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We obtain an optimal actuation waveform for fast synchronization of periodic
airfoil wakes through the phase reduction approach. Using the phase reduction
approach for periodic wake flows, the spatial sensitivity fields with respect
to the phase of the vortex shedding are obtained. The phase sensitivity fields
can unco... | http://arxiv.org/abs/2306.11864v3 |
Session-based recommendation (SBR) problem, which focuses on next-item
prediction for anonymous users, has received increasingly more attention from
researchers. Existing graph-based SBR methods all lack the ability to
differentiate between sessions with the same last item, and suffer from severe
popularity bias. Inspi... | http://arxiv.org/abs/2302.03997v1 |
Dynamic traffic assignment and vehicle route guidance have been important
problems in ITS for some time. This paper proposes a new model for VRGS, which
takes into consideration of the information propagation, user selection and
information reaction. Parameter p is then defined as the updating weight for
computing cost... | http://arxiv.org/abs/2305.08865v2 |
We study a class of nonconvex nonsmooth optimization problems in which the
objective is a sum of two functions: One function is the average of a large
number of differentiable functions, while the other function is proper, lower
semicontinuous and has a surrogate function that satisfies standard
assumptions. Such probl... | http://arxiv.org/abs/2305.06848v1 |
We propose a general exact method of calculating dynamical correlation
functions in dual symplectic brick-wall circuits in one dimension. These are
deterministic classical many-body dynamical systems which can be interpreted in
terms of symplectic dynamics in two orthogonal (time and space) directions. In
close analogy... | http://arxiv.org/abs/2307.01786v2 |
Weakly-supervised change detection (WSCD) aims to detect pixel-level changes
with only image-level annotations. Owing to its label efficiency, WSCD is
drawing increasing attention recently. However, current WSCD methods often
encounter the challenge of change missing and fabricating, i.e., the
inconsistency between ima... | http://arxiv.org/abs/2307.10853v4 |
In this paper, we give a sufficient and necessary condition for a regular
element of a quantum cluster algebra $\mathcal{O}_q(\mathcal{X})$ to be
universally polynomial. This resolves several conjectures by the first author
on the polynomiality of the cluster realization of quantum group generators in
different familie... | http://arxiv.org/abs/2302.04020v1 |
The Kunneth trick is a formula for the top cohomology of the derived tensor
product of two complexes of modules over a ring.
In this note we present two improvements of this formula. The first improved
Kunneth trick is a formula for the top cohomology of the plain tensor product
of two DG modules over a nonpositive D... | http://arxiv.org/abs/2308.01103v1 |
$F$-polynomials are integer coefficient polynomials encoding the mutations of
cluster variables inside a cluster algebra. In this article, we study the
$F$-polynomials associated with the action of Donaldson-Thomas transformations
on cluster variables. For acyclic quivers, quivers of surface types, and
quivers associat... | http://arxiv.org/abs/2303.03466v1 |
Metallicity is a fundamental physical property that strongly constrains
galaxy formation and evolution. The formation of stars in galaxies is
suppressed by the energy released from supernova explosions and can be enhanced
by metal production. In order to understand the impact of this supernova
feedback, we compare four... | http://arxiv.org/abs/2307.11595v2 |
We present the confirmation of SDSS J222551.65+001637.7AB as a closely
separated, resolved, white dwarf-brown dwarf binary. We have obtained
spectroscopy from GNIRS and seeing-limited $K_s$-band imaging from NIRI on
Gemini North. The target is spatially resolved into its constituent components:
a 10926$ \pm$ 246 K whit... | http://arxiv.org/abs/2301.02101v1 |
High-energy vector meson photoproduction is an important tool for studying
the partonic structure of matter at low Bjorken$-x$. In the Good-Walker (GW)
paradigm, the cross-section $d\sigma/dt$ for coherent production of vector
mesons or other final states, depends the average transverse distribution of
gluons, while th... | http://arxiv.org/abs/2301.01408v1 |
Ontologies are traditionally expressed in the Web Ontology Language (OWL),
that provides a syntax for expressing taxonomies with axioms regulating class
membership. The semantics of OWL, based on Description Logic (DL), allows for
the use of automated reasoning to check the consistency of ontologies, perform
classifica... | http://arxiv.org/abs/2309.02723v1 |
Astigmatic Defocus Sensor is a very simple and easy technique for measuring
the amount of defocus (deviation from the focal plane) present in an optical
beam. The approach uses a cylindrical lens to focus the beam and the measure of
the intensity at the focal plane is used to find out the amount of defocus
present in t... | http://arxiv.org/abs/2301.09054v1 |
In practical massive multiple-input multiple-output (MIMO) systems, the
precoding matrix is often obtained from the eigenvectors of channel matrices
and is challenging to update in time due to finite computation resources at the
base station, especially in mobile scenarios. In order to reduce the precoding
complexity w... | http://arxiv.org/abs/2308.12619v2 |
We analyze the accuracy and sample complexity of variational Monte Carlo
approaches to simulate the dynamics of many-body quantum systems classically.
By systematically studying the relevant stochastic estimators, we are able to:
(i) prove that the most used scheme, the time-dependent Variational Monte Carlo
(tVMC), is... | http://arxiv.org/abs/2305.14294v3 |
The theory for electron transport in simple liquids developed by Cohen and
Lekner is extended to simple liquid mixtures. The focus is on developing
benchmark models for binary mixtures of hard-spheres, using the Percus-Yevick
model to represent the density structure effects. A multi-term solution of the
Boltzmann equat... | http://arxiv.org/abs/2310.06426v1 |
We study conformational properties of diluted dumbbell polymers which consist
of two rings that are attached to both ends of a linear spacer segment by using
analytical methods of field theory and bead-spring coarse-grained molecular
dynamics simulations. We investigate the influence of the relative length of
the space... | http://arxiv.org/abs/2303.11062v2 |
Recently DRAM-based PIMs (processing-in-memories) with unmodified cell arrays
have demonstrated impressive performance for accelerating AI applications.
However, due to the very restrictive hardware constraints, PIM remains an
accelerator for simple functions only. In this paper we propose NTT-PIM, which
is based on th... | http://arxiv.org/abs/2310.09715v1 |
This is an extended abstract for a survey talk given in Oberwolfach on 1st
December 2022, slightly updated in June 2023. I survey some work around the
notion of quasiminimality and some of the progress towards Zilber's conjecture
from the last 25 years. | http://arxiv.org/abs/2306.05811v1 |
In this paper we obtained several properties that the characteristic
polynomials of the unit-primitive matrix satisfy. In addition, using these
properties we have shown that the recurrence relation given as in the formula
(1) is true. In fact, Xin and Zhong([4]) showed it earlier. However, we provide
simpler method her... | http://arxiv.org/abs/2305.03930v1 |
We address the challenge of building domain-specific knowledge models for
industrial use cases, where labelled data and taxonomic information is
initially scarce. Our focus is on inductive link prediction models as a basis
for practical tools that support knowledge engineers with exploring text
collections and discover... | http://arxiv.org/abs/2301.00716v1 |
Correlated proportions appear in many real-world applications and present a
unique challenge in terms of finding an appropriate probabilistic model due to
their constrained nature. The bivariate beta is a natural extension of the
well-known beta distribution to the space of correlated quantities on $[0,
1]^2$. Its cons... | http://arxiv.org/abs/2303.01271v1 |
We report on the transport of ultracold cesium and rubidium atoms over
$37.2\,$cm in under $25\,$ms using an optical conveyor belt formed by two
counter-propagating beams with a controllable frequency difference that
generate a movable optical lattice. By carefully selecting the waists and focus
positions, we are able ... | http://arxiv.org/abs/2307.13382v1 |
Solutions of the target-rapidity Balitsky-Kovchegov (BK) equation are studied
considering, for the first time, the complete impact-parameter dependence,
including the orientation of the dipole with respect to the impact-parameter
vector. In our previous work, it has been demonstrated that the spurious
Coulomb tails cou... | http://arxiv.org/abs/2309.02910v2 |
We propose a novel zero-shot approach to computing correspondences between 3D
shapes. Existing approaches mainly focus on isometric and near-isometric shape
pairs (e.g., human vs. human), but less attention has been given to strongly
non-isometric and inter-class shape matching (e.g., human vs. cow). To this
end, we in... | http://arxiv.org/abs/2306.03253v2 |
We establish an averaging principle on the real semi-axis for semi-linear
equation \begin{equation}\label{eqAb1} x'=\varepsilon (\mathcal A
x+f(t)+F(t,x))\nonumber \end{equation} with unbounded closed linear operator
$\mathcal A$ and asymptotically Poisson stable (in particular, asymptotically
stationary, asymptoticall... | http://arxiv.org/abs/2308.14283v1 |
Returns distributions are heavy-tailed across asset classes. In this note, I
examine the implications of this well-known stylized fact for the joint
statistics of performance (absolute return) and Sharpe ratio (risk-adjusted
return). Using both synthetic and real data, I show that, all other things
being equal, the inv... | http://arxiv.org/abs/2302.08829v2 |
As a cool star evolves, it loses mass and angular momentum due to magnetized
stellar winds which affect its rotational evolution. This change has
consequences that range from the alteration of its activity to influences over
the atmosphere of any orbiting planet. Despite their importance, observations
constraining the ... | http://arxiv.org/abs/2307.04615v1 |
In multi-turn dialogue generation, responses are not only related to the
topic and background of the context but also related to words and phrases in
the sentences of the context. However, currently widely used hierarchical
dialog models solely rely on context representations from the utterance-level
encoder, ignoring ... | http://arxiv.org/abs/2303.07833v1 |
Peridynamic (PD) theory is significant and promising in engineering and
materials science; however, it imposes challenges owing to the enormous
computational cost caused by its nonlocality. Our main contribution, which
overcomes the restrictions of the existing fast method, is a general
computational framework for the ... | http://arxiv.org/abs/2301.11828v1 |
In this paper, we introduce a fundamental model for independent and
identically distributed sequence with model uncertainty on the canonical space
$(\mathbb{R}^\mathbb{N},\mathcal{B}(\mathbb{R}^\mathbb{N}))$ via probability
kernels. Thanks to the well-defined upper and lower variances, we obtain a new
functional centra... | http://arxiv.org/abs/2307.12077v1 |
Large-scale pre-trained transformers have demonstrated remarkable success in
various computer vision tasks. However, it is still highly challenging to fully
fine-tune these models for downstream tasks due to their high computational and
storage costs. Recently, Parameter-Efficient Tuning (PETuning) techniques,
e.g., Vi... | http://arxiv.org/abs/2304.13639v1 |
In the Noisy Intermediate Scale Quantum (NISQ) era, finding implementations
of quantum algorithms that minimize the number of expensive and error prone
multi-qubit gates is vital to ensure computations produce meaningful outputs.
Unitary synthesis, the process of finding a quantum circuit that implements
some target un... | http://arxiv.org/abs/2306.05622v1 |
Foundation models are trained on vast amounts of data at scale using
self-supervised learning, enabling adaptation to a wide range of downstream
tasks. At test time, these models exhibit zero-shot capabilities through which
they can classify previously unseen (user-specified) categories. In this paper,
we address the p... | http://arxiv.org/abs/2310.09926v2 |
Faced with data-driven policies, individuals will manipulate their features
to obtain favorable decisions. While earlier works cast these manipulations as
undesirable gaming, recent works have adopted a more nuanced causal framing in
which manipulations can improve outcomes of interest, and setting coherent
mechanisms ... | http://arxiv.org/abs/2302.06804v2 |
Maintaining accurate provenance records is paramount in digital forensics, as
they underpin evidence credibility and integrity, addressing essential aspects
like accountability and reproducibility. Blockchains have several properties
that can address these requirements. Previous systems utilized public
blockchains, i.e... | http://arxiv.org/abs/2308.03927v1 |
We compute the complete set of two-loop master integrals for the scattering
of four massless particles and a massive one. Our results are ready for
phenomenological applications, removing a major obstacle to the computation of
complete next-to-next-to-leading order (NNLO) QCD corrections to processes such
as the produc... | http://arxiv.org/abs/2306.15431v2 |
Recent pulsar timing array (PTA) experiments have reported strong evidence of
the stochastic gravitational wave background (SGWB). If interpreted as
primordial gravitational waves (GWs), the signal favors a strongly blue-tilted
spectrum. Consequently, the nonsingular cosmology, which is able to predict a
strongly blue-... | http://arxiv.org/abs/2307.16211v2 |
In this paper, we present a new family of cross $Z$-complementary pairs
(CZCPs) based on generalized Boolean functions and two roots of unity. Our key
idea is to consider an arbitrary partition of the set $\{1,2,\cdots, n\}$ with
two subsets corresponding to two given roots of unity for which two truncated
sequences of... | http://arxiv.org/abs/2308.06687v1 |
Understanding what leads to emotions during large-scale crises is important
as it can provide groundings for expressed emotions and subsequently improve
the understanding of ongoing disasters. Recent approaches trained supervised
models to both detect emotions and explain emotion triggers (events and
appraisals) via ab... | http://arxiv.org/abs/2306.01444v1 |
Following on recent experimental characterization of the transport properties
of stealth hyperuniform media for electromagnetic and acoustic waves, we report
here measurements at ultrasonic frequencies of the multiple scattering of waves
by 2D hyperuniform distributions of steel rods immersed in water. The
transparency... | http://arxiv.org/abs/2306.16138v1 |
We demonstrate that the Weizs\"acker potential is an exact term in the
universal functional in density functional theory (DFT) for the ground state of
a system with $N$ electrons. This proof uses no approximations or physical
arguments, and follows from the form of kinetic energy of the ground state and
probability the... | http://arxiv.org/abs/2302.12871v1 |
Various supersymmetric (SUSY) scenarios predict a sub-GeV neutralino decaying
into a single photon and an invisible state. This signature has recently been
studied in a number of intensity frontier experiments, finding constraints
complementary to the usual collider searches. In this work, we study the
prospects of sea... | http://arxiv.org/abs/2306.00982v1 |
The Riemann zeta function $\zeta(s):= \sum_{n=1}^{\infty} 1/n^s$ can be
interpreted as the energy per point of the lattice $\mathbb{Z}$, interacting
pairwisely via the Riesz potential $1/r^s$. Given a parameter $\Delta\in
(0,1]$, this physical model is generalized by considering the energy per point
$E(s,\Delta)$ of a ... | http://arxiv.org/abs/2307.06002v1 |
As robots acquire increasingly sophisticated skills and see increasingly
complex and varied environments, the threat of an edge case or anomalous
failure is ever present. For example, Tesla cars have seen interesting failure
modes ranging from autopilot disengagements due to inactive traffic lights
carried by trucks to... | http://arxiv.org/abs/2305.11307v2 |
Training multimodal networks requires a vast amount of data due to their
larger parameter space compared to unimodal networks. Active learning is a
widely used technique for reducing data annotation costs by selecting only
those samples that could contribute to improving model performance. However,
current active learn... | http://arxiv.org/abs/2306.08306v2 |
Karger (STOC 1995) gave the first FPTAS for the network (un)reliability
problem, setting in motion research over the next three decades that obtained
increasingly faster running times, eventually leading to a
$\tilde{O}(n^2)$-time algorithm (Karger, STOC 2020). This represented a natural
culmination of this line of wor... | http://arxiv.org/abs/2304.06552v2 |
Studying intra-industry trade involves theoretical explanations and empirical
methods to measure the phenomenon. Indicators have been developed to measure
the intensity of intra-industry trade, leading to theoretical models explaining
its determinants. It is essential to distinguish between horizontal and
vertical diff... | http://arxiv.org/abs/2307.10660v2 |
Computable solutions for expectations of Continuous Ranked Probability Scores
are presented. After deriving a scale invariant version of these scores, a
closed form for the convolutions of scores is presented. This closed form
enables the testing experts' statistical accuracy. Results are compared with
tests using a fa... | http://arxiv.org/abs/2304.07894v2 |
In this white paper, we review five top considerations for selecting
locations of the fields of the Roman High-latitude Time Domain Survey. Based on
these considerations, we recommend Akari Deep Field South (ADFS)/Euclid Deep
Field South (EDFS) in the Southern Hemisphere has it avoids bright stars, has
minimal Milky Wa... | http://arxiv.org/abs/2306.17226v1 |
In this work, we report a confocal laser induced fluorescence (LIF)
configuration, which allows for high spatial resolution measurements of plasma
properties in plasma setups and sources with a limited optical access. The
proposed LIF configuration utilizes a ring-shaped laser beam generated by a
pair of diffractive ax... | http://arxiv.org/abs/2303.12580v1 |
The motion of an observer in the rest frame of the cosmic 21-cm background
induces an anisotropy in the observed background, even when the background is
isotropic. The induced anisotropy includes a dipole and a quadrupole, in the
order decreasing in amplitude. If observed, these multipole anisotropies can be
used as ad... | http://arxiv.org/abs/2305.01672v2 |
Traditionally in the turnstile model of data streams, there is a state vector
$x=(x_1,x_2,\ldots,x_n)$ which is updated through a stream of pairs $(i,k)$
where $i\in [n]$ and $k\in \Z$. Upon receiving $(i,k)$, $x_i\gets x_i + k$. A
distinct count algorithm in the turnstile model takes one pass of the stream
and then es... | http://arxiv.org/abs/2310.14977v1 |
The rapid expansion of the digital world has propelled sentiment analysis
into a critical tool across diverse sectors such as marketing, politics,
customer service, and healthcare. While there have been significant
advancements in sentiment analysis for widely spoken languages, low-resource
languages, such as Bangla, r... | http://arxiv.org/abs/2308.10783v2 |
The diversity of workload requirements and increasing hardware heterogeneity
in emerging high performance computing (HPC) systems motivate resource
disaggregation. Resource disaggregation allows compute and memory resources to
be allocated individually as required to each workload. However, it is unclear
how to efficie... | http://arxiv.org/abs/2301.03592v3 |
The standard approach of calculating the relic density of thermally produced
dark matter based on the assumption of kinetic equilibrium is known to fail for
forbidden dark matter models since only the high momentum tail of the dark
matter phase space distribution function contributes significantly to dark
matter annihi... | http://arxiv.org/abs/2306.07753v2 |
Recent research using pre-trained transformer models suggests that just 10
minutes of transcribed speech may be enough to fine-tune such a model for
automatic speech recognition (ASR) -- at least if we can also leverage vast
amounts of text data (803 million tokens). But is that much text data
necessary? We study the u... | http://arxiv.org/abs/2302.04975v1 |
The use of galaxy clusters as cosmological probes relies on a detailed
understanding of their properties. We aim to update the spectroscopic cluster
identification of CODEX by running the spectroscopic group finder on the
follow-up spectroscopy results and connecting the dynamical state of clusters
to their scaling rel... | http://arxiv.org/abs/2307.08749v1 |
In this paper we prove a lower bound result for extremely large values of
$L(\frac{1}{2},\chi_p)$ with prime numbers $p\equiv 1\pmod 8$. | http://arxiv.org/abs/2306.16886v1 |
Consensus algorithms facilitate agreement on and resolution of blockchain
functions, such as smart contracts and transactions. Ethereum uses a
Proof-of-Stake (PoS) consensus mechanism, which depends on financial incentives
to ensure that validators perform certain duties and do not act maliciously.
Should a validator a... | http://arxiv.org/abs/2308.00590v1 |
In this work, we propose a novel inverse reinforcement learning (IRL)
algorithm for constrained Markov decision process (CMDP) problems. In standard
IRL problems, the inverse learner or agent seeks to recover the reward function
of the MDP, given a set of trajectory demonstrations for the optimal policy. In
this work, ... | http://arxiv.org/abs/2305.08130v1 |
Delay Gronwall inequality with a weakly singular kernel has been a subject of
interest in various mathematical studies. In this article, we will delve into
the consideration of this inequality and its application in the study
continuity of the state trajectory for a Volterra integral equation with delay.
Using delay Gr... | http://arxiv.org/abs/2306.11131v2 |
We study the average case complexity of the uniform membership problem for
subgroups of free groups, and we show that it is orders of magnitude smaller
than the worst case complexity of the best known algorithms. This applies to
subgroups given by a fixed number of generators as well as to subgroups given
by an exponen... | http://arxiv.org/abs/2303.14697v2 |
The solar chromosphere has historically been studied from spectral lines in
the visible and UV, notably H{\alpha}, Ca ii, Mg ii and Ly{\alpha}.
Observations at long UV wavelengths (304, 1600 and 1700 {\AA}) from space have
been recently added. However, the chromosphere can also be studied in the
infrared (IR), both in ... | http://arxiv.org/abs/2307.06764v1 |
In this note we deduce well known modular identities for Jacobi theta
functions using the spectral representations associated with the real valued
Brownian motion taking values on $[-1,+1]$. We consider two cases: (i)
reflection at $-1$ and $+1$, (ii) killing at $-1$ and $+1$. It is seen that
these two representations ... | http://arxiv.org/abs/2303.05942v1 |
The introduction and advancements in Local Differential Privacy (LDP)
variants have become a cornerstone in addressing the privacy concerns
associated with the vast data produced by smart devices, which forms the
foundation for data-driven decision-making in crowdsensing. While harnessing
the power of these immense dat... | http://arxiv.org/abs/2309.00861v2 |
Knowledge distillation in neural networks refers to compressing a large model
or dataset into a smaller version of itself. We introduce Privacy Distillation,
a framework that allows a text-to-image generative model to teach another model
without exposing it to identifiable data. Here, we are interested in the
privacy i... | http://arxiv.org/abs/2306.01322v1 |
Augmented Language Models (ALMs) blend the reasoning capabilities of Large
Language Models (LLMs) with tools that allow for knowledge retrieval and action
execution. Existing ALM systems trigger LLM thought processes while pulling
observations from these tools in an interleaved fashion. Specifically, an LLM
reasons to ... | http://arxiv.org/abs/2305.18323v1 |
In this paper, a descent method for nonsmooth multiobjective optimization
problems on complete Riemannian manifolds is proposed. The objective functions
are only assumed to be locally Lipschitz continuous instead of convexity used
in existing methods. A necessary condition for Pareto optimality in Euclidean
space is ge... | http://arxiv.org/abs/2304.11990v1 |
To achieve autonomy in unknown and unstructured environments, we propose a
method for semantic-based planning under perceptual uncertainty. This
capability is crucial for safe and efficient robot navigation in environment
with mobility-stressing elements that require terrain-specific locomotion
policies. We propose the... | http://arxiv.org/abs/2304.00645v1 |
A Wehrl entropy construction is proposed for an arbitrary locally compact
abelian group $G$. It is proved that the Wehrl entropy is not less than a
non-negative integer, which is an invariant of the group $G$. The minimum of
the Wehrl entropy is achieved on coherent states. | http://arxiv.org/abs/2306.15357v2 |
We consider maximization of stochastic monotone continuous submodular
functions (CSF) with a diminishing return property. Existing algorithms only
guarantee the performance \textit{in expectation}, and do not bound the
probability of getting a bad solution. This implies that for a particular run
of the algorithms, the ... | http://arxiv.org/abs/2303.11937v1 |
We introduce Mesogeos, a large-scale multi-purpose dataset for wildfire
modeling in the Mediterranean. Mesogeos integrates variables representing
wildfire drivers (meteorology, vegetation, human activity) and historical
records of wildfire ignitions and burned areas for 17 years (2006-2022). It is
designed as a cloud-f... | http://arxiv.org/abs/2306.05144v2 |
Generative models capable of capturing nuanced clinical features in medical
images hold great promise for facilitating clinical data sharing, enhancing
rare disease datasets, and efficiently synthesizing annotated medical images at
scale. Despite their potential, assessing the quality of synthetic medical
images remain... | http://arxiv.org/abs/2306.12438v1 |
The hadronic light-by-light scattering contribution to the muon anomalous
magnetic moment, $(g-2$)/2, is computed in the infinite volume QED framework
with lattice QCD. We report $a_\mu^\text{HLbL}=12.47(1.15)(0.99) \times
10^{-10}$ where the first error is statistical and the second systematic. The
result is mainly ba... | http://arxiv.org/abs/2304.04423v1 |
Artificial Intelligence (AI) is a double-edged sword: on one hand, AI
promises to provide great advances that could benefit humanity, but on the
other hand, AI poses substantial (even existential) risks. With advancements
happening daily, many people are increasingly worried about AI's impact on
their lives. To ensure ... | http://arxiv.org/abs/2304.12241v4 |
Writing a readme is a crucial aspect of software development as it plays a
vital role in managing and reusing program code. Though it is a pain point for
many developers, automatically creating one remains a challenge even with the
recent advancements in large language models (LLMs), because it requires
generating an a... | http://arxiv.org/abs/2308.03099v2 |
A nonrelativistic quantum theory of dark matter particles in a spherical halo
is developed by using a new asymmetric equation, which is complementary to the
Schr\"odinger equation. The theory predicts that each dark matter halo has its
core and envelope with very distinct physical properties. The core is free of
any qu... | http://arxiv.org/abs/2303.16080v4 |
Quantifying the impact of training data points is crucial for understanding
the outputs of machine learning models and for improving the transparency of
the AI pipeline. The influence function is a principled and popular data
attribution method, but its computational cost often makes it challenging to
use. This issue b... | http://arxiv.org/abs/2310.00902v3 |
In this paper, moderate deviations for normal approximation of functionals
over infinitely many Rademacher random variables are derived. They are based on
a bound for the Kolmogorov distance between a general Rademacher functional and
a Gaussian random variable, continued by an intensive study of the behavior of
operat... | http://arxiv.org/abs/2301.10288v2 |
Chirality is a feature of many biological systems and much research has been
focused on understanding the origin and implications of this property.
Famously, sugars and amino acids found in nature are homochiral, i.e., chiral
symmetry is broken and only one of the two possible chiral states is ever
observed. Certain ty... | http://arxiv.org/abs/2307.14360v1 |
Let $\E$ be a finite dimensional Hilbert space. This note finds all
factorizations of the right shift semigroup $\S^\E=(S_t^\E)_{t\ge 0}$ on
$L^2(\R_+,\E)$ into the product of $n$ commuting contractive semigroups, i.e.,
characterizes all $n$-tuples of commuting semigroups $(\V_1,\V_2,...,\V_n)$
where $\V_i=(V_{i,t})_{t... | http://arxiv.org/abs/2306.15343v2 |
The formation of the first stars marks a watershed moment in the history of
our universe. As the first luminous structures, these stars (also known as
Population III, or Pop III stars) seed the first galaxies and begin the process
of reionization. We construct an analytic model to self-consistently trace the
formation ... | http://arxiv.org/abs/2304.03358v2 |
GLAM organisations have been exploring the benefits of publishing their
digital collections in a wide variety of forms since the 2000s. Many
institutions, and in particular libraries, have adopted the Semantic Web and
Linked Data principles to their main catalogues. Recent advances in technology
and innovative approach... | http://arxiv.org/abs/2301.11182v2 |
Natural language processing models based on neural networks are vulnerable to
adversarial examples. These adversarial examples are imperceptible to human
readers but can mislead models to make the wrong predictions. In a black-box
setting, attacker can fool the model without knowing model's parameters and
architecture.... | http://arxiv.org/abs/2303.07199v1 |
In this brief paper, a learning algorithm is developed for Deep Learning
NeuroSkin Neural Network to improve their learning properties. Neuroskin is a
new type of neural network presented recently by the authors. It is comprised
of a cellular membrane which has a neuron attached to each cell. The neuron is
the cells nu... | http://arxiv.org/abs/2302.01819v1 |
The filming of sporting events projects and flattens the movement of athletes
in the world onto a 2D broadcast image. The pixel locations of joints in these
images can be detected with high validity. Recovering the actual 3D movement of
the limbs (kinematics) of the athletes requires lifting these 2D pixel
locations ba... | http://arxiv.org/abs/2304.04437v1 |
Robustness is a fundamental property of machine learning classifiers required
to achieve safety and reliability. In the field of adversarial robustness of
image classifiers, robustness is commonly defined as the stability of a model
to all input changes within a p-norm distance. However, in the field of random
corrupti... | http://arxiv.org/abs/2305.05400v4 |
We study the scattering of light-like geodesics and massless scalar waves by
a static Konoplya-Zhidenko black hole, considering the case that the
parametrized black hole solution contains a single deformation parameter. By
performing a geodesic analysis, we compute the classical differential
scattering cross section an... | http://arxiv.org/abs/2304.12255v1 |
Extending the success of 2D Large Kernel to 3D perception is challenging due
to: 1. the cubically-increasing overhead in processing 3D data; 2. the
optimization difficulties from data scarcity and sparsity. Previous work has
taken the first step to scale up the kernel size from 3x3x3 to 7x7x7 by
introducing block-share... | http://arxiv.org/abs/2303.16094v1 |
A compact yet accurate approach for representing the wave functions of
members of the He and Li isoelectronic series is using explicitly correlated
wave functions. These wave functions, however, often have nonlinear forms,
which make them challenging to optimize. In this work, we show how Variational
Monte Carlo (VMC) ... | http://arxiv.org/abs/2310.00916v1 |
The algorithms used to train neural networks, like stochastic gradient
descent (SGD), have close parallels to natural processes that navigate a
high-dimensional parameter space -- for example protein folding or evolution.
Our study uses a Fokker-Planck approach, adapted from statistical physics, to
explore these parall... | http://arxiv.org/abs/2306.03521v1 |
Locally repairable codes (LRCs) have emerged as an important coding scheme in
distributed storage systems (DSSs) with relatively low repair cost by accessing
fewer non-failure nodes. Theoretical bounds and optimal constructions of LRCs
have been widely investigated. Optimal LRCs via cyclic and constacyclic codes
provid... | http://arxiv.org/abs/2303.06287v1 |
The graphs with permutation-representation number (\textit{prn}) at most two
are known. While a characterization for the class of graphs with the
\textit{prn} at most three is an open problem, we summarize the graphs of this
class that are known so far. Although it is known that the \textit{prn} of
trees is at most thr... | http://arxiv.org/abs/2307.00301v2 |
Asymptotically, we analytically derive the form of eigenvectors for two
Fisher-Hartwig symbols besides those which were previously investigated in a
$2016$ work due to Movassagh and Kadanoff, in which the authors characterized
the eigenpairs of Toeplitz matrices generated by Fisher-Hartwig symbols with
one singularity.... | http://arxiv.org/abs/2308.01842v3 |
Generalized Additive Models (GAMs) have recently experienced a resurgence in
popularity due to their interpretability, which arises from expressing the
target value as a sum of non-linear transformations of the features. Despite
the current enthusiasm for GAMs, their susceptibility to concurvity - i.e.,
(possibly non-l... | http://arxiv.org/abs/2305.11475v3 |
This paper attempts to find a probability distribution for the white noise
(rapidly fluctuating unbalanced force) in the Langevin Equation. Unbalanced
force is the resultant impulse provided to the brownian particle by the
colliding fluid molecules. Therefore, a probability distribution of the speed
of the particles af... | http://arxiv.org/abs/2308.00584v1 |
Chirality, the property of asymmetry, is of great importance in biological
and physical phenomena. This prospective offers an overview of the emerging
field of chiral bioinspired plasmonics and metamaterials, aiming to uncover
nature's blueprint for engineering nanostructured materials. These materials
possess unique c... | http://arxiv.org/abs/2306.16892v1 |
With social progress and the development of modern medical technology, the
amount of medical waste generated is increasing dramatically. The problem of
medical waste recycling and treatment has gradually drawn concerns from the
whole society. The sudden outbreak of the COVID-19 epidemic further brought new
challenges. ... | http://arxiv.org/abs/2302.04961v4 |
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