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Rigidity of the interaction graph is a fundamental condition for achieving
the desired formation which can be defined in terms of distance or bearing
constraints between agents. In this paper, for reaching a unique formation with
the same scaling and orientation as the target formation, both distance and
bearing constr... | http://arxiv.org/abs/2309.10183v1 |
One-shot LiDAR localization refers to the ability to estimate the robot pose
from one single point cloud, which yields significant advantages in
initialization and relocalization processes. In the point cloud domain, the
topic has been extensively studied as a global descriptor retrieval (i.e., loop
closure detection) ... | http://arxiv.org/abs/2309.08914v1 |
We show that the following properties of unital ${\rm C^*}$-algebra in a
class of $\Omega$ are preserved by unital simple ${\rm C^*}$-algebra in the
class of $\rm WTA\Omega$: $(1)$ uniform property $\Gamma$, $(2)$ a certain type
of tracial nuclear dimension at most $n$, $(3)$ weakly $(m, n)$-divisible. | http://arxiv.org/abs/2309.08900v2 |
The nearby dwarf galaxy POX 52 at $z = 0.021$ hosts an active galactic
nucleus (AGN) with a black-hole (BH) mass of $M_{\rm BH} \sim 10^{5-6} M_\odot$
and an Eddington ratio of $\sim$ 0.1-1. This object provides the rare
opportunity to study both AGN and host-galaxy properties in a low-mass highly
accreting system. To ... | http://arxiv.org/abs/2310.20137v1 |
Understanding the intention of vehicles in the surrounding traffic is crucial
for an autonomous vehicle to successfully accomplish its driving tasks in
complex traffic scenarios such as highway forced merging. In this paper, we
consider a behavioral model that incorporates both social behaviors and
personal objectives ... | http://arxiv.org/abs/2309.14497v1 |
There is a rapidly growing number of open-source Large Language Models (LLMs)
and benchmark datasets to compare them. While some models dominate these
benchmarks, no single model typically achieves the best accuracy in all tasks
and use cases. In this work, we address the challenge of selecting the best LLM
out of a co... | http://arxiv.org/abs/2309.15789v1 |
One of the founding results of lattice based cryptography is a quantum
reduction from the Short Integer Solution problem to the Learning with Errors
problem introduced by Regev. It has recently been pointed out by Chen, Liu and
Zhandry that this reduction can be made more powerful by replacing the learning
with errors ... | http://arxiv.org/abs/2310.20651v1 |
CNN-based deep learning models for disease detection have become popular
recently. We compared the binary classification performance of eight prominent
deep learning models: DenseNet 121, DenseNet 169, DenseNet 201, EffecientNet
b0, EffecientNet lite4, GoogleNet, MobileNet, and ResNet18 for their binary
classification ... | http://arxiv.org/abs/2309.10829v2 |
Various studies have shown that the late acceleration of the universe can be
caused by the bulk viscosity associated with dark matter. But recently, it was
indicated that a cosmological constant is essential for maintaining Near
Equilibrium Conditions (NEC) for the bulk viscous matter during the accelerated
expansion o... | http://arxiv.org/abs/2309.06093v2 |
A technique is proposed that uses a multi-scale approach to calculate
transport properties of compressed felts using only image analysis and
numerical calculations. From the image analysis fiber diameter distribution and
fiber orientation are determined. From a known porosity and the latter two
characteristics, two rep... | http://arxiv.org/abs/2309.09388v4 |
The GelSight-like visual tactile (VT) sensor has gained popularity as a
high-resolution tactile sensing technology for robots, capable of measuring
touch geometry using a single RGB camera. However, the development of
multi-modal perception for VT sensors remains a challenge, limited by the mono
camera. In this paper, ... | http://arxiv.org/abs/2309.08096v1 |
Parity measurements are central to quantum error correction (QEC). In current
implementations measurements of stabilizers are performed using a number of
Controlled Not (CNOT) gates. This implementation suffers from an exponential
decrease in fidelity as the number of CNOT gates increases thus the stabilizer
measuremen... | http://arxiv.org/abs/2309.06905v1 |
The detailed images produced by Magnetic Resonance Imaging (MRI) provide
life-critical information for the diagnosis and treatment of prostate cancer.
To provide standardized acquisition, interpretation and usage of the complex
MRI images, the PI-RADS v2 guideline was proposed. An automated segmentation
following the g... | http://arxiv.org/abs/2309.12970v1 |
Training deep learning models for video classification from audio-visual data
commonly requires immense amounts of labeled training data collected via a
costly process. A challenging and underexplored, yet much cheaper, setup is
few-shot learning from video data. In particular, the inherently multi-modal
nature of vide... | http://arxiv.org/abs/2309.03869v1 |
In this study, we present our experimental investigation on the
magnetotransport properties of a two-dimensional electron system in GaAs
quantum wells utilizing a variety of device geometries, including obstacles
with thin barriers and periodic width variations. Our primary focus is to
explore the impact of these geome... | http://arxiv.org/abs/2309.12964v1 |
Dense packing in pick-and-place systems is an important feature in many
warehouse and logistics applications. Prior work in this space has largely
focused on planning algorithms in simulation, but real-world packing
performance is often bottlenecked by the difficulty of perceiving 3D object
geometry in highly occluded,... | http://arxiv.org/abs/2308.00091v1 |
Early dark energy is a promising potential resolution of the Hubble tension.
Unfortunately, many models suffer from the need to fine-tune their initial
conditions to ensure that the epoch of early dark energy coincides with
matter-radiation equality. We propose a class of attractive early dark energy
models where this ... | http://arxiv.org/abs/2309.08082v2 |
Finding optimal trajectories for multiple traffic demands in a congested
network is a challenging task. Optimal transport theory is a principled
approach that has been used successfully to study various transportation
problems. Its usage is limited by the lack of principled and flexible ways to
incorporate realistic co... | http://arxiv.org/abs/2309.04727v2 |
The goal of the present article is to offer a number of new retarded
nonlinear inequalities of Gronwall, Bellman and Pachpatte kind for a class of
integral and integro-differential equations. These inequalities generalize and
provide new formulations of some well-known results in the mathematical
framework of integral ... | http://arxiv.org/abs/2310.06053v1 |
This work investigates large language models (LLMs) as teachable agents for
learning by teaching (LBT). LBT with teachable agents helps learners identify
knowledge gaps and discover new knowledge. However, teachable agents require
expensive programming of subject-specific knowledge. While LLMs as teachable
agents can r... | http://arxiv.org/abs/2309.14534v3 |
This work examines a symmetry-protected bound state in the continuum (BIC)
supported unique all-dielectric dome-shaped metasurface (MS). The simple unit
MS is made up of four dome-shaped nanobars of silicon in the top layer and
silica glass as the substrate. Two strong transmission dips denoted as an
electric dipole (E... | http://arxiv.org/abs/2310.00422v2 |
In this paper, Ricci-inverse gravity is investigated. It is an alternative
theory of gravity that introduces into the Einstein-Hilbert action an
anti-curvature scalar that is obtained from the anti-curvature tensor which is
the inverse of the Ricci tensor. An axially symmetric spacetime with causality
violation is stud... | http://arxiv.org/abs/2309.05439v1 |
This paper provides an insight into the possibility of how to find ontologies
most relevant to scientific texts using artificial neural networks. The basic
idea of the presented approach is to select a representative paragraph from a
source text file, embed it to a vector space by a pre-trained fine-tuned
transformer, ... | http://arxiv.org/abs/2309.09203v1 |
Action anticipation involves forecasting future actions by connecting past
events to future ones. However, this reasoning ignores the real-life hierarchy
of events which is considered to be composed of three main parts: past,
present, and future. We argue that considering these three main parts and their
dependencies c... | http://arxiv.org/abs/2309.06130v1 |
This paper aims at the algorithmic/theoretical core of reinforcement learning
(RL) by introducing the novel class of proximal Bellman mappings. These
mappings are defined in reproducing kernel Hilbert spaces (RKHSs), to benefit
from the rich approximation properties and inner product of RKHSs, they are
shown to belong ... | http://arxiv.org/abs/2309.07548v1 |
Persistent homology is a natural tool for probing the topological
characteristics of weighted graphs, essentially focusing on their
$0$-dimensional homology. While this area has been substantially studied, we
present a new approach to constructing a filtration for cluster analysis via
persistent homology. The key advan... | http://arxiv.org/abs/2310.00350v1 |
Offline model selection (OMS), that is, choosing the best policy from a set
of many policies given only logged data, is crucial for applying offline RL in
real-world settings. One idea that has been extensively explored is to select
policies based on the mean squared Bellman error (MSBE) of the associated
Q-functions. ... | http://arxiv.org/abs/2302.00141v2 |
Deployment in hazardous environments requires robots to understand the risks
associated with their actions and movements to prevent accidents. Despite its
importance, these risks are not explicitly modeled by currently deployed
locomotion controllers for legged robots. In this work, we propose a risk
sensitive locomoti... | http://arxiv.org/abs/2309.14246v2 |
We investigate the dynamics of a first-order quark-hadron transition via
homogeneous thermal nucleation in the two-flavor quark-meson model. The
contribution of the fermionic vacuum loop in the effective thermodynamics
potential and phase diagram together with the location of critical end point
(CEP) have been obtained... | http://arxiv.org/abs/2309.13529v3 |
We study Hermitian non-commutative quadratic polynomials of multiple
independent Wigner matrices. We prove that, with the exception of some specific
reducible cases, the limiting spectral density of the polynomials always has a
square root growth at its edges and prove an optimal local law around these
edges. Combining... | http://arxiv.org/abs/2308.16778v1 |
Existing deep learning models have achieved promising performance in
recognizing skin diseases from dermoscopic images. However, these models can
only recognize samples from predefined categories, when they are deployed in
the clinic, data from new unknown categories are constantly emerging.
Therefore, it is crucial to... | http://arxiv.org/abs/2309.16451v1 |
Few-shot image classification has recently witnessed the rise of
representation learning being utilised for models to adapt to new classes using
only a few training examples. Therefore, the properties of the representations,
such as their underlying probability distributions, assume vital importance.
Representations sa... | http://arxiv.org/abs/2309.16337v1 |
Current approaches to identifying driving heterogeneity face challenges in
capturing the diversity of driving characteristics and understanding the
fundamental patterns from a driving behaviour mechanism standpoint. This study
introduces a comprehensive framework for identifying driving heterogeneity from
an Action-cha... | http://arxiv.org/abs/2307.16843v1 |
In microbiome analysis, researchers often seek to identify taxonomic features
associated with an outcome of interest. However, microbiome features are
intercorrelated and linked by phylogenetic relationships, making it challenging
to assess the association between an individual feature and an outcome.
Researchers have ... | http://arxiv.org/abs/2309.08109v1 |
Fitting the recent $e^+e^-\ra\phi\,\eta$ data by the Belle collaboration with
a theoretical formula reveals, besides the dominant $\phi(1680)$ resonance, two
narrow resonances: expected $\phi(2170)$ resonance and an unexpected resonance
with the mass of about 1851 MeV. Close proximity to the $X(1835)$ resonance
suggest... | http://arxiv.org/abs/2309.14520v2 |
Nonlinear tracking control enabling a dynamical system to track a desired
trajectory is fundamental to robotics, serving a wide range of civil and
defense applications. In control engineering, designing tracking control
requires complete knowledge of the system model and equations. We develop a
model-free, machine-lear... | http://arxiv.org/abs/2309.11470v1 |
The Hubble diagram of quasars, as candidates to ``standardizable" candles,
has been used to measure the expansion history of the Universe at late times,
up to very high redshifts ($z \sim 7$). It has been shown that this history, as
inferred from the quasar dataset, deviates at $\gtrsim 3 \sigma$ level from the
concord... | http://arxiv.org/abs/2309.07212v2 |
Training and preparing first responders and humanitarian robots for Mass
Casualty Incidents (MCIs) often poses a challenge owing to the lack of
realistic and easily accessible test facilities. While such facilities can
offer realistic scenarios post an MCI that can serve training and educational
purposes for first resp... | http://arxiv.org/abs/2309.14508v1 |
Purpose of Review: The field of humanoid robotics, perception plays a
fundamental role in enabling robots to interact seamlessly with humans and
their surroundings, leading to improved safety, efficiency, and user
experience. This scientific study investigates various perception modalities
and techniques employed in hu... | http://arxiv.org/abs/2309.15616v1 |
MMEAD, or MS MARCO Entity Annotations and Disambiguations, is a resource for
entity links for the MS MARCO datasets. We specify a format to store and share
links for both document and passage collections of MS MARCO. Following this
specification, we release entity links to Wikipedia for documents and passages
in both M... | http://arxiv.org/abs/2309.07574v1 |
Accurately predicting the intent of customer support requests is vital for
efficient support systems, enabling agents to quickly understand messages and
prioritize responses accordingly. While different approaches exist for intent
detection, maintaining separate client-specific or industry-specific models can
be costly... | http://arxiv.org/abs/2309.08647v1 |
To any finite group $G$, we may associate a graph whose vertices are the
elements of $G$ and where two distinct vertices $x$ and $y$ are adjacent if and
only if the order of the subgroup $\langle x, y\rangle$ is divisible by at
least 3 distinct primes. We prove that the subgraph of this graph induced by
the non-isolate... | http://arxiv.org/abs/2308.16750v2 |
We introduce a new, Kac-Moody-flavoured construction for Lie superalgebras,
which seeks to incorporate phenomena of the queer Lie superalgebra. The idea of
the generalization is to replace the maximal torus by a maximal quasitoral
subalgebra, which has the representation theory of a family of (degenerate)
Clifford supe... | http://arxiv.org/abs/2309.09559v1 |
The competitive nature of Cloud marketplaces as new concerns in delivery of
services makes the pricing policies a crucial task for firms. so that, pricing
strategies has recently attracted many researchers. Since game theory can
handle such competing well this concern is addressed by designing a normal form
game betwee... | http://arxiv.org/abs/2309.11316v1 |
Progress in High-Performance Computing in general, and High-Performance Graph
Processing in particular, is highly dependent on the availability of
publicly-accessible, relevant, and realistic data sets.
To ensure continuation of this progress, we (i) investigate and optimize the
process of generating large sequence s... | http://arxiv.org/abs/2308.16744v1 |
In a recent paper, Chen, Erchenko and Gogolev have proven that if a
Riemannian manifold with boundary has hyperbolic geodesic trapped set, then it
can be embedded into a compact manifold whose geodesic flow is Anosov. They
have to introduce some assumptions that we discuss here. We explain how some
can be removed, obta... | http://arxiv.org/abs/2309.11302v2 |
We study the decay of $B^+$ meson into $K^+$ plus a light mediator $\phi$,
which subsequently decays into a dark matter pair, $\bar \chi \chi$.
Integrating constraints from DM relic density, direct detection, collider data
and $B$-physics, alongside the recently reported results form Belle II
experiment, we analyze the... | http://arxiv.org/abs/2309.03706v2 |
Perception modules are integral in many modern autonomous systems, but their
accuracy can be subject to the vagaries of the environment. In this paper, we
propose a learning-based approach that can automatically characterize the error
of a perception module from data and use this for safe control. The proposed
approach... | http://arxiv.org/abs/2309.13515v2 |
The advances in Artificial Intelligence (AI) and Machine Learning (ML) have
opened up many avenues for scientific research, and are adding new dimensions
to the process of knowledge creation. However, even the most powerful and
versatile of ML applications till date are primarily in the domain of analysis
of associatio... | http://arxiv.org/abs/2309.04069v2 |
Deep learning has achieved state-of-the-art performance on several computer
vision tasks and domains. Nevertheless, it still has a high computational cost
and demands a significant amount of parameters. Such requirements hinder the
use in resource-limited environments and demand both software and hardware
optimization.... | http://arxiv.org/abs/2309.11464v2 |
Vision transformers (ViTs) have significantly changed the computer vision
landscape and have periodically exhibited superior performance in vision tasks
compared to convolutional neural networks (CNNs). Although the jury is still
out on which model type is superior, each has unique inductive biases that
shape their lea... | http://arxiv.org/abs/2306.17848v1 |
Among the most fundamental questions in the manipulation of quantum resources
such as entanglement is the possibility of reversibly transforming all resource
states. The key consequence of this would be the identification of a unique
entropic resource measure that exactly quantifies the limits of achievable
transformat... | http://arxiv.org/abs/2309.07206v3 |
We treat two identical and mutually independent two-level atoms that are
coupled to a quantum field as an open quantum system. The master equation that
governs their evolution is derived by tracing over the degree of freedom of the
field. With this, we compare the entanglement dynamics of the two atoms moving
with diff... | http://arxiv.org/abs/2309.08135v2 |
In recent years, there has been a growing interest in understanding complex
microstructures and their effect on macroscopic properties. In general, it is
difficult to derive an effective constitutive law for such microstructures with
reasonable accuracy and meaningful parameters. One numerical approach to bridge
the sc... | http://arxiv.org/abs/2307.16894v2 |
We consider convex bodies in $M_{n,m}(\mathbb R)$, the space of matrices of
$n$-rows and $m$-columns. A special case of fiber-symmetrization in
$M_{n,m}(\mathbb R)$ was recently introduced in [5,6]. We prove a
Rogers--Brascamp--Lieb--Luttinger type inequality with respect to this
symmetrization, for quasi-concave funct... | http://arxiv.org/abs/2309.13298v3 |
Real-world graphs naturally exhibit hierarchical or cyclical structures that
are unfit for the typical Euclidean space. While there exist graph neural
networks that leverage hyperbolic or spherical spaces to learn representations
that embed such structures more accurately, these methods are confined under
the message-p... | http://arxiv.org/abs/2309.04082v1 |
Amidst the worldwide efforts to decarbonize power networks, Local Electricity
Markets (LEMs) in distribution networks are gaining importance due to the
increased adoption of renewable energy sources and prosumers. Considering that
LEMs involve data exchange among independent entities, privacy and
cybersecurity are some... | http://arxiv.org/abs/2310.00387v1 |
Dexterous manipulation, especially of small daily objects, continues to pose
complex challenges in robotics. This paper introduces the DenseTact-Mini, an
optical tactile sensor with a soft, rounded, smooth gel surface and compact
design equipped with a synthetic fingernail. We propose three distinct grasping
strategies... | http://arxiv.org/abs/2309.08860v1 |
3D geo-information is of great significance for understanding the living
environment; however, 3D perception from remote sensing data, especially on a
large scale, is restricted. To tackle this problem, we propose a method for
monocular height estimation from optical imagery, which is currently one of the
richest sourc... | http://arxiv.org/abs/2309.16486v1 |
The recent proposal by Ben-Zvi, Sakellaridis and Venkatesh of a duality in
the relative Langlands program, leads, via the process of quantization of
Hamiltonian varieties, to a duality theory of branching problems. This often
unexpectedly relates two a priori unrelated branching problems. We examine how
the generalised... | http://arxiv.org/abs/2309.08874v2 |
In recent years machine translation has become very successful for
high-resource language pairs. This has also sparked new interest in research on
the automatic translation of low-resource languages, including Indigenous
languages. However, the latter are deeply related to the ethnic and cultural
groups that speak (or ... | http://arxiv.org/abs/2305.19474v1 |
We derive a kinetic equation to describe the statistical structure of
solutions $\rho$ to scalar conservation laws $\rho_t=H(x,t,\rho )_x$, with
certain Markov initial conditions. When the Hamiltonian function is convex and
increasing in $\rho$, we show that the solution $\rho(x,t)$ is a Markov process
in $x$ (respecti... | http://arxiv.org/abs/2309.04096v1 |
We review three different approaches to polynomial symmetry algebras
underlying superintegrable systems in Darboux spaces. The first method consists
of using deformed oscillator algebra to obtain finite-dimensional
representations of quadratic algebras. This allow one to gain information on
the spectrum of the superint... | http://arxiv.org/abs/2309.04928v1 |
We prove that a smooth, complex plane curve $C$ of odd degree can be defined
by a polynomial with real coefficients if and only if $C$ is isomorphic to its
complex conjugate. Counterexamples are known for curves of even degree.
More generally, we prove that a plane curve $C$ over an algebraically closed
field $K$ of ... | http://arxiv.org/abs/2309.12192v1 |
We make some remarks on the linear wave equation concerning the existence and
uniqueness of weak solutions, satisfaction of the energy equation, growth
properties of solutions, the passage from bounded to unbounded domains, and
reconciliation of different representations of solutions. | http://arxiv.org/abs/2307.16880v2 |
In this paper, we present our finding that prepending a Task-Agnostic Prefix
Prompt (TAPP) to the input improves the instruction-following ability of
various Large Language Models (LLMs) during inference. TAPP is different from
canonical prompts for LLMs in that it is a fixed prompt prepended to the
beginning of every ... | http://arxiv.org/abs/2302.14691v2 |
The spinors of the group Spin($N$) of rotations in $N$ spacetime dimensions
are indexed by a bitcode with [$N$/2] bits. A well-known promising grand
unified group that contains the standard-model group is Spin(10). Fermions in
the standard model are described by five bits $yzrgb$, consisting of two weak
bits $y$ and $z... | http://arxiv.org/abs/2308.12293v1 |
In this work we study the robustness to adversarial attacks, of
early-stopping strategies on gradient-descent (GD) methods for linear
regression. More precisely, we show that early-stopped GD is optimally robust
(up to an absolute constant) against Euclidean-norm adversarial attacks.
However, we show that this strategy... | http://arxiv.org/abs/2301.13486v1 |
Computed Tomography (CT) is a prominent example of Imaging Inverse Problem
highlighting the unrivaled performances of data-driven methods in degraded
measurements setups like sparse X-ray projections. Although a significant
proportion of deep learning approaches benefit from large supervised datasets,
they cannot gener... | http://arxiv.org/abs/2307.16670v3 |
We develop a hybrid scheme to renormalize quasi distribution amplitudes of a
light baryon on the lattice, which combines the self-renormalization and ratio
scheme. By employing self-renormalization, the UV divergences and linear
divergence at large spatial separations in quasi distribution amplitudes are
removed withou... | http://arxiv.org/abs/2308.16793v2 |
Coral reefs are among the most diverse ecosystems on our planet, and are
depended on by hundreds of millions of people. Unfortunately, most coral reefs
are existentially threatened by global climate change and local anthropogenic
pressures. To better understand the dynamics underlying deterioration of reefs,
monitoring... | http://arxiv.org/abs/2309.12804v1 |
This work aims to provide an overview on the open-source multilanguage tool
called StyloMetrix. It offers stylometric text representations that cover
various aspects of grammar, syntax and lexicon. StyloMetrix covers four
languages: Polish as the primary language, English, Ukrainian and Russian. The
normalized output o... | http://arxiv.org/abs/2309.12810v1 |
In recent years the concept of metaverse has evolved in the attempt of
defining richer immersive and interactive environments supporting various types
of virtual experiences and interactions among users. This has led to the
emergence of various different metaverse platforms that utilize blockchain
technology and non-fu... | http://arxiv.org/abs/2308.16787v1 |
We prove, with an unconditional effective error bound, the Sato-Tate
distributions for two families of surfaces arising from products of elliptic
curves, namely a one-parameter family of K3 surfaces and double quadric
surfaces. To prove these effective Sato-Tate distributions, we prove an
effective form of the joint Sa... | http://arxiv.org/abs/2309.08848v1 |
Data scarcity is a common obstacle in medical research due to the high costs
associated with data collection and the complexity of gaining access to and
utilizing data. Synthesizing health data may provide an efficient and
cost-effective solution to this shortage, enabling researchers to explore
distributions and popul... | http://arxiv.org/abs/2307.16664v1 |
In this work, we investigate task planning for mobile robots under linear
temporal logic (LTL) specifications. This problem is particularly challenging
when robots navigate in continuous workspaces due to the high computational
complexity involved. Sampling-based methods have emerged as a promising avenue
for addressin... | http://arxiv.org/abs/2309.14050v2 |
In this manuscript, we study photonsphere, shadow, quasinormal modes, Hawking
temperature, and greybody bounds of a non-rotating Simpson-Visser black hole
which is a regular black hole. We observe that though the radius of the
photonsphere does depend on the Simpson-Visser parameter $\alpha$, the shadow
radius is indep... | http://arxiv.org/abs/2309.06454v1 |
We study the effects of cut-off physics, in the form of a modified algebra
inspired by Polymer Quantum Mechanics and by the Generalized Uncertainty
Principle representation, on the collapse of a spherical dust cloud. We analyze
both the Newtonian formulation, originally developed by Hunter, and the general
relativistic... | http://arxiv.org/abs/2309.09767v2 |
We introduce a generalization of immanants of matrices, using partition
algebra characters in place of symmetric group characters. We prove that our
immanant-like function on square matrices, which we refer to as the
recombinant, agrees with the usual definition for immanants for the special
case whereby the vacillatin... | http://arxiv.org/abs/2309.16647v1 |
Event cameras do not produce images, but rather a continuous flow of events,
which encode changes of illumination for each pixel independently and
asynchronously. While they output temporally rich information, they lack any
depth information which could facilitate their use with other sensors. LiDARs
can provide this d... | http://arxiv.org/abs/2302.14444v1 |
Let $(A,\mathfrak{m})$ be a Gorenstein local ring and let $M$ be a finitely
generated Cohen Macaulay $A$ module. Let $G(A)=\bigoplus_{n\geq
0}\mathfrak{m}^n/\mathfrak{m}^{n+1}$ be the associated graded ring of $A$ and
$G(M)=\bigoplus_{n\geq 0}\mathfrak{m}^nM/\mathfrak{m}^{n+1}M$ be the associated
graded module of $M$. ... | http://arxiv.org/abs/2309.15428v1 |
Current trends in networking propose the use of Machine Learning (ML) for a
wide variety of network optimization tasks. As such, many efforts have been
made to produce ML-based solutions for Traffic Engineering (TE), which is a
fundamental problem in ISP networks. Nowadays, state-of-the-art TE optimizers
rely on tradit... | http://arxiv.org/abs/2303.18157v1 |
Reconfigurable intelligent surfaces (RISs) have emerged as a candidate
technology for future 6G networks. However, due to the "multiplicative fading"
effect, the existing passive RISs only achieve a negligible capacity gain in
environments with strong direct links. In this paper, the concept of active
RISs is studied t... | http://arxiv.org/abs/2301.00161v1 |
We report the detection of a 13$\sigma$ H$\alpha$ emission line from HDF850.1
at $z=5.188\pm0.001$ using the FRESCO NIRCam F444W grism observations.
Detection of H$\alpha$ in HDF850.1 is noteworthy, given its high far-IR
luminosity, substantial dust obscuration, and the historical challenges in
deriving its redshift. H... | http://arxiv.org/abs/2309.04525v1 |
An identity that is reminiscent of the Littlewood identity plays a
fundamental role in recent proofs of the facts that alternating sign triangles
are equinumerous with totally symmetric self-complementary plane partitions and
that alternating sign trapezoids are equinumerous with holey cyclically
symmetric lozenge tili... | http://arxiv.org/abs/2301.00175v2 |
We report the existence of dissipationless currents in bilayer
superconductors above the critical temperature $T_c$, assuming that the
superconducting phase transition is dominated by phase fluctuations. Using a
semiclassical $U(1)$ lattice gauge theory, we show that thermal fluctuations
cause a transition from the sup... | http://arxiv.org/abs/2309.04531v1 |
In this work, we consider the complex control problem of making a monopod
reach a target with a jump. The monopod can jump in any direction and the
terrain underneath its foot can be uneven. This is a template of a much larger
class of problems, which are extremely challenging and computationally
expensive to solve usi... | http://arxiv.org/abs/2309.07038v4 |
Vehicle-to-infrastructure (V2I) communication is becoming indispensable for
successful roll-out of connected and autonomous vehicles (CAVs). While
increasing the CAVs' speed improves the average CAV traffic flow, it increases
communication handoffs (HOs) thus reducing wireless data rates. Furthermore,
unplanned density... | http://arxiv.org/abs/2307.06852v1 |
Model Leeching is a novel extraction attack targeting Large Language Models
(LLMs), capable of distilling task-specific knowledge from a target LLM into a
reduced parameter model. We demonstrate the effectiveness of our attack by
extracting task capability from ChatGPT-3.5-Turbo, achieving 73% Exact Match
(EM) similari... | http://arxiv.org/abs/2309.10544v1 |
The aim of this paper is to study almost rigidity properties of super Ricci
flow whose Muller quantity is non-negative. We conclude almost splitting and
quantitative stratification theorems that have been established by Bamler for
Ricci flow. As a byproduct, we obtain an almost constancy for a certain
integral quantity... | http://arxiv.org/abs/2309.11882v3 |
Real-world data often exhibits a long-tailed distribution, in which head
classes occupy most of the data, while tail classes only have very few samples.
Models trained on long-tailed datasets have poor adaptability to tail classes
and the decision boundaries are ambiguous. Therefore, in this paper, we propose
a simple ... | http://arxiv.org/abs/2309.16135v1 |
Text-to-image diffusion models generate impressive and realistic images, but
do they learn to represent the 3D world from only 2D supervision? We
demonstrate that yes, certain 3D scene representations are encoded in the text
embedding space of models like Stable Diffusion. Our approach, Viewpoint Neural
Textual Inversi... | http://arxiv.org/abs/2309.07986v2 |
We study the accuracy of job seekers' wage expectations by comparing
subjective beliefs to objective benchmarks using linked administrative and
survey data. Our findings show that especially job seekers with low objective
earnings potential and those predicted to face a penalty compared to their
pre-unemployment wage d... | http://arxiv.org/abs/2309.14044v2 |
The $m$-neighbor complex of a graph is the simplicial complex in which faces
are sets of vertices with at least $m$ common neighbors. We consider these
complexes for Erdos-Renyi random graphs and find that for certain explicit
families of parameters the resulting complexes are with high probability
$(t-1)$-dimensional ... | http://arxiv.org/abs/2309.05149v1 |
The reconstruction of spectral functions from Euclidean correlation functions
is a well-known, yet ill-posed inverse problem in the fields of many-body and
high-energy physics. In this paper, we present a comprehensive investigation of
two recently developed analytic continuation methods, namely stochastic pole
expansi... | http://arxiv.org/abs/2309.11114v1 |
Motivated by a series of recent works, an interest in multifractal phases has
risen as they are believed to be present in the Many-Body Localized (MBL) phase
and are of high demand in quantum annealing and machine learning. Inspired by
the success of the RosenzweigPorter (RP) model with Gaussian-distributed
hopping ele... | http://arxiv.org/abs/2309.06468v2 |
We consider the long-time behavior of solutions to the two dimensional
non-homogeneous Euler equations under the Boussinesq approximation posed on a
periodic channel. We study the linearized system near a linearly stratified
Couette flow and prove inviscid damping of the perturbed density and velocity
field for any pos... | http://arxiv.org/abs/2309.08445v2 |
Magnetic helicity, $H$, measures magnetic linkages in a volume. The early
theoretical development of helicity focused on magnetically closed systems in
$\mathcal{V}$ bounded by $\mathcal{S}$. For magnetically closed systems,
$\mathcal{V}\in\mathbb{R}^3=\mathcal{V}+\mathcal{V}^*$, no magnetic flux
threads the boundary, ... | http://arxiv.org/abs/2309.07776v1 |
In this paper the Nash-Moser iteration method is used to study the gradient
estimates of solutions to the quasilinear elliptic equation $\Delta_p u-|\nabla
u|^q+b(x)|u|^{r-1}u=0$ defined on a complete Riemannian manifold $(M,g)$. When
$b(x)\equiv0$, a unified Cheng-Yau type estimate of the solutions to this
equation is... | http://arxiv.org/abs/2309.03510v2 |
In remote sensing imagery analysis, patch-based methods have limitations in
capturing information beyond the sliding window. This shortcoming poses a
significant challenge in processing complex and variable geo-objects, which
results in semantic inconsistency in segmentation results. To address this
challenge, we propo... | http://arxiv.org/abs/2309.15372v1 |
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