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We experimentally study the dynamics and strength of vortices shed from a
NACA 0012 wing undergoing sinusoidal pitching in quiescent water. We
characterize the temporal evolution of the vortex trajectory and circulation
over a range of pitching frequencies, amplitudes and pivot locations. By
employing a physics-based f... | http://arxiv.org/abs/2301.13373v2 |
Grammatical Error Detection and Correction (GEC) tools have proven useful for
native speakers and second language learners. Developing such tools requires a
large amount of parallel, annotated data, which is unavailable for most
languages. Synthetic data generation is a common practice to overcome the
scarcity of such ... | http://arxiv.org/abs/2309.11346v1 |
This manuscript presents a novel state-of-the-art cyber-physical water
testbed, namely: The AI and Cyber for Water and Agriculture testbed (ACWA).
ACWA is motivated by the need to advance water supply management using AI and
Cybersecurity experimentation. The main goal of ACWA is to address pressing
challenges in the w... | http://arxiv.org/abs/2310.17654v1 |
Paul Yiu proved that all Heron triangles are realizable on the integer
lattice. We give an analogous result for triangles with vertices on the
Eisenstein lattice. | http://arxiv.org/abs/2309.13551v1 |
Model selection aims to identify a sufficiently well performing model that is
possibly simpler than the most complex model among a pool of candidates.
However, the decision-making process itself can inadvertently introduce
non-negligible bias when the cross-validation estimates of predictive
performance are marred by e... | http://arxiv.org/abs/2309.03742v3 |
Truss structures at macro-scale are common in a number of engineering
applications and are now being increasingly used at the micro-scale to
construct metamaterials. In analyzing the properties of a given truss
structure, it is often necessary to understand how stress waves propagate
through the system and/or its dynam... | http://arxiv.org/abs/2309.02448v1 |
The number of gravitational arcs systems detected is increasing quickly and
should even increase at a faster rate in the near future. This wealth of new
gravitational arcs requires the development of a purely automated method to
reconstruct the lens and source. A general reconstruction method based on the
singular pert... | http://arxiv.org/abs/2309.15134v1 |
In this work, we study the geodesics of the space of certain geometrically
and physically motivated subspaces of the space of immersed curves endowed with
a first order Sobolev metric. This includes elastic curves and also an
extension of some results on planar concentric circles to surfaces. The work
focuses on intrin... | http://arxiv.org/abs/2309.12883v1 |
We consider the problem of embedding point cloud data sampled from an
underlying manifold with an associated flow or velocity. Such data arises in
many contexts where static snapshots of dynamic entities are measured,
including in high-throughput biology such as single-cell transcriptomics.
Existing embedding technique... | http://arxiv.org/abs/2308.00176v1 |
This paper presents a novel approach to functional principal component
analysis (FPCA) in Bayes spaces in the setting where densities are the object
of analysis, but only few individual samples from each density are observed. We
use the observed data directly to account for all sources of uncertainty,
instead of relyin... | http://arxiv.org/abs/2309.11352v1 |
We consider the refractive lensing effects of ionized cool ($T \sim
10^4\,{\rm K}$) gas cloudlets in the circumgalactic medium (CGM) of galaxies.
In particular, we discuss the combined effects of lensing from these cloudlets
and scintillation from plasma screens in the Milky Way interstellar medium
(ISM). We show that,... | http://arxiv.org/abs/2309.07256v2 |
Due to the imbalanced nature of networked observational data, the causal
effect predictions for some individuals can severely violate the
positivity/overlap assumption, rendering unreliable estimations. Nevertheless,
this potential risk of individual-level treatment effect estimation on
networked data has been largely ... | http://arxiv.org/abs/2309.08165v1 |
Despite the basic premise that next-generation wireless networks (e.g., 6G)
will be artificial intelligence (AI)-native, to date, most existing efforts
remain either qualitative or incremental extensions to existing "AI for
wireless" paradigms. Indeed, creating AI-native wireless networks faces
significant technical ch... | http://arxiv.org/abs/2309.13223v3 |
The large population of wireless users is a key driver of data-crowdsourced
Machine Learning (ML). However, data privacy remains a significant concern.
Federated Learning (FL) encourages data sharing in ML without requiring data to
leave users' devices but imposes heavy computation and communications overheads
on mobil... | http://arxiv.org/abs/2309.09253v1 |
Understanding the different ways in which different science mapping
approaches capture the structure of scientific fields is critical. This paper
presents a comparative analysis of two commonly used approaches, topic modeling
(TM) and citation-based clustering (CC), to assess their respective strengths,
weaknesses, and... | http://arxiv.org/abs/2309.06160v2 |
Verifying the performance of safety-critical, stochastic systems with complex
noise distributions is difficult. We introduce a general procedure for the
finite abstraction of nonlinear stochastic systems with non-standard (e.g.,
non-affine, non-symmetric, non-unimodal) noise distributions for verification
purposes. The... | http://arxiv.org/abs/2309.10702v1 |
Quantum many-body systems are emerging as key elements in the quest for
quantum-based technologies and in the study of fundamental physics. In this
study, we address the challenge of achieving fast and high-fidelity evolutions
across quantum phase transitions, a crucial requirement for practical
applications. We introd... | http://arxiv.org/abs/2309.05469v2 |
The main objective of this article is to establish the $p$-adic Artin
formalism for the algebraic $p$-adic $L$-functions attached to the adjoint
representations of Coleman families of modular forms. In particular, we prove a
factorization formula involving the determinants of appropriate Selmer
complexes, using tools f... | http://arxiv.org/abs/2310.00472v2 |
In this work, we aim to confirm the impact of the Fourier series on the
quantum machine learning model. We will propose models, tests, and
demonstrations to achieve this objective. We designed a quantum machine
learning leveraged on the Hamiltonian encoding. With a subtle change, we
performed the trigonometric interpol... | http://arxiv.org/abs/2302.00105v2 |
We construct bootstrap confidence intervals for a monotone regression
function. It has been shown that the ordinary nonparametric bootstrap, based on
the nonparametric least squares estimator (LSE) $\hat f_n$ is inconsistent in
this situation. We show, however, that a consistent bootstrap can be based on
the smoothed $... | http://arxiv.org/abs/2303.17988v5 |
Xenon scintillation has been widely used in rare event detection experiments
such as neutrinoless double beta decay, double electron captures and dark
matter searches. Nonetheless, experimental values for primary scintillation
yield in gaseous xenon (GXe) remain scarce and dispersed. The mean energy
required to produce... | http://arxiv.org/abs/2309.14202v2 |
Unit testing is critical to the software development process, ensuring the
correctness of basic programming units in a program (e.g., a method).
Search-based software testing (SBST) is an automated approach to generating
test cases. SBST generates test cases with genetic algorithms by specifying the
coverage criterion ... | http://arxiv.org/abs/2309.07518v2 |
I define the lattice propagator on a very general collection of graphs,
namely graphs locally isomorphic to $\mathbb{Z}^{d}\times \mathbb{Z}$. I then
define polygonal approximations to the minkowski metric and define a
corresponding lattice propagator for these. I show in $d=1$, as suggested by
the metric approximation... | http://arxiv.org/abs/2309.09535v1 |
Ubiquitous robot control and human-robot collaboration using smart devices
poses a challenging problem primarily due to strict accuracy requirements and
sparse information. This paper presents a novel approach that incorporates a
probabilistic differentiable filter, specifically the Differentiable Ensemble
Kalman Filte... | http://arxiv.org/abs/2309.06606v2 |
The magnetic dilution of Vanadyl phthalocyanine (VOPc) within the
isostructural diamagnetic Titanyl phthalocyanine (TiOPc) affords promising
molecular spin qubit platforms for solid-state quantum computing. The
development of quantitative methods for determining how the interactions with a
supporting substrate impact t... | http://arxiv.org/abs/2309.16415v5 |
A goal of artificial intelligence is to construct an agent that can solve a
wide variety of tasks. Recent progress in text-guided image synthesis has
yielded models with an impressive ability to generate complex novel images,
exhibiting combinatorial generalization across domains. Motivated by this
success, we investig... | http://arxiv.org/abs/2302.00111v3 |
We present results from a preregistered and crowdsourced user study where we
asked members of the general population to determine whether two samples
represented using different forms of data visualizations are drawn from the
same or different populations. Such a task reduces to assessing whether the
overlap between th... | http://arxiv.org/abs/2309.12667v1 |
Urban time series data forecasting featuring significant contributions to
sustainable development is widely studied as an essential task of the smart
city. However, with the dramatic and rapid changes in the world environment,
the assumption that data obey Independent Identically Distribution is
undermined by the subse... | http://arxiv.org/abs/2309.14216v1 |
We discuss here how, when higher-order effects in the parameter
$\frac{\ell}{\hbar} |\vec{p}|$, related to the lattice spacing $\ell$, are
considered, pristine graphene, and other Dirac materials, can be used as
tabletop systems where generalized commutation relations are naturally
realized. Such generalized algebras o... | http://arxiv.org/abs/2302.00677v1 |
Recent research has examined the possibility of using robots to guide
evacuees to safe exits during emergencies. Yet, there are many factors that can
impact a person's decision to follow a robot. Being able to model how an
evacuee follows an emergency robot guide could be crucial for designing robots
that effectively g... | http://arxiv.org/abs/2306.17824v1 |
Due to the ongoing electrification of transport in combination with limited
power grid capacities, efficient ways to schedule the charging of electric
vehicles (EVs) are needed for the operation of, for example, large parking
lots. Common approaches such as model predictive control repeatedly solve a
corresponding offl... | http://arxiv.org/abs/2309.06174v3 |
This work presents a novel Learning Model Predictive Control (LMPC) strategy
for autonomous racing at the handling limit that can iteratively explore and
learn unknown dynamics in high-speed operational domains. We start from
existing LMPC formulations and modify the system dynamics learning method. In
particular, our ... | http://arxiv.org/abs/2309.10716v2 |
Utilizing realistic simulations of high-harmonic generation (HHG) in several
materials, we study how different regions of the Brillouin zone contribute to
the nonlinear response. It is often assumed that only the vicinity of the Gamma
point is predominantly responsible for the HHG spectrum, but it is shown here
that su... | http://arxiv.org/abs/2309.07281v1 |
The audio-visual segmentation (AVS) task aims to segment sounding objects
from a given video. Existing works mainly focus on fusing audio and visual
features of a given video to achieve sounding object masks. However, we
observed that prior arts are prone to segment a certain salient object in a
video regardless of the... | http://arxiv.org/abs/2307.16620v2 |
This work studies the signal-to-interference-plus-noise-ratio (SINR) meta
distribution for the uplink transmission of a Poisson network with Rayleigh
fading by using the dominant interferer-based approximation. The proposed
approach relies on computing the mix of exact and mean-field analysis of
interference. In partic... | http://arxiv.org/abs/2309.04950v1 |
Pruning is a compression method which aims to improve the efficiency of
neural networks by reducing their number of parameters while maintaining a good
performance, thus enhancing the performance-to-cost ratio in nontrivial ways.
Of particular interest are structured pruning techniques, in which whole
portions of param... | http://arxiv.org/abs/2309.12854v1 |
This paper presents Safurai-001, a new Large Language Model (LLM) with
significant potential in the domain of coding assistance. Driven by recent
advancements in coding LLMs, Safurai-001 competes in performance with the
latest models like WizardCoder [Xu et al., 2023], PanguCoder [Shen et al.,
2023] and Phi-1 [Gunaseka... | http://arxiv.org/abs/2309.11385v1 |
The first named author introduced the notion of upper stability for metric
spaces as a relaxation of stability. The motivation was a search for a new
invariant to distinguish the class of reflexive Banach spaces from stable
metric spaces in the coarse and uniform category. In this paper we show that
property $Q$ does i... | http://arxiv.org/abs/2309.11391v1 |
Reinforcement learning (RL) agents are vulnerable to adversarial
disturbances, which can deteriorate task performance or compromise safety
specifications. Existing methods either address safety requirements under the
assumption of no adversary (e.g., safe RL) or only focus on robustness against
performance adversaries ... | http://arxiv.org/abs/2309.06835v1 |
This work tackles the problem of task-oriented dexterous hand pose synthesis,
which involves generating a static hand pose capable of applying a
task-specific set of wrenches to manipulate objects. Unlike previous approaches
that focus solely on force-closure grasps, which are unsuitable for
non-prehensile manipulation... | http://arxiv.org/abs/2309.13586v3 |
We propose a comprehensive theoretical formulation of magnetic penetration
depth, $\lambda(T)$, based on the microscopic calculations for a general
superconducting gap symmetry. Our findings admit the significant role of band
structure and Fermi surface topology together with the symmetry of
superconducting order param... | http://arxiv.org/abs/2310.00499v1 |
Wide-field survery have recently detected recurring optical and X-ray sources
near galactic nuclei, with period spanning hours to years. These phenomena
could result from repeated partial tidal disruptions of stars by supermassive
black holes (SMBHs) or by interaction between star and SMBH-accretion discs. We
study the... | http://arxiv.org/abs/2309.15849v2 |
We study the computational expressivity of proof systems with fixed point
operators, within the `proofs-as-programs' paradigm. We start with a calculus
$\mu\mathsf{LJ}$ (due to Clairambault) that extends intuitionistic logic by
least and greatest positive fixed points. Based in the sequent calculus,
$\mu\mathsf{LJ}$ ad... | http://arxiv.org/abs/2302.14825v2 |
Proximal nested sampling was introduced recently to open up Bayesian model
selection for high-dimensional problems such as computational imaging. The
framework is suitable for models with a log-convex likelihood, which are
ubiquitous in the imaging sciences. The purpose of this article is two-fold.
First, we review pro... | http://arxiv.org/abs/2307.00056v2 |
Transformer language models (LMs) are fundamental to NLP research
methodologies and applications in various languages. However, developing such
models specifically for the Russian language has received little attention.
This paper introduces a collection of 13 Russian Transformer LMs, which spans
encoder (ruBERT, ruRoB... | http://arxiv.org/abs/2309.10931v4 |
AI accelerators have proliferated in data centers in recent years and are now
almost ubiquitous. In addition, their computational power and, most
importantly, their energy efficiency are up to orders of magnitude higher than
that of traditional computing. Over the last years, various methods and
optimizations have been... | http://arxiv.org/abs/2309.15861v1 |
We derive an asymptotic expansion for the critical percolation density of the
random connection model as the dimension of the encapsulating space tends to
infinity. We calculate rigorously the first expansion terms for the Gilbert
disk model, the hyper-cubic model, the Gaussian connection kernel, and a
coordinate-wise ... | http://arxiv.org/abs/2309.08830v1 |
Monte Carlo simulation of solitonic phonon propagation on a 2D plane in Weyl
fermion-sea is analyzed. We assume materials are filled with Weyl spinors
located on $256\times 256$ 2D lattice points, which are expressed by
quaternions ${\bf H}$. The topology of solitonic phonon propagation is defined
by modifying fixed po... | http://arxiv.org/abs/2302.07871v1 |
This paper addresses the challenge of generating optimal vehicle flow at the
macroscopic level. Although several studies have focused on optimizing vehicle
flow, little attention has been given to ensuring it can be practically
achieved. To overcome this issue, we propose a route-recovery and eco-driving
strategy for c... | http://arxiv.org/abs/2303.17787v2 |
Vision and Language Models (VLMs), such as CLIP, have enabled visual
recognition of a potentially unlimited set of categories described by text
prompts. However, for the best visual recognition performance, these models
still require tuning to better fit the data distributions of the downstream
tasks, in order to overc... | http://arxiv.org/abs/2309.06809v1 |
Coaxing out desired behavior from pretrained models, while avoiding
undesirable ones, has redefined NLP and is reshaping how we interact with
computers. What was once a scientific engineering discipline-in which building
blocks are stacked one on top of the other-is arguably already a complex
systems science, in which ... | http://arxiv.org/abs/2308.00189v1 |
We develop a denotational semantics for general reference types in an
impredicative version of guarded homotopy type theory, an adaptation of
synthetic guarded domain theory to Voevodsky's univalent foundations. We
observe for the first time the profound impact of univalence on the
denotational semantics of mutable sta... | http://arxiv.org/abs/2307.16608v2 |
Electrons in two-dimensional (2D) Dirac materials carry local band geometric
quantities, such as the Berry curvature and orbital magnetic moments, which,
combined with electron-phonon coupling, may affect the phonon dynamics in an
unusual way. Here, we propose intrinsic nonreciprocal linear and circular
phonon dichrois... | http://arxiv.org/abs/2309.03540v1 |
Planetary population synthesis is a tool to understand the physics of
planetary system formation. It builds on a model that includes a multitude of
physical processes. The outcome can be statistically compared with exoplanet
observations. Here, we review the population synthesis method and then use one
population to ex... | http://arxiv.org/abs/2303.00012v1 |
A popular heuristic method for improving clustering results is to apply
dimensionality reduction before running clustering algorithms. It has been
observed that spectral-based dimensionality reduction tools, such as PCA or
SVD, improve the performance of clustering algorithms in many applications.
This phenomenon indic... | http://arxiv.org/abs/2309.15322v1 |
The principle of least action is arguably the most fundamental principle in
physics as it can be used to derive the equations of motion in various branches
of physics. However, this principle has not been experimentally demonstrated at
the quantum level because the propagators for Feymann's path integrals have
never be... | http://arxiv.org/abs/2305.19815v1 |
The traditional i.i.d.-based learning paradigm faces inherent challenges in
addressing causal relationships, which has become increasingly evident with the
rise of applications in causal representation learning.
Our understanding of causality naturally requires a perspective as the
creator rather than observer, as th... | http://arxiv.org/abs/2307.16387v16 |
Aims. The purpose of this study is to create a multi-stage machine learning
model to predict cardiac resynchronization therapy (CRT) response for heart
failure (HF) patients. This model exploits uncertainty quantification to
recommend additional collection of single-photon emission computed tomography
myocardial perfus... | http://arxiv.org/abs/2309.08415v4 |
We prove that the scaled maximum steady-state waiting time and the scaled
maximum steady-state queue length among $N$ $GI/GI/1$-queues in the $N$-server
fork-join queue, converge to a normally distributed random variable as
$N\to\infty$. The maximum steady-state waiting time in this queueing system
scales around $\frac... | http://arxiv.org/abs/2309.08373v1 |
We study a variation of vanilla stochastic gradient descent where the
optimizer only has access to a Markovian sampling scheme. These schemes
encompass applications that range from decentralized optimization with a random
walker (token algorithms), to RL and online system identification problems. We
focus on obtaining ... | http://arxiv.org/abs/2302.14428v3 |
Periodic driving has emerged as a powerful tool to control, engineer, and
characterize many-body quantum systems. However, the required pulse sequences
are often complex, long, or require the ability to control the individual
degrees of freedom. In this work, we study how a simple Carr-Purcell
Meiboom-Gill (CPMG)-like ... | http://arxiv.org/abs/2309.15444v1 |
PyPose is an open-source library for robot learning. It combines a
learning-based approach with physics-based optimization, which enables seamless
end-to-end robot learning. It has been used in many tasks due to its
meticulously designed application programming interface (API) and efficient
implementation. From its ini... | http://arxiv.org/abs/2309.13035v1 |
In the era of the Internet of Things (IoT), the retrieval of relevant medical
information has become essential for efficient clinical decision-making. This
paper introduces MedFusionRank, a novel approach to zero-shot medical
information retrieval (MIR) that combines the strengths of pre-trained language
models and sta... | http://arxiv.org/abs/2310.20588v1 |
This work presents experience with traditional use cases of checkpointing on
a novel platform. A single codebase (MANA) transparently checkpoints production
workloads for major available MPI implementations: "develop once, run
everywhere". The new platform enables application developers to compile their
application aga... | http://arxiv.org/abs/2309.14996v1 |
Precise crop yield prediction is essential for improving agricultural
practices and ensuring crop resilience in varying climates. Integrating weather
data across the growing season, especially for different crop varieties, is
crucial for understanding their adaptability in the face of climate change. In
the MLCAS2021 C... | http://arxiv.org/abs/2309.13021v1 |
When he first introduced the notion of a conformal boundary into the study of
asymptotically empty space-times, Penrose noted that that the boundary would be
null, space-like or time-like according as the cosmological constant $\Lambda$
was zero, positive or negative. While most applications of the idea of a
conformal ... | http://arxiv.org/abs/2309.08367v1 |
For an infinite class of finite graphs of unbounded size, we define a limit
object, to be called wide limit, relative to some computationally restricted
class of functions. The properties of the wide limit then reflect how a
computationally restricted viewer "sees" a generic instance from the class. The
construction us... | http://arxiv.org/abs/2301.13603v2 |
Computer aided detection and diagnosis systems based on deep learning have
shown promising performance in breast cancer detection. However, there are
cases where the obtained results lack justification. In this study, our
objective is to highlight the regions of interest used by a convolutional
neural network (CNN) for... | http://arxiv.org/abs/2305.20058v1 |
Traditional, numerical discretization-based solvers of partial differential
equations (PDEs) are fundamentally agnostic to domains, boundary conditions and
coefficients. In contrast, machine learnt solvers have a limited
generalizability across these elements of boundary value problems. This is
strongly true in the cas... | http://arxiv.org/abs/2301.13165v2 |
High-resolution, millimeter observations of disks at the protoplanetary stage
reveal substructures such as gaps, rings, arcs, spirals, and cavities. While
many protoplanetary disks host such substructures, only a few at the younger
protostellar stage have shown similar features. We present a detailed search
for early d... | http://arxiv.org/abs/2309.07732v1 |
Software Testing is a well-established area in software engineering,
encompassing various techniques and methodologies to ensure the quality and
reliability of software systems. However, with the advent of generative
artificial intelligence (GenAI) systems, new challenges arise in the testing
domain. These systems, cap... | http://arxiv.org/abs/2309.03554v3 |
We participate in the AutoPET II challenge by modifying nnU-Net only through
its easy to understand and modify 'nnUNetPlans.json' file. By switching to a
UNet with residual encoder, increasing the batch size and increasing the patch
size we obtain a configuration that substantially outperforms the automatically
configu... | http://arxiv.org/abs/2309.13747v2 |
In this paper, we prove a Logarithmic Conjugation Theorem on
finitely-connected tori. The theorem states that a harmonic function can be
written as the real part of a function whose derivative is analytic and a
finite sum of terms involving the logarithm of the modulus of a modified
Weierstrass sigma function. We imple... | http://arxiv.org/abs/2309.12459v1 |
We have introduced self-consistent spin, tidal and dynamical equations of
motion into REBOUNDx, a library of additional effects for the popular N-body
integrator REBOUND. The equations of motion used are derived from the constant
time lag approximation to the equilibrium tide model of tidal friction. These
effects will... | http://arxiv.org/abs/2303.00006v1 |
Reinforcement learning (RL) agents can leverage batches of previously
collected data to extract a reasonable control policy. An emerging issue in
this offline RL setting, however, is that the bootstrapping update underlying
many of our methods suffers from insufficient action-coverage: standard max
operator may select ... | http://arxiv.org/abs/2302.14372v2 |
Interfaces of light and matter serve as a platform for exciting many-body
physics and photonic quantum technologies. Due to the recent experimental
realization of atomic arrays at sub-wavelength spacings, collective interaction
effects such as superradiance have regained substantial interest. Their
analytical and numer... | http://arxiv.org/abs/2305.19829v3 |
We analyze two recently-introduced flow measured that are based on a single
trajectory only: trajectory stretching exponent (TSE) to detect hyperbolic
(stretching) behavior, and trajectory angular velocity (TRA) to detect elliptic
(rotation) behavior. Haller et al. [2021] and Haller et al. [2022] introduced
TSE, TRA as... | http://arxiv.org/abs/2304.00089v2 |
Text-to-Speech (TTS) synthesis for low-resource languages is an attractive
research issue in academia and industry nowadays. Mongolian is the official
language of the Inner Mongolia Autonomous Region and a representative
low-resource language spoken by over 10 million people worldwide. However,
there is a relative lack... | http://arxiv.org/abs/2301.00657v1 |
In the present work, the results obtained in [1] about the revivals of a
relativistic fermion wave function on a torus are considerably enlarged. In
fact, all the possible quantum states exhibiting revivals are fully
characterized. The revivals are exact, that is, are true revivals without
taking any particular limit s... | http://arxiv.org/abs/2309.12471v2 |
We consider a quintic Hartree equation for a random field, which describes
the temporal evolution of a infinitely many fermions, considering a three body
interaction. We show a scattering result around a non-localised equilibria of
the equation, for high dimensions $d\geq 4$. The Hartree equation for random
variables w... | http://arxiv.org/abs/2309.10500v1 |
We study the infinite-horizon restless bandit problem with the average reward
criterion, in both discrete-time and continuous-time settings. A fundamental
goal is to efficiently compute policies that achieve a diminishing optimality
gap as the number of arms, $N$, grows large. Existing results on asymptotic
optimality ... | http://arxiv.org/abs/2306.00196v3 |
We study transfinite analogues of the symmetric strong diameter two property.
We investigate the stability of these properties under $c_0$, $\ell_\infty$
sums and under projective tensor products. Moreover, we characterize Banach
spaces of the form $C_0(X)$, where $X$ is a T$_4$ locally compact space, which
posses thes... | http://arxiv.org/abs/2302.14414v1 |
Simulation studies play a key role in the validation of causal inference
methods. The simulation results are reliable only if the study is designed
according to the promised operational conditions of the method-in-test. Still,
many causal inference literature tend to design over-restricted or misspecified
studies. In t... | http://arxiv.org/abs/2309.10514v2 |
Most algorithms for representation learning and link prediction on relational
data are designed for static data. However, the data to which they are applied
typically evolves over time, including online social networks or interactions
between users and items in recommender systems. This is also the case for
graph-struc... | http://arxiv.org/abs/2309.09045v1 |
Given a uniform random permutation $\pi \in S_n$, let $Z_{n,k}$ be equal to
the number of increasing subsequences of length $k$: so
$Z_{n,k}=|\{(i_1,\dots,i_k) \in \mathbb{Z}^k\, :\, 1\leq i_1<\dots<i_k\leq n\,
,\ \pi_{i_1}<\dots<\pi_{i_k}\}|$. In an important paper, Ross Pinsky proved
$\mathbf{E}\big[Z_{n,k}^2\big]$ i... | http://arxiv.org/abs/2301.00125v3 |
A short review will be made of elliptic integrals, widely applied in GPS
(Global Positioning System) communications (accounting for General Relativity
Theory-effects), cosmology, Black hole physics and celestial mechanics. Then a
novel analytical method for calculation of zero-order elliptic integrals in the
Legendre f... | http://arxiv.org/abs/2301.00643v1 |
The high temperature limit of interacting spins is usually not associated
with ordering or critical phenomena. Nevertheless, spontaneous fluctuations of
a local spin polarization at equilibrium have nontrivial dynamics even in this
limit. Here, we demonstrate that the spin noise power spectrum of these
fluctuations can... | http://arxiv.org/abs/2306.17398v1 |
Summary: GeneFEAST, implemented in Python, is a gene-centric functional
enrichment analysis summarisation and visualisation tool that can be applied to
large functional enrichment analysis (FEA) results arising from upstream FEA
pipelines. It produces a systematic, navigable HTML report, making it easy to
identify sets... | http://arxiv.org/abs/2309.00061v1 |
The performance of Whisper in low-resource languages is still far from
perfect. In addition to a lack of training data on low-resource languages, we
identify some limitations in the beam search algorithm used in Whisper. To
address these issues, we fine-tune Whisper on additional data and propose an
improved decoding a... | http://arxiv.org/abs/2309.10299v1 |
Safety in dynamic systems with prevalent uncertainties is crucial. Current
robust safe controllers, designed primarily for uni-modal uncertainties, may be
either overly conservative or unsafe when handling multi-modal uncertainties.
To address the problem, we introduce a novel framework for robust safe control,
tailore... | http://arxiv.org/abs/2309.16830v1 |
Hard X-/soft Gamma-ray astronomy (> 100 keV) is a crucial field for the study
of important astrophysical phenomena such as the 511 keV positron annihilation
line in the Galactic center region and its origin, gamma-ray bursts, soft
gamma-ray repeaters, nuclear lines from SN explosions and more. However,
several key ques... | http://arxiv.org/abs/2309.11187v1 |
Large language models (LLMs) have achieved state-of-the-art results in many
natural language processing tasks. They have also demonstrated ability to adapt
well to different tasks through zero-shot or few-shot settings. With the
capability of these LLMs, researchers have looked into how to adopt them for
use with Visua... | http://arxiv.org/abs/2309.15487v1 |
Accurate trajectory prediction (TP) for climbing aircraft is hampered by the
presence of epistemic uncertainties concerning aircraft operation, which can
lead to significant misspecification between predicted and observed
trajectories. This paper proposes a generative model for climbing aircraft in
which the standard B... | http://arxiv.org/abs/2309.14941v1 |
Dark matter as scalar particles consisting of multiple species is well
motivated in string theory where axion fields are ubiquitous. A two-field fuzzy
dark matter (FDM) model features two species of ultralight axion particles with
different masses, $m_1 \neq m_2$, which is extended from the standard one-field
model wit... | http://arxiv.org/abs/2309.05694v2 |
A one-dimensional Bose Hubbard model with unidirectional hopping is shown to
be exactly solvable. Applying the algebraic Bethe ansatz method, we prove the
integrability of the model and derive the Bethe ansatz equations. The exact
eigenvalue spectrum can be obtained by solving these equations. The
distribution of Bethe... | http://arxiv.org/abs/2305.00439v2 |
Multi-modal unsupervised domain adaptation (MM-UDA) for 3D semantic
segmentation is a practical solution to embed semantic understanding in
autonomous systems without expensive point-wise annotations. While previous
MM-UDA methods can achieve overall improvement, they suffer from significant
class-imbalanced performanc... | http://arxiv.org/abs/2309.11839v1 |
After three decades of computational multibody system (MBS) dynamics, current
research is centered at the development of compact and user friendly yet
computationally efficient formulations for the analysis of complex MBS. The key
to this is a holistic geometric approach to the kinematics modeling observing
that the ge... | http://arxiv.org/abs/2306.17415v1 |
A mere amount of 2.2 grams (780 TBq) of tritium, diluted in $1.25 \cdot 10^6$
m$^3$ water, contained in 1047 tanks at the Fukushima Daiichi nuclear power
plant are being released to the Pacific Ocean. The operation is scheduled to
last over 30 years, with not more than releasing 62 mg (22 TBq) of tritium
annually. The ... | http://arxiv.org/abs/2309.07083v3 |
We study self-regulating processes modeling biological transportation
networks as presented in \cite{portaro2023}. In particular, we focus on the 1D
setting for Dirichlet and Neumann boundary conditions. We prove an existence
and uniqueness result under the assumption of positivity of the diffusivity
$D$. We explore sy... | http://arxiv.org/abs/2307.16436v4 |
Numerical simulations of neutron star mergers represent an essential step
toward interpreting the full complexity of multimessenger observations and
constraining the properties of supranuclear matter. Currently, simulations are
limited by an array of factors, including computational performance and input
physics uncert... | http://arxiv.org/abs/2301.13818v2 |
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