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We study varieties generated by semi-primal lattice-expansions by means of
category theory. We provide a new proof of the Keimel-Werner topological
duality for such varieties and, using similar methods, establish its discrete
version. We describe multiple adjunctions between the variety of Boolean
algebras and the vari... | http://arxiv.org/abs/2301.13406v2 |
The increase of renewables in the grid and the volatility of the load create
uncertainties in the day-ahead prices of electricity markets. Adaptive robust
optimization (ARO) and stochastic optimization have been used to make
commitment and dispatch decisions that adapt to the load and capacity
uncertainty. These approa... | http://arxiv.org/abs/2309.08162v1 |
The lack of annotated medical images limits the performance of deep learning
models, which usually need large-scale labelled datasets. Few-shot learning
techniques can reduce data scarcity issues and enhance medical image analysis,
especially with meta-learning. This systematic review gives a comprehensive
overview of ... | http://arxiv.org/abs/2309.11433v2 |
This study introduces a novel muscle activation analysis based on surface
electromyography (sEMG) signals to assess the muscle's after-fatigue condition.
Previous studies have mainly focused on the before-fatigue and fatigue
conditions. However, a comprehensive analysis of the after-fatigue condition
has been overlooke... | http://arxiv.org/abs/2309.04770v1 |
We study the equivariant cohomology of spherical perverse sheaves on the
affine Grassmannian of a connected reductive group $G$ with support in the
affine Grassmannian of any Levi subgroup $L$ of $G$. In doing so, we extend the
work of Ginzburg and Riche on the $T$-equivariant cofibers of spherical
perverse sheaves. We... | http://arxiv.org/abs/2309.07279v2 |
Prediction with the possibility of abstention (or selective prediction) is an
important problem for error-critical machine learning applications. While
well-studied in the classification setup, selective approaches to regression
are much less developed. In this work, we consider the nonparametric
heteroskedastic regres... | http://arxiv.org/abs/2309.16412v1 |
Multispectral imagery is frequently incorporated into agricultural tasks,
providing valuable support for applications such as image segmentation, crop
monitoring, field robotics, and yield estimation. From an image segmentation
perspective, multispectral cameras can provide rich spectral information,
helping with noise... | http://arxiv.org/abs/2308.00159v1 |
Human consciousness has been a long-lasting mystery for centuries, while
machine intelligence and consciousness is an arduous pursuit. Researchers have
developed diverse theories for interpreting the consciousness phenomenon in
human brains from different perspectives and levels. This paper surveys several
main branche... | http://arxiv.org/abs/2309.10063v1 |
Over the past two decades high energy-resolution inelastic proton scattering
studies were used to gain an understanding of the origin of fine structure
observed in the isoscalar giant quadrupole resonance (ISGQR) and the isovector
giant dipole resonance (IVGDR). Recently, the isoscalar giant monopole
resonance (ISGMR) ... | http://arxiv.org/abs/2309.04016v1 |
We propose an alternative method to extract the leading-order hadronic
contribution to the muon g-2, $a_{\mu}^\text{HLO}$, with the MUonE experiment.
In contrast to the traditional method based on the integral of the hadronic
contribution to the running of the effective fine-structure constant
$\Delta\alpha_{had}$ in t... | http://arxiv.org/abs/2309.14205v2 |
Large language models (LLMs) exhibit remarkable performance improvement
through in-context learning (ICL) by leveraging task-specific examples in the
input. However, the mechanisms behind this improvement remain elusive. In this
work, we investigate how LLM embeddings and attention representations change
following in-c... | http://arxiv.org/abs/2310.00313v4 |
This paper presents a novel framework to learn a concise geometric primitive
representation for 3D point clouds. Different from representing each type of
primitive individually, we focus on the challenging problem of how to achieve a
concise and uniform representation robustly. We employ quadrics to represent
diverse p... | http://arxiv.org/abs/2309.14211v1 |
Metallic states near the Mott insulator show a variety of quantum phases
including various magnetic, charge ordered states and high-temperature
superconductivity in various transition metal oxides and organic solids. The
emergence of a variety of phases and their competitions are likely intimately
associated with quant... | http://arxiv.org/abs/2302.14605v2 |
In this research, we introduce the concept of "computational entanglement," a
phenomenon observed in overparameterized feedforward linear networks that
enables the network to achieve zero loss by fitting random noise, even on
previously unseen test samples. Analyzing this behavior through spacetime
diagrams reveals its... | http://arxiv.org/abs/2309.15669v7 |
Business optimisation refers to the process of finding and implementing
efficient and cost-effective means of operation to bring a competitive
advantage for businesses. Synthesizing problem formulations is an integral part
of business optimisation, which relies on human expertise to construct problem
formulations using... | http://arxiv.org/abs/2309.13218v3 |
The growing need for video surveillance in public spaces has created a demand
for systems that can track individuals across multiple cameras feeds in
real-time. While existing tracking systems have achieved impressive performance
using deep learning models, they often rely on pre-existing images of suspects
or historic... | http://arxiv.org/abs/2309.13387v1 |
Biological synaptic transmission is unreliable, and this unreliability likely
degrades neural circuit performance. While there are biophysical mechanisms
that can increase reliability, for instance by increasing vesicle release
probability, these mechanisms cost energy. We examined four such mechanisms
along with the a... | http://arxiv.org/abs/2309.03194v4 |
Let $\mathcal{O}$ be a Dedekind domain whose field of fractions $K$ is a
global field. Let $A$ be a finite-dimensional separable $K$-algebra and let
$\Lambda$ be an $\mathcal{O}$-order in $A$. Let $n$ be a positive integer and
suppose that $X$ is a $\Lambda$-lattice such that $K \otimes_{\mathcal{O}} X$
is free of rank... | http://arxiv.org/abs/2306.17764v2 |
Universality and scaling laws are hallmarks of equilibrium phase transitions
and critical phenomena. However, extending these concepts to non-equilibrium
systems is an outstanding challenge. Despite recent progress in the study of
dynamical phases, the universality classes and scaling laws for non-equilibrium
phenomena... | http://arxiv.org/abs/2309.10856v1 |
Zero-shot translation (ZST), which is generally based on a multilingual
neural machine translation model, aims to translate between unseen language
pairs in training data. The common practice to guide the zero-shot language
mapping during inference is to deliberately insert the source and target
language IDs, e.g., <EN... | http://arxiv.org/abs/2309.16599v1 |
Iceberg melting is a critical factor for climate change, contributing to
rising sea levels and climate change. However, the shape of an iceberg is an
often neglected aspect of its melting process. Our study investigates the
influence of different ice shapes and ambient flow velocities on melt rates by
conducting direct... | http://arxiv.org/abs/2309.05283v1 |
Autonomous vehicles need to accomplish their tasks while interacting with
human drivers in traffic. It is thus crucial to equip autonomous vehicles with
artificial reasoning to better comprehend the intentions of the surrounding
traffic, thereby facilitating the accomplishments of the tasks. In this work,
we propose a ... | http://arxiv.org/abs/2310.20148v2 |
Adversarial nets have proved to be powerful in various domains including
generative modeling (GANs), transfer learning, and fairness. However,
successfully training adversarial nets using first-order methods remains a
major challenge. Typically, careful choices of the learning rates are needed to
maintain the delicate ... | http://arxiv.org/abs/2302.00089v1 |
Programming with versions is a paradigm that allows a program to use multiple
versions of a module so that the programmer can selectively use functions from
both older and newer versions of a single module. Previous work formalized
$\lambda_{\mathrm{VL}}$, a core calculus for programming with versions, but it
has not b... | http://arxiv.org/abs/2310.00298v1 |
Ultrafast laser driven, single-cycle THz pulsed sources hold immense
potential for scientific and industrial applications; however, their limited
average power hinders their widespread application. In particular, applications
where high repetition rates in the multi-MHz region and beyond are required are
more severely ... | http://arxiv.org/abs/2309.04189v2 |
Twin-width is a recently introduced graph parameter for finite graphs. It is
an open problem to determine whether there is an $n$-vertex graph having
twin-width at least $n/2$ (due to J. Ahn, K. Hendrey, D. Kim and S. Oum). In an
earlier paper, the author showed that such a graph with less than equal to 5
vertices does... | http://arxiv.org/abs/2309.05297v1 |
Motion prediction is crucial for autonomous driving systems to understand
complex driving scenarios and make informed decisions. However, this task is
challenging due to the diverse behaviors of traffic participants and complex
environmental contexts. In this paper, we propose Motion TRansformer (MTR)
frameworks to add... | http://arxiv.org/abs/2306.17770v2 |
We present V0LVER, an AMM protocol which solves an incentivization trilemma
between users, passive liquidity providers, and block producers. V0LVER enables
users and passive liquidity providers to interact without paying MEV or
incurring uncontrolled loss-versus-rebalancing to the block producer. V0LVER is
an AMM proto... | http://arxiv.org/abs/2301.13599v2 |
Accounting for inaccuracies in Monte Carlo simulations is a crucial step in
any high energy physics analysis. It becomes especially important when training
machine learning models, which can amplify simulation inaccuracies and
introduce large discrepancies and systematic uncertainties when the model is
applied to data.... | http://arxiv.org/abs/2309.15912v1 |
In this paper, we consider Szegedy's walk, a type of discrete time quantum
walk, and corresponding continuous time quantum walk related to the birth and
death chain. We show that the scaling limit of time averaged distribution for
the continuous time quantum walk induces that of Szegedy's walk if there exists
the spect... | http://arxiv.org/abs/2301.00283v1 |
In this paper we introduce a novel framework for trajectory prediction of
geospatial sequences using GraphTransformers. When viewed across several
sequences, we observed that a graph structure automatically emerges between
different geospatial points that is often not taken into account for such
sequence modeling tasks... | http://arxiv.org/abs/2310.20174v2 |
We study mathematical structures on the moduli spaces of BPS structures of
$\mathcal{N}=2$ theories. Guided by the realization of BPS structures within
type IIB string theory on non-compact Calabi-Yau threefolds, we develop a
notion of BPS variation of Hodge structure which gives rise to special K\"ahler
geometry as we... | http://arxiv.org/abs/2308.16854v1 |
Ultrafast light-matter interaction has emerged as a powerful tool to control
and probe the macroscopic properties of functional materials, especially
two-dimensional transition metal dichalcogenides which can form different
structural phases with distinct physical properties. However, it is often
difficult to accuratel... | http://arxiv.org/abs/2308.16840v2 |
Boolean function $F(x,y)$ for $x,y \in \{0,1\}^n$ is an XOR function if
$F(x,y)=f(x\oplus y)$ for some function $f$ on $n$ input bits, where $\oplus$
is a bit-wise XOR. XOR functions are relevant in communication complexity,
partially for allowing Fourier analytic technique. For total XOR functions it
is known that det... | http://arxiv.org/abs/2310.20606v2 |
Studying systems where many individual bodies in motion interact with one
another is a complex and interesting area. Simple mechanisms that may be
determined for biological, chemical, or physical reasons can lead to
astonishingly complex results that require a further understanding of the
moving bodies. With the increa... | http://arxiv.org/abs/2301.00297v1 |
Interacting spin-boson models encompass a large class of physical systems,
spanning models with a single spin interacting with a bosonic bath -- a
paradigm of quantum impurity problems -- to models with many spins interacting
with a cavity mode -- a paradigm of quantum optics. Such models have emerged in
various quantu... | http://arxiv.org/abs/2309.11553v1 |
Random trajectories of single particles in living cells contain information
about the interaction between particles, as well as, with the cellular
environment. However, precise consideration of the underlying stochastic
properties, beyond normal diffusion, remains a challenge as applied to each
particle trajectory sepa... | http://arxiv.org/abs/2310.03034v3 |
Recent developments in large language models (LLMs) have unlocked new
opportunities for healthcare, from information synthesis to clinical decision
support. These new LLMs are not just capable of modeling language, but can also
act as intelligent "agents" that interact with stakeholders in open-ended
conversations and ... | http://arxiv.org/abs/2309.10895v1 |
Large Language Models (LLMs) are advancing at a rapid pace, with significant
improvements at natural language processing and coding tasks. Yet, their
ability to work with formal languages representing data, specifically within
the realm of knowledge graph engineering, remains under-investigated. To
evaluate the profici... | http://arxiv.org/abs/2309.17122v1 |
We study the (variable-length) codes of the form X u {a^n}, where X c a*wa*
and |X| = n. We extend various notions and results from factorizations of
cyclic groups theory to this type of codes. In particular, when n is the
product of at most three primes or has the form pq^k (with p and q prime), we
prove that they are... | http://arxiv.org/abs/2301.13566v1 |
Hardware-firmware co-verification is critical to design trustworthy systems.
While formal methods can provide verification guarantees, due to the complexity
of firmware and hardware, it can lead to state space explosion. There are
promising avenues to reduce the state space during firmware verification
through manual a... | http://arxiv.org/abs/2309.08002v2 |
Dynamics of flames stabilized downstream of different shape bluff-bodies
(cylindrical, square, star) with different wall topologies (flat, wavy) is
investigated using large-eddy simulations (LES). A two-stage computational
procedure involving the ANSYS software and an in-house academic high-order code
is combined to mo... | http://arxiv.org/abs/2309.13344v1 |
In this work, we describe the dynamics of a Bose-Einstein condensate
interacting with a degenerate Fermi gas, at zero temperature. First, we analyze
the mean-field approximation of the many-body Schr\"odinger dynamics and prove
emergence of a coupled Hartree-type system of equations. We obtain rigorous
error control th... | http://arxiv.org/abs/2309.04638v2 |
We develop a coupled-cluster theory for bosonic mixtures of binary species in
external traps, providing a promising theoretical approach to demonstrate
highly accurately the many-body physics of mixtures of Bose-Einstein
condensates. The coupled-cluster wavefunction for the binary species is
obtained when an exponentia... | http://arxiv.org/abs/2309.05240v2 |
Motivation: We explored how explainable artificial intelligence (XAI) can
help to shed light into the inner workings of neural networks for protein
function prediction, by extending the widely used XAI method of integrated
gradients such that latent representations inside of transformer models, which
were finetuned to ... | http://arxiv.org/abs/2309.03631v2 |
Circular Dyson Brownian motion describes the Brownian dynamics of particles
on a circle (periodic boundary conditions), interacting through a logarithmic,
long-range two-body potential. Within the log-gas picture of random matrix
theory, it describes the level dynamics of unitary ("circular") matrices. A
common scenari... | http://arxiv.org/abs/2309.07457v2 |
Language models contain ranking-based knowledge and are powerful solvers of
in-context ranking tasks. For instance, they may have parametric knowledge
about the ordering of countries by size or may be able to rank product reviews
by sentiment. We compare pairwise, pointwise and listwise prompting techniques
to elicit a... | http://arxiv.org/abs/2309.06991v2 |
Inspired by the problem of biofilm growth, we numerically investigate
clustering in a two-dimensional suspension of active (Janus) particles of
finite size confined in a circular cavity. Their dynamics is regulated by a
non-reciprocal mechanism that causes them to switch from active to passive
above a certain threshold... | http://arxiv.org/abs/2309.06749v1 |
Control design for general nonlinear robotic systems with guaranteed
stability and/or safety in the presence of model uncertainties is a challenging
problem. Recent efforts attempt to learn a controller and a certificate (e.g.,
a Lyapunov function or a contraction metric) jointly using neural networks
(NNs), in which m... | http://arxiv.org/abs/2309.07443v2 |
In order for a bimanual robot to manipulate an object that is held by both
hands, it must construct motion plans such that the transformation between its
end effectors remains fixed. This amounts to complicated nonlinear equality
constraints in the configuration space, which are difficult for trajectory
optimizers. In ... | http://arxiv.org/abs/2309.08770v2 |
We study how the complexity of the graph colouring problems star colouring
and restricted star colouring vary with the maximum degree of the graph.
Restricted star colouring (in short, rs colouring) is a variant of star
colouring. For $k\in \mathbb{N}$, a $k$-colouring of a graph $G$ is a function
$f\colon V(G)\to \mat... | http://arxiv.org/abs/2309.11221v1 |
We report on the dependence of curvilinear shaped coplanar waveguides on the
near-field diffraction patterns of spin waves propagating in perpendicularly
magnetized thin films. Implementing the propagating spin waves spectroscopy
techniques on either concentrically or eccentrically shaped antennas, we show
how the link... | http://arxiv.org/abs/2309.05532v1 |
Automated program repair (APR) aims to fix software bugs without human
intervention and template-based APR has been widely investigated with promising
results. However, it is challenging for template-based APR to select the
appropriate donor code, which is an important repair ingredient for generating
candidate patches... | http://arxiv.org/abs/2309.09308v1 |
Nanorobotics offers an emerging frontier in biomedicine, holding the
potential to revolutionize diagnostic and therapeutic applications through its
unique capabilities in manipulating biological systems at the nanoscale.
Following PRISMA guidelines, a comprehensive literature search was conducted
using IEEE Xplore and ... | http://arxiv.org/abs/2309.10881v1 |
In recent years, van der Waals (vdW) heterostructures and homostructures,
which consist of stacks of two-dimensional (2D) materials, have risen to
prominence due to their association with exotic quantum phenomena. Atomistic
scale relaxation effects play an extremely important role in the electronic
scale quantum physic... | http://arxiv.org/abs/2309.07325v1 |
Pilot contamination is a critical issue in distributed massive MIMO networks,
where the reuse of pilot sequences due to limited availability of orthogonal
pilots for channel estimation leads to performance degradation. In this work,
we propose a novel distributed pilot assignment scheme to effectively mitigate
the impa... | http://arxiv.org/abs/2309.15709v3 |
Quantifying the dependence between high-dimensional random variables is
central to statistical learning and inference. Two classical methods are
canonical correlation analysis (CCA), which identifies maximally correlated
projected versions of the original variables, and Shannon's mutual information,
which is a universa... | http://arxiv.org/abs/2309.16200v1 |
In this paper, we propose a novel framework for designing a fast convergent
multi-agent reinforcement learning (MARL)-based medium access control (MAC)
protocol operating in a single cell scenario. The user equipments (UEs) are
cast as learning agents that need to learn a proper signaling policy to
coordinate the trans... | http://arxiv.org/abs/2302.14765v1 |
In this paper, we introduce an improved version of the fifth-order weighted
essentially non-oscillatory (WENO) shock-capturing scheme by incorporating deep
learning techniques. The established WENO algorithm is improved by training a
compact neural network to adjust the smoothness indicators within the WENO
scheme. Thi... | http://arxiv.org/abs/2309.10117v1 |
Upcoming experiments will improve the reach for the lepton flavour violating
(LFV) processes $\mu \to e \gamma$, $\mu \to e \bar{e} e$ and $\mu A \to e A$
by orders of magnitude. We investigate whether this upcoming data could rule
out some popular TeV-scale LFV models (the type II seesaw, the inverse seesaw
and a scal... | http://arxiv.org/abs/2308.16897v2 |
High degree of fluorination for ether electrolytes has resulted in improved
cycling stability of lithium metal batteries (LMBs) due to stable SEI formation
and good oxidative stability. However, the sluggish ion transport and
environmental concerns of high fluorination degree drives the need to develop
less fluorinated... | http://arxiv.org/abs/2305.19580v1 |
Manipulation of decoupled Majorana zero modes (MZMs) could enable
topologically-protected quantum computing. However, the practical realization
of a large number of perfectly decoupled MZMs needed to perform nontrivial
quantum computation has proven to be challenging so far. Fortunately, even a
small number of imperfec... | http://arxiv.org/abs/2309.08758v1 |
It is well-known that at the high Reynolds number, the linearized
Navier-Stokes equations around the inviscid stable shear profile admit growing
mode solutions due to the destabilizing effect of the viscosity. This
phenomenon, called Tollmien-Schlichting instability, has been rigorously
justified by Grenier-Guo-Nguyen ... | http://arxiv.org/abs/2309.06775v1 |
X-ray computed tomography (XCT) is an important tool for high-resolution
non-destructive characterization of additively-manufactured metal components.
XCT reconstructions of metal components may have beam hardening artifacts such
as cupping and streaking which makes reliable detection of flaws and defects
challenging. ... | http://arxiv.org/abs/2309.14371v1 |
Speech Emotion Recognition (SER) plays a pivotal role in enhancing
human-computer interaction by enabling a deeper understanding of emotional
states across a wide range of applications, contributing to more empathetic and
effective communication. This study proposes an innovative approach that
integrates self-supervise... | http://arxiv.org/abs/2309.12714v1 |
This paper addresses the challenge of safe navigation for rigid-body mobile
robots in dynamic environments. We introduce an analytic approach to compute
the distance between a polygon and an ellipse, and employ it to construct a
control barrier function (CBF) for safe control synthesis. Existing CBF design
methods for ... | http://arxiv.org/abs/2310.00273v2 |
Self-supervised learning (SSL) has emerged as a promising paradigm for
learning flexible speech representations from unlabeled data. By designing
pretext tasks that exploit statistical regularities, SSL models can capture
useful representations that are transferable to downstream tasks. This study
provides an empirical... | http://arxiv.org/abs/2309.03619v2 |
In this paper, we produce explicit examples of mean curvature flow of
(2m-1)-dimensional submanifolds which converge to (2m-2)-dimensional
submanifolds at a finite time. These examples are a special class of
hyperspheres in $\mathbb{C}^{m}$ with a $U(m)$-invariant K\"ahler metrics. We
first discuss the mean curvature f... | http://arxiv.org/abs/2309.04176v1 |
We extend the behaviour of generic sample-based motion planners to support
obstacle avoidance during long-range path following by introducing a new
edge-cost metric paired with a curvilinear planning space. The resulting
planner generates naturally smooth paths that avoid local obstacles while
minimizing lateral path d... | http://arxiv.org/abs/2309.09334v1 |
The allreduce operation is an essential building block for many distributed
applications, ranging from the training of deep learning models to scientific
computing. In an allreduce operation, data from multiple hosts is aggregated
together and then broadcasted to each host participating in the operation.
Allreduce perf... | http://arxiv.org/abs/2309.16214v1 |
Depth perception models are typically trained on non-interactive datasets
with predefined camera trajectories. However, this often introduces systematic
biases into the learning process correlated to specific camera paths chosen
during data acquisition. In this paper, we investigate the role of how data is
collected fo... | http://arxiv.org/abs/2310.06164v1 |
Depression is a leading cause of death worldwide, and the diagnosis of
depression is nontrivial. Multimodal learning is a popular solution for
automatic diagnosis of depression, and the existing works suffer two main
drawbacks: 1) the high-order interactions between different modalities can not
be well exploited; and 2... | http://arxiv.org/abs/2301.00254v1 |
Accretion luminosity of young star FU Ori increased from undetectable levels
to hundreds of Solar luminosities in 1937 and remains nearly as high at the
present time. In a recent paper we showed how Extreme Evaporation (EE) of a
young gas giant planet that migrated to a 10 day orbit around the star may
power FU Ori. Ho... | http://arxiv.org/abs/2309.12072v1 |
Ubiquitous sensing from wearable devices in the wild holds promise for
enhancing human well-being, from diagnosing clinical conditions and measuring
stress to building adaptive health promoting scaffolds. But the large volumes
of data therein across heterogeneous contexts pose challenges for conventional
supervised lea... | http://arxiv.org/abs/2309.15292v1 |
In the past two decades, one of the fascinating subjects in quantum physics
has been quantum bits (qubits). Thanks to the superposition principle, the
qubits can perform many calculations simultaneously, which will significantly
increase the speed and capacity of the calculations. The time when a qubit
lives in an exci... | http://arxiv.org/abs/2309.05081v1 |
Interactions between photons (nonlinearities) enable a powerful form of
control over the state of light. This control has enabled technologies such as
light sources at new wavelengths, ultra-short optical pulses, frequency-comb
metrology systems, even quantum light sources. Common to a wide variety of
nonlinear optical... | http://arxiv.org/abs/2309.09863v1 |
Quantum thermal machines can generate steady-state entanglement by harvesting
spontaneous interactions with local environments. However, using minimal
resources and control, the entanglement is typically very noisy. Here, we study
entanglement generation in a two-qubit quantum thermal machine in the presence
of a conti... | http://arxiv.org/abs/2309.07696v1 |
Our community has a deep and sophisticated understanding of phase transitions
and their universal scaling functions. We outline and advocate an ambitious
program to use this understanding as an anchor for describing the surrounding
phases. We explain how to use normal form theory to write universal scaling
functions in... | http://arxiv.org/abs/2304.00105v2 |
The Sunrise Chromospheric Infrared spectroPolarimeter (SCIP) has been
developed for the third flight of the SUNRISE balloon-borne stratospheric solar
observatory. The aim of SCIP is to reveal the evolution of three-dimensional
magnetic fields in the solar photosphere and chromosphere using
spectropolarimetric measureme... | http://arxiv.org/abs/2307.16551v1 |
When we apply comparative phylogenetic analyses to genome data, it is a
well-known problem and challenge that some of given species (or taxa) often
have missing genes. In such a case, we have to impute a missing part of a gene
tree from a sample of gene trees. In this short paper we propose a novel method
to infer a mi... | http://arxiv.org/abs/2306.17566v2 |
Context. Most stars from in groups which with time disperse, building the
field population of their host galaxy. In the Milky Way, open clusters have
been continuously forming in the disk up to the present time, providing it with
stars spanning a broad range of ages and masses. Observations of the details of
cluster di... | http://arxiv.org/abs/2309.03396v1 |
This paper presents the first approach to visualize the importance of
topological features that define classes of data. Topological features, with
their ability to abstract the fundamental structure of complex data, are an
integral component of visualization and analysis pipelines. Although not all
topological features... | http://arxiv.org/abs/2309.13185v1 |
In this survey paper the ultrahyperbolic equation in dimension four is
discussed from a geometric, analytic and topological point of view. The
geometry centres on the canonical neutral metric on the space of oriented
geodesics of 3-dimensional space-forms, the analysis discusses a mean value
theorem for solutions of th... | http://arxiv.org/abs/2309.14826v1 |
We study the phase transition phenomenon inherent in the shuffled (permuted)
regression problem, which has found numerous applications in databases,
privacy, data analysis, etc. In this study, we aim to precisely identify the
locations of the phase transition points by leveraging techniques from message
passing (MP). I... | http://arxiv.org/abs/2310.20438v1 |
Understanding how machine learning models respond to distributional shifts is
a key research challenge. Mazes serve as an excellent testbed due to varied
generation algorithms offering a nuanced platform to simulate both subtle and
pronounced distributional shifts. To enable systematic investigations of model
behavior ... | http://arxiv.org/abs/2309.10498v2 |
User-generated texts available on the web and social platforms are often long
and semantically challenging, making them difficult to annotate. Obtaining
human annotation becomes increasingly difficult as problem domains become more
specialized. For example, many health NLP problems require domain experts to be
a part o... | http://arxiv.org/abs/2309.09877v1 |
Audio question answering (AQA) is the task of producing natural language
answers when a system is provided with audio and natural language questions. In
this paper, we propose neural network architectures based on self-attention and
cross-attention for the AQA task. The self-attention layers extract powerful
audio and ... | http://arxiv.org/abs/2305.19769v1 |
Given a set of $n$ vectors in $\mathbb{R}^d$, the goal of the
\emph{determinant maximization} problem is to pick $k$ vectors with the maximum
volume. Determinant maximization is the MAP-inference task for determinantal
point processes (DPP) and has recently received considerable attention for
modeling diversity. As mos... | http://arxiv.org/abs/2309.15286v1 |
We present a novel end-to-end identity-agnostic face reenactment system,
MaskRenderer, that can generate realistic, high fidelity frames in real-time.
Although recent face reenactment works have shown promising results, there are
still significant challenges such as identity leakage and imitating mouth
movements, espec... | http://arxiv.org/abs/2309.05095v1 |
Working memory is a critical aspect of both human intelligence and artificial
intelligence, serving as a workspace for the temporary storage and manipulation
of information. In this paper, we systematically assess the working memory
capacity of ChatGPT, a large language model developed by OpenAI, by examining
its perfo... | http://arxiv.org/abs/2305.03731v4 |
Background: With the ever-increasing amount of medical imaging data, the
demand for algorithms to assist clinicians has amplified. Unsupervised anomaly
detection (UAD) models promise to aid in the crucial first step of disease
detection. While previous studies have thoroughly explored fairness in
supervised models in h... | http://arxiv.org/abs/2309.14198v1 |
In recent years, much work has been done to measure and compare the
complexity of orbit equivalence relations, especially for certain classes of
Polish groups. We start by introducing some language to organize this previous
work, namely the notion of classification strength of Polish groups. Broadly
speaking, a Polish ... | http://arxiv.org/abs/2304.00139v1 |
Molecular outflows are believed to be a key ingredient in the process of star
formation. The molecular outflow associated with DR21 Main in Cygnus-X is one
of the most extreme, in mass and size, molecular outflows in the Milky Way. The
outflow is suggested to belong to a rare class of explosive outflows which are
forme... | http://arxiv.org/abs/2309.09687v1 |
We propose Beam Tree Recursive Cell (BT-Cell) - a backpropagation-friendly
framework to extend Recursive Neural Networks (RvNNs) with beam search for
latent structure induction. We further extend this framework by proposing a
relaxation of the hard top-k operators in beam search for better propagation of
gradient signa... | http://arxiv.org/abs/2305.19999v3 |
The quotient space of a $K3$ surface by a finite group is an Enriques surface
or a rational surface if it is smooth. Finite groups where the quotient space
are Enriques surfaces are known. In this paper, by analyzing effective divisors
on smooth rational surfaces, we will study finite groups which act faithfully
on $K3... | http://arxiv.org/abs/2301.00081v1 |
In many real-world applications, safety constraints for reinforcement
learning (RL) algorithms are either unknown or not explicitly defined. We
propose a framework that concurrently learns safety constraints and optimal RL
policies in such environments, supported by theoretical guarantees. Our
approach merges a logical... | http://arxiv.org/abs/2305.00576v1 |
Previous methods for predicting room acoustic parameters and speech quality
metrics have focused on the single-channel case, where room acoustics and Mean
Opinion Score (MOS) are predicted for a single recording device. However,
quality-based device selection for rooms with multiple recording devices may
benefit from a... | http://arxiv.org/abs/2309.11976v2 |
We prove sharp $L^p$ estimates for the Steklov eigenfunctions on compact
manifolds with boundary in terms of their $L^2$ norms on the boundary. We prove
it by establishing $L^p$ bounds for the harmonic extension operators as well as
the spectral projection operators on the boundary. Moreover, we derive lower
bounds on ... | http://arxiv.org/abs/2301.00095v1 |
Let $f=(f_0,f_1,\dots, f_{\nu-1})$ be a collection of one-to-one functions
from some space~$X$ into itself such that the sets $f_j(X)$ are disjoint. If
$w=w_1w_2\cdots w_k$ is a word on the alphabet $\{0,1,\dots,\nu-1\}$, let
$\Phi_{f,w} = f_{w_1}\circ f_{w_2}\circ\cdots\circ f_{w_k}$. Given a
function~$F$ of which we ... | http://arxiv.org/abs/2309.05917v1 |
Neutrino oscillation phenomenon is a definite evidence of physics beyond the
Standard Model (SM) and high precision measurement of neutrino properties will
certainly give us clue about what lies beyond the SM. In particular, precise
measurements of the mixing matrix elements $U_{\alpha i}$ which relate the
neutrino fla... | http://arxiv.org/abs/2305.19755v1 |
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