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We analyze VeLO (versatile learned optimizer), the largest scale attempt to
train a general purpose "foundational" optimizer to date. VeLO was trained on
thousands of machine learning tasks using over 4000 TPU months with the goal of
producing an optimizer capable of generalizing to new problems while being
hyperparame... | http://arxiv.org/abs/2310.18191v2 |
The advancement in satellite networks (SatNets) offers vast opportunities for
large-scale connectivity and flexibility. The intersection of inter-satellite
communication (ISC) and the developments in rate-hungry enhanced mobile
broadband (eMBB) services have resulted in potential ultra-dense deployments
such as mega-co... | http://arxiv.org/abs/2305.07207v1 |
Lattice polyhedra $Q_1$ and $Q_2$ with the same tail cone are said to be
normally located if every lattice point in the Minkowski sum $Q_1+Q_2$ is the
sum of lattice points from $Q_1$ and $Q_2$, respectively. We prove that if the
normal fan of $Q_1$ refines the normal fan of $Q_2$, then there is a positive
integer $k$ ... | http://arxiv.org/abs/2301.02688v1 |
We initiate an empirical investigation into differentially private graph
neural networks on population graphs from the medical domain by examining
privacy-utility trade-offs at different privacy levels on both real-world and
synthetic datasets and performing auditing through membership inference
attacks. Our findings h... | http://arxiv.org/abs/2307.06760v1 |
Intelligent manufacturing is becoming increasingly important due to the
growing demand for maximizing productivity and flexibility while minimizing
waste and lead times. This work investigates automated secondary robotic food
packaging solutions that transfer food products from the conveyor belt into
containers. A majo... | http://arxiv.org/abs/2303.14693v2 |
The design of cable-stayed bridges requires the determination of several
design variables' values. Civil engineers usually perform this task by hand as
an iteration of steps that stops when the engineer is happy with both the cost
and maintaining the structural constraints of the solution. The problem's
difficulty aris... | http://arxiv.org/abs/2304.00641v1 |
The star formation histories (SFHs) of galactic stellar haloes offer crucial
insights into the merger history of the galaxy and the effects of those mergers
on their hosts. Such measurements have revealed that while the Milky Way's most
important merger was 8-10 Gyr ago, M31's largest merger was more recent, within
the... | http://arxiv.org/abs/2308.11499v1 |
The exploration of the latent space in StyleGANs and GAN inversion exemplify
impressive real-world image editing, yet the trade-off between reconstruction
quality and editing quality remains an open problem. In this study, we revisit
StyleGANs' hyperspherical prior $\mathcal{Z}$ and combine it with highly
capable laten... | http://arxiv.org/abs/2307.08995v1 |
The temperature-dependent composition and phase formation during physical
vapor deposition (PVD) of Mg-Ca thin films is modelled using a CALPHAD-based
approach. Considering the Mg and Ca sublimation fluxes calculated based on the
vapor pressure obtained by employing equilibrium thermochemical calculations,
experimental... | http://arxiv.org/abs/2303.04480v1 |
We extend to three dimensions the proposal of a completely relativistic
positioning system (rPS). The system does not rely on approximations, in fact,
it works at a few Schwarzschild radii from a black hole, and it does not rely
on Newtonian physics or special relativity. Since general relativity (GR)
claims to be our ... | http://arxiv.org/abs/2309.00865v1 |
We revise the rates of reactions CH + S -> CS + H and C_2 + S -> CS + C,
important CS formation routes in dark and diffuse warm gas. We performed ab
initio calculations to characterize the main features of all the electronic
states correlating to the open shell reactants. For CH+S we have calculated the
full potential ... | http://arxiv.org/abs/2307.00311v1 |
In the early 20th century, Laurent Schwartz observed that we can identify
functions that extend smoothly to the point at infinity of one-point
compactifications of Euclidean spaces. We show a similar result for a different
compactification of Euclidean spaces, namely, the real projective spaces. | http://arxiv.org/abs/2308.01852v1 |
A large class of problems in the current era of quantum devices involve
interfacing between the quantum and classical system. These include calibration
procedures, characterization routines, and variational algorithms. The control
in these routines iteratively switches between the classical and the quantum
computer. Th... | http://arxiv.org/abs/2308.10787v2 |
Perpetual swaps are derivative contracts that allow traders to speculate on,
or hedge, the price movements of cryptocurrencies. Unlike futures contracts,
perpetual swaps have no settlement or expiration in the traditional sense. The
funding rate acts as the mechanism that tethers the perpetual swap to its
underlying wi... | http://arxiv.org/abs/2310.14973v2 |
Following Parisi \& Wu's paradigm of stochastic quantization, we constructed
in \cite{BDFT} a $\Phi^4$ measure on an arbitrary closed, compact Riemannian
manifold of dimension $3$ as an invariant measure of a singular stochastic
partial differential equation. This solves a longstanding open problem in
quantum fields on... | http://arxiv.org/abs/2306.07757v3 |
In the context of decision making under explorable uncertainty, scheduling
with testing is a powerful technique used in the management of computer systems
to improve performance via better job-dispatching decisions. Upon job arrival,
a scheduler may run some \emph{testing algorithm} against the job to extract
some info... | http://arxiv.org/abs/2304.00899v2 |
In this note, we show that the classical Wallach manifold
$\mathrm{SU}(3)/\mathrm{T}^2$-admits metrics of positive intermediate Ricci
curvature $(\mathrm{Ric}_d >0)$ for $d = 1, 2, 3, 4, 5$ that lose these
properties under the homogeneous Ricci flow for $d=1, 2, 3, 5$. We make the
same analyses to the family of Riemann... | http://arxiv.org/abs/2305.06119v3 |
In this paper, we present two non-perturbative string cosmological solutions
without curvature singularities for the bosonic gravi-dilaton system. These
solutions are general in the sense that they can straightforwardly match the
perturbative solution to arbitrarily high orders in the perturbative region.
The first sol... | http://arxiv.org/abs/2306.07031v1 |
Neural Radiance Field (NeRF) is a promising approach for synthesizing novel
views, given a set of images and the corresponding camera poses of a scene.
However, images photographed from a low-light scene can hardly be used to train
a NeRF model to produce high-quality results, due to their low pixel
intensities, heavy ... | http://arxiv.org/abs/2307.10664v1 |
A spherical robot has many practical advantages as the entire electronics are
protected within a hull and can be carried easily by any Unmanned Aerial
Vehicle (UAV). However, its use is limited due to finding mounts for sensors.
Pendulum actuated spherical robot provides space for mounting sensors at the
yoke. We study... | http://arxiv.org/abs/2301.05859v1 |
This paper develops a unified distributed method for solving two classes of
constrained networked optimization problems, i.e., optimal consensus problem
and resource allocation problem with non-identical set constraints. We first
transform these two constrained networked optimization problems into a unified
saddle-poin... | http://arxiv.org/abs/2307.07318v1 |
This note unifies, in the framework of categories, the constructions named
localizations of categories and algebraic dilatations of rings. | http://arxiv.org/abs/2305.11303v1 |
The steady response of the stratosphere to a sea surface temperature (SST)
forcing is considered in two separate theoretical models. It is first shown
that anomalies in SST impose a geopotential anomaly at the tropopause.
Solutions to the linearized quasi-geostrophic potential vorticity equations are
then used to show ... | http://arxiv.org/abs/2305.01110v2 |
Many sectors nowadays require accurate and coherent predictions across their
organization to effectively operate. Otherwise, decision-makers would be
planning using disparate views of the future, resulting in inconsistent
decisions across their sectors. To secure coherency across hierarchies, recent
research has put fo... | http://arxiv.org/abs/2302.03978v1 |
Lifelong audio feature extraction involves learning new sound classes
incrementally, which is essential for adapting to new data distributions over
time. However, optimizing the model only on new data can lead to catastrophic
forgetting of previously learned tasks, which undermines the model's ability to
perform well o... | http://arxiv.org/abs/2305.18441v1 |
We present quantitative logics with two-step semantics based on the framework
of quantitative logics introduced by Arenas et al. (2020) and the two-step
semantics defined in the context of weighted logics by Gastin & Monmege (2018).
We show that some of the fragments of our logics augmented with a least fixed
point ope... | http://arxiv.org/abs/2304.10334v4 |
The local magnetic properties of Yb$^{3+}$ in the layered honeycomb material
YbCl$_{3}$ were investigated by electron spin resonance on single crystals. For
in-plane and out-of-plane field orientations the $g$-factor shows a clear
anisotropy ($g_\|=2.97(8)$ and $g_\bot =1.53(4)$), whereas the low temperature
exchange c... | http://arxiv.org/abs/2307.09335v1 |
Large-scale generative models are capable of producing high-quality images
from detailed text descriptions. However, many aspects of an image are
difficult or impossible to convey through text. We introduce self-guidance, a
method that provides greater control over generated images by guiding the
internal representatio... | http://arxiv.org/abs/2306.00986v3 |
In this paper, we study quantum gravity effect on the symmergent black hole
which is derived from quadratic-curvature gravity. To do so, we use the
Klein-Gordon equation which is modified by generalized uncertainty principle
(GUP). After solving the field equations, we examine the symmergent black
hole's tunneling and ... | http://arxiv.org/abs/2302.12875v1 |
Despite the impressive performance of large language models (LLMs), they
often lag behind specialized models in various tasks. LLMs only use a fraction
of the existing training data for in-context learning, while task-specific
models harness the full dataset for fine-tuning. In this work, we tackle the
problem of lever... | http://arxiv.org/abs/2305.13514v2 |
Our study focuses on the $\Lambda$-type P-wave bottom baryon states with the
spin-parity $J^P=\frac{1}{2}^-$, $\frac{3}{2}^-$. We introduce an explicit
P-wave between the two light quarks in the interpolating currents (and the two
light quarks are antisymmetric in flavor space, therefore leads to the name
$\Lambda$-typ... | http://arxiv.org/abs/2306.05626v2 |
We construct unique martingale solutions to the damped stochastic wave
equation $$ \mu \frac{\partial^2u}{\partial t^2}(t,x)=\Delta
u(t,x)-\frac{\partial u}{\partial
t}(t,x)+b(t,x,u(t,x))+\sigma(t,x,u(t,x))\frac{dW_t}{dt},$$
where $\Delta$ is the Laplacian on $[0,1]$ with Dirichlet boundary condition,
$W$ is space-ti... | http://arxiv.org/abs/2305.04068v2 |
Univariate regression models have rich literature for counting data. However,
this is not the case for multivariate count data. Therefore, we present the
Multivariate Generalized Linear Mixed Models framework that deals with a
multivariate set of responses, measuring the correlation between them through
random effects ... | http://arxiv.org/abs/2301.00921v1 |
Despite the impressive performance of biological and artificial networks, an
intuitive understanding of how their local learning dynamics contribute to
network-level task solutions remains a challenge to this date. Efforts to bring
learning to a more local scale indeed lead to valuable insights, however, a
general cons... | http://arxiv.org/abs/2306.02149v2 |
In a dynamic distribution market environment, residential prosumers with
solar power generation and battery energy storage devices can flexibly interact
with the power grid via power exchange. Providing a schedule of this
bidirectional power dispatch can facilitate the operational planning for the
grid operator and bri... | http://arxiv.org/abs/2303.10393v1 |
We propose and analyze a protocol for stabilizing a maximally entangled state
of two noninteracting qubits using active state-dependent feedback from a
continuous two-qubit half-parity measurement in coordination with a concurrent,
non-commuting dynamical decoupling drive. We demonstrate that such a drive can
be simult... | http://arxiv.org/abs/2308.03923v2 |
We consider the Markov process defined by some pseudo-differential operator
of the order $1<\alpha<2$ as the process generator. Using a pseudo-gradient
operator, that is, the operator defined by the symbol
$i\lambda|\lambda|^{\beta-1}$ with some $0<\beta<\alpha$, the perturbation of
the Markov process by the pseudo-gra... | http://arxiv.org/abs/2306.15435v2 |
We study the problem of efficiently generating differentially private
synthetic data that approximate the statistical properties of an underlying
sensitive dataset. In recent years, there has been a growing line of work that
approaches this problem using first-order optimization techniques. However,
such techniques are... | http://arxiv.org/abs/2306.03257v1 |
Many systems, when initially placed far from equilibrium, exhibit surprising
behavior in their attempt to equilibrate. Striking examples are the Mpemba
effect and the cooling-heating asymmetry. These anomalous behaviors can be
exploited to shorten the time needed to cool down (or heat up) a system.
Though, a strategy t... | http://arxiv.org/abs/2308.04094v2 |
Geographical location is a crucial element of humanitarian response,
outlining vulnerable populations, ongoing events, and available resources.
Latest developments in Natural Language Processing may help in extracting vital
information from the deluge of reports and documents produced by the
humanitarian sector. Howeve... | http://arxiv.org/abs/2309.02914v1 |
The chiral and deconfinement phase transitions under rotation have been
simultaneously investigated in the Polyakov-Nambu-Jona-Lasinio (PNJL) model. An
interesting observation has been found that the chiral phase transition is
catalyzed and the deconfinement phase transition is decelerated by rotation,
therefore a chir... | http://arxiv.org/abs/2307.14402v2 |
Halin [1965] proved that if a graph has $n$ many pairwise disjoint rays for
each $n$ then it has infinitely many pairwise disjoint rays. We analyze the
complexity of this and other similar results in terms of computable and proof
theoretic complexity. The statement of Halin's theorem and the construction
proving it see... | http://arxiv.org/abs/2308.14287v1 |
Differentiation of the scalar Feynman propagator with respect to the
spacetime coordinates yields the metric on the background spacetime that the
scalar particle propagates in. Now Feynman propagators can be modified in order
to include quantum-gravity corrections as induced by a zero-point length $L>0$.
These correcti... | http://arxiv.org/abs/2306.13044v3 |
Thangaraj and Balasubramanian introduced the so-called somewhat fuzzy
semicontinuous and somewhat fuzzy semiopen functions. Two years later, the same
authors defined two other types of functions called somewhat fuzzy continuous
and somewhat fuzzy open without indicating connections between them. At first
glance, we may... | http://arxiv.org/abs/2305.05376v1 |
The promise and difficulties of language model-based approaches for physics
teaching were assessed in this study. This study evaluates how well ChatGPT and
BingChat, two state-of-the-art (SOTA) large language models (LLMs), perform
when answering high school physics questions on Vietnamese exams from 2019 to
2023. When... | http://arxiv.org/abs/2306.04538v3 |
The interpretability of deep neural networks has become a subject of great
interest within the medical and healthcare domain. This attention stems from
concerns regarding transparency, legal and ethical considerations, and the
medical significance of predictions generated by these deep neural networks in
clinical decis... | http://arxiv.org/abs/2307.08003v2 |
In this note we devise and analyze a well-posed variational formulation of
the Neumann boundary value problem associated to the biharmonic operator
$\Delta^2$. An alternative formulation as a system of two Poisson problems for
the Laplace operator $\Delta$ is also derived. | http://arxiv.org/abs/2306.00776v2 |
Lung cancer has been one of the leading causes of cancer-related deaths
worldwide for years. With the emergence of deep learning, computer-assisted
diagnosis (CAD) models based on learning algorithms can accelerate the nodule
screening process, providing valuable assistance to radiologists in their daily
clinical workf... | http://arxiv.org/abs/2305.01138v1 |
Can language models transform inputs to protect text classifiers against
adversarial attacks? In this work, we present ATINTER, a model that intercepts
and learns to rewrite adversarial inputs to make them non-adversarial for a
downstream text classifier. Our experiments on four datasets and five attack
mechanisms reve... | http://arxiv.org/abs/2305.16444v1 |
Local dissipation of RF power in superconducting radio frequency cavities
create so called hot spots, primary precursors of cavity quench driven by
either thermal or magnetic instability. These hot spots are detected by a
temperature mapping system, and a large increase in temperature on the outer
surface is detected d... | http://arxiv.org/abs/2308.08686v1 |
Understanding the long-term impact of algorithmic interventions on society is
vital to achieving responsible AI. Traditional evaluation strategies often fall
short due to the complex, adaptive and dynamic nature of society. While
reinforcement learning (RL) can be a powerful approach for optimizing decisions
in dynamic... | http://arxiv.org/abs/2310.12494v2 |
Split learning is a simple solution for Vertical Federated Learning (VFL),
which has drawn substantial attention in both research and application due to
its simplicity and efficiency. However, communication efficiency is still a
crucial issue for split learning. In this paper, we investigate multiple
communication redu... | http://arxiv.org/abs/2305.18469v1 |
Measurement error occurs when a covariate influencing a response variable is
corrupted by noise. This can lead to misleading inference outcomes,
particularly in problems where accurately estimating the relationship between
covariates and response variables is crucial, such as causal effect estimation.
Existing methods ... | http://arxiv.org/abs/2306.01468v2 |
Modeling complex systems that consist of different types of objects leads to
multilayer networks, in which vertices are connected by both inter-layer and
intra-layer edges. In this paper, we investigate multiplex networks, in which
vertices in different layers are identified with each other, and the only
inter-layer ed... | http://arxiv.org/abs/2308.09598v1 |
Unveiling the true nature of Dark Matter (DM), which manifests itself only
through gravity, is one of the principal quests in physics. Leading candidates
for DM are weakly interacting massive particles (WIMPs) or ultralight bosons
(axions), at opposite extremes in mass scales, that have been postulated by
competing the... | http://arxiv.org/abs/2304.09895v2 |
Deep learning methods have proven to be a powerful tool in the analysis of
large amounts of complex Earth observation data. However, while Earth
observation data are multi-modal in most cases, only single or few modalities
are typically considered. In this work, we present the ben-ge dataset, which
supplements the BigE... | http://arxiv.org/abs/2307.01741v1 |
Neural Language Models of Code, or Neural Code Models (NCMs), are rapidly
progressing from research prototypes to commercial developer tools. As such,
understanding the capabilities and limitations of such models is becoming
critical. However, the abilities of these models are typically measured using
automated metrics... | http://arxiv.org/abs/2302.03788v5 |
We study the room-temperature electrical control of charge and spin transport
in high-quality bilayer graphene, fully encapsulated with hBN and contacted via
1D spin injectors. We show that spin transport in this device architecture is
measurable at room temperature and its spin transport parameters can be
modulated by... | http://arxiv.org/abs/2305.10035v1 |
El Ni\~no Southern Oscillation (ENSO) diversity is characterized based on the
longitudinal location of maximum sea surface temperature anomalies (SSTA) and
amplitude in the tropical Pacific, as Central Pacific (CP) events are typically
weaker than Eastern Pacific (EP) events. SSTA pattern and intensity undergo
low-freq... | http://arxiv.org/abs/2307.11552v2 |
A covariance matrix with a special pattern (e.g., sparsity or block
structure) is essential for conducting multivariate analysis on
high-dimensional data. Recently, a block covariance or correlation pattern has
been observed in various biological and biomedical studies, such as gene
expression, proteomics, neuroimaging... | http://arxiv.org/abs/2304.08553v1 |
We study the robustness of cheap-talk equilibria to infinitesimal private
information of the receiver in a model with a binary state-space and
state-independent sender-preferences. We show that the sender-optimal
equilibrium is robust if and only if this equilibrium either reveals no
information to the receiver or full... | http://arxiv.org/abs/2302.00281v1 |
Recent advancements in self-supervised learning have demonstrated that
effective visual representations can be learned from unlabeled images. This has
led to increased interest in applying self-supervised learning to the medical
domain, where unlabeled images are abundant and labeled images are difficult to
obtain. How... | http://arxiv.org/abs/2304.03406v1 |
The crystal plasticity finite element method (CPFEM) is used to investigate
the coupling between the cylindrical void growth or collapse and grain
refinement in face-centered cubic (FCC) single crystals. A 2D plane strain
model with one void is used. The effect of the initial lattice orientation,
similarities, and diff... | http://arxiv.org/abs/2307.02248v1 |
Shanks conjectured that $\zeta ' (\rho)$, where $\rho$ ranges over
non-trivial zeros of the Riemann zeta function, is real and positive in the
mean. We present a history of this problem, including a generalisation to all
higher-order derivatives $\zeta^{(n)}(s)$, for which the sign of the mean
alternatives between posi... | http://arxiv.org/abs/2305.14253v2 |
Reconfigurable Intelligent Surfaces (RIS) have recently emerged as a hot
research topic, being widely advocated as a candidate technology for next
generation wireless communications. These surfaces passively alter the behavior
of propagation environments enhancing the performance of wireless communication
systems. In t... | http://arxiv.org/abs/2301.09093v1 |
The process of training feedforward neural networks (FFNNs) can benefit from
an automated process where the best heuristic to train the network is sought
out automatically by means of a high-level probabilistic-based heuristic. This
research introduces a novel population-based Bayesian hyper-heuristic (BHH)
that is use... | http://arxiv.org/abs/2303.16912v1 |
We describe a necessary condition for the local solvability of the strong
inverse variational problem in the context of Monge-Amp\`ere partial
differential equations and first-order Lagrangians. This condition is based on
comparing effective differential forms on the first jet bundle. To illustrate
and apply our approa... | http://arxiv.org/abs/2305.02431v1 |
Fulfilling the rich promise of rapid advances in time-domain astronomy is
only possible through confronting our observations with physical models and
extracting the parameters that best describe what we see. Here, we introduce
{\sc Redback}; a Bayesian inference software package for electromagnetic
transients. {\sc Red... | http://arxiv.org/abs/2308.12806v2 |
One of the greatest challenges facing our society is the discovery of new
innovative crystal materials with specific properties. Recently, the problem of
generating crystal materials has received increasing attention, however, it
remains unclear to what extent, or in what way, we can develop generative
models that cons... | http://arxiv.org/abs/2306.04510v1 |
In this study, we present a graph neural network-based learning approach
using an autoencoder setup to derive low-dimensional variables from features
observed in experimental crystal structures. These variables are then biased in
enhanced sampling to observe state-to-state transitions and reliable
thermodynamic weights... | http://arxiv.org/abs/2310.07927v1 |
Social determinants of health (SDOH) -- the conditions in which people live,
grow, and age -- play a crucial role in a person's health and well-being. There
is a large, compelling body of evidence in population health studies showing
that a wide range of SDOH is strongly correlated with health outcomes. Yet, a
majority... | http://arxiv.org/abs/2305.12622v2 |
Self-supervised speech representations (SSSRs) have been successfully applied
to a number of speech-processing tasks, e.g. as feature extractor for speech
quality (SQ) prediction, which is, in turn, relevant for assessment and
training speech enhancement systems for users with normal or impaired hearing.
However, exact... | http://arxiv.org/abs/2307.13423v3 |
The autoencoder is an unsupervised learning paradigm that aims to create a
compact latent representation of data by minimizing the reconstruction loss.
However, it tends to overlook the fact that most data (images) are embedded in
a lower-dimensional space, which is crucial for effective data representation.
To address... | http://arxiv.org/abs/2310.16194v1 |
We consider the problem of learning Neural Ordinary Differential Equations
(neural ODEs) within the context of Linear Parameter-Varying (LPV) systems in
continuous-time. LPV systems contain bilinear systems which are known to be
universal approximators for non-linear systems. Moreover, a large class of
neural ODEs can ... | http://arxiv.org/abs/2307.03630v1 |
Measuring the argon purity is critical for all Ar-based rare event research
experiments. Mass spectrometry is typically used to assess the uranium and
thorium contamination in samples of the materials used to build low-background
detectors; however, this technique has the potential to provide other valuable
information... | http://arxiv.org/abs/2303.00816v1 |
The interaction of supernova ejecta with a surrounding circumstellar medium
(CSM) generates a strong shock which can convert the ejecta kinetic energy into
observable radiation. Given the diversity of potential CSM structures (arising
from diverse mass loss processes such as late-stage stellar outbursts, binary
interac... | http://arxiv.org/abs/2304.03360v2 |
We present a note on the implementation and efficacy of a box-constrained
$L_1/L_2$ regularization in numerical optimization approaches to performing
tomographic reconstruction from a single projection view. The constrained
$L_1/L_2$ minimization problem is constructed and solved using the Alternating
Direction Method ... | http://arxiv.org/abs/2303.08292v1 |
For the realization of magnon-based current-free technologies, referred to as
magnonics, all-optical control of magnons is an important technique for both
fundamental research and practical applications. Magnon-polariton is a coupled
state of magnon and photon in a magnetic medium, expected to exhibit
magnon-like contr... | http://arxiv.org/abs/2302.01821v2 |
In a digital epoch where cyberspace is the emerging nexus of geopolitical
contention, the melding of information operations and Large Language Models
(LLMs) heralds a paradigm shift, replete with immense opportunities and
intricate challenges. As tools like the Mistral 7B LLM (Mistral, 2023)
democratise access to LLM c... | http://arxiv.org/abs/2310.07099v1 |
Research on power values of power sums has gained much attention of late,
partially due to the explosion of refinements in multiple advanced tools in
(computational) Number Theory in recent years. In this survey, we present the
key tools and techniques employed thus far in the (explicit) resolution of
Diophantine probl... | http://arxiv.org/abs/2306.05168v2 |
Let $n \geq 10$ and let $f_a$ be the quadratic form
$f_a(x_1,\ldots,x_{2n})=\sum_{i=1}^{2n}x_i^2$. Assuming the Generalized Riemann
Hypothesis, we prove that every conjugacy class of $\mathrm{Spin}_{f_a}\left(
\mathbb{Z} \left[ \frac{1}{2} \right] \right)$ has finite width and describe
some consequences. To the best of... | http://arxiv.org/abs/2304.13173v2 |
Brain age prediction using neuroimaging data has shown great potential as an
indicator of overall brain health and successful aging, as well as a disease
biomarker. Deep learning models have been established as reliable and efficient
brain age estimators, being trained to predict the chronological age of healthy
subjec... | http://arxiv.org/abs/2307.05241v1 |
In the present paper, dedicated to Yuri Manin, we investigate the general
notion of rings of $\mathbb S[\mu_{n,+}]$-polynomials and relate this concept
to the known notion of number systems. The Riemann-Roch theorem for the ring
$\mathbb Z$ of the integers that we obtained recently uses the understanding of
$\mathbb Z$... | http://arxiv.org/abs/2307.06748v1 |
The interface between NiCr alloys and FLiNaK molten salt exhibits complex
corrosion behavior, mainly driven by intricate chemical interactions involving
Cr and F$\mathrm{^-}$ ions. Understanding these dynamic reactions is crucial
for developing effective corrosion mitigation strategies to ensure the
long-term durabilit... | http://arxiv.org/abs/2310.05856v1 |
A major challenge in robotics is to design robust policies which enable
complex and agile behaviors in the real world. On one end of the spectrum, we
have model-free reinforcement learning (MFRL), which is incredibly flexible and
general but often results in brittle policies. In contrast, model predictive
control (MPC)... | http://arxiv.org/abs/2310.04590v1 |
Scientific and engineering problems often involve parametric partial
differential equations (PDEs), such as uncertainty quantification,
optimizations, and inverse problems. However, solving these PDEs repeatedly can
be prohibitively expensive, especially for large-scale complex applications. To
address this issue, redu... | http://arxiv.org/abs/2307.01027v1 |
Motivated by the need to study the performance of vehicular communication
protocols as applicable to heterogeneous traffic conditions, we study the
performance of IEEE 802.11p medium access protocol under such a traffic setup.
We consider a setup comprising connected vehicles and human-driven Motorised
Two Wheelers (MT... | http://arxiv.org/abs/2306.16672v2 |
We discuss mean field theory of Quarkyonic matter at zero temperature. We
treat the nucleons with contact interactions in mean field approximation,
discussing both vector and scalar mean field interactions. We treat the quarks
without mean field vector interactions, but allow mass terms to be generated
consistent from ... | http://arxiv.org/abs/2302.04781v1 |
Simplicial map neural networks (SMNNs) are topology-based neural networks
with interesting properties such as universal approximation ability and
robustness to adversarial examples under appropriate conditions. However, SMNNs
present some bottlenecks for their possible application in high-dimensional
datasets. First, S... | http://arxiv.org/abs/2306.00010v3 |
Algorithms for deriving Huffman codes and the recently developed algorithm
for compiling PIFO trees to trees of fixed shape (Mohan et al. 2022) are
similar, but work with different underlying algebraic operations. In this
paper, we exploit the monadic structure of prefix codes to create a generalized
Huffman algorithm ... | http://arxiv.org/abs/2301.02878v1 |
The Laser Interferometer Space Antenna (LISA) will detect gravitational waves
(GWs) emitted by massive black hole binaries (MBHBs) in the low-frequency
($\sim$mHz) band. Low-mass lenses, such as low-mass dark matter halos or
subhalos, have sizes comparable to the wavelength of these GWs. Encounters with
these lenses pr... | http://arxiv.org/abs/2307.06990v2 |
The fundamental theorem of Tur\'{a}n from Extremal Graph Theory determines
the exact bound on the number of edges $t_r(n)$ in an $n$-vertex graph that
does not contain a clique of size $r+1$. We establish an interesting link
between Extremal Graph Theory and Algorithms by providing a simple compression
algorithm that i... | http://arxiv.org/abs/2307.07456v1 |
We introduce a new scheme based on the marked correlation function to probe
gravity using the large-scale structure of the Universe. We illustrate our
approach by applying it to simulations of the metric-variation $f(R)$ modified
gravity theory and general relativity (GR). The modifications to the equations
in $f(R)$ g... | http://arxiv.org/abs/2304.06218v2 |
Implicit Neural Representations (INRs) are nowadays used to represent
multimedia signals across various real-life applications, including image
super-resolution, image compression, or 3D rendering. Existing methods that
leverage INRs are predominantly focused on visual data, as their application to
other modalities, su... | http://arxiv.org/abs/2302.04959v3 |
Motion prediction is a key factor towards the full deployment of autonomous
vehicles. It is fundamental in order to assure safety while navigating through
highly interactive complex scenarios. In this work, the framework IAMP
(Interaction- Aware Motion Prediction), producing multi-modal probabilistic
outputs from the i... | http://arxiv.org/abs/2304.11764v1 |
Temporal-difference (TD) learning is widely regarded as one of the most
popular algorithms in reinforcement learning (RL). Despite its widespread use,
it has only been recently that researchers have begun to actively study its
finite time behavior, including the finite time bound on mean squared error and
sample comple... | http://arxiv.org/abs/2306.09746v1 |
The angular synchronization problem aims to accurately estimate (up to a
constant additive phase) a set of unknown angles $\theta_1, \dots,
\theta_n\in[0, 2\pi)$ from $m$ noisy measurements of their offsets
$\theta_i-\theta_j \;\mbox{mod} \; 2\pi.$ Applications include, for example,
sensor network localization, phase r... | http://arxiv.org/abs/2310.05842v2 |
In this article, we demonstrate the common fixed point theorems for three
transformations on vector S-metric space by utilizing weakly compatible and
point of coincidence. Moreover, some of our results generalize the existing
results in the literature. | http://arxiv.org/abs/2304.07112v4 |
Machine-learned interatomic potentials are fast becoming an indispensable
tool in computational materials science. One approach is the ephemeral
data-derived potential (EDDP), which was designed to accelerate atomistic
structure prediction. The EDDP is simple and cost-efficient. It relies on
training data generated in ... | http://arxiv.org/abs/2306.06475v2 |
The interaction between the supersonic motion of the Large Magellanic Cloud
(LMC) and the Circumgalactic Medium (CGM) is expected to result in a bow shock
that leads the LMC's gaseous disk. In this letter, we use hydrodynamic
simulations of the LMC's recent infall to predict the extent of this shock and
its effect on t... | http://arxiv.org/abs/2308.10963v2 |
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