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This study presents a novel deep reinforcement learning (DRL)-based handover
(HO) protocol, called DHO, specifically designed to address the persistent
challenge of long propagation delays in low-Earth orbit (LEO) satellite
networks' HO procedures. DHO skips the Measurement Report (MR) in the HO
procedure by leveraging... | http://arxiv.org/abs/2310.20215v1 |
Can we better anticipate an actor's future actions (e.g. mix eggs) by knowing
what commonly happens after his/her current action (e.g. crack eggs)? What if
we also know the longer-term goal of the actor (e.g. making egg fried rice)?
The long-term action anticipation (LTA) task aims to predict an actor's future
behavior... | http://arxiv.org/abs/2307.16368v3 |
We introduce a theory of chemical equilibrium in optical microcavities, which
allows us to relate equilibrium reaction quotients in different electromagnetic
environments. Our theory shows that in planar microcavities under strong
coupling with polyatomic molecules, hybrid modes formed between all
dipole-active vibrati... | http://arxiv.org/abs/2305.00373v1 |
Quantification of nonclassicality and entanglement in a quantum state is
crucial for quantum advantage in information processing and computation.
Robustness is one of the tractable measures for quantifying quantum resources.
Gaussian states are important in continuous variable quantum information for
their theoreticall... | http://arxiv.org/abs/2309.11815v1 |
We analyze the measurement of cosmological distances in the presence of
torsion in both Einstein-Cartan and Poincare gauge theory of gravity. Using the
modified cosmological distance measurements, we use the observed time delays in
gravitational lensing systems to determine the Hubble parameter. The results
show the me... | http://arxiv.org/abs/2305.00415v2 |
Sterile neutrinos can be produced through mixing with active neutrinos in the
hot and dense core of a core-collapse supernova (SN). The standard bounds on
the active-sterile mixing ($\sin^2 \theta$) from SN arise from SN1987A
energy-loss, requiring $E_{\text{loss}}<10^{52}~{\rm erg}$. In this letter, we
discuss a novel... | http://arxiv.org/abs/2309.05860v1 |
We study the complexity and scale of the supergranular network across the
23rd solar cycle, using the Ca II K digitized intensitygrams from the
Kodaikanal Solar Observatory (KSO). Enhancing our previous data and refining
our data analysis, we study supergranular fractal dimension as a function of
cell size. We find tha... | http://arxiv.org/abs/2309.11801v1 |
We theoretically investigate the role of chiral-transitions in the quantum
friction force that acts on a two-level atom that moves with relative velocity
v parallel to a planar metallic surface. We find that the friction force has a
component that is sensitive to the handedness of the atomic transition dipole
moment. I... | http://arxiv.org/abs/2306.00151v1 |
Any group that has a subnormal series, in which all factors are abelian and
all except the last one are $p'$-torsion-free, can be embedded into a group
with a subnormal series of the same length, with the same properties and such
that any $p$-nonsingular system of equations over this group is solvable in
this group its... | http://arxiv.org/abs/2309.09096v3 |
Due to its security, transparency, and flexibility in verifying virtual
assets, blockchain has been identified as one of the key technologies for
Metaverse. Unfortunately, blockchain-based Metaverse faces serious challenges
such as massive resource demands, scalability, and security concerns. To
address these issues, t... | http://arxiv.org/abs/2305.00367v1 |
Many areas of the world are without basic information on the socioeconomic
well-being of the residing population due to limitations in existing data
collection methods. Overhead images obtained remotely, such as from satellite
or aircraft, can help serve as windows into the state of life on the ground and
help "fill in... | http://arxiv.org/abs/2309.16808v3 |
The scaling limit of crossing probabilities is believed to satisfy a
conformal mapping formula, called Cardy's formula, in two-dimensional
percolation at the criticality. The formula has been confirmed to hold for site
percolation on the equilateral triangular lattice. In this paper, we show that
Cardy's formula could ... | http://arxiv.org/abs/2309.05121v1 |
Recent advances in diffusion models such as ControlNet have enabled
geometrically controllable, high-fidelity text-to-image generation. However,
none of them addresses the question of adding such controllability to
text-to-3D generation. In response, we propose Text2Control3D, a controllable
text-to-3D avatar generatio... | http://arxiv.org/abs/2309.03550v1 |
Supervised and unsupervised techniques have demonstrated the potential for
temporal interpolation of video data. Nevertheless, most prevailing temporal
interpolation techniques hinge on optical flow, which encodes the motion of
pixels between video frames. On the other hand, geospatial data exhibits lower
temporal reso... | http://arxiv.org/abs/2309.00059v1 |
We introduce MVDream, a diffusion model that is able to generate consistent
multi-view images from a given text prompt. Learning from both 2D and 3D data,
a multi-view diffusion model can achieve the generalizability of 2D diffusion
models and the consistency of 3D renderings. We demonstrate that such a
multi-view diff... | http://arxiv.org/abs/2308.16512v4 |
Any complex-valued polynomial on $(\mathbb{R}^n)^k$ decomposes into an
algebraic combination of $O(n)$-invariant polynomials and harmonic polynomials.
This decomposition, separation of variables, is granted to be unique if $n \geq
2k-1$. We prove that the condition $n\geq 2k-1$ is not only sufficient, but
also necessar... | http://arxiv.org/abs/2309.11154v2 |
We consider the classic Correlation Clustering problem: Given a complete
graph where edges are labelled either $+$ or $-$, the goal is to find a
partition of the vertices that minimizes the number of the \pedges across parts
plus the number of the \medges within parts. Recently, Cohen-Addad, Lee and
Newman [CLN22] pres... | http://arxiv.org/abs/2309.17243v1 |
We consider large uniform labeled random graphs in different classes with few
induced $P_4$ ($P_4$ is the graph consisting of a single line of $4$ vertices)
which generalize the case of cographs. Our main result is the convergence to a
Brownian limit object in the space of graphons. As a by-product we obtain new
asympt... | http://arxiv.org/abs/2301.13607v3 |
We present cosmology results obtained from a blind joint analysis of the
abundance, projected clustering, and weak lensing of galaxy clusters measured
from the Sloan Digital Sky Survey (SDSS) redMaPPer cluster catalog and the
Hyper-Suprime Cam (HSC) Year3 shape catalog. We present a full-forward model
for the cluster o... | http://arxiv.org/abs/2309.13025v1 |
Quantum Machine Learning (QML) shows how it maintains certain significant
advantages over machine learning methods. It now shows that hybrid quantum
methods have great scope for deployment and optimisation, and hold promise for
future industries. As a weakness, quantum computing does not have enough qubits
to justify i... | http://arxiv.org/abs/2301.00109v1 |
In this paper we give several classes of Non-Gorenstein local rings $A$ which
satisfy the property that $\text{Ext}^i_A(M, A) = 0$ for $i \gg 0$ then
$\text{projdim}_A M$ is finite.
We also show that if $\text{injdim}_A M = \infty$ then over such rings the
bass-numbers of $M$ (with respect to $\mathfrak{m}$) are unbo... | http://arxiv.org/abs/2309.15440v1 |
Analysis of 8,804,545 electron velocity distribution functions (VDFs),
observed by the $\mathit{Wind}$ spacecraft near 1 AU between January 1, 2005
and January 1, 2022, was performed to determine the spacecraft floating
potential, $\phi{\scriptstyle_{sc}}$. $\mathit{Wind}$ was designed to be
electrostatically clean, wh... | http://arxiv.org/abs/2309.11626v1 |
In this paper, a novel observation is made on a one-dimensional compressible
Navier--Stokes model for the dynamic combustion of a reacting mixture of
$\gamma$-law gases ($\gamma>1$) with discontinuous Arrhenius reaction rate
function, on both bounded and unbounded domains. We show that the mass fraction
of the reactant... | http://arxiv.org/abs/2308.16506v2 |
Perceptual metrics, like the Fr\'echet Inception Distance (FID), are widely
used to assess the similarity between synthetically generated and ground truth
(real) images. The key idea behind these metrics is to compute errors in a deep
feature space that captures perceptually and semantically rich image features.
Despit... | http://arxiv.org/abs/2305.20048v3 |
Industrial image anomaly detection under the setting of one-class
classification has significant practical value. However, most existing models
struggle to extract separable feature representations when performing feature
embedding and struggle to build compact descriptions of normal features when
performing one-class ... | http://arxiv.org/abs/2305.00398v1 |
In this work, we investigate the personalization of text-to-music diffusion
models in a few-shot setting. Motivated by recent advances in the computer
vision domain, we are the first to explore the combination of pre-trained
text-to-audio diffusers with two established personalization methods. We
experiment with the ef... | http://arxiv.org/abs/2309.11140v1 |
We report simulation studies of 33 single intrinsically disordered proteins
(IDPs) using coarse-grained (CG) bead-spring models where interactions among
different amino acids are introduced through a hydropathy matrix and additional
screened Coulomb interaction for the charged amino acid beads. Our simulation
studies o... | http://arxiv.org/abs/2307.16383v2 |
Modern agile software projects are subject to constant change, making it
essential to re-asses overall delay risk throughout the project life cycle.
Existing effort estimation models are static and not able to incorporate
changes occurring during project execution. In this paper, we propose a dynamic
model for continuo... | http://arxiv.org/abs/2309.12449v2 |
We have for the first time identified the early stellar disk in the Milky Way
by using a combination of elemental abundances and kinematics. Using data from
APOGEE DR17 and Gaia we select stars in the Mg-Mn-Al-Fe plane with elemental
abundances indicative of accreted origin and find stars with both halo-like and
disk-l... | http://arxiv.org/abs/2303.00016v2 |
Rising urban populations have led to a surge in vehicle use and made traffic
monitoring and management indispensable. Acoustic traffic monitoring (ATM)
offers a cost-effective and efficient alternative to more computationally
expensive methods of monitoring traffic such as those involving computer vision
technologies. ... | http://arxiv.org/abs/2309.03544v1 |
We classify $G$-solid rational surfaces over the field of complex numbers. | http://arxiv.org/abs/2309.13757v3 |
In this work, we seek to simulate rare transitions between metastable states
using score-based generative models. An efficient method for generating
high-quality transition paths is valuable for the study of molecular systems
since data is often difficult to obtain. We develop two novel methods for path
generation in t... | http://arxiv.org/abs/2309.10276v1 |
Recently, removing objects from videos and filling in the erased regions
using deep video inpainting (VI) algorithms has attracted considerable
attention. Usually, a video sequence and object segmentation masks for all
frames are required as the input for this task. However, in real-world
applications, providing segmen... | http://arxiv.org/abs/2302.14362v1 |
Our study introduces a new image-to-video generator called FashionFlow to
generate fashion videos. By utilising a diffusion model, we are able to create
short videos from still fashion images. Our approach involves developing and
connecting relevant components with the diffusion model, which results in the
creation of ... | http://arxiv.org/abs/2310.00106v2 |
We tackle the task of scalable unsupervised object-centric representation
learning on 3D scenes. Existing approaches to object-centric representation
learning show limitations in generalizing to larger scenes as their learning
processes rely on a fixed global coordinate system. In contrast, we propose to
learn view-inv... | http://arxiv.org/abs/2309.14010v1 |
Designing versatile graph learning approaches is important, considering the
diverse graphs and tasks existing in real-world applications. Existing methods
have attempted to achieve this target through automated machine learning
techniques, pre-training and fine-tuning strategies, and large language models.
However, the... | http://arxiv.org/abs/2309.04565v2 |
We propose a new method to detect sub-GeV dark matter, through their
scatterings from free leptons and the resulting kinematic shifts. Specially,
such an experiment can detect dark matter interacting solely with muons. The
experiment proposed here is to directly probe muon-philic dark matter, in a
model-independent way... | http://arxiv.org/abs/2303.18117v2 |
State redistribution (SRD) is a recently developed technique for stabilizing
cut cells that result from finite-volume embedded boundary methods. SRD has
been successfully applied to a variety of compressible and incompressible flow
problems. When used in conjunction with adaptive mesh refinement (AMR),
additional steps... | http://arxiv.org/abs/2309.06372v1 |
The prevalence of social media platforms and their use across the globe makes
them attractive options for studying large groups of people, particularly when
some of these platforms provide access to large amounts of structured data.
However, with the collection, storage, and use of this data comes ethical and
legal res... | http://arxiv.org/abs/2302.14404v1 |
Neural networks (NNs) have been successfully deployed in various fields. In
NNs, a large number of multiplyaccumulate (MAC) operations need to be
performed. Most existing digital hardware platforms rely on parallel MAC units
to accelerate these MAC operations. However, under a given area constraint, the
number of MAC u... | http://arxiv.org/abs/2309.10510v1 |
Despite the seeming success of contemporary grounded text generation systems,
they often tend to generate factually inconsistent text with respect to their
input. This phenomenon is emphasized in tasks like summarization, in which the
generated summaries should be corroborated by their source article. In this
work, we ... | http://arxiv.org/abs/2306.00186v1 |
During the last stage of RLHF, a large language model is aligned to human
intents via PPO training, a process that generally requires large-scale
computational resources. In this technical report, we empirically investigate
an efficient implementation of RLHF using low-rank adaptation (LoRA), which
allows us to align t... | http://arxiv.org/abs/2309.09055v1 |
A (toy) model for cold and luke-warm strongly-coupled nuclear matter at
finite baryon density is used to study neutrino transport. The complete charged
current two-point correlators are computed in the strongly-coupled medium and
their impact on neutrino transport is analyzed. The full result is compared
with various a... | http://arxiv.org/abs/2306.00192v2 |
Range-measuring sensors play a critical role in autonomous driving systems.
While LiDAR technology has been dominant, its vulnerability to adverse weather
conditions is well-documented. This paper focuses on secondary adverse
conditions and the implications of ill-reflective surfaces on range measurement
sensors. We as... | http://arxiv.org/abs/2309.10504v1 |
We prove that if a sequence of geodesically complete CAT$(0)$-spaces $X_j$
with uniformly cocompact discrete groups of isometries converges in the
Gromov-Hausdorff sense to $X_\infty$, then the dimension of the maximal
Euclidean factor splitted off by $X_\infty$ and $X_j$ is the same, for $j$ big
enough. In other words... | http://arxiv.org/abs/2309.14762v1 |
Minimal Kitaev chains composed of two semiconducting quantum dots coupled via
a grounded superconductor have emerged as a promising platform to realize and
study Majorana bound states (MBSs). We propose a hybrid qubit based on a
Josephson junction between two such double quantum dots (DQDs) embedded in a
superconductin... | http://arxiv.org/abs/2309.12313v1 |
We explore the relationship between the thermal Sunyaev-Zel'dovich (tSZ)
power spectrum amplitude and the halo mass and redshift of galaxy clusters in
South Pole Telescope (SPT) data, in comparison with three $N$-body simulations
combined with semi-analytical gas models of the intra-cluster medium.
Specifically, we cal... | http://arxiv.org/abs/2309.12475v3 |
We present measurements of the relation between X-ray luminosity and star
formation activity for a sample of normal galaxies spanning the redshift range
between 0 and 0.25. We use data acquired by SRG/eROSITA for the performance and
verification phase program called eROSITA Final Equatorial Depth Survey
(eFEDS). The eF... | http://arxiv.org/abs/2309.03578v1 |
The evaluation of a photon-pair source employs characteristic metrics like
the photon-pair generation rate, heralding efficiency, and second-order
correlation function, all of which are determined by the photon number
distribution of the source. The photon number distribution, however, can be
altered due to spectral or... | http://arxiv.org/abs/2309.04217v2 |
Rotary Position Embeddings (RoPE) have been shown to effectively encode
positional information in transformer-based language models. However, these
models fail to generalize past the sequence length they were trained on. We
present YaRN (Yet another RoPE extensioN method), a compute-efficient method to
extend the conte... | http://arxiv.org/abs/2309.00071v2 |
Scientific workflow has become essential in software engineering because it
provides a structured approach to designing, executing, and analyzing
scientific experiments. Software developers and researchers have developed
hundreds of scientific workflow management systems so scientists in various
domains can benefit fro... | http://arxiv.org/abs/2309.07291v1 |
When a detailed model of a stellar population is unavailable, it is most
common to assume that stellar masses are independently and identically
distributed according to some distribution: the universal initial mass function
(IMF). However, stellar masses resulting from causal, long-ranged physics
cannot be truly random... | http://arxiv.org/abs/2307.00052v3 |
Boundary layer flow over a realistic porous wall might contain both the
effects of wall-permeability and wall-roughness. These two effects are
typically examined in the context of a rough-wall flow, i.e., by defining a
``roughness'' length or equivalent to capture the effect of the surface on
momentum deficit/drag. In ... | http://arxiv.org/abs/2302.14821v1 |
In this work, we establish a direct connection between generative diffusion
models (DMs) and stochastic quantization (SQ). The DM is realized by
approximating the reversal of a stochastic process dictated by the Langevin
equation, generating samples from a prior distribution to effectively mimic the
target distribution... | http://arxiv.org/abs/2309.17082v2 |
Nickelate superconductors are outstanding materials with intriguing analogies
with the cuprates. These analogies suggest that their superconducting mechanism
may be unconventional, although this fundamental question is currently under
debate. Here, we scrutinize the role played by electronic correlations in
enhancing t... | http://arxiv.org/abs/2309.05486v2 |
Despite recent advances in Natural Language Processing (NLP), hierarchical
discourse parsing in the framework of Rhetorical Structure Theory remains
challenging, and our understanding of the reasons for this are as yet limited.
In this paper, we examine and model some of the factors associated with parsing
difficulties... | http://arxiv.org/abs/2309.04940v1 |
An analysis of contemporary Cosmology is presented, with the aim of
identifying the elements present in it according to the scientific program
structure created by I. Lakatos. We look at some modern controversies from this
point of view and clarify the meaning of issues related to them within this
context. | http://arxiv.org/abs/2309.15695v1 |
We present general relativistic magnetohydrodynamic simulations of merging
equal-mass, spinning black holes embedded in an equatorial thin slab of
magnetized gas. We evolve black holes either non-spinning, with spins aligned
to the orbital angular momentum, and with misaligned spins. The rest-mass
density of the gas sl... | http://arxiv.org/abs/2309.03949v2 |
XTE J1810-189 is a Low-Mass X-ray Binary transient system hosting a neutron
star, which underwent a three-month-long outburst in 2020. In order to study
its spectral evolution during this outburst, we analysed all the available
observations performed by NICER, in the 1-10 keV energy band. Firstly, we
fitted the spectra... | http://arxiv.org/abs/2309.06831v1 |
The continuum and discrete fractional nonlinear Schr\"odinger equations
(fDNLS) represent new models in nonlinear wave phenomena with unique
properties. In this paper, we focus on various aspects of localization
associated to fDNLS featuring modulational instability, asymptotic construction
of onsite and offsite soluti... | http://arxiv.org/abs/2309.11395v1 |
In experimental design, Neyman allocation refers to the practice of
allocating subjects into treated and control groups, potentially in unequal
numbers proportional to their respective standard deviations, with the
objective of minimizing the variance of the treatment effect estimator. This
widely recognized approach i... | http://arxiv.org/abs/2309.08808v2 |
We construct theories of free fermions in $(2n-1)$-dimensions with $SU(1,n)$
spacetime symmetry from the null reduction of fermions on a $2n$-dimensional
$\Omega$-deformed Minkowski background for $n=2$ and $n=3$. These play a role
in the 5d $SU(1,3)$-invariant theories that are conjectured to offer a full
description ... | http://arxiv.org/abs/2307.16624v2 |
This study presents a comparative analysis of three predictive models with an
increasing degree of flexibility: hidden dynamic geostatistical models (HDGM),
generalised additive mixed models (GAMM), and the random forest spatiotemporal
kriging models (RFSTK). These models are evaluated for their effectiveness in
predic... | http://arxiv.org/abs/2309.07285v1 |
In two-dimensional electronic systems, direct first-order phase transitions
are prohibited as a consequence of the long-range Coulomb interaction, which
implies a stiff energetic penalty for macroscopic phase separation. A prominent
proposal is that any direct first-order transition is instead replaced by a
sequence of... | http://arxiv.org/abs/2309.03961v2 |
Early detection and tracking of ejecta in the vicinity of small solar system
bodies is crucial to guarantee spacecraft safety and support scientific
observation. During the visit of active asteroid Bennu, the OSIRIS-REx
spacecraft relied on the analysis of images captured by onboard navigation
cameras to detect particl... | http://arxiv.org/abs/2309.06819v1 |
For most real-world applications, robots need to adapt and learn continually
with limited data in their environments. In this paper, we consider the problem
of Few-Shot class Incremental Learning (FSIL), in which an AI agent is required
to learn incrementally from a few data samples without forgetting the data it
has p... | http://arxiv.org/abs/2308.00199v1 |
Running live music recommendation studies without direct industry
partnerships can be a prohibitively daunting task, especially for small teams.
In order to help future researchers interested in such evaluations, we present
a number of struggles we faced in the process of generating our own such
evaluation system along... | http://arxiv.org/abs/2301.13388v1 |
The popularity of generative text AI tools in answering questions has led to
concerns regarding their potential negative impact on students' academic
performance and the challenges that educators face in evaluating student
learning. To address these concerns, this paper introduces an evolutionary
approach that aims to ... | http://arxiv.org/abs/2304.08176v1 |
Gestures are non-verbal but important behaviors accompanying people's speech.
While previous methods are able to generate speech rhythm-synchronized
gestures, the semantic context of the speech is generally lacking in the
gesticulations. Although semantic gestures do not occur very regularly in human
speech, they are i... | http://arxiv.org/abs/2309.09294v1 |
Blinding eye diseases are often correlated with altered retinal morphology,
which can be clinically identified by segmenting retinal structures in fundus
images. However, current methodologies often fall short in accurately
segmenting delicate vessels. Although deep learning has shown promise in
medical image segmentat... | http://arxiv.org/abs/2309.04968v1 |
In recent history, GPUs became a key driver of compute performance in HPC.
With the installation of the Frontier supercomputer, they became the enablers
of the Exascale era; further largest-scale installations are in progress
(Aurora, El Capitan, JUPITER). But the early-day dominance by NVIDIA and their
CUDA programmin... | http://arxiv.org/abs/2309.05445v3 |
Benchmarking, standards and certification are closely related processes.
Standards can provide normative requirements that robotics and AI systems may
or may not conform to. Certification generally relies upon conformance with one
or more standards as the key determinant of granting a certificate to operate.
And benchm... | http://arxiv.org/abs/2309.12139v1 |
Scripted dialogues such as movie and TV subtitles constitute a widespread
source of training data for conversational NLP models. However, there are
notable linguistic differences between these dialogues and spontaneous
interactions, especially regarding the occurrence of communicative feedback
such as backchannels, ack... | http://arxiv.org/abs/2309.15656v2 |
Weak-label learning is a challenging task that requires learning from data
"bags" containing positive and negative instances, but only the bag labels are
known. The pool of negative instances is usually larger than positive
instances, thus making selecting the most informative negative instance
critical for performance... | http://arxiv.org/abs/2309.13227v1 |
Condensed mathematics, developed by Clausen and Scholze over the last few
years, is a new way of studying the interplay between algebra and geometry. It
replaces the concept of a topological space by a more sophisticated but
better-behaved idea, namely that of a condensed set. Central to the theory are
solid abelian gr... | http://arxiv.org/abs/2309.07252v2 |
Virtual reality labs for hearing research are commonly designed to achieve
maximal acoustical accuracy of virtual environments. For a high immersion, 3D
video systems are applied, that ideally do not influence the acoustical
conditions. In labs with projection systems, the video screens have a
potentially strong influe... | http://arxiv.org/abs/2309.11430v2 |
Rare event prediction involves identifying and forecasting events with a low
probability using machine learning (ML) and data analysis. Due to the
imbalanced data distributions, where the frequency of common events vastly
outweighs that of rare events, it requires using specialized methods within
each step of the ML pi... | http://arxiv.org/abs/2309.11356v2 |
The general relativistic formulation of the problem of magnetically confined
mountains on neutron stars is presented, and the resulting equations are solved
numerically, generalising previous Newtonian calculations. The hydromagnetic
structure of the accreted matter and the subsequent magnetic burial of the
star's magn... | http://arxiv.org/abs/2309.09519v1 |
HEP data-processing frameworks are essential ingredients in getting from raw
data to physics results. But they are often tricky to use well, and they
present a significant learning barrier for the beginning HEP physicist. In
addition, existing frameworks typically support rigid, collider-based data
models, which do not... | http://arxiv.org/abs/2308.16710v1 |
The nonlinear Poisson-Boltzmann equation (NPBE) is an elliptic partial
differential equation used in applications such as protein interactions and
biophysical chemistry (among many others). It describes the nonlinear
electrostatic potential of charged bodies submerged in an ionic solution. The
kinetic presence of the s... | http://arxiv.org/abs/2309.16439v1 |
We prove the $C^{1,1}$-regularity for stationary $C^{1,\alpha}$
($\alpha\in(0,1)$) solutions to the multiple membrane problem. This regularity
estimate was essentially used in our recent work on Yau's four minimal spheres
conjecture. | http://arxiv.org/abs/2308.00172v2 |
We propose an optical clock based on narrow, spin-forbidden M1 and E2
transitions in laser-cooled neutral titanium. These transitions exhibit much
smaller black body radiation shifts than those in alkaline earth atoms, small
quadratic Zeeman shifts, and have wavelengths in the S, C, and L-bands of
fiber-optic telecommu... | http://arxiv.org/abs/2301.13363v1 |
Problems based on the structure of graphs -- for example finding cliques,
independent sets, or colourings -- are of fundamental importance in classical
complexity. It is well motivated to consider similar problems about quantum
graphs, which are an operator system generalisation of graphs. Defining
well-formulated deci... | http://arxiv.org/abs/2309.12887v1 |
We study a Markov decision problem in which the state space is the set of
finite marked point configurations in the plane, the actions represent
thinnings, the reward is proportional to the mark sum which is discounted over
time, and the transitions are governed by a birth-death-growth process. We show
that thinning po... | http://arxiv.org/abs/2309.03752v1 |
This paper explores the internal structure of two quantum mechanics datasets
(QM7b, QM9), composed of several thousands of organic molecules and described
in terms of electronic properties. Understanding the structure and
characteristics of this kind of data is important when predicting the atomic
composition from the ... | http://arxiv.org/abs/2309.15130v1 |
Metamorphic Testing (MT) addresses the test oracle problem by examining the
relationships between input-output pairs in consecutive executions of the
System Under Test (SUT). These relations, known as Metamorphic Relations (MRs),
specify the expected output changes resulting from specific input changes.
However, achiev... | http://arxiv.org/abs/2310.00338v1 |
We report precise measurement of the hyperfine splitting and calculation of
the Zeeman coefficients of the $^{171}$Yb$^+$ ground state. The absolute
hyperfine splitting frequency is measured using high-resolution laser-microwave
double-resonance spectroscopy at 0.1 mHz level, and evaluated using more
accurate Zeeman co... | http://arxiv.org/abs/2309.05323v1 |
In this study, we conduct a parametric analysis to evaluate the sensitivities
of wall-modeled large-eddy simulation (LES) with respect to subgrid-scale (SGS)
models, mesh resolution, wall boundary conditions and mesh anisotropy. While
such investigations have been conducted for attached/flat-plate flow
configurations, ... | http://arxiv.org/abs/2309.13555v2 |
The papers appraised the Nigeria Data Protection Regulation wit the aim of
exposing the institutional propositions contained in the regulation. The aim of
the paper is to address how the institutional propositions positions
organizations in Nigeria to implement data protections regulations. | http://arxiv.org/abs/2309.12893v1 |
Is Stochastic Gradient Descent (SGD) substantially different from Metropolis
Monte Carlo dynamics? This is a fundamental question at the time of
understanding the most used training algorithm in the field of Machine
Learning, but it received no answer until now. Here we show that in discrete
optimization and inference ... | http://arxiv.org/abs/2309.05337v2 |
The separation between the last closed flux surface of a plasma and the
external coils that magnetically confine it is a limiting factor in the
construction of fusion-capable plasma devices. This plasma-coil separation must
be large enough so that components such as a breeding blanket and neutron
shielding can fit betw... | http://arxiv.org/abs/2309.11342v1 |
Multi-label classification is a widely encountered problem in daily life,
where an instance can be associated with multiple classes. In theory, this is a
supervised learning method that requires a large amount of labeling. However,
annotating data is time-consuming and may be infeasible for huge labeling
spaces. In add... | http://arxiv.org/abs/2308.00166v1 |
As few-shot object detectors are often trained with abundant base samples and
fine-tuned on few-shot novel examples,the learned models are usually biased to
base classes and sensitive to the variance of novel examples. To address this
issue, we propose a meta-learning framework with two novel feature aggregation
scheme... | http://arxiv.org/abs/2301.13411v1 |
In this paper, we propose an empirical model for the VIX index. Our findings
indicate that the VIX has a long-term empirical distribution. To model its
dynamics, we utilize a continuous-time Markov process with a uniform
distribution as its invariant distribution and a suitable function $h$. We
determined that $h$ is t... | http://arxiv.org/abs/2309.08175v1 |
Silicon photonic wavefront phase-tilt sensors for wavefront monitoring using
surface coupling grating arrays are demonstrated. The first design employs the
intrinsic angle dependence of the grating coupling efficiency to determine
local wavefront tilt, with a measured sensitivity of 7 dB/degree. A second
design connect... | http://arxiv.org/abs/2309.11424v1 |
Deep learning based visual-linguistic multimodal models such as Contrastive
Language Image Pre-training (CLIP) have become increasingly popular recently
and are used within text-to-image generative models such as DALL-E and Stable
Diffusion. However, gender and other social biases have been uncovered in these
models, a... | http://arxiv.org/abs/2309.04997v1 |
Discovering genes with similar functions across diverse biomedical contexts
poses a significant challenge in gene representation learning due to data
heterogeneity. In this study, we resolve this problem by introducing a novel
model called Multimodal Similarity Learning Graph Neural Network, which
combines Multimodal M... | http://arxiv.org/abs/2310.02275v1 |
In the previous paper we showed that the wave functions of the quantum
Ruijsenaars hyperbolic system diagonalize Baxter Q-operators. Using this
property and duality relation we prove orthogonality and completeness relations
for the wave functions or, equivalently, unitarity of the corresponding
integral transform. | http://arxiv.org/abs/2307.16817v1 |
We complete the classification of the smooth, closed, oriented 4-manifolds
having Euler characteristic less than four and a horizontal handlebody
decomposition of genus one. We use the classification result to find a large
family of rational homology ball smoothings of cyclic quotient singularities
which can be smoothl... | http://arxiv.org/abs/2302.14606v2 |
An algebraic variety $X$ is called a homogeneous variety if the automorphism
group $\mathrm{Aut}(X)$ acts on $X$ transitively, and a homogeneous space if
there exists a transitive action of an algebraic group on $X$. We prove a
criterion of smoothness of a suspension to construct a wide class of
homogeneous varieties. ... | http://arxiv.org/abs/2309.06170v3 |
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