$L^\infty$ norm of a function of the gradient and the map itself. We assume
zeroth and first order Dirichlet boundary data, corresponding to the ``hinged"
and the ``cla... | http://arxiv.org/abs/2303.05944v2 |
Twinned regression methods are designed to solve the dual problem to the
original regression problem, predicting differences between regression targets
rather then the targets themselves. A solution to the original regression
problem can be obtained by ensembling predicted differences between the targets
of an unknown ... | http://arxiv.org/abs/2301.01383v1 |
In this paper we propose a generalization of the Grothendieck inequality for
pairs of Banach spaces $E$ and $F$ with $E$ being finite dimensional and
investigate the behaviour of the Grothendieck constant $K_G(E,F)$ implicit in
such an inequality. We show that if $\sup\{K_G(E_n,F): n\geqslant 1\}$ is
finite for some se... | http://arxiv.org/abs/2305.13270v1 |
In quantum networks, effective entanglement routing facilitates remote
entanglement communication between quantum source and quantum destination
nodes. Unlike routing in classical networks, entanglement routing in quantum
networks must consider the quality of entanglement qubits (i.e., entanglement
fidelity), presentin... | http://arxiv.org/abs/2304.04425v1 |
In the last decade, damage detection approaches swiftly changed from advanced
signal processing methods to machine learning and especially deep learning
models, to accurately and non-intrusively estimate the state of the beam
structures. But as the deep learning models reached their peak performances,
also their limita... | http://arxiv.org/abs/2305.03063v2 |
Graph neural network (GNN) is a powerful learning approach for graph-based
recommender systems. Recently, GNNs integrated with contrastive learning have
shown superior performance in recommendation with their data augmentation
schemes, aiming at dealing with highly sparse data. Despite their success, most
existing grap... | http://arxiv.org/abs/2302.08191v3 |
We continue our previous studies of the shocks in the lossy Josephson
transmission line (JTL). The paper consists of two parts. In the first part we
analyse the scattering of the "sound' (small amplitude small wave vector
harmonic wave) on the shock wave and calculate the reflection and the
transmission coefficients. I... | http://arxiv.org/abs/2307.15078v6 |
This paper presents, in a unified fashion, deterministic as well as
statistical Lagrangian-verification techniques. They formally quantify the
behavioral robustness of any time-continuous process, formulated as a
continuous-depth model. To this end, we review LRT-NG, SLR, and GoTube,
algorithms for constructing a tight... | http://arxiv.org/abs/2308.12192v1 |
Locally real states of electromagnetic radiation derived from the underlying
quantum mechanical formalism are shown to provide an alternative basis for
definite polarized states of the widely accepted probabilistic interpretation.
The locally real states traverse common loop configurations without invoking
non-local su... | http://arxiv.org/abs/2307.02504v1 |
Ranking functions that are used in decision systems often produce disparate
results for different populations because of bias in the underlying data.
Addressing, and compensating for, these disparate outcomes is a critical
problem for fair decision-making. Recent compensatory measures have mostly
focused on opaque tran... | http://arxiv.org/abs/2307.14366v2 |
In this paper, we present a proof of the NP-completeness of computing the
smallest Deterministic Finite Automaton (DFA) that distinguishes two given
regular languages as DFAs. A distinguishing DFA is an automaton that recognizes
a language which is a subset of exactly one of the given languages. We
establish the NP-har... | http://arxiv.org/abs/2306.03533v1 |
Utilizing the James Webb Space Telescope Early Release NIRCam Observations,
we perform a weak-lensing analysis of the massive galaxy cluster SMACS
J0723.3-7327 ($z=0.39$). We investigate the spatial variation of the PSF from
the stars in the mosaic image. Our measurements show that the PSF for both
modules has very sma... | http://arxiv.org/abs/2304.02054v1 |
Fully homomorphic encryption (FHE) is an encryption method that allows to
perform computation on encrypted data, without decryption. FHE preserves the
privacy of the users of online services that handle sensitive data, such as
health data, biometrics, credit scores and other personal information. A common
way to provid... | http://arxiv.org/abs/2302.10906v1 |
We consider the problem of repeatedly auctioning a single item to multiple
i.i.d buyers who each use a no-regret learning algorithm to bid over time. In
particular, we study the seller's optimal revenue, if they know that the buyers
are no-regret learners (but only that their behavior satisfies some no-regret
property ... | http://arxiv.org/abs/2307.04175v1 |
Modern geometric approaches to analytical mechanics rest on a bundle
structure of the configuration space. The connection on this bundle allows for
an intrinsic splitting of the reduced Euler-Lagrange equations. Hamel's
equations, on the other hand, provide a universal approach to non-holonomic
mechanics in local coord... | http://arxiv.org/abs/2305.05412v1 |
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