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The ability to detect slip, particularly incipient slip, enables robotic
systems to take corrective measures to prevent a grasped object from being
dropped. Therefore, slip detection can enhance the overall security of robotic
gripping. However, accurately detecting incipient slip remains a significant
challenge. In th... | http://arxiv.org/abs/2307.04011v1 |
This work presents the computational design and validation of the Multi-Arm
Relocatable Manipulator (MARM), a three-limb robot for space applications, with
particular reference to the MIRROR (i.e., the Multi-arm Installation Robot for
Readying ORUs and Reflectors) use-case scenario as proposed by the European
Space Age... | http://arxiv.org/abs/2301.09863v1 |
We propose a new multistep deep learning-based algorithm for the resolution
of moderate to high dimensional nonlinear backward stochastic differential
equations (BSDEs) and their corresponding parabolic partial differential
equations (PDE). Our algorithm relies on the iterated time discretisation of
the BSDE and approx... | http://arxiv.org/abs/2308.14487v1 |
In this paper, we prove the existence of two-dimensional solutions to the
steady Euler-Poisson system with continuous transonic transitions across sonic
interfaces of codimension 1. First, we establish the well-posedness of a
boundary value problem for a linear second order system that consists of an
elliptic-hyperboli... | http://arxiv.org/abs/2308.04694v1 |
Experimental cyclic voltammograms (CVs) measured in the slow scan rate limit
can be entirely described in terms of thermodynamic equilibrium quantities of
the electrified solid-liquid interface. They correspondingly serve as an
important benchmark for the quality of first-principles calculations of the
interfacial ther... | http://arxiv.org/abs/2308.15941v1 |
The amplification of radiation by superradiance is a universal phenomenon
observed in numerous physical systems. We demonstrate that superradiant
scattering generates entanglement for different input states, including
coherent states, thereby establishing the inherently quantum nature of this
phenomenon. To put these c... | http://arxiv.org/abs/2310.16031v3 |
Predicting the behaviour (i.e., manoeuvre/trajectory) of other road users,
including vehicles, is critical for the safe and efficient operation of
autonomous vehicles (AVs), a.k.a., automated driving systems (ADSs). Due to the
uncertain future behaviour of vehicles, multiple future behaviour modes are
often plausible f... | http://arxiv.org/abs/2303.16109v2 |
Building an accurate load forecasting model with minimal underpredictions is
vital to prevent any undesired power outages due to underproduction of
electricity. However, the power consumption patterns of the residential sector
contain fluctuations and anomalies making them challenging to predict. In this
paper, we prop... | http://arxiv.org/abs/2302.10889v1 |
We study a class of regularized proximal operators in Wasserstein-2 space. We
derive their solutions by kernel integration formulas. We obtain the
Wasserstein proximal operator using a pair of forward-backward partial
differential equations consisting of a continuity equation and a
Hamilton-Jacobi equation with a termi... | http://arxiv.org/abs/2301.10301v1 |
Colloidal particles self assemble into a wide range of structures under
external AC electric fields due to induced dipolar interactions [Yethiraj and
Van Blaaderen Nature 421 513 (2003)]. As a result of these dipolar
interactions, at low volume fraction the system is modulated between a
hard-sphere like state (in the c... | http://arxiv.org/abs/2303.09029v2 |
Matter-wave jets are ejected from a Bose-Einstein condensate subjected to a
modulation of the interaction strength. For sufficiently strong modulation
additional higher harmonic matter-wave jets emerge. Here we report the first
experimental observation of incommensurable "golden" $\frac{1+\sqrt{5}}{2}$
matter-wave jets... | http://arxiv.org/abs/2303.07004v4 |
Knowledge tracing consists in predicting the performance of some students on
new questions given their performance on previous questions, and can be a prior
step to optimizing assessment and learning. Deep knowledge tracing (DKT) is a
competitive model for knowledge tracing relying on recurrent neural networks,
even if... | http://arxiv.org/abs/2309.12334v3 |
Self-attention mechanisms have enabled transformers to achieve
superhuman-level performance on many speech-to-text (STT) tasks, yet the
challenge of automatic prosodic segmentation has remained unsolved. In this
paper we finetune Whisper, a pretrained STT model, to annotate intonation unit
(IU) boundaries by repurposin... | http://arxiv.org/abs/2302.01984v1 |
Vital sign (breathing and heartbeat) monitoring is essential for patient care
and sleep disease prevention. Most current solutions are based on wearable
sensors or cameras; however, the former could affect sleep quality, while the
latter often present privacy concerns. To address these shortcomings, we
propose Wital, a... | http://arxiv.org/abs/2305.14490v1 |
In this paper, we investigate a nonlocal equation involving the logarithmic
Laplacian with indefinite nonlinearities: \begin{equation*} \left\{
\begin{array}{ll} L_\Delta u(x)=a(x_n)f(u), & x\in\Omega, \\ u(x)=0,& x\in
\mathbb{R}^n\backslash\Omega. \end{array} \right. \end{equation*} Here,
$\Omega$ represents a Lipschi... | http://arxiv.org/abs/2310.10440v1 |
Mixture-of-experts (MoE) architecture has been proven a powerful method for
diverse tasks in training deep models in many applications. However, current
MoE implementations are task agnostic, treating all tokens from different tasks
in the same manner. In this work, we instead design a novel method that
incorporates ta... | http://arxiv.org/abs/2308.15772v3 |
We present a new event generator for the simulation of both neutral- and
charged-current deep inelastic scattering (DIS) at next-to-leading order in QCD
matched to parton showers using the POWHEG method. Our implementation builds on
the existing POWHEG BOX framework originally designed for hadron-hadron
collisions, sup... | http://arxiv.org/abs/2309.02127v2 |
Generative AI systems produce a range of risks. To ensure the safety of
generative AI systems, these risks must be evaluated. In this paper, we make
two main contributions toward establishing such evaluations. First, we propose
a three-layered framework that takes a structured, sociotechnical approach to
evaluating the... | http://arxiv.org/abs/2310.11986v2 |
Traditional reconstruction-based methods have struggled to achieve
competitive performance in anomaly detection. In this paper, we introduce
Denoising Diffusion Anomaly Detection (DDAD), a novel denoising process for
image reconstruction conditioned on a target image. This ensures a coherent
restoration that closely re... | http://arxiv.org/abs/2305.15956v2 |
We introduce a new approach to the the asymptotic iteration method (AIM) by
means of which we establish the standard AIM connection with the continued
fractions technique and we develop a novel termination condition in terms of
the approximants. With the help of this alternative termination condition and
certain proper... | http://arxiv.org/abs/2303.03262v1 |
E-commerce pre-sales dialogue aims to understand and elicit user needs and
preferences for the items they are seeking so as to provide appropriate
recommendations. Conversational recommender systems (CRSs) learn user
representation and provide accurate recommendations based on dialogue context,
but rely on external kno... | http://arxiv.org/abs/2310.14626v1 |
We show how randomized rounding based on Grothendieck's identity can be used
to prove a nearly tight bound on the covariance loss--the amount of covariance
that is lost by taking conditional expectation. This result yields a new type
of weak Szemeredi regularity lemma for positive semidefinite matrices and
kernels. Mor... | http://arxiv.org/abs/2301.02705v1 |
A 1-removed subgraph $G_f$ of a graph $G=(V,E)$ is obtained by
$(i)$ selecting at most one edge $f(v)$ for each vertex $v\in V$, such that
$v\in f(v)\in E$ (the mapping $f:V\to E \cup \{\varnothing\}$ is allowed to be
non-injective), and
$(ii)$ deleting all the selected edges $f(v)$ from the edge set $E$ of $G$.
... | http://arxiv.org/abs/2305.01923v1 |
This paper is a computational bifurcation analysis of a non-linear partial
differential equation (PDE) characterizing equilibrium configurations in Micro
electromechanical Systems (MEMS). MEMS are engineering systems that utilize
electrostatic forces to actuate elastic surfaces. The potential equilibrium
states of MEMS... | http://arxiv.org/abs/2307.08818v3 |
Synthesis and reconstruction of 3D human head has gained increasing interests
in computer vision and computer graphics recently. Existing state-of-the-art 3D
generative adversarial networks (GANs) for 3D human head synthesis are either
limited to near-frontal views or hard to preserve 3D consistency in large view
angle... | http://arxiv.org/abs/2303.13071v1 |
In this work we study the interaction strength among a neutral scalar boson
and two massless vector bosons in presence of an external magnetic field. Based
on global symmetries, we build the general tensor structure amplitude
$\mathcal{M}^{\mu\nu}$, for the process $V^\mu+V^\nu\longrightarrow\phi$, in
terms of the vect... | http://arxiv.org/abs/2305.17199v1 |
We explore the magnetohydrodynamics of Dirac fermions in neutral graphene in
the Corbino geometry. Based on the fully consistent hydrodynamic description
derived from a microscopic framework and taking into account all peculiarities
of graphene-specific hydrodynamics, we report the results of a comprehensive
study of t... | http://arxiv.org/abs/2301.12516v2 |
We prove that, given $\alpha>0$, if $M$ is a complete Riemannian manifold
which Ricci curvature
satisfies.\[\operatorname*{Ric}\nolimits_{x}(v)\geq\alpha\operatorname{sech}^{2}
(r(x)))\] or \[ \operatorname*{Ric}\nolimits_{x}(v)\geq-\frac{{h_{\alpha}}
(r(x))}{r(x)^{2}}, \] where \[ {h_{\alpha}}(r) =
\frac{\alpha(\alpha... | http://arxiv.org/abs/2310.12257v2 |
The emergence of new communication technologies allows us to expand our
understanding of distributed control and consider collaborative decision-making
paradigms. With collaborative algorithms, certain local decision-making
entities (or agents) are enabled to communicate and collaborate on their
actions with one anothe... | http://arxiv.org/abs/2308.08045v1 |
Dynamic population gratings (DPGs) in rare-earth doped fibers are prevalent
devices in fiber lasers for the production of single-longitudinal-mode
emission, Q-switched pulses, and wavelength self-sweeping regimes. This study
presents a transition from Q-switched state to continuous wave (CW) state,
accompanying irregul... | http://arxiv.org/abs/2302.12046v1 |
We will prove a general approximate quantization rule $%
\int_{L_{E}}^{R_{E}}k_0$ $dx=(N+\frac{1}{2})\pi $ for the bound states in the
potential well of the equations $e^{-i\pi n/2}\nabla_x ^{^{n}}\Psi =[E-\Delta
(x)]\Psi ,$ where $k_0=(E-\Delta )^{1/n}$ with $N\in\mathbb{N}_{0} $, $n$ is an
even natural number, and $L... | http://arxiv.org/abs/2304.00914v2 |
Lensless imaging protects visual privacy by capturing heavily blurred images
that are imperceptible for humans to recognize the subject but contain enough
information for machines to infer information. Unfortunately, protecting visual
privacy comes with a reduction in recognition accuracy and vice versa. We
propose a l... | http://arxiv.org/abs/2302.02255v1 |
As we look to the next generation of adaptive optics systems, now is the time
to develop and explore the technologies that will allow us to image rocky
Earth-like planets; wavefront control algorithms are not only a crucial
component of these systems, but can benefit our adaptive optics systems without
requiring increa... | http://arxiv.org/abs/2309.00730v1 |
Topological signals are dynamical variables not only defined on nodes but
also on links of a network that are gaining significant attention in non-linear
dynamics and topology and have important applications in brain dynamics. Here
we show that topological signals on nodes and links of a network can generate
dynamical ... | http://arxiv.org/abs/2310.15538v1 |
Multilayer network is a potent platform which paves a way to study the
interactions among entities in various networks with multiple types of
relationships. In this study, the dynamics of discrete-time quantum walk on a
multilayer network are explored in detail. We derive recurrence formulae for
the coefficients of the... | http://arxiv.org/abs/2310.02722v1 |
Being one of the most fundamental physical parameter of astronomical objects,
mass plays a vital role in the study of exoplanets, including their temperature
structure, chemical composition, formation, and evolution. However, nearly a
quarter of the known confirmed exoplanets lack measurements of their masses.
This is ... | http://arxiv.org/abs/2303.12409v1 |
In recent years, as the use of micromobility gained popularity, technological
challenges connected to e-scooters became increasingly important. This paper
focuses on road surface recognition, an important task in this area. A reliable
and accurate method for road surface recognition can help improve the safety
and stab... | http://arxiv.org/abs/2302.12720v1 |
Mean residual lifetime is an important measure utilized in various fields,
including pharmaceutical companies, manufacturing companies, and insurance
companies for survival analysis. However, the computation of mean residual
lifetime can be laborious and challenging. To address this issue, the R package
reslife has bee... | http://arxiv.org/abs/2308.07410v3 |
Recently, deep multi-agent reinforcement learning (MARL) has gained
significant popularity due to its success in various cooperative multi-agent
tasks. However, exploration still remains a challenging problem in MARL due to
the partial observability of the agents and the exploration space that can grow
exponentially as... | http://arxiv.org/abs/2308.11272v2 |
Transmission spectroscopy supports the presence of uncharacterised,
light-scattering and -absorbing aerosols in the atmospheres of many exoplanets.
The complexity of factors influencing the formation, 3-D transport, radiative
impact, and removal of aerosols makes it challenging to match theoretical
models to the existi... | http://arxiv.org/abs/2307.10931v2 |
We study vector-tensor theories in which a 4-dimensional vector field
$A_{\mu}$ is coupled to a vector quantity ${\cal J}^{\mu}$, which is expressed
in terms of $A_{\mu}$ and a metric tensor $g_{\mu \nu}$. The divergence of
${\cal J}^{\mu}$ is equivalent to a Gauss-Bonnet (GB) term. We show that an
interacting Lagrangi... | http://arxiv.org/abs/2303.13717v2 |
Drivers have a responsibility to exercise reasonable care to avoid collision
with other road users. This assumed responsibility allows interacting agents to
maintain safety without explicit coordination. Thus to enable safe autonomous
vehicle (AV) interactions, AVs must understand what their responsibilities are
to mai... | http://arxiv.org/abs/2303.03504v1 |
We present a space-time virtual element method for the discretization of the
heat equation, which is defined on general prismatic meshes and variable
degrees of accuracy. Strategies to handle efficiently the space-time mesh
structure are discussed. We perform convergence tests for the $h$- and
$hp$-versions of the meth... | http://arxiv.org/abs/2306.09191v3 |
We propose a novel data augmentation approach, DistractFlow, for training
optical flow estimation models by introducing realistic distractions to the
input frames. Based on a mixing ratio, we combine one of the frames in the pair
with a distractor image depicting a similar domain, which allows for inducing
visual pertu... | http://arxiv.org/abs/2303.14078v1 |
A Skyrme-type effective potential is determined to describe the interaction
between $\Lambda$ hyperons in nuclear medium. Experimental data of the binding
energies of the double-$\Lambda$ ($\Lambda\Lambda$) nuclei with mass numbers
$A=10$--$13$ are used to fit the parameters of the $\Lambda\Lambda$
interaction. As a re... | http://arxiv.org/abs/2309.01348v1 |
In this article, we study Galois points of plane curves and the extension of
the corresponding Galois group to $\mathrm{Bir}(\mathbb{P}^2)$. If the Galois
group has order at most $3$, we prove that it always extends to a subgroup of
the Jonqui\`eres group associated to the point $P$. In degree at least $4$, we
prove th... | http://arxiv.org/abs/2302.00324v1 |
We introduce Banach algebras associated to a twisted \'etale groupoid
$(\mathcal{G},\mathcal{L})$ and to twisted inverse semigroup actions. This
provides a unifying framework for numerous recent papers on $L^p$-operator
algebras and the theory of groupoid $C^*$-algebras. We prove a disintegration
theorem that allows us... | http://arxiv.org/abs/2303.09997v3 |
Quantum simulation is known to be capable of simulating certain dynamical
systems in continuous time -- Schrodinger's equations being the most direct and
well-known -- more efficiently than classical simulation. Any linear dynamical
system can in fact be transformed into a system of Schrodinger's equations via
a method... | http://arxiv.org/abs/2304.02865v1 |
Modern deep learning techniques have illustrated their excellent capabilities
in many areas, but relies on large training data. Optimization-based
meta-learning train a model on a variety tasks, such that it can solve new
learning tasks using only a small number of training samples.However, these
methods assumes that t... | http://arxiv.org/abs/2301.11779v2 |
ODTLearn is an open-source Python package that provides methods for learning
optimal decision trees for high-stakes predictive and prescriptive tasks based
on the mixed-integer optimization (MIO) framework proposed in Aghaei et al.
(2019) and several of its extensions. The current version of the package
provides implem... | http://arxiv.org/abs/2307.15691v2 |
We study the logarithmic vector bundles associated to arrangements of smooth
irreducible curves with small degree on the blow-up of the projective plane at
one point. We then investigate whether they are Torelli arrangements, that is,
they can be recovered from the attached logarithmic vector bundles. | http://arxiv.org/abs/2302.08778v2 |
We construct non-compact contact manifolds containing compact Legendrians
which can be displaced from their Reeb flow with arbitrarily small oscillation
energy. We use this to show the Shelukhin-Chekanov-Hofer pseudo-metric
considered by Rosen and Zhang is degenerate on the isotopy class of the
constructed Legendrians.... | http://arxiv.org/abs/2301.06205v1 |
In this work we study one of the most appealing string theory-motivated
models, we present a tachyonic inflationary model in the recently proposed
symmetric teleparallel framework, and examine constraints on tachyon inflation
with the exponential potential along with the reheating for a chosen $f(Q)$
gravity model. Con... | http://arxiv.org/abs/2302.11229v2 |
Firstly, the proposed solution provides remotely accessible integrated IoT
resources for the safety and security of the building. By using Sha ort
Messaging System (SMS), the age is sent to the user by the Global System for
Mobile (GSM) system. An SMS alert is sent to the user in case any sensor
detects an abnormality ... | http://arxiv.org/abs/2309.02899v1 |
Black hole X-ray binary systems (BHBs) contain a close companion star
accreting onto a stellar-mass black hole. A typical BHB undergoes transient
outbursts during which it exhibits a sequence of long-lived spectral states,
each of which is relatively stable. GRS 1915+105 is a unique BHB that exhibits
an unequaled numbe... | http://arxiv.org/abs/2301.10467v2 |
We propose a new dataset distillation algorithm using reparameterization and
convexification of implicit gradients (RCIG), that substantially improves the
state-of-the-art. To this end, we first formulate dataset distillation as a
bi-level optimization problem. Then, we show how implicit gradients can be
effectively us... | http://arxiv.org/abs/2302.06755v2 |
This paper is aimed to study the KP-BBM equation, which was proposed by Abdul
Majid Wazwaz in 2005. To check its integrability Painleve test has been
performed. Lie Symmetry analysis has been done and point symmetry generators
are obtained. The invariants of the Lie algebra are found and the
one-dimensional optimal sys... | http://arxiv.org/abs/2304.13968v1 |
Intelligent reflecting surface (IRS) can bring significant performance
enhancement for wireless communication systems by reconfiguring wireless
channels via passive signal reflection. However, such performance improvement
generally relies on the knowledge of channel state information (CSI) for
IRS-associated links. Pri... | http://arxiv.org/abs/2310.11038v1 |
Consider the Boltzmann equation in the perturbation regime. Since the
macroscopic quantities in the background global Maxwellian are obtained through
measurements, there are typically some errors involved. This paper investigates
the effect of background variations on the solution for a given initial
perturbation. Our ... | http://arxiv.org/abs/2307.15849v1 |
Human object interaction (HOI) detection plays a crucial role in
human-centric scene understanding and serves as a fundamental building-block
for many vision tasks. One generalizable and scalable strategy for HOI
detection is to use weak supervision, learning from image-level annotations
only. This is inherently challe... | http://arxiv.org/abs/2303.01313v1 |
We propose a novel approach to learning the generative neural fields
represented by linear combinations of implicit basis networks. Our algorithm
learns basis networks in the form of implicit neural representations and their
coefficients in a latent space by either conducting meta-learning or adopting
auto-decoding par... | http://arxiv.org/abs/2310.19464v1 |
We present Context Aware Fidelity Estimation (CAFE), a framework for
benchmarking quantum operations that offers several practical advantages over
existing methods such as Randomized Benchmarking (RB) and Cross-Entropy
Benchmarking (XEB). In CAFE, a gate or a subcircuit from some target experiment
is repeated n times b... | http://arxiv.org/abs/2303.17565v1 |
The performance of various superconducting devices operating at ultra-low
temperatures is impaired by the presence of non-equilibrium quasiparticles.
Inelastic quasiparticle (QP) tunneling across Josephson junctions in
superconducting qubits results in decoherence and spurious excitations and,
notably, can trigger corr... | http://arxiv.org/abs/2309.02655v3 |
In this paper, we study the linear space of all two-sided generalized
Fibonacci sequences $\{F_n\}_{n \in \mathbb{Z}}$ that satisfy the recurrence
equation of order $k$: $F_n = F_{n-1} + F_{n-2} + \dots + F_{n-k}$. We give two
types of explicit formula, one is based on generalized binomial coefficients
and the other ba... | http://arxiv.org/abs/2304.02871v1 |
The most efficient approach to laser interferometric force sensing to date
uses monochromatic carrier light with its signal sideband spectrum in a
squeezed vacuum state. Quantum decoherence, i.e. mixing with an ordinary vacuum
state due to optical losses, is the main sensitivity limit. In this work, we
present both the... | http://arxiv.org/abs/2303.09983v2 |
Theoretical and applied studies of quantum walks are abundant in quantum
science and technology thanks to their relative simplicity and versatility.
Here we derive closed-form expressions for the probability distribution of
quantum walks on a line. The most general two-state coin operator and the most
general (pure) in... | http://arxiv.org/abs/2308.05213v1 |
Examples of dynamical systems proposed by Z. Artstein and C. M. Dafermos
admit non-unique solutions that track a one parameter family of closed circular
orbits contiguous at a single point. Switching between orbits at this single
point produces an infinite number of solutions with the same initial data.
Dafermos appeal... | http://arxiv.org/abs/2301.09122v2 |
Let $\{S_n,n\geq 0\} $ be a random walk whose increments belong without
centering to the domain of attraction of an $\alpha$-stable law $\{Y_t,t\geq
0\}$, i.e. $S_{nt}/a_n\Rightarrow Y_t,t\geq 0,$ for some scaling constants
$a_n$. Assuming that $S_0=o(a_{n})$ and $S_n\leq \varphi (n)=o(a_n),$ we prove
several condition... | http://arxiv.org/abs/2303.07776v1 |
Consider a random $n\times m$ matrix $A$ over the finite field of order $q$
where every column has precisely $k$ nonzero elements, and let $M[A]$ be the
matroid represented by $A$. In the case that q=2, Cooper, Frieze and Pegden
(RS\&A 2019) proved that given a fixed binary matroid $N$, if $k\ge k_N$ and
$m/n\ge d_N$ w... | http://arxiv.org/abs/2307.15685v2 |
HD 139139 (a.k.a. 'The Random Transiter') is a star that exhibited enigmatic
transit-like features with no apparent periodicity in K2 data. The shallow
depth of the events ($\sim$200 ppm -- equivalent to transiting objects with
radii of $\sim$1.5 R$_\oplus$ in front of a Sun-like star), and their
non-periodicity, const... | http://arxiv.org/abs/2310.10332v2 |
This study explores an interesting pattern emerging from research that
combines artificial intelligence with sound symbolism. In these studies,
supervised machine learning algorithms are trained to classify samples based on
the sounds of referent names. Machine learning algorithms are efficient
learners of sound symbol... | http://arxiv.org/abs/2301.06211v1 |
Aircraft maintenance, repair and overhaul industry is gradually switching to
3D scanning for dent inspection. High-accuracy devices allow quick and
repeatable measurements, which translate into efficient reporting and more
objective damage evaluations. However, the potential of 3D scanners is far from
being exploited. ... | http://arxiv.org/abs/2301.10473v2 |
We prove that on the twisted cotangent bundle of a closed manifold with an
exact magnetic form, a Hamiltonian system of a time-dependent Tonelli
Hamiltonian function possesses infinitely many brake orbits. More precisely, by
applying Legendre transform we show that there are infinitely many symmetric
orbits of the dual... | http://arxiv.org/abs/2302.09472v1 |
A novel quantum algorithm for solving the Boltzmann-Maxwell equations of the
6D collisionless plasma is proposed. The equation describes the kinetic
behavior of plasma particles in electromagnetic fields and is known for the
classical first-principles equations in various domains, from space to
laboratory plasmas. We h... | http://arxiv.org/abs/2306.05967v1 |
Robotic learning for navigation in unfamiliar environments needs to provide
policies for both task-oriented navigation (i.e., reaching a goal that the
robot has located), and task-agnostic exploration (i.e., searching for a goal
in a novel setting). Typically, these roles are handled by separate models, for
example by ... | http://arxiv.org/abs/2310.07896v1 |
Real-world applications of computational fluid dynamics often involve the
evaluation of quantities of interest for several distinct geometries that
define the computational domain or are embedded inside it. For example, design
optimization studies require the realization of response surfaces from the
parameters that de... | http://arxiv.org/abs/2308.03662v1 |
Grokking is one of the most surprising puzzles in neural network
generalization: a network first reaches a memorization solution with perfect
training accuracy and poor generalization, but with further training, it
reaches a perfectly generalized solution. We aim to analyze the mechanism of
grokking from the lottery ti... | http://arxiv.org/abs/2310.19470v2 |
The analysis of nonlinear dynamics is an important issue in numerous fields
of science. In this study, we propose a new method to analyze the time series
data using persistent homology (PH). The key idea is the application of PH to
the distance matrix. Using this method, we can obtain the topological features
embedded ... | http://arxiv.org/abs/2301.03369v1 |
Support vector machines (SVMs) are a well-established classifier effectively
deployed in an array of pattern recognition and classification tasks. In this
work, we consider extending classic SVMs with quantum kernels and applying them
to satellite data analysis. The design and implementation of SVMs with quantum
kernel... | http://arxiv.org/abs/2307.07281v1 |
We rewrite the worldsheet torus partition function of the Thermal AdS CFT by
isolating the boundary parameters. Using this, we show that the spectrum of the
Euclidean BTZ black hole and Lorentzian AdS3 can be extracted -- the latter as
a zero temperature limit. A similar procedure recovers the Lorentzian BTZ
spectrum p... | http://arxiv.org/abs/2303.15372v2 |
Data center schedulers operate at unprecedented scales today to accommodate
the growing demand for computing and storage power. The challenge that
schedulers face is meeting the requirements of scheduling speeds despite the
scale. To do so, most scheduler architectures use parallelism. However, these
architectures cons... | http://arxiv.org/abs/2308.10178v1 |
In this paper, we study a system of PDEs describing the motion of two
compressible viscous fluids occupying the whole space $\mathbb R^d\;(d\in
\{2,3\}$). The two phases of the mixture are separated by a
$\mathscr{C}^{1+\alpha}$-regular sharp interface $\mathcal{C}$ across which the
density can experience jumps. We pro... | http://arxiv.org/abs/2310.12525v3 |
Robots have been successfully used to perform tasks with high precision. In
real-world environments with sparse rewards and multiple goals, learning is
still a major challenge and Reinforcement Learning (RL) algorithms fail to
learn good policies. Training in simulation environments and then fine-tuning
in the real wor... | http://arxiv.org/abs/2308.08737v1 |
Let $M$ be a $n\times m$ $(0,1)$-matrix. We define the $s$-binary rank,
$br_s(M)$, of $M$ to be the minimal integer $d$ such that there are $d$
monochromatic rectangles that cover all the $1$-entries in the matrix, and each
$1$-entry is covered by at most $s$ rectangles. When $s=1$, this is the binary
rank,~$br(M)$, kn... | http://arxiv.org/abs/2301.04406v1 |
Performance analysis of microservices can be a challenging task, as a typical
request to these systems involves multiple Remote Procedure Calls (RPC)
spanning across independent services and machines. Practitioners primarily rely
on distributed tracing tools to closely monitor microservices performance.
These tools ena... | http://arxiv.org/abs/2302.12734v1 |
Nature and our world have a bias! Roughly $30\%$ of the time the number $1$
occurs as the leading digit in many datasets base $10$. This phenomenon is
known as Benford's law and it arrises in diverse fields such as the stock
market, optimizing computers, street addresses, Fibonacci numbers, and is often
used to detect ... | http://arxiv.org/abs/2308.07404v1 |
Cybersecurity planning is challenging for digitized companies that want
adequate protection without overspending money. Currently, the lack of
investments and perverse economic incentives are the root cause of
cyberattacks, which results in several economic impacts on companies worldwide.
Therefore, cybersecurity plann... | http://arxiv.org/abs/2304.07909v1 |
We argue that the celestial conformal field theory exhibits patterns of a
logarithmic conformal field theory. We uncover a Jordan block structure
involving the celestial stress tensor and its logarithmic partner, a composite
operator built from the stress tensor and the Liouville field. Using a limiting
process whose p... | http://arxiv.org/abs/2305.08913v2 |
Estimating the expected value of a graph statistic is an important inference
task for using and learning graph models. This note presents a scalable
estimation procedure for expected motif counts, a widely used type of graph
statistic. The procedure applies for generative mixture models of the type used
in neural and B... | http://arxiv.org/abs/2305.01089v1 |
Lateral distribution functions of particles in extensive air showers with the
energy $E_0 \simeq 10^{19}$ eV recorded by ground-based and underground
scintillation detectors with a threshold of $E_{\mu} \simeq 1.0 \times
\sec\theta$ GeV at the Yakutsk array during the continuous observations from
1986 to 2016 have been... | http://arxiv.org/abs/2304.09924v1 |
The smoothed particle hydrodynamic technique is strongly based on the proper
choice of interpolation functions. This statement is particularly relevant for
the study of subsonic fluxes and turbulence, where inherent small errors in the
averaging procedures introduce excessive damping on the smallest scales. To
mitigate... | http://arxiv.org/abs/2307.10925v2 |
Hateful meme classification is a challenging multimodal task that requires
complex reasoning and contextual background knowledge. Ideally, we could
leverage an explicit external knowledge base to supplement contextual and
cultural information in hateful memes. However, there is no known explicit
external knowledge base... | http://arxiv.org/abs/2302.04156v1 |
Background: An accurate way to incorporate long range Coulomb interaction
alongside short-range nuclear interaction has been a challenge for theoretical
physicists. Purpose: In this paper, we propose a methodology based on the
reference potential approach for constructing inverse potentials of alpha-alpha
scattering. M... | http://arxiv.org/abs/2308.11266v1 |
So-called implicit behavioral cloning with energy-based models has shown
promising results in robotic manipulation tasks. We tested if the method's
advantages carry on to controlling the steering of a real self-driving car with
an end-to-end driving model. We performed an extensive comparison of the
implicit behavioral... | http://arxiv.org/abs/2301.12264v1 |
In this paper, we give a construction of doubly even self-orthogonal codes
from quasi-symmetric designs. Further, we study orbit matrices of
quasi-symmetric designs and give a construction of doubly even self-orthogonal
codes from orbit matrices of quasi-symmetric designs of Blokhuis-Haemers type. | http://arxiv.org/abs/2308.01075v1 |
We introduce a novel Natural Language Processing (NLP) task called Guilt
detection, which focuses on detecting guilt in text. We identify guilt as a
complex and vital emotion that has not been previously studied in NLP, and we
aim to provide a more fine-grained analysis of it. To address the lack of
publicly available ... | http://arxiv.org/abs/2303.03510v1 |
Sensors based on spin qubits in 2D crystals offer the prospect of nanoscale
sensing volumes, where the close proximity of the sensor and source could
provide access to otherwise inaccessible signals. For AC magnetometry, the
sensitivity and frequency range is typically limited by the noise spectrum,
which determines th... | http://arxiv.org/abs/2306.09185v1 |
Human evaluation is indispensable and inevitable for assessing the quality of
texts generated by machine learning models or written by humans. However, human
evaluation is very difficult to reproduce and its quality is notoriously
unstable, hindering fair comparisons among different natural language
processing (NLP) mo... | http://arxiv.org/abs/2305.01937v1 |
Our main theorem is that the word problem in the Artin group G = <a,b,c |
aba=bab, ac=ca, {}_{n}(b,c) = {}_{n}(c,b) > for n >= 5 can be solved using a
system R of length preserving rewrite rules that, together with free reduction,
can be used to reduce any word over {a,b,c} to a geodesic word in $G$, in
quadratic time.... | http://arxiv.org/abs/2310.14632v2 |
Retrieval augmented methods have shown promising results in various
classification tasks. However, existing methods focus on retrieving extra
context to enrich the input, which is noise sensitive and non-expandable. In
this paper, following this line, we propose a $k$-nearest-neighbor (KNN) -based
method for retrieval ... | http://arxiv.org/abs/2303.13065v2 |
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