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Let $(R,\mathfrak m)$ be a Cohen-Macaulay local ring of dimension $d\geq 2$
and $I$ an $\mathfrak m$-primary ideal. Let rd$(I)$ be the reduction number of
$I$ and n$(I)$ the postulation number. We prove that for $d=2,$ if
n$(I)=\rho(I)-1,$ then rd$(I) \leq$n$(I)+2$ and if n$(I)\neq \rho(I)-1,$ then
rd$(I)\geq$n$(I)+2.$... | http://arxiv.org/abs/2307.01196v1 |
Flow patterns of causal significance to three-dimensional isotropic
turbulence are identified through the recently introduced algorithm of
Jim\'enez (2018). Localised perturbations are introduced at arbitrary regions
of a triple-periodic decaying flow at ${Re}_\lambda \approx 190$, and their
evolution is used as a mark... | http://arxiv.org/abs/2302.04630v1 |
We present a spectral sequence for free isometric Lie algebra actions (and
consequently locally free isometric Lie group actions) which relates the de
Rham cohomology of the manifold with the Lie algebra cohomology and basic
cohomology (intuitively the cohomology of the orbit space). In the process of
developing this s... | http://arxiv.org/abs/2308.11500v1 |
For over three decades, the front-capturing level-set method has demonstrated
its prowess for the simulation, at the mesoscopic scale, of numerous mechanisms
in the context of microstructure evolution occurring during complex
thermomechanical paths. This review delves into the foundations of this
numerical framework, c... | http://arxiv.org/abs/2310.04421v1 |
In this work we report state-of-the-art theoretical calculations of the
dipole polarizability of the argon atom. Frequency dependence of the
polarizability is taken into account by means of the dispersion coefficients
(Cauchy coefficients) which is sufficient for experimentally relevant
wavelengths below the first reso... | http://arxiv.org/abs/2301.12502v2 |
We give the solution of the Whitham modulation equations for envelopes of
pulses evolving according to the sine-Gordon equation. The Whitham equations
are interpreted as the equations of relativistic hydrodynamics and their
solving is reduced by the hodograph method to solving a linear partial
differential equation. We... | http://arxiv.org/abs/2301.04360v1 |
Deep Learning models, such as those used in an autonomous vehicle are
vulnerable to adversarial attacks where an attacker could place an adversarial
object in the environment, leading to mis-classification. Generating these
adversarial objects in the digital space has been extensively studied, however
successfully tran... | http://arxiv.org/abs/2310.12243v1 |
Using real road testing to optimize autonomous driving algorithms is
time-consuming and capital-intensive. To solve this problem, we propose a
GAN-based model that is capable of generating high-quality images across
different domains. We further leverage Contrastive Learning to train the model
in a self-supervised way ... | http://arxiv.org/abs/2302.12052v1 |
This paper considers the problem of data generation for MPC policy
approximation. Learning an approximate MPC policy from expert demonstrations
requires a large data set consisting of optimal state-action pairs, sampled
across the feasible state space. Yet, the key challenge of efficiently
generating the training sampl... | http://arxiv.org/abs/2303.05607v2 |
In this paper, we investigate the use of the learned digital back-propagation
(LDBP) for equalizing dual-polarization fiber-optic transmission in
dispersion-managed (DM) links. LDBP is a deep neural network that optimizes the
parameters of DBP using the stochastic gradient descent. We evaluate DBP and
LDBP in a simulat... | http://arxiv.org/abs/2307.06821v1 |
Data association is at the core of many computer vision tasks, e.g., multiple
object tracking, image matching, and point cloud registration. however, current
data association solutions have some defects: they mostly ignore the intra-view
context information; besides, they either train deep association models in an
end-... | http://arxiv.org/abs/2303.15414v2 |
Some key issues in robust clustering are discussed with focus on Gaussian
mixture model based clustering, namely the formal definition of outliers,
ambiguity between groups of outliers and clusters, the interaction between
robust clustering and the estimation of the number of clusters, the essential
dependence of (not ... | http://arxiv.org/abs/2308.14478v1 |
M-dwarf flares observed by the \textit{Transiting Exoplanet Survey Satellite}
(\textit{TESS}) sometimes exhibit a "peak-bump" light-curve morphology,
characterized by a secondary, gradual peak well after the main, impulsive peak.
A similar "late phase" is frequently detected in solar flares observed in the
extreme-ultr... | http://arxiv.org/abs/2310.19316v1 |
Existing Question Answering (QA) systems limited by the capability of
answering questions from unseen domain or any out-of-domain distributions
making them less reliable for deployment to real scenarios. Most importantly
all the existing QA domain adaptation methods are either based on generating
synthetic data or pseu... | http://arxiv.org/abs/2305.05589v1 |
We compute the evolution and rotational periods of young stars, using the
MESA code, starting from a stellar seed, and take protostellar accretion,
stellar winds, and the magnetic star-disk interaction into account.
Furthermore, we add a certain fraction of the energy of accreted material into
the stellar interior as a... | http://arxiv.org/abs/2303.11672v1 |
Long-term activity forecasting is an especially challenging research problem
because it requires understanding the temporal relationships between observed
actions, as well as the variability and complexity of human activities. Despite
relying on strong supervision via expensive human annotations, state-of-the-art
forec... | http://arxiv.org/abs/2307.12854v1 |
We discuss the applicability of quasilinear-type approximations for a
turbulent system with a large range of spatial and temporal scales. We consider
a paradigm fluid system of rotating convection with a vertical and horizontal
temperature gradients. In particular, the interaction of rotating with the
horizontal temper... | http://arxiv.org/abs/2307.03781v1 |
This paper presents a novel approach named Persona-Grouping-Intelligence
(PGI), which has been crafted to tackle the challenges posed by GPT models when
applied to real-world business issues. PGI leverages the inherent capabilities
of the GPT model to comprehend intricate language structures and generate
responses that... | http://arxiv.org/abs/2308.13317v1 |
We consider the discrete series-connected lossy Josephson transmission line,
constructed from Josephson junctions, capacitors and resistors (one-dimensional
array of Josephson junctions). We derive equations describing pump, signal, and
idler interaction in the system and calculate the thresholds for the parametric
amp... | http://arxiv.org/abs/2301.09644v7 |
There exist no publicly available annotated underwater multi-object tracking
(MOT) datasets captured in turbid environments. To remedy this we propose the
BrackishMOT dataset with focus on tracking schools of small fish, which is a
notoriously difficult MOT task. BrackishMOT consists of 98 sequences captured
in the wil... | http://arxiv.org/abs/2302.10645v1 |
Speaker diarization is a task concerned with partitioning an audio recording
by speaker identity. End-to-end neural diarization with encoder-decoder based
attractor calculation (EEND-EDA) aims to solve this problem by directly
outputting diarization results for a flexible number of speakers. Currently,
the EDA module r... | http://arxiv.org/abs/2306.13863v1 |
Graph dynamical systems (GDS) model dynamic processes on a (static) graph.
Stochastic GDS has been used for network-based epidemics models such as the
contact process and the reversible contact process. In this paper, we consider
stochastic GDS that are also continuous-time Markov processes (CTMP), whose
transition rat... | http://arxiv.org/abs/2303.08323v1 |
Using multi-frequency Very Long Baseline Interferometer (VLBI) observations,
we probe the jet size in the optically thick hard state jets of two black hole
X-ray binary (BHXRB) systems, MAXI J1820+070 and V404 Cygni. Due to optical
depth effects, the phase referenced VLBI core positions move along the jet axis
of the B... | http://arxiv.org/abs/2308.15766v1 |
We examine the Newman-Janis algorithm's application to an exact regular
static solution sustained by a minimally coupled scalar field with a
non-standard kinetic term. Although coordinate complexification leads to a
regular Kerr-like black hole, we are facing discrepancies in Einstein's
equations in a fairly small doma... | http://arxiv.org/abs/2305.04697v2 |
Fast radio bursts (FRBs) are radio transients of extragalactic origin lasting
for about a few to several milli-seconds. We have analyzed both non-CHIME and
CHIME FRB data. To circumvent the absence of measured fluence and flux density
of FRBs belonging to the CHIME catalog, we have devised a novel approach that
utilize... | http://arxiv.org/abs/2310.11992v2 |
In the mysterious and colorful world of chromatic numbers, where there are a
lot of unknown, there is an amazing thing. It turns out that for some intervals
of forbidden distances on the plane, one can specify the exact value of the
chromatic number $\chi$. Two sets of such intervals have been found, for
$\chi=7$ and 9... | http://arxiv.org/abs/2303.14722v1 |
Many testing problems are readily amenable to randomised tests such as those
employing data splitting. However despite their usefulness in principle,
randomised tests have obvious drawbacks. Firstly, two analyses of the same
dataset may lead to different results. Secondly, the test typically loses power
because it does... | http://arxiv.org/abs/2301.02739v3 |
In this paper, we conjecture a monotonicity property that we call
monotonicity under coarse-graining for a class of multi-partite entanglement
measures. We check these properties by computing the measures for various types
of states using different methods. | http://arxiv.org/abs/2308.16247v1 |
We consider a general causal relativistic theory of divergence type in the
framework of Rational Extended Thermodynamics (RET) for a compressible,
possibly dense, gas. We require that the system converges in the Maxwellian
iteration's first step to the parabolic Eckart equations. This requirement
implies a constraint b... | http://arxiv.org/abs/2305.08085v1 |
We derive new boundary conditions and implementation procedures for nonlinear
initial boundary value problems (IBVPs) with non-zero boundary data that lead
to bounded solutions. The new boundary procedure is applied to nonlinear IBVPs
in skew-symmetric form, including dissipative terms. The complete procedure has
two m... | http://arxiv.org/abs/2306.01297v2 |
Computing platforms in autonomous vehicles record large amounts of data from
many sensors, process the data through machine learning models, and make
decisions to ensure the vehicle's safe operation. Fast, accurate, and reliable
decision-making is critical. Traditional computer processors lack the power and
flexibility... | http://arxiv.org/abs/2308.06054v1 |
Integrating nanophotonics with electronics promises revolutionary
applications, from LiDAR to holographic displays. Although silicon photonics is
maturing, realizing active nanophotonics in the ubiquitous bulk CMOS processes
remains challenging. We introduce a fabless approach to embed active
nanophotonics in bulk CMOS... | http://arxiv.org/abs/2310.04409v3 |
We use Menger's Theorem and K\"onig's Line Colouring Theorem to show that in
any tripartite graph with two complete (bipartite) sides the maximum number of
pairwise edge-disjoint triangles equals the minimum number of edges that meet
all triangles. This generalizes the corresponding result for complete
tripartite graph... | http://arxiv.org/abs/2307.08824v1 |
Safety-critical domains, such as automotive, space, and robotics, are
adopting increasingly powerful multicores with abundant hardware shared
resources for higher performance and efficiency. However, mutual interference
due to parallel operation within the SoC must be properly validated. Recently,
the SafeTI traffic in... | http://arxiv.org/abs/2308.11528v1 |
Leading $\Lambda$ (LL) production in $ep$ collisions at high energies is
investigated using the color dipole formalism and taking into account the
nonlinear QCD effects. In particular, the impact of the absorptive effects on
the LL spectra are estimated considering the kinematical range that will be
probed by the Elect... | http://arxiv.org/abs/2306.09813v1 |
Via large-scale molecular dynamics simulations, we observe the melting of a
topological glass of stiff ring polymers by incorporating flexible ring
polymers, along an isobaric path. As more flexible ring polymers are
introduced, cluster glass-like structures emerge in the stiffer ring polymers
with reduced orthogonal t... | http://arxiv.org/abs/2305.10812v1 |
The analysis of light variation of M87 can help us understand the disc
evolution. In the past decade, M87 has experienced several short-term light
variabilities related to flares. We also find there are year-scale X-ray
variations in the core of M87. Their light variability properties are similar
to clumpy-ADAF. By re-... | http://arxiv.org/abs/2303.12353v1 |
Sentences that present a complex syntax act as a major stumbling block for
downstream Natural Language Processing applications whose predictive quality
deteriorates with sentence length and complexity. The task of Text
Simplification (TS) may remedy this situation. It aims to modify sentences in
order to make them easi... | http://arxiv.org/abs/2308.00425v1 |
To push forward the important emerging research field surrounding multi-area
recurrent neural networks (RNNs), we expand theoretically and empirically on
the provably stable RNNs of RNNs introduced by Kozachkov et al. in "RNNs of
RNNs: Recursive Construction of Stable Assemblies of Recurrent Neural
Networks". We prove ... | http://arxiv.org/abs/2310.01571v1 |
Ranges of existence and stability of dark cavity-soliton stationary states in
a Fabry-Perot resonator with a Kerr nonlinear medium and normal dispersion are
determined. The Fabry-Perot configuration introduces nonlocal coupling that
shifts the cavity detuning by the round trip average power of the intracavity
field. Wh... | http://arxiv.org/abs/2306.02946v1 |
We investigate the single transverse-spin asymmetry with a $\sin
(\phi_h-\phi_S)$ modulation in the charged Kaon produced and in $\Lambda$
hyperon produced SIDIS process within the theoretical framework of transverse
momentum dependent (TMD) factorization at the next-to-leading-logarithmic
order. The asymmetry is contr... | http://arxiv.org/abs/2303.09015v1 |
We present a new algorithm by which the Adomian polynomials can be determined
for scalar-valued nonlinear polynomial functional in a Hilbert space. This
algorithm calculates the Adomian polynomials without the complicated operations
such as parametrization, expansion, regrouping, differentiation, etc. The
algorithm inv... | http://arxiv.org/abs/2305.04867v1 |
When learning graph neural networks (GNNs) in node-level prediction tasks,
most existing loss functions are applied for each node independently, even if
node embeddings and their labels are non-i.i.d. because of their graph
structures. To eliminate such inconsistency, in this study we propose a novel
Quasi-Wasserstein ... | http://arxiv.org/abs/2310.11762v4 |
Deep graph generative modeling has gained enormous attraction in recent years
due to its impressive ability to directly learn the underlying hidden graph
distribution. Despite their initial success, these techniques, like much of the
existing deep generative methods, require a large number of training samples to
learn ... | http://arxiv.org/abs/2306.03480v2 |
Nanowire devices have long been proposed as an efficient alternative to their
planar counterparts for different optoelectronic applications. Unfortunately,
challenges related to the growth and characterization of doping and p-n
junction formation in nanowire devices (along axial or radial axis) have
significantly imped... | http://arxiv.org/abs/2301.08572v1 |
Classification is a popular task in the field of Machine Learning (ML) and
Artificial Intelligence (AI), and it happens when outputs are categorical
variables. There are a wide variety of models that attempts to draw some
conclusions from observed values, so classification algorithms predict
categorical class labels an... | http://arxiv.org/abs/2302.11573v1 |
We consider the quantum version of inferring the causal relation between
events. There has been recent progress towards identifying minimal
interventions and observations needed. We here give an explicit quantum causal
inference scheme using quantum observations alone for the case of a bipartite
quantum system with mea... | http://arxiv.org/abs/2303.10544v3 |
This work evaluates the impact of time step frequency and component scale on
robotic manipulation simulation accuracy. Increasing the time step frequency
for small-scale objects is shown to improve simulation accuracy. This
simulation, demonstrating pre-assembly part picking for two object geometries,
serves as a start... | http://arxiv.org/abs/2310.08233v1 |
We study the sharp interface limit of the stochastic Cahn-Hilliard equation
with cubic double-well potential and additive space-time white noise
$\epsilon^{\sigma}\dot{W}$ where $\epsilon>0$ is an interfacial width
parameter. We prove that, for sufficiently large scaling constant $\sigma >0$,
the stochastic Cahn-Hillia... | http://arxiv.org/abs/2304.14785v2 |
In this paper, we establish the main term governing the rate at which a
compact reversible Markov chain converges to stationarity. As an application,
we obtain the sharpest estimates for the corank distributions of uniform, skew
centrosymmetric, symmetric, skew-symmetric, and Hermitian matrices. | http://arxiv.org/abs/2308.02232v1 |
The origins of proof-theoretic semantics lie in the question of what
constitutes the meaning of the logical connectives and its response: the rules
of inference that govern the use of the connective. However, what if we go a
step further and ask about the meaning of a proof as a whole? In this paper we
address this que... | http://arxiv.org/abs/2307.03971v1 |
The Galactic Plane was searched for transient, monochromatic light at optical
and near-IR wavelengths to detect pulses shorter than 1 sec. An objective-prism
Schmidt telescope and CMOS camera were used to observe 973 square degrees along
the Galactic Plane within a strip 2.1 deg wide. The non-detections of laser
pulses... | http://arxiv.org/abs/2301.01230v1 |
The AUGER Collaboration has recently published the precise energy spectrum of
cosmic rays above 1 EeV, which exhibits rich and interesting features. These
features provide an opportunity to investigate the galactic propagation and
interaction of ultra-high-energy cosmic rays (UHECRs). While the classic dip
model, which... | http://arxiv.org/abs/2310.17313v2 |
Quantum networks will be able to service consumers with long-distance
entanglement by use of quantum repeaters that generate Bell pairs (or links)
with their neighbors, iid with probability $p$ and perform Bell State
Measurements (BSMs) on the links that succeed iid with probability $q$. While
global link state knowled... | http://arxiv.org/abs/2308.15028v3 |
Understanding a student's problem-solving strategy can have a significant
impact on effective math learning using Intelligent Tutoring Systems (ITSs) and
Adaptive Instructional Systems (AISs). For instance, the ITS/AIS can better
personalize itself to correct specific misconceptions that are indicated by
incorrect stra... | http://arxiv.org/abs/2308.03892v1 |
With the recent availability of tissue-specific gene expression data, e.g.,
provided by the GTEx Consortium, there is interest in comparing gene
co-expression patterns across tissues. One promising approach to this problem
is to use a multilayer network analysis framework and perform multilayer
community detection. Com... | http://arxiv.org/abs/2305.12963v2 |
Transaction fees represent a major incentive in many blockchain systems as a
way to incentivize processing transactions. Unfortunately, they also introduce
an enormous amount of incentive asymmetry compared to alternatives like fixed
block rewards. We analyze some of the incentive compatibility issues that arise
from t... | http://arxiv.org/abs/2302.06769v1 |
This work reports on a method for uncertainty estimation in simulated
collider-event predictions. The method is based on a Monte Carlo-veto
algorithm, and extends previous work on uncertainty estimates in parton showers
by including uncertainty estimates for the Lund string-fragmentation model.
This method is advantage... | http://arxiv.org/abs/2308.13459v3 |
The Witten effect predicts that a magnetic monopole acquires a fractional
electric charge inside topological insulators.
In this work, we give a microscopic description of this phenomenon, as well
as an analogous two-dimensional system with a vortex. We solve the Dirac
equation of electron field both analytically in ... | http://arxiv.org/abs/2304.13954v4 |
Accurately classifying accents and assessing accentedness in non-native
speakers are both challenging tasks due to the complexity and diversity of
accent and dialect variations. In this study, embeddings from advanced
pre-trained language identification (LID) and speaker identification (SID)
models are leveraged to imp... | http://arxiv.org/abs/2310.11004v1 |
In this paper, we propose energy-based sample adaptation at test time for
domain generalization. Where previous works adapt their models to target
domains, we adapt the unseen target samples to source-trained models. To this
end, we design a discriminative energy-based model, which is trained on source
domains to joint... | http://arxiv.org/abs/2302.11215v1 |
This paper introduces a novel approach for recovering sparse signals using
sorted L1/L2 minimization. The proposed method assigns higher weights to
indices with smaller absolute values and lower weights to larger values,
effectively preserving the most significant contributions to the signal while
promoting sparsity. W... | http://arxiv.org/abs/2308.04125v1 |
Human vision incorporates non-uniform resolution retina, efficient eye
movement strategy, and spiking neural network (SNN) to balance the requirements
in visual field size, visual resolution, energy cost, and inference latency.
These properties have inspired interest in developing human-like computer
vision. However, e... | http://arxiv.org/abs/2310.06578v1 |
In this contribution, the shape coexistence phenomenon near the proton
sub-shell closure at Z=40 is analyzed. Particular emphasis is placed on
extracting the nuclear deformation values by examining experimental B(E2)
transition rates and observing how the kinematic moment of inertia evolves in
these nuclei. Based on th... | http://arxiv.org/abs/2310.19458v1 |
Data-driven most powerful tests are statistical hypothesis decision-making
tools that deliver the greatest power against a fixed null hypothesis among all
corresponding data-based tests of a given size. When the underlying data
distributions are known, the likelihood ratio principle can be applied to
conduct most power... | http://arxiv.org/abs/2303.07986v1 |
Let $\kappa$ be an uncountable cardinal with $\kappa=\kappa^{{<}\kappa}$.
Given a cardinal $\mu$, we equip the set ${}^\kappa\mu$ consisting of all
functions from $\kappa$ to $\mu$ with the topology whose basic open sets
consist of all extensions of partial functions of cardinality less than
$\kappa$. We prove results ... | http://arxiv.org/abs/2302.01006v1 |
Integrated sensing and communications (ISAC) has been recognized as a key
component in the envisioned 6G communication systems. Understanding the
fundamental performance tradeoff between sensing and communication
functionalities is essential for designing practical cost-efficient ISAC
systems. In this paper, we aim for... | http://arxiv.org/abs/2308.14336v1 |
Code-switching (CSW) text generation has been receiving increasing attention
as a solution to address data scarcity. In light of this growing interest, we
need more comprehensive studies comparing different augmentation approaches. In
this work, we compare three popular approaches: lexical replacements,
linguistic theo... | http://arxiv.org/abs/2310.15262v1 |
An interesting method of fast enantio-specific state transfer is proposed for
cyclic three-level systems of chiral molecules. We show that the fast
population transfer via shortcut to adiabaticity can be accomplished for the
cyclic three-level system of a general (chiral) molecule with invariant-based
inverse engineeri... | http://arxiv.org/abs/2301.03341v1 |
The goal of offline black-box optimization (BBO) is to optimize an expensive
black-box function using a fixed dataset of function evaluations. Prior works
consider forward approaches that learn surrogates to the black-box function and
inverse approaches that directly map function values to corresponding points in
the i... | http://arxiv.org/abs/2306.07180v2 |
Generalized additive models (GAMs) provide a way to blend parametric and
non-parametric (function approximation) techniques together, making them
flexible tools suitable for many modeling problems. For instance, GAMs can be
used to introduce flexibility to standard linear regression models, to express
"almost linear" b... | http://arxiv.org/abs/2303.02626v1 |
In a recent work arXiv:2201.07655v2 we showed that there is a constant
$\lambda >0$ such that it is possible to efficiently classically simulate a
quantum system in which (i) qudits are placed on the nodes of a graph, (ii)
each qudit undergoes at most $D$ diagonal gates, (iii) each qudit is
destructively measured in th... | http://arxiv.org/abs/2307.01800v1 |
We report on the preparation of a pure ultracold sample of bosonic DyK
Feshbach molecules, which are composed of the fermionic isotopes 161Dy and 40K.
Employing a magnetic sweep across a resonance located near 7.3 G, we produce up
to 5000 molecules at a temperature of about 50 nK. For purification from the
remaining at... | http://arxiv.org/abs/2304.07921v2 |
The purpose of this paper is to revisit the proof of the
Gearhart-Pr\"uss-Huang-Greiner theorem for a semigroup $S(t)$, following the
general idea of the proofs that we have seen in the literature and to get an
explicit estimate on the operator norm of $S(t)$ in terms of bounds on the
resolvent of the generator. In \ci... | http://arxiv.org/abs/2303.12435v1 |
Machine learning (ML) estimates of conditional average treatment effects
(CATE) can guide policy decisions, either by allowing targeting of individuals
with beneficial CATE estimates, or as inputs to decision trees that optimise
overall outcomes. There is limited information available regarding how well
these algorithm... | http://arxiv.org/abs/2302.05260v2 |
Recently the neutrino experiments ANTARES and IceCube have released new
constraints to the non-standard neutrino interaction (NSI) parameter
$\epsilon^d_{\mu\tau}$ (flavor off-diagonal). These new constraints are
stronger than those obtained from a combination of COHERENT and neutrino
oscillation data. In the light of ... | http://arxiv.org/abs/2304.01388v3 |
In the present paper, we develop a new goodness-of-fit test for the Birnbaum-
Saunders distribution based on the probability plot. We utilize the sample
correlation coefficient from the Birnbaum-Saunders probability plot as a
measure of goodness of fit. Unfortunately, it is impossible or extremely
difficult to obtain a... | http://arxiv.org/abs/2308.10150v1 |
We consider scattering processes involving massless fermions and 't
Hooft-Polyakov magnetic monopoles in a minimal SU(2) model and in the Grand
Unified SU(5) theory. We construct expressions for on-shell amplitudes for
these processes in the $J=0$ partial wave using the spinor helicity basis
consisting of single-partic... | http://arxiv.org/abs/2308.09401v2 |
The space of phylogenetic trees arises naturally in tropical geometry as the
tropical Grassmannian. Tropical geometry therefore suggests a natural notion of
a tropical path between two trees, given by a tropical line segment in the
tropical Grassmannian. It was previously conjectured that tree topologies along
such a s... | http://arxiv.org/abs/2302.03611v1 |
Nanoscale fluid transport is typically pictured in terms of atomic-scale
dynamics, as is natural in the real-space framework of molecular simulations.
An alternative Fourier-space picture, that involves the collective charge
fluctuation modes of both the liquid and the confining wall, has recently been
successful at pr... | http://arxiv.org/abs/2306.00837v1 |
Nowadays, billions of people engage in communication and express their
opinions on the internet daily. Unfortunately, not all of these expressions are
friendly or compliant, making content moderation an indispensable task. A
common approach is to use a discriminative model to classify the content, but
this method often... | http://arxiv.org/abs/2310.03400v2 |
Non-Intrusive Load Monitoring (NILM) is an energy efficiency technique to
track electricity consumption of an individual appliance in a household by one
aggregated single, such as building level meter readings. The goal of NILM is
to disaggregate the appliance from the aggregated singles by computational
method. In thi... | http://arxiv.org/abs/2303.03538v1 |
We study the Chow ring with rational coefficients of the moduli space
$\mathcal F_{2}$ of quasi-polarized $K3$ surfaces of degree $2$. We find
generators, relations, and calculate the Chow Betti numbers. The highest
nonvanishing Chow group is $\mathsf A^{17}(\mathcal F_2)\cong {\mathbb{Q}}$. We
prove that the Chow ring... | http://arxiv.org/abs/2307.09284v3 |
The class of tree-adjoining languages can be characterized by various
two-level formalisms, consisting of a context-free grammar (CFG) or pushdown
automaton (PDA) controlling another CFG or PDA. These four formalisms are
equivalent to tree-adjoining grammars (TAG), linear indexed grammars (LIG),
pushdown-adjoining auto... | http://arxiv.org/abs/2310.15276v1 |
The recent surge in research interest in applying large language models
(LLMs) to decision-making tasks has flourished by leveraging the extensive
world knowledge embedded in LLMs. While there is a growing demand to tailor
LLMs for custom decision-making tasks, finetuning them for specific tasks is
resource-intensive a... | http://arxiv.org/abs/2308.10144v2 |
In this paper, we study the unimodular equivalence of sublattices in an
$n$-dimensional lattice. A recursive procedure is given to compute the
cardinalities of the unimodular equivalent classes with the indices which are
powers of a prime $p$. We also show that these are integral polynomials in $p$.
When $n=2$, the exp... | http://arxiv.org/abs/2310.12519v1 |
Pitch is a foundational aspect of our perception of audio signals. Pitch
contours are commonly used to analyze speech and music signals and as input
features for many audio tasks, including music transcription, singing voice
synthesis, and prosody editing. In this paper, we describe a set of techniques
for improving th... | http://arxiv.org/abs/2301.12258v3 |
Increased data availability has stimulated the interest in studying sports
prediction problems via analytical approaches; in particular, with machine
learning and simulation. We characterize several models that have been proposed
in the literature, all of which suffer from the same drawback: they cannot
incorporate rat... | http://arxiv.org/abs/2304.09918v2 |
Cybersecurity attacks on embedded devices for industrial control systems and
cyber-physical systems may cause catastrophic physical damage as well as
economic loss. This could be achieved by infecting device binaries with malware
that modifies the physical characteristics of the system operation. Mitigating
such attack... | http://arxiv.org/abs/2305.06902v2 |
The possibility of recognizing diverse aspects of human behavior and
environmental context from passively captured data motivates its use for mental
health assessment. In this paper, we analyze the contribution of different
passively collected sensor data types (WiFi, GPS, Social interaction, Phone
Log, Physical Activi... | http://arxiv.org/abs/2310.13607v1 |
The role of disorder on physical systems has been widely studied in the
macroscopic and microscopic world. While static disorder is well understood in
many cases, the impact of time-dependent disorder on quantum gases is still
poorly investigated. In our experimental setup, we introduce and characterize a
method capabl... | http://arxiv.org/abs/2306.16099v2 |
Background: Huntington's disease (HD) is a rare, genetically determined brain
disorder that limits the life of the patient, although early prognosis of HD
can substantially improve the patient's quality of life. Current HD prognosis
methods include using a variety of complex biomarkers such as clinical and
imaging fact... | http://arxiv.org/abs/2302.03605v2 |
Two major mechanisms have been proposed to drive the solar eruptions: the
ideal magnetohydrodynamic instability and the resistive magnetic reconnection.
Due to the close coupling and synchronicity of the two mechanisms, it is
difficult to identify their respective contribution to solar eruptions,
especially to the crit... | http://arxiv.org/abs/2303.14050v1 |
Multi-document summarization is a challenging task due to its inherent
subjective bias, highlighted by the low inter-annotator ROUGE-1 score of 0.4
among DUC-2004 reference summaries. In this work, we aim to enhance the
objectivity of news summarization by focusing on the main event of a group of
related news documents... | http://arxiv.org/abs/2310.03414v1 |
New Natural Langauge Process~(NLP) benchmarks are urgently needed to align
with the rapid development of large language models (LLMs). We present Xiezhi,
the most comprehensive evaluation suite designed to assess holistic domain
knowledge. Xiezhi comprises multiple-choice questions across 516 diverse
disciplines rangin... | http://arxiv.org/abs/2306.05783v3 |
We consider a class of bulk-surface reaction-adsorption-diffusion systems,
i.e. a coupled systems of reaction-diffusion systems on a bounded domain
$\Omega \subseteq \mathbb{R}^d$ (bulk phase) and its boundary $\Sigma =
\partial \Omega$ (surface phase), which are coupled via nonlinear normal flux
boundary conditions. I... | http://arxiv.org/abs/2303.08479v1 |
Context: Increasingly, Oort Cloud comets are being discovered at great
distances from the Sun and tracked over ever wider ranges of heliocentric
distances as observational equipment improves. Aims: To investigate in detail
how the original semimajor axis for near-parabolic comets depends on the
selected data arc and th... | http://arxiv.org/abs/2308.03886v1 |
Recently a relationship between the Debye temperature $\Theta_D$ and the
superconducting transition temperature $T_c$ of conventional superconductors
has been proposed [npj Quantum Materials $\mathbf{3}$, 59 (2018)]. The
relationship indicates that $T_c \le A \Theta_D$ for phonon-mediated BCS
superconductors, with $A$ ... | http://arxiv.org/abs/2305.12977v2 |
Braginskii MHD provides a more accurate description of many plasma
environments than classical MHD since it actively treats the stress tensor
using a closure derived from physical principles. Stress tensor effects
nonetheless remain relatively unexplored for solar MHD phenomena, especially in
nonlinear regimes. This pa... | http://arxiv.org/abs/2303.11128v1 |
A finite abelian $p$-group having an automorphism $x$ such that
$1+\ldots+x^{p-1}=0$, can be viewed as a module over an appropriate discrete
valuation ring $\mathcal{O}$ containing $\mathbb{Z}_p$ (the ring of $p$-adic
integer). This yields the natural problem of comparing the invariants of $A$ as
a $\mathbb{Z}_p$-modul... | http://arxiv.org/abs/2303.06454v1 |
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