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We prove that if the geodesic flow on a surface has an integral,
fractional-linear in momenta, then the dimension of the space of such integrals
is either 3 or 5, the latter case corresponding to constant gaussian curvature.
We give also a geometric criterion for existence of fractional-linear
integrals: such integral ... | http://arxiv.org/abs/2306.17540v1 |
The Inner Tracking System (ITS) of the ALICE experiment at CERN will undergo
an upgrade during the LHC long shutdown 3, in which the three innermost
tracking layers will be replaced. This upgrade, named the Inner Tracking System
3 (ITS3), employs stitched wafer-scale Monolithic Active Pixel Sensors
fabricated in a 65 n... | http://arxiv.org/abs/2309.14814v2 |
Generating geometric 3D reconstructions from Neural Radiance Fields (NeRFs)
is of great interest. However, accurate and complete reconstructions based on
the density values are challenging. The network output depends on input data,
NeRF network configuration and hyperparameter. As a result, the direct usage of
density ... | http://arxiv.org/abs/2309.14800v1 |
Two-band electronic structures with a valence and a conduction band separated
by a tunable energy gap and with pairing of electrons in different channels can
be relevant to investigate the properties of two-dimensional multiband
superconductors and electron-hole superfluids, as monolayer FeSe, recently
discovered super... | http://arxiv.org/abs/2301.13795v1 |
Electron dynamics of anatase TiO$_2$ under the influence of ultrashort and
intense laser field is studied using the real-time time-dependent density
functional theory (TDDFT). Our findings demonstrate the effectiveness of TDDFT
calculations in modeling the electron dynamics of solids during ultrashort
laser excitation,... | http://arxiv.org/abs/2306.17554v1 |
An ugly duckling is an obviously different skin lesion from surrounding
lesions of an individual, and the ugly duckling sign is a criterion used to aid
in the diagnosis of cutaneous melanoma by differentiating between highly
suspicious and benign lesions. However, the appearance of pigmented lesions,
can change drastic... | http://arxiv.org/abs/2309.09689v1 |
Recent observations of the light component of the cosmic-ray spectrum have
revealed unexpected features that motivate further and more precise
measurements up to the highest energies. The Dark Matter Particle Explorer is a
satellite-based cosmic-ray experiment that has been operational since December
2015, continuously... | http://arxiv.org/abs/2304.00137v5 |
The ability to grasp and manipulate small objects in cluttered environments
remains a significant challenge. This paper introduces a novel approach that
utilizes a tactile sensor-equipped gripper with eight degrees of freedom to
overcome these limitations. We employ DenseTact 2.0 for the gripper, enabling
precise contr... | http://arxiv.org/abs/2308.16480v1 |
In this paper, the order boundedness and essential norm of generalized
weighted composition operators on Bergman spaces with doubling weights are
characterized. Specially, we estimate the essential norm of these operators on
weighted Bergman spaces by using the reduce order method. | http://arxiv.org/abs/2309.09851v1 |
Spin and charge pumping induced by a precessing magnetization has been
instrumental to the development of spintronics. Nonetheless, most theoretical
studies so far treat the spin-orbit coupling as a perturbation, which
disregards the competition between exchange and spin-orbit fields. In this
work, based on Keldysh for... | http://arxiv.org/abs/2309.08597v2 |
Fourier Neural Operator (FNO) is a popular operator learning framework. It
not only achieves the state-of-the-art performance in many tasks, but also is
efficient in training and prediction. However, collecting training data for the
FNO can be a costly bottleneck in practice, because it often demands expensive
physical... | http://arxiv.org/abs/2309.16971v4 |
We assess the impact of accurate, self-consistent modelling of thermal
effects in neutron-star merger remnants in the context of third-generation
gravitational-wave detectors. This is done through the usage, in Bayesian model
selection experiments, of numerical-relativity simulations of binary neutron
star (BNS) merger... | http://arxiv.org/abs/2310.20378v1 |
Observations of pulsar scintillation are among the few astrophysical probes
of very small-scale ($\lesssim$ au) phenomena in the interstellar medium (ISM).
In particular, characterization of scintillation arcs, including their
curvature and intensity distributions, can be related to interstellar
turbulence and potentia... | http://arxiv.org/abs/2309.13809v2 |
The addition of contextual sensors to mobile radiation sensors provides
valuable information about radiological source encounters that can assist in
adjudication of alarms. This study explores how computer-vision based object
detection and tracking analyses can be used to augment radiological data from a
mobile detecto... | http://arxiv.org/abs/2309.06592v1 |
We introduce a new model of the evolution of the concentration of dark matter
halos, c(t). For individual halos, our model approximates c(t) as a power law
with a time-dependent index, such that at early times, concentration has a
nearly constant value of c=3-4, and as cosmic time progresses, c(t) smoothly
increases. U... | http://arxiv.org/abs/2309.07854v2 |
Hallucination in text summarization refers to the phenomenon where the model
generates information that is not supported by the input source document.
Hallucination poses significant obstacles to the accuracy and reliability of
the generated summaries. In this paper, we aim to reduce hallucinated outputs
or hallucinati... | http://arxiv.org/abs/2309.16781v1 |
Restricted Boltzmann Machines (RBMs) are widely used probabilistic undirected
graphical models with visible and latent nodes, playing an important role in
statistics and machine learning. The task of structure learning for RBMs
involves inferring the underlying graph by using samples from the visible
nodes. Specificall... | http://arxiv.org/abs/2309.14196v1 |
Transferring a significant fraction of the magnetic flux from a dense cloud
core is essential in the star formation process. A ring-like structure produced
by magnetic flux loss has been predicted theoretically, but no observational
identification has been presented. We have performed ALMA observations of the
Class I p... | http://arxiv.org/abs/2309.13821v2 |
We present SignAvatars, the first large-scale, multi-prompt 3D sign language
(SL) motion dataset designed to bridge the communication gap for Deaf and
hard-of-hearing individuals. While there has been an exponentially growing
number of research regarding digital communication, the majority of existing
communication tec... | http://arxiv.org/abs/2310.20436v3 |
Optomechanical crystals (OMCs) are a promising and versatile platform for
transduction between mechanical and optical fields. However, the release from
the substrate used in conventional suspended OMCs also prevents heat-carrying
noise phonons from rapidly leaking away. Thermal anchoring may be improved by
attaching th... | http://arxiv.org/abs/2303.18091v1 |
We study the response of generating functionals to a variation of parameters
(couplings) in equilibrium systems i.e. in quantum field theory (QFT) and
equilibrium statistical mechanics. These parameters can be either physical ones
such as coupling constants or artificial ones which are intentionally
introduced such as ... | http://arxiv.org/abs/2309.10496v1 |
The ability to prepare systems in specific target states through quantum
engineering is essential for realizing the new technologies promised by a
second quantum revolution. Here, we recast the fundamental problem of state
preparation in high-dimensional Hilbert spaces as ManQala, a quantum game
inspired by the West Af... | http://arxiv.org/abs/2302.14582v1 |
In parking problems, a given number of cars enter a one-way street
sequentially, and try to park according to a specified preferred spot in the
street. Various models are possible depending on the chosen rule for
collisions, when two cars have the same preferred spot. We study a model
introduced by Harris, Kamau, Mori,... | http://arxiv.org/abs/2309.11788v2 |
The pulsar magnetosphere is divided into a corotating region of closed field
lines surrounded by open field lines that emanate from the two poles of the
star, extend to infinity and are separated by an equatorial current sheet. The
three regions meet at a magnetospheric Y-point. In steady-state solutions of
the ideal f... | http://arxiv.org/abs/2309.10482v1 |
Sensing capabilities as an integral part of the network have been identified
as a novel feature of sixth-generation (6G) wireless networks. As a key driver,
millimeterwave (mmWave) communication largely boosts speed, capacities, and
connectivity. In order to maximize the potential of mmWave communication,
precise and f... | http://arxiv.org/abs/2305.00544v1 |
While many piezoelectric materials are known, there is still great potential
to improve on the figures of merit of existing materials through compositional
doping, forming solid solutions. Specifically, it has been shown that doping
and alloying wurtzite-structured materials can improve the piezoelectric
response; howe... | http://arxiv.org/abs/2309.03398v1 |
Some multi-agent scenarios call for the possibility of evaluating
specifications in a richer domain of truth values. Examples include runtime
monitoring of a temporal property over a growing prefix of an infinite path,
inconsistency analysis in distributed databases, and verification methods that
use incomplete anytime... | http://arxiv.org/abs/2310.20344v1 |
Galactic winds play essential roles in the evolution of galaxies through the
feedback they provide. Despite intensive studies of winds, the radial
distributions of their properties and feedback are rarely observable. Here we
present such measurements for the prototypical starburst galaxy, M 82, based on
observations by... | http://arxiv.org/abs/2310.00094v1 |
Reconfigurable intelligent surface (RIS) is an emerging technology allowing
to control the propagation environment in wireless communications. Recently,
beyond diagonal RIS (BD-RIS) has been proposed to reach higher performance than
conventional RIS, at the expense of higher circuit complexity. Multiple BD-RIS
architec... | http://arxiv.org/abs/2305.19773v2 |
Many computational linguistic methods have been proposed to study the
information content of languages. We consider two interesting research
questions: 1) how is information distributed over long documents, and 2) how
does content reduction, such as token selection and text summarization, affect
the information density... | http://arxiv.org/abs/2309.06009v1 |
Text-conditioned image generation models have recently achieved astonishing
image quality and alignment results. Consequently, they are employed in a
fast-growing number of applications. Since they are highly data-driven, relying
on billion-sized datasets randomly scraped from the web, they also produce
unsafe content.... | http://arxiv.org/abs/2309.11575v1 |
We establish a tunneling formula for a Schr\"odinger operator with symmetric
double-well potential and homogeneous magnetic field, in dimension two. Each
well is assumed to be radially symmetric and compactly supported. We obtain an
asymptotic formula for the difference between the two first eigenvalues of this
operato... | http://arxiv.org/abs/2309.15713v1 |
Safety-critical systems with neural network components require strong
guarantees. While existing neural network verification techniques have shown
great progress towards this goal, they cannot prove the absence of software
faults in the network implementation. This paper presents NeuroCodeBench - a
verification benchma... | http://arxiv.org/abs/2309.03617v1 |
Beyond the extensively studied microcavity polaritons, which are coupled
modes of semiconductor excitons and microcavity photons, nearly 2D
semiconductors placed in a suitable environment can support spatially localized
exciton-polariton modes. We demonstrate theoretically that two distinct types
of such modes can exis... | http://arxiv.org/abs/2309.16568v1 |
The extensive ubiquitous availability of sensors in smart devices and the
Internet of Things (IoT) has opened up the possibilities for implementing
sensor-based activity recognition. As opposed to traditional sensor time-series
processing and hand-engineered feature extraction, in light of deep learning's
proven effect... | http://arxiv.org/abs/2310.03760v1 |
Singularities in any physical theory are either remarkable indicators of the
unknown underlying fundamental theory, or indicate a change in the description
of the physical reality. In General Relativity there are three fundamental
kinds of singularities that might occur, firstly the black hole spacelike
crushing singul... | http://arxiv.org/abs/2309.07465v2 |
Deep neural networks show great success when input vectors are in an
Euclidean space. However, those classical neural networks show a poor
performance when inputs are phylogenetic trees, which can be written as vectors
in the tropical projective torus. Here we propose tropical embedding to
transform a vector in the tro... | http://arxiv.org/abs/2309.13410v1 |
Many meetings require creating a meeting summary to keep everyone up to date.
Creating minutes of sufficient quality is however very cognitively demanding.
Although we currently possess capable models for both audio speech recognition
(ASR) and summarization, their fully automatic use is still problematic. ASR
models f... | http://arxiv.org/abs/2309.05272v1 |
Spontaneous symmetry breaking of a U(1) symmetry in interacting systems leads
to superfluidity of a corresponding conserved charge. We generalize the
superfluidity to systems with U(1) symmetries acting on both matter fields and
2D spatial coordinates. Such systems can be effectively realized in easy-plane
ferromagneti... | http://arxiv.org/abs/2309.12068v3 |
The Western Ghats mountain range holds critical importance in regulating
monsoon rainfall across Southern India, with a profound impact on regional
agriculture. Here, we analyze daily wet-day rainfall data for the monsoon
months between 1901-2022 for the Northern, Middle, and Southern Western Ghats
regions. Motivated b... | http://arxiv.org/abs/2309.03165v1 |
One of the most natural connections between quantum and classical machine
learning has been established in the context of kernel methods. Kernel methods
rely on kernels, which are inner products of feature vectors living in large
feature spaces. Quantum kernels are typically evaluated by explicitly
constructing quantum... | http://arxiv.org/abs/2309.14419v2 |
In this article, we present system design of D-band multi-input multi-output
(MIMO) frequency-modulated continuous-wave (FMCW) radar for indoor wireless
sensing. A uniform rectangular array (URA) of radar elements is used for 2D
direction-of-arrival (DOA) estimation. The DOA estimation accuracy of the MIMO
radar array ... | http://arxiv.org/abs/2309.17110v3 |
To celebrate the 30th edition of EXPRESS and the 20th edition of SOS we
overview how session types can be expressed in a type theory for the standard
$\pi$-calculus by means of a suitable encoding. The encoding allows one to
reuse results about the $\pi$-calculus in the context of session-based
communications, thus dee... | http://arxiv.org/abs/2309.07303v1 |
The features in many prediction models naturally take the form of a
hierarchy. The lower levels represent individuals or events. These units group
naturally into locations and intervals or other aggregates, often at multiple
levels. Levels of groupings may intersect and join, much as relational database
tables do. Besi... | http://arxiv.org/abs/2306.17795v1 |
Speech enhancement systems are typically trained using pairs of clean and
noisy speech. In audio-visual speech enhancement (AVSE), there is not as much
ground-truth clean data available; most audio-visual datasets are collected in
real-world environments with background noise and reverberation, hampering the
developmen... | http://arxiv.org/abs/2309.08030v4 |
Correlated states of light, both classical and quantum, can find useful
applications in the implementation of several imaging techniques. Among the
employed sources, pseudo-thermal states, generated by the passage of a laser
beam through a diffuser, represent the standard choice. To produce light with a
higher level of... | http://arxiv.org/abs/2309.17138v2 |
Ensuring safety in dynamic multi-agent systems is challenging due to limited
information about the other agents. Control Barrier Functions (CBFs) are
showing promise for safety assurance but current methods make strong
assumptions about other agents and often rely on manual tuning to balance
safety, feasibility, and pe... | http://arxiv.org/abs/2309.10657v2 |
Scientific articles published prior to the "age of digitization" (~1997)
require Optical Character Recognition (OCR) to transform scanned documents into
machine-readable text, a process that often produces errors. We develop a
pipeline for the generation of a synthetic ground truth/OCR dataset to correct
the OCR result... | http://arxiv.org/abs/2309.11549v1 |
Insight into individual driving behavior and habits is essential in traffic
operation, safety, and energy management. With Connected Vehicle (CV)
technology aiming to address all three of these, the identification of driving
patterns is a necessary component in the design of personalized Advanced Driver
Assistance Syst... | http://arxiv.org/abs/2302.14743v1 |
In this paper, we consider a compact five dimensional spacetime with the
structure $\mathcal{M}^{1,3}\times S^{1}$. Generally speaking, motion on such a
structure will break Lorentz invariance, allowing for causal bulk signals to
propagate superluminally. Based on recent articles, we calculate the anomalous
function of... | http://arxiv.org/abs/2309.16226v1 |
Geminga is an enigmatic radio-quiet gamma-ray pulsar located at a mere 250 pc
distance from Earth. Extended very-high-energy gamma-ray emission around the
pulsar has been detected by multiple water Cherenkov detector based
instruments. However, the detection of extended TeV gamma-ray emission around
the Geminga pulsar ... | http://arxiv.org/abs/2308.16669v1 |
Fact verification aims to verify a claim using evidence from a trustworthy
knowledge base. To address this challenge, algorithms must produce features for
every claim that are both semantically meaningful, and compact enough to find a
semantic alignment with the source information. In contrast to previous work,
which t... | http://arxiv.org/abs/2309.16540v3 |
Graph transformers have gained popularity in various graph-based tasks by
addressing challenges faced by traditional Graph Neural Networks. However, the
quadratic complexity of self-attention operations and the extensive layering in
graph transformer architectures present challenges when applying them to graph
based pr... | http://arxiv.org/abs/2309.10131v1 |
Two bounded linear operators $A$ and $B$ are parallel with respect to a norm
$\|\cdot\|$ if $\|A+\mu B\| = \|A\| + \|B\|$ for some scalar $\mu$ with $|\mu|
= 1$. Characterization is obtained for bijective linear maps sending parallel
bounded linear operators to parallel bounded linear operators with respect to
the Ky-F... | http://arxiv.org/abs/2309.14357v1 |
Symmetric extensions are essential in quantum mechanics, providing a lens to
investigate the correlations of entangled quantum systems and to address
challenges like the quantum marginal problem. Though semi-definite programming
(SDP) is a recognized method for handling symmetric extensions, it grapples
with computatio... | http://arxiv.org/abs/2309.04144v1 |
It was generally assumed that the Stokes parameters are complete
characterization for the state of polarization of a plane light wave so that
their counterparts in quantum optics, called the Stokes operators, represent
the polarization of photons. Here we show, through analyzing the properties of
polarized plane waves ... | http://arxiv.org/abs/2309.12726v1 |
For a fixed integer $r \geq 1$, a distance-$r$ dominating set (D$r$DS) of a
graph $G = (V, E)$ is a vertex subset $D \subseteq V$ such that every vertex in
$V$ is within distance $r$ from some member of $D$. Given two D$r$DSs $D_s,
D_t$ of $G$, the Distance-$r$ Dominating Set Reconfiguration (D$r$DSR) problem
asks if t... | http://arxiv.org/abs/2310.00241v2 |
We demonstrate that it is possible to construct operators that stabilize the
constraint-satisfying subspaces of computational problems in their Ising
representations. We provide an explicit recipe to construct unitaries and
associated measurements given a set of constraints. The stabilizer measurements
allow the detect... | http://arxiv.org/abs/2310.20191v2 |
Noakes and Stoyanov (2021) introduced a method of recovering strictly convex
planar obstacles from their set of travelling times. We provide an extension of
this construction for obstacles on Riemannian surfaces under some general
curvature conditions. It is required that no smooth geodesic intersect more
than two obst... | http://arxiv.org/abs/2309.04150v1 |
Lately, Large Language Models have been widely used in code generation. GPT4
is considered the most potent Large Language Model from Openai. In this paper,
we examine GPT3.5 and GPT4 as coding assistants. More specifically, we have
constructed appropriate tests to check whether the two systems can a) answer
typical que... | http://arxiv.org/abs/2309.12732v1 |
A novel approach is suggested for improving the accuracy of fault detection
in distribution networks. This technique combines adaptive probability learning
and waveform decomposition to optimize the similarity of features. Its
objective is to discover the most appropriate linear mapping between simulated
and real data ... | http://arxiv.org/abs/2310.00255v1 |
We examine Crewther's relation at high loop order in perturbative QCD and
demonstrate how the relation is accommodated in gauge-parameter dependent
schemes where the running of the gauge parameter has to be explicitly
considered. Motivated by ensuring that the conformal properties of the relation
are preserved at all t... | http://arxiv.org/abs/2309.16554v2 |
We investigate the Teukolsky equation in horizon-penetrating coordinates to
study the behavior of perturbation waves crossing the outer horizon. For this
purpose, we use the null ingoing/outgoing Eddington-Finkelstein coordinates.
The first derivative of the radial equation is a Fuchsian differential equation
with an a... | http://arxiv.org/abs/2309.09474v1 |
We consider and propose a new problem of retrieving audio files relevant to
multimodal design document inputs comprising both textual elements and visual
imagery, e.g., birthday/greeting cards. In addition to enhancing user
experience, integrating audio that matches the theme/style of these inputs also
helps improve th... | http://arxiv.org/abs/2302.14757v1 |
The matrix element (ME) calculation in any Monte Carlo physics event
generator is an ideal fit for implementing data parallelism with lockstep
processing on GPUs and vector CPUs. For complex physics processes where the ME
calculation is the computational bottleneck of event generation workflows, this
can lead to large ... | http://arxiv.org/abs/2303.18244v2 |
The deployment of machine learning solutions in real-world scenarios often
involves addressing the challenge of out-of-distribution (OOD) detection. While
significant efforts have been devoted to OOD detection in classical supervised
settings, the context of weakly supervised learning, particularly the Multiple
Instanc... | http://arxiv.org/abs/2309.05528v2 |
Machine learning techniques have shown their competence for representing and
reasoning in symbolic systems such as language and phonology. In Sinitic
Historical Phonology, notable tasks that could benefit from machine learning
include the comparison of dialects and reconstruction of proto-languages
systems. Motivated b... | http://arxiv.org/abs/2307.01209v1 |
Deep work by Shintani in the 1970's describes Hecke $L$-functions associated
to narrow ray class group characters of totally real fields $F$ in terms of
what are now known as Shintani zeta functions. However, for $[F:\mathbb{Q}] = n
\geq 3$, Shintani's method was ineffective due to its crucial dependence on
abstract fu... | http://arxiv.org/abs/2307.16775v2 |
Our goal is for robots to follow natural language instructions like "put the
towel next to the microwave." But getting large amounts of labeled data, i.e.
data that contains demonstrations of tasks labeled with the language
instruction, is prohibitive. In contrast, obtaining policies that respond to
image goals is much... | http://arxiv.org/abs/2307.00117v2 |
We study the classical non-linear dynamics of the $SU(2)$ Yang-Mills matrix
model introduced in [1] as a low-energy approximation to two-color QCD.
Restricting to the spin-0 sector of the model, we unearth an unexpected
tetrahedral symmetry, which endows the dynamics with an extraordinarily rich
structure. Amongst othe... | http://arxiv.org/abs/2303.17822v1 |
This paper accompanies a new dataset of non-linear real arithmetic problems
for the SMT-LIB benchmark collection. The problems come from an automated proof
procedure of Gerhold--Kauers, which is well suited for solution by SMT. The
problems of this type have not been tackled by SMT-solvers before. We describe
the proof... | http://arxiv.org/abs/2307.16761v1 |
The aim of this short note is twofold. We formulate the general
Kermack-McKendrick epidemic model incorporating static heterogeneity and show
how it simplifies to a scalar Renewal Equation (RE) when separable mixing is
assumed. A key feature is that all information about the heterogeneity is
encoded in one nonlinear re... | http://arxiv.org/abs/2307.16749v1 |
The renormalisation group flow of a Hermitian field theory is shown to have
trajectories which lead to a non-Hermitian Parity-Time ($\mathcal{PT}$)
symmetric field theory for an axion coupled to a fermion in spacetime
dimensions $D=4-\epsilon$, where $\epsilon >0 $. In this renormalisable field
theory, the Dirac fermio... | http://arxiv.org/abs/2302.14780v4 |
This paper presents a new safe control framework for Euler-Lagrange (EL)
systems with limited model information, external disturbances, and measurement
uncertainties. The EL system is decomposed into two subsystems called the proxy
subsystem and the virtual tracking subsystem. An adaptive safe controller based
on barri... | http://arxiv.org/abs/2309.04839v1 |
The high-pressure growth technique generally plays an important role in the
improvement of the sample quality and the enhancement of various physical and
magnetic properties of materials. The high gas pressure technique provides a
large sample space (10-15 cm) to grow various kinds of materials. In this
paper, we intro... | http://arxiv.org/abs/2310.00282v1 |
Large language models have achieved impressive performance on various natural
language processing tasks. However, so far they have been evaluated primarily
on benchmarks where all information in the input context is relevant for
solving the task. In this work, we investigate the distractibility of large
language models... | http://arxiv.org/abs/2302.00093v3 |
We have mapped the NGC 2023 reflection nebula in the 63 and 145 micron
transitions of [O I] and the 158 micron [C II] spectral lines using the
heterodyne receiver upGREAT on SOFIA. The observations were used to identify
the diffuse and dense components of the PDR traced by the [C II] and [O I]
emission, respectively. T... | http://arxiv.org/abs/2308.16872v1 |
Bayesian optimization (BO) is a popular black-box function optimization
method, which makes sequential decisions based on a Bayesian model, typically a
Gaussian process (GP), of the function. To ensure the quality of the model,
transfer learning approaches have been developed to automatically design GP
priors by learni... | http://arxiv.org/abs/2309.16597v2 |
Astrochemical modelling of the interstellar medium typically makes use of
complex computational codes with parameters whose values can be varied. It is
not always clear what the exact nature of the relationship is between these
input parameters and the output molecular abundances. In this work, a feature
importance ana... | http://arxiv.org/abs/2309.06784v1 |
In this note, we consider the Optimistic Gradient Ascent-Proximal Point
Algorithm (OGAProx) proposed by Bo{\c{t}}, Csetnek, and Sedlmayer for solving a
saddle-point problem associated with a convex-concave function constructed by a
nonsmooth coupling function and one regularizing function. We first provide a
counterexa... | http://arxiv.org/abs/2310.20146v1 |
We perform an updated analysis on a long-lived axion domain wall (DW)
network. By simulating the axion field on a 3D lattice and fitting an
analytical model for the DW evolution, we identify the leading energy loss
mechanisms of the DWs and compute the spectrum of axions emitted from the
network. The contribution from ... | http://arxiv.org/abs/2309.15920v1 |
Most existing hand gesture recognition (HGR) systems are limited to a
predefined set of gestures. However, users and developers often want to
recognize new, unseen gestures. This is challenging due to the vast diversity
of all plausible hand shapes, e.g. it is impossible for developers to include
all hand gestures in a... | http://arxiv.org/abs/2309.10858v1 |
Let $K \subset \mathbb{C}^n$ be a compact set satisfying the following
Bernstein inequality: for any $m \in \{ 1,..., n\}$ and for any $n$-variate
polynomial $P$ of degree $\mbox{deg}(P)$ we have \begin{align*}
\max_{z\in K}\left|\frac{\partial P}{\partial z_m}(z)\right| \le M\
\mbox{deg}(P) \max_{z\in K}|P(z)| \ \mb... | http://arxiv.org/abs/2306.00216v2 |
Axial algebras of Jordan type $\eta$ are a special type of commutative
non-associative algebras. They are generated by idempotents whose adjoint
operators have the minimal polynomial dividing $(x-1)x(x-\eta)$, where $\eta$
is a fixed value that is not equal to $0$ or $1$. These algebras have
restrictive multiplication ... | http://arxiv.org/abs/2309.10680v5 |
The shear measurement from DECaLS (Dark Energy Camera Legacy Survey) provides
an excellent opportunity for galaxy-galaxy lensing study with DESI (Dark Energy
Spectroscopic Instrument) galaxies, given the large ($\sim 9000$ deg$^2$) sky
overlap. We explore this potential by combining the DESI 1\% survey and DECaLS
DR8. ... | http://arxiv.org/abs/2301.13434v1 |
We consider the Newtonian 3-body problem in dimension 4, and fix a value of
the angular momentum which is compatible with this dimension. We show that the
energy function cannot tend to its infimum on an unbounded sequence of states.
Consequently the infimum of the energy is its minimum. This completes our
previous wor... | http://arxiv.org/abs/2309.14579v2 |
Detecting humans from airborne visual and thermal imagery is a fundamental
challenge for Wilderness Search-and-Rescue (WiSAR) teams, who must perform this
function accurately in the face of immense pressure. The ability to fuse these
two sensor modalities can potentially reduce the cognitive load on human
operators and... | http://arxiv.org/abs/2309.13216v1 |
Gravitational wave (GW) predictions of cosmological phase transitions are
almost invariably evaluated at either the nucleation or percolation
temperature. We investigate the effect of the transition temperature choice on
GW predictions, for phase transitions with weak, intermediate and strong
supercooling. We find that... | http://arxiv.org/abs/2309.05474v2 |
In this paper we prove Poincar\'e inequalities for the Discrete de Rham (DDR)
sequence on a general connected polyhedral domain $\Omega$ of $\mathbb{R}^3$.
We unify the ideas behind the inequalities for all three operators in the
sequence, deriving new proofs for the Poincar\'e inequalities for the gradient
and the div... | http://arxiv.org/abs/2309.15667v1 |
We consider the Adaptive Antoulas-Anderson (AAA) rational interpolation
algorithm recently developed by Trefethen and co-authors, which can be viewed
as a type of moment-matching technique for system realization and
approximation. We consider variations on this algorithm that are suitable for
model reduction of linear ... | http://arxiv.org/abs/2310.00309v1 |
Robust 6DoF pose estimation with mobile devices is the foundation for
applications in robotics, augmented reality, and digital twin localization. In
this paper, we extensively investigate the robustness of existing RGBD-based
6DoF pose estimation methods against varying levels of depth sensor noise. We
highlight that e... | http://arxiv.org/abs/2309.13570v4 |
Starting from the fully compressible fluid equations in a plane-parallel
atmosphere, we demonstrate that linear internal gravity waves are naturally
pseudo-incompressible in the limit that the wave frequency $\omega$ is much
less than that of surface gravity waves, i.e., $\omega \ll \sqrt{g k_h}$ where
$g$ is the gravi... | http://arxiv.org/abs/2309.10079v1 |
Historical emphasis on writing mastery has shifted with advances in
generative AI, especially in scientific writing. This study analysed six AI
chatbots for scholarly writing in humanities and archaeology. Using methods
that assessed factual correctness and scientific contribution, ChatGPT-4 showed
the highest quantita... | http://arxiv.org/abs/2309.08636v3 |
Consider the following Maker-Breaker game. Fix a finite subset
$S\subset\mathbb{N}$ of the naturals. The players Maker and Breaker take turns
choosing previously unclaimed natural numbers. Maker wins by eventually
building a copy $aS+b$ of $S$, where $a\in\mathbb{N}\setminus\{0\}$ and
$b\in\mathbb{Z}$. This is a genera... | http://arxiv.org/abs/2309.11367v1 |
Entities like centralized cryptocurrency exchanges fall under the business
category of virtual asset service providers (VASPs). As any other enterprise,
they can become insolvent. VASPs enable the exchange, custody, and transfer of
cryptoassets organized in wallets across distributed ledger technologies
(DLTs). Despite... | http://arxiv.org/abs/2309.16408v2 |
Reinforcement learning (RL) in recommendation systems offers the potential to
optimize recommendations for long-term user engagement. However, the
environment often involves large state and action spaces, which makes it hard
to efficiently learn and explore. In this work, we propose a sample-efficient
representation le... | http://arxiv.org/abs/2309.08622v2 |
The 1953 and 1960 Renninger negative-result thought experiments illustrate
conceptual paradoxes in the Copenhagen formulation of quantum mechanics. In the
1953 paradox we can infer the presence of a detector in one arm of a
Mach-Zehnder interferometer without any particle interacting with the detector.
In the 1960 para... | http://arxiv.org/abs/2309.04018v1 |
Biomedical literature often uses complex language and inaccessible
professional terminologies. That is why simplification plays an important role
in improving public health literacy. Applying Natural Language Processing (NLP)
models to automate such tasks allows for quick and direct accessibility for lay
readers. In th... | http://arxiv.org/abs/2309.13202v2 |
The K\"ahler-Yang-Mills equations are coupled equations for a K\"ahler metric
on a compact complex manifold and a connection on a complex vector bundle over
it. After briefly reviewing the main aspects of the geometry of the
K\"ahler-Yang-Mills equations, we consider dimensional reductions of the
equations related to v... | http://arxiv.org/abs/2309.15673v2 |
In a recent work a quantum error mitigation protocol was applied to the
expectation values obtained from circuits on the IBM Eagle quantum processor
with up $127$ - qubits with up to $60 \; - \; \mbox{CNOT}$ layers. To benchmark
the efficacy of this quantum protocol a physically motivated quantum circuit
family was con... | http://arxiv.org/abs/2306.17839v1 |
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