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Online conversations are particularly susceptible to derailment, which can
manifest itself in the form of toxic communication patterns like disrespectful
comments or verbal abuse. Forecasting conversation derailment predicts signs of
derailment in advance enabling proactive moderation of conversations. Current
state-of... | http://arxiv.org/abs/2306.12982v1 |
While large neural-based conversational models have become increasingly
proficient dialogue agents, recent work has highlighted safety issues with
these systems. For example, these systems can be goaded into generating toxic
content, which often perpetuates social biases or stereotypes. We investigate a
retrieval-based... | http://arxiv.org/abs/2302.00871v3 |
This paper focuses on over-parameterized deep neural networks (DNNs) with
ReLU activation functions and proves that when the data distribution is
well-separated, DNNs can achieve Bayes-optimal test error for classification
while obtaining (nearly) zero-training error under the lazy training regime.
For this purpose, we... | http://arxiv.org/abs/2305.19377v1 |
In Starobinsky inflation with a Weyl squared Lagrangian $-\alpha C^2$, where
$\alpha$ is a coupling constant, we study the linear stability of cosmological
perturbations on a spatially flat Friedmann-Lema\^{i}tre-Robertson-Walker
background. In this theory, there are two dynamical vector modes propagating as
ghosts for... | http://arxiv.org/abs/2309.01835v2 |
Roaming has been proposed as a possible mechanism contributing to molecular
dissociation in which the fragments can move around one another at relatively
large intermolecular distances before separating entirely. While roaming, there
is sufficient time for other processes to occur, which can lead to the
formation of ne... | http://arxiv.org/abs/2303.04916v2 |
In this paper we investigate analytically and numerically the nonlinear
Kelvin lattice, namely a chain of masses and nonlinear springs, as in the
alpha-Fermi-Pasta-Ulam-Tsingou (FPUT) chain, where, in addition, each mass is
connected to a nonlinear resonator, i.e., a second mass free to oscillate. Both
nonlinearities a... | http://arxiv.org/abs/2310.02287v1 |
Quadruped animals seamlessly transition between gaits as they change
locomotion speeds. While the most widely accepted explanation for gait
transitions is energy efficiency, there is no clear consensus on the
determining factor, nor on the potential effects from terrain properties. In
this article, we propose that viab... | http://arxiv.org/abs/2306.07419v2 |
For the most popular x-vector-based approaches to speaker anonymisation, the
bulk of the anonymisation can stem from vocoding rather than from the core
anonymisation function which is used to substitute an original speaker x-vector
with that of a fictitious pseudo-speaker. This phenomenon can impede the design
of bette... | http://arxiv.org/abs/2307.08403v1 |
We present a quantum transport theory for hybrid superconducting systems
based on our exact master equation approach. The total transient transport
current is decomposed into components that describe coherent transports through
different paths of particle and hole channels. We show that the coherent
transports are resu... | http://arxiv.org/abs/2304.11402v3 |
In this paper, we introduce a novel open source toolbox for design
optimization in Soft Robotics. We consider that design optimization is an
important trend in Soft Robotics that is changing the way in which designs will
be shared and adopted. We evaluate this toolbox on the example of a
cable-driven, sensorized soft f... | http://arxiv.org/abs/2304.07260v2 |
The Generative Pre-trained Transformer (GPT) represents a notable
breakthrough in the domain of natural language processing, which is propelling
us toward the development of machines that can understand and communicate using
language in a manner that closely resembles that of humans. GPT is based on the
transformer arc... | http://arxiv.org/abs/2305.10435v2 |
Decades of progress in energy-efficient and low-power design have
successfully reduced the operational carbon footprint in the semiconductor
industry. However, this has led to an increase in embodied emissions,
encompassing carbon emissions arising from design, manufacturing, packaging,
and other infrastructural activi... | http://arxiv.org/abs/2306.09434v3 |
We consider planets composed of water ice and rock, located far from a
central star. In an earlier study, computing the growth of planets by
continuous accretion, we found that a large fraction of the ice evaporates upon
accretion, creating a water vapor atmosphere. Here we consider accretion as a
discrete series of pl... | http://arxiv.org/abs/2302.05921v1 |
This paper concerns the existence of global weak solutions {\it \`a la Leray}
for compressible Navier--Stokes--Fourier systems with periodic boundary
conditions and the truncated virial pressure law which is assumed to be
thermodynamically unstable. More precisely, the main novelty is that the
pressure law is not assum... | http://arxiv.org/abs/2305.07149v1 |
Upcoming neutrino telescopes promise a new window onto the interactions of
neutrinos with matter at ultrahigh energies ($E_\nu = 10^7$-$10^{10}$ GeV), and
the possibility to detect deviations from the Standard Model predictions. In
this paper, we update previous predictions for the enhancement of the
neutrino-nucleon c... | http://arxiv.org/abs/2307.11152v2 |
Let $F(n,k)$ be a hypergeometric function that may be expressed so that $n$
appears within initial arguments of inverted Pochhammer symbols, as in factors
of the form $\frac{1}{(n)_{k}}$. Only in exceptional cases is $F(n, k)$ such
that Zeilberger's algorithm produces a two-term recursion for $\sum_{k =
0}^{\infty} F(n... | http://arxiv.org/abs/2305.00626v2 |
A graph parameter is self-dual in some class of graphs embeddable in some
surface if its value does not change in the dual graph by more than a constant
factor. We prove that the branchwidth of connected hypergraphs without bridges
and loops that are embeddable in some surface of Euler genus at most g is an
(1,g)-self-... | http://arxiv.org/abs/2305.18069v2 |
This article shows how to develop an efficient solver for a stabilized
numerical space-time formulation of the advection-dominated diffusion transient
equation. At the discrete space-time level, we approximate the solution by
using higher-order continuous B-spline basis functions in its spatial and
temporal dimensions.... | http://arxiv.org/abs/2306.16514v1 |
In this paper, we present a dataset for the computational study of a number
of Modern Greek dialects. It consists of raw text data from four dialects of
Modern Greek, Cretan, Pontic, Northern Greek and Cypriot Greek. The dataset is
of considerable size, albeit imbalanced, and presents the first attempt to
create large ... | http://arxiv.org/abs/2308.00802v3 |
IoT devices are sorely underutilized in the medical field, especially within
machine learning for medicine, yet they offer unrivaled benefits. IoT devices
are low-cost, energy-efficient, small and intelligent devices. In this paper,
we propose a distributed federated learning framework for IoT devices, more
specificall... | http://arxiv.org/abs/2304.03006v1 |
We study how to perform unlearning, i.e. forgetting undesirable misbehaviors,
on large language models (LLMs). We show at least three scenarios of aligning
LLMs with human preferences can benefit from unlearning: (1) removing harmful
responses, (2) erasing copyright-protected content as requested, and (3)
reducing hall... | http://arxiv.org/abs/2310.10683v2 |
Learning causal structure among event types from discrete-time event
sequences is a particularly important but challenging task. Existing methods,
such as the multivariate Hawkes processes based methods, mostly boil down to
learning the so-called Granger causality which assumes that the cause event
happens strictly pri... | http://arxiv.org/abs/2305.05986v1 |
We define Chern numbers of a matroid. These numbers are obtained when
intersecting appropriate matroid Chern-Schwartz-MacPherson cycles defined by
L\'opez de Medrano, Rinc\'on, and Shaw. We prove that when a matroid arises
from a complex hyperplane arrangement the Chern numbers of the matroid
correspond to the Chern nu... | http://arxiv.org/abs/2310.01956v3 |
We present LLM-Blender, an ensembling framework designed to attain
consistently superior performance by leveraging the diverse strengths of
multiple open-source large language models (LLMs). Our framework consists of
two modules: PairRanker and GenFuser, addressing the observation that optimal
LLMs for different exampl... | http://arxiv.org/abs/2306.02561v3 |
Functionality is a graph complexity measure that extends a variety of
parameters, such as vertex degree, degeneracy, clique-width, or twin-width. In
the present paper, we show that functionality is bounded for box intersection
graphs in $\mathbb{R}^1$, i.e. for interval graphs, and unbounded for box
intersection graphs... | http://arxiv.org/abs/2301.09493v2 |
High-Dimensional and Incomplete matrices, which usually contain a large
amount of valuable latent information, can be well represented by a Latent
Factor Analysis model. The performance of an LFA model heavily rely on its
optimization process. Thereby, some prior studies employ the Particle Swarm
Optimization to enhanc... | http://arxiv.org/abs/2302.11954v1 |
Disorder-free localization (DFL) is an ergodicity breaking mechanism that has
been shown to occur in lattice gauge theories in the quench dynamics of initial
states spanning an extensive number of gauge superselection sectors. Whether
DFL is intrinsically a quantum interference effect or can arise classically has
hithe... | http://arxiv.org/abs/2302.00681v1 |
We develop a new method for high-precision tomography of ion qubit registers
under conditions of limited distinguishability of its logical states. It is not
always possible to achieve low error rates during the readout of the quantum
states of ion qubits due to the finite lifetime of excited levels, photon
scattering, ... | http://arxiv.org/abs/2307.02890v1 |
In this paper, we explore the relationship between the chamber decomposition
for K-semistable domains and VGIT. We also study the relationship between the
K-moduli generically parametrizing K-semistable Fano complete intersections of
the form $S_{d_1}\cap...\cap S_{d_k}$ and the K-moduli generically
parametrizing K-sem... | http://arxiv.org/abs/2303.10963v3 |
In this work, we extend our recently developed super-resolution (SR) model
for cosmological simulations to produce fully time consistent evolving
representations of the particle phase-space distribution. We employ a
style-based constrained generative adversarial network (Style-GAN) where the
changing cosmic time is an ... | http://arxiv.org/abs/2305.12222v1 |
We perform a Bayesian analysis of NANOGrav 15yr and IPTA DR2 pulsar timing
residuals and show that the recently detected stochastic gravitational-wave
background (SGWB) is compatible with a SGWB produced by bubble dynamics during
a cosmological first-order phase transition. The timing data suggests that the
phase trans... | http://arxiv.org/abs/2307.04239v2 |
4chan is a popular online imageboard which has been widely studied due to an
observed concentration of far-right, antisemitic, racist, misogynistic, and
otherwise hateful material being posted to the site, as well as the emergence
of political movements and the evolution of memes which are posted there,
discussed in Se... | http://arxiv.org/abs/2307.03556v1 |
In this paper we study some results on common fixed points of families of
mappings on metric spaces by imposing orbit Lipschitzian conditions on them.
These orbit Lipschitzian conditions are weaker than asking the mappings to be
Lipschitzian in the traditional way. We provide new results under the two
classic approache... | http://arxiv.org/abs/2306.14303v1 |
We describe a general method for constructing Heisenberg uniqueness pairs
$(\Gamma,\Lambda)$ in the euclidean space $\mathbb{R}^{n}$ based on the study
of boundary value problems for partial differential equations. As a result, we
show, for instance, that any pair made of the boundary $\Gamma$ of a bounded
convex set $... | http://arxiv.org/abs/2304.02318v1 |
Modern Natural Language Generation (NLG) models come with massive
computational and storage requirements. In this work, we study the potential of
compressing them, which is crucial for real-world applications serving millions
of users. We focus on Knowledge Distillation (KD) techniques, in which a small
student model l... | http://arxiv.org/abs/2305.02031v2 |
We consider surfaces with a double elliptic fibration, with two sections. We
study the orbits under the induced translation automorphisms proving that,
under natural conditions, the finite orbits are confined to a curve. This goes
in a similar direction of (and is motivated by) recent work by Cantat-Dujardin,
although ... | http://arxiv.org/abs/2302.00859v2 |
The FIDO2 protocol aims to strengthen or replace password authentication
using public-key cryptography. FIDO2 has primarily focused on defending against
attacks from afar by remote attackers that compromise a password or attempt to
phish the user. In this paper, we explore threats from local attacks on FIDO2
that have ... | http://arxiv.org/abs/2308.02973v1 |
Enhanced stabilisation of protein structures via the presence of inert
excipients is a key mechanism adopted both by physiological systems and in
biotechnological applications. While the intrinsic stability of proteins is
ultimately fixed by their amino acid composition and organisation, the
interactions between excipi... | http://arxiv.org/abs/2305.05038v1 |
We consider the question of determining the probability of triangle count
deviations in the Erd\H{o}s-R\'enyi random graphs $G(n,m)$ and $G(n,p)$ with
densities larger than $n^{-1/2}(\log{n})^{1/2}$. In particular, we determine
the log probability $\log\mathbb{P}(N_{\triangle}(G)\, >\, (1+\delta)p^3n^3)$
up to a consta... | http://arxiv.org/abs/2305.04326v1 |
We study an autonomous model of a Maxwell demon that works by rectifying
thermal fluctuations of chemical reactions. It constitutes the chemical analog
of a recently studied electronic demon. We characterize its scaling behavior in
the macroscopic limit, its performances, and the impact of potential internal
delays. We... | http://arxiv.org/abs/2307.14994v3 |
The rapid spread of fake news is a serious problem calling for AI solutions.
We employ a deep learning based automated detector through a three level
hierarchical attention network (3HAN) for fast, accurate detection of fake
news. 3HAN has three levels, one each for words, sentences, and the headline,
and constructs a ... | http://arxiv.org/abs/2306.12014v1 |
Anatomically consistent field-of-view (FOV) completion to recover truncated
body sections has important applications in quantitative analyses of computed
tomography (CT) with limited FOV. Existing solution based on conditional
generative models relies on the fidelity of synthetic truncation patterns at
training phase, ... | http://arxiv.org/abs/2304.03760v1 |
Packet loss during video conferencing often results in poor quality and video
freezing. Retransmitting lost packets is often impractical due to the need for
real-time playback, and using Forward Error Correction (FEC) for packet
recovery is challenging due to the unpredictable and bursty nature of Internet
losses. Exce... | http://arxiv.org/abs/2305.14135v3 |
AI is getting more involved in tasks formerly exclusively assigned to humans.
Most of research on perceptions and social acceptability of AI in these areas
is mainly restricted to the Western world. In this study, we compare trust,
perceived responsibility, and reliance of AI and human experts across OECD and
Indian sa... | http://arxiv.org/abs/2307.15452v1 |
Safety is critical for autonomous driving, and one aspect of improving safety
is to accurately capture the uncertainties of the perception system, especially
knowing the unknown. Different from only providing deterministic or
probabilistic results, e.g., probabilistic object detection, that only provide
partial informa... | http://arxiv.org/abs/2302.02928v2 |
Incorporating knowledge graph into recommendation is an effective way to
alleviate data sparsity. Most existing knowledge-aware methods usually perform
recursive embedding propagation by enumerating graph neighbors. However, the
number of nodes' neighbors grows exponentially as the hop number increases,
forcing the nod... | http://arxiv.org/abs/2304.07506v1 |
Narrowing and unification are very useful tools for symbolic analysis of
rewrite theories, and thus for any model that can be specified in that way. A
very clear example of their application is the field of formal cryptographic
protocol analysis, which is why narrowing and unification are used in tools
such as Maude-NP... | http://arxiv.org/abs/2307.06348v1 |
The adoption of digital transformation was not expressed in building an
African face shape classifier. In this paper, an approach is presented that
uses k-means to classify African women images. African women rely on beauty
standards recommendations, personal preference, or the newest trends in
hairstyles to decide on ... | http://arxiv.org/abs/2306.06061v1 |
Managing the threat posed by malware requires accurate detection and
classification techniques. Traditional detection strategies, such as signature
scanning, rely on manual analysis of malware to extract relevant features,
which is labor intensive and requires expert knowledge. Function call graphs
consist of a set of ... | http://arxiv.org/abs/2303.12812v1 |
Quantum spin liquid (QSL) has become an exciting topic in interacting spin
systems that do not order magnetically down to the lowest experimentally
accessible temperature; however, conclusive experimental evidence remains
lacking. Motivated by the recent surge of theoretical and experimental interest
in a half-filled H... | http://arxiv.org/abs/2304.08635v2 |
These notes are self-contained, with the first 7 chapters used in a
one-semester course with recommended texts by Wald, by Misner, Thorne and
Wheeler, and by Schutz. In its treatment of topics covered in these standard
texts, the presentation here typically includes steps skipped in Wald or MTW.
Treatments of gravitati... | http://arxiv.org/abs/2308.09826v2 |
We study bi-directional associative neural networks that, exposed to noisy
examples of an extensive number of random archetypes, learn the latter (with or
without the presence of a teacher) when the supplied information is enough: in
this setting, learning is heteroassociative -- involving couples of patterns --
and it... | http://arxiv.org/abs/2307.08365v1 |
We consider hate speech detection through keyword spotting on radio
broadcasts. One approach is to build an automatic speech recognition (ASR)
system for the target low-resource language. We compare this to using acoustic
word embedding (AWE) models that map speech segments to a space where matching
words have similar ... | http://arxiv.org/abs/2306.00410v1 |
A slope $p/q$ is said to be characterizing for a knot $K$ if the
homeomorphism type of the $p/q$-Dehn surgery along $K$ determines the knot up
to isotopy. Extending previous work of Lackenby and McCoy on hyperbolic and
torus knots respectively, we study satellite knots to show that for a knot $K$,
any slope $p/q$ is ch... | http://arxiv.org/abs/2307.00739v2 |
Many recommender systems are based on optimizing a linear weighting of
different user behaviors, such as clicks, likes, shares, etc. Though the choice
of weights can have a significant impact, there is little formal study or
guidance on how to choose them. We analyze the optimal choice of weights from
the perspectives ... | http://arxiv.org/abs/2305.17428v1 |
Extracting information from the electrocardiography (ECG) signal is an
essential step in the design of digital health technologies in cardiology. In
recent years, several machine learning (ML) algorithms for automatic extraction
of information in ECG have been proposed. Supervised learning methods have
successfully bee... | http://arxiv.org/abs/2305.10347v1 |
Do different neural networks, trained for various vision tasks, share some
common representations? In this paper, we demonstrate the existence of common
features we call "Rosetta Neurons" across a range of models with different
architectures, different tasks (generative and discriminative), and different
types of super... | http://arxiv.org/abs/2306.09346v2 |
The paper makes the first steps towards a behavioral theory of LPV
state-space representations with an affine dependency on scheduling, by
characterizing minimality of such state-space representations. It is shown that
minimality is equivalent to observability, and that minimal realizations of the
same behavior are iso... | http://arxiv.org/abs/2305.08508v2 |
Recently deep learning and machine learning approaches have been widely
employed for various applications in acoustics. Nonetheless, in the area of
sound field processing and reconstruction classic methods based on the
solutions of wave equation are still widespread. Recently, physics-informed
neural networks have been... | http://arxiv.org/abs/2306.11509v1 |
Offline reinforcement learning (RL) has received considerable attention in
recent years due to its attractive capability of learning policies from offline
datasets without environmental interactions. Despite some success in the
single-agent setting, offline multi-agent RL (MARL) remains to be a challenge.
The large joi... | http://arxiv.org/abs/2307.11620v2 |
We report the presence of exactly and nearly flat bands with non-trivial
topology in three-dimensional (3D) lattice models. We first show that an
exactly flat band can be realized in a 3D lattice model characterized by a 3D
topological invariant, namely Hopf invariant. In contrast, we find another
distinct 3D model, ex... | http://arxiv.org/abs/2305.09616v3 |
Despite recent advances in quantum sciences, a quantum master equation that
accurately and simply characterizes open quantum dynamics across extremely long
timescales and in dispersive environments is still needed. In this study, we
optimize the computation of the fourth-order time-convolutionless master
equation to me... | http://arxiv.org/abs/2310.15089v4 |
Mitigating losses from supply and demand volatility in the semiconductor
supply chain and market has traditionally been cast as a logistics and
forecasting problem. We investigate how the architecture of a family of chips
influences how it is affected by supply and demand uncertainties. We observe
that semiconductor su... | http://arxiv.org/abs/2305.11059v1 |
In this paper, we address the problem of learning a binary (positive vs.
negative) classifier given Positive and Unlabeled data commonly referred to as
PU learning. Although rudimentary techniques like clustering,
out-of-distribution detection, or positive density estimation can be used to
solve the problem in low-dime... | http://arxiv.org/abs/2310.03833v1 |
Microfluidic systems with integrated sensors are ideal platforms to study and
emulate processes such as complex multiphase flow and reactive transport in
porous media, numerical modeling of bulk systems in medicine, and in
engineering. Existing commercial optical fibre sensing systems used in
integrated microfluidic de... | http://arxiv.org/abs/2308.02967v3 |
The convex hull cheapest insertion heuristic produces good solutions to the
Euclidean Traveling Salesperson Problem, but it has never been extended to the
non-Euclidean problem. This paper uses multidimensional scaling to first
project the points from a non-Euclidean space into a Euclidean space, enabling
the generatio... | http://arxiv.org/abs/2302.06582v5 |
This study explores the generation of the observed baryon asymmetry of the
Universe within the complex Two Higgs Doublet Model (C2HDM) while considering
theoretical and current experimental constraints. In our investigation, we
analyze critical elements of the Higgs potential to understand the phase
transition pattern.... | http://arxiv.org/abs/2307.03224v2 |
There is a growing awareness of the harmful effects of distribution shift on
the performance of deployed machine learning models. Consequently, there is a
growing interest in detecting these shifts before associated costs have time to
accumulate. However, desiderata of crucial importance to the practicable
deployment o... | http://arxiv.org/abs/2307.14758v1 |
Serverless computing has emerged as a new execution model which gained a lot
of attention in cloud computing thanks to the latest advances in
containerization technologies. Recently, serverless has been adopted at the
edge, where it can help overcome heterogeneity issues, constrained nature and
dynamicity of edge devic... | http://arxiv.org/abs/2305.13896v1 |
Since its discovery, the quantum entanglement becomes a promising resource in
quantum communication and computation. However, the entanglement is fragile due
to the presence of noise in quantum channels. Entanglement purification is a
powerful tool to distill high quality entangled states from the low quality
entangled... | http://arxiv.org/abs/2304.12679v1 |
Researchers are constantly leveraging new forms of data with the goal of
understanding how people perceive the built environment and build the
collective place identity of cities. Latest advancements in generative
artificial intelligence (AI) models have enabled the production of realistic
representations learned from ... | http://arxiv.org/abs/2306.04662v1 |
Recently, intermittent computing (IC) has received tremendous attention due
to its high potential in perpetual sensing for Internet-of-Things (IoT). By
harvesting ambient energy, battery-free devices can perform sensing
intermittently without maintenance, thus significantly improving IoT
sustainability. To build a prac... | http://arxiv.org/abs/2305.12550v2 |
Language Models (LMs) have shown state-of-the-art performance in Natural
Language Processing (NLP) tasks. Downstream tasks such as Named Entity
Recognition (NER) or Part-of-Speech (POS) tagging are known to suffer from data
imbalance issues, particularly regarding the ratio of positive to negative
examples and class di... | http://arxiv.org/abs/2304.13567v4 |
Danger requires a strong rapid response. Speedy triggers are prone to false
signals. False alarms can be costly, requiring strong negative regulators to
oppose the initial triggers. Strongly opposed forces can easily be perturbed,
leading to imbalance and disease. For example, immunity and fear response
balance strong ... | http://arxiv.org/abs/2307.12329v2 |
We prove that the diameter of a Sidon set (also known as a Babcock sequence,
Golomb ruler, or $B_2$ set) with $k$ elements is at least $k^2-b k^{3/2}-O(k)$
where $b\le 1.96365$, a comparatively large improvement on past results.
Equivalently, a Sidon set with diameter $n$ has at most
$n^{1/2}+0.98183n^{1/4}+O(1)$ eleme... | http://arxiv.org/abs/2310.20032v1 |
We consider damped and forced discrete nonlinear Schr\"odinger equations on
the lattice $\mathbb{Z}$. First we establish the existence of periodic and
quasiperiodic breather solutions for periodic and quasiperiodic driving,
respectively. Notably, quasiperiodic breathers cannot exist in the system
without damping and dr... | http://arxiv.org/abs/2302.09869v2 |
This paper presents a little reflection about the Sleeping Beauty Problem,
maybe contributing to shed light on it and perhaps helping to find a simple and
elegant solution that could definitively resolve the controversies about it. | http://arxiv.org/abs/2307.05655v12 |
Industry 4.0 applications impose the challenging demand of delivering packets
with bounded latencies via a wireless network. This is further complicated if
the network is not dedicated to the time critical application. In this paper we
use network calculus analysis to derive closed form expressions of latency
bounds fo... | http://arxiv.org/abs/2307.14980v1 |
In the field of quantum many-body physics, the spectral (or Lehmann)
representation simplifies the calculation of Matsubara n-point correlation
functions if the eigensystem of a Hamiltonian is known. It is expressed via a
universal kernel function and a system- and correlator-specific product of
matrix elements. Here w... | http://arxiv.org/abs/2304.03774v3 |
In this article, we consider a generalization of the conjugate Hardy $H^2$
spaces, and give some properties of the minimal norm of the generalization and
some relations between the norm of the generalization and the minimal $L^2$
integrals. As applications, we give some monotonicity results for the conjugate
Hardy $H^2... | http://arxiv.org/abs/2307.15446v1 |
Relativistic jets launched by Active Galactic Nuclei are among the most
powerful particle accelerators in the Universe. The emission over the entire
electromagnetic spectrum of these relativistic jets can be extremely variable
with scales of variability from less than few minutes up to several years.
These variability ... | http://arxiv.org/abs/2304.14208v1 |
Emotion arcs capture how an individual (or a population) feels over time.
They are widely used in industry and research; however, there is little work on
evaluating the automatically generated arcs. This is because of the difficulty
of establishing the true (gold) emotion arc. Our work, for the first time,
systematical... | http://arxiv.org/abs/2306.02213v3 |
Existing multimodal conditional image synthesis (MCIS) methods generate
images conditioned on any combinations of various modalities that require all
of them must be exactly conformed, hindering the synthesis controllability and
leaving the potential of cross-modality under-exploited. To this end, we
propose to generat... | http://arxiv.org/abs/2305.05992v1 |
Learning visuomotor policies in simulation is much safer and cheaper than in
the real world. However, due to discrepancies between the simulated and real
data, simulator-trained policies often fail when transferred to real robots.
One common approach to bridge the visual sim-to-real domain gap is domain
randomization (... | http://arxiv.org/abs/2307.15320v1 |
Given two posets $P,Q$ we say that $Q$ is $P$-free if $Q$ does not contain a
copy of $P$. The size of the largest $P$-free family in $2^{[n]}$, denoted by
$La(n,P)$, has been extensively studied since the 1980s. We consider several
related problems. Indeed, for posets $P$ whose Hasse diagrams are trees and
have radius ... | http://arxiv.org/abs/2308.14863v2 |
In this paper, we address the problem of wide-baseline camera pose estimation
from a group of 360$^\circ$ panoramas under upright-camera assumption. Recent
work has demonstrated the merit of deep-learning for end-to-end direct relative
pose regression in 360$^\circ$ panorama pairs [11]. To exploit the benefits of
multi... | http://arxiv.org/abs/2304.13201v1 |
Flame graphs are a popular way of representing profiling data. In this paper
we propose a possible mathematical definition of flame graphs. In doing so, we
gain some interesting algebraic properties almost for free, which in turn allow
us to define some operations that can allow to perform an in-depth performance
regre... | http://arxiv.org/abs/2301.08941v2 |
Structured knowledge bases (KBs) are the backbone of many
know\-ledge-intensive applications, and their automated construction has
received considerable attention. In particular, open information extraction
(OpenIE) is often used to induce structure from a text. However, although it
allows high recall, the extracted kn... | http://arxiv.org/abs/2306.12766v1 |
We extend the definition of L\"uscher's lattice topological charge to the
case of $4$d $SU(N)$ gauge fields coupled with $\mathbb{Z}_N$ $2$-form gauge
fields. This result is achieved while maintaining the locality, the $SU(N)$
gauge invariance, and $\mathbb{Z}_N$ $1$-form gauge invariance, and we find
that the manifest... | http://arxiv.org/abs/2303.10977v2 |
We solve a long-standing open problem about the optimal codebook structure of
codes in $n$-dimensional Euclidean space that consist of $n+1$ codewords
subject to a codeword energy constraint, in terms of minimizing the average
decoding error probability. The conjecture states that optimal codebooks are
formed by the $n... | http://arxiv.org/abs/2306.13478v2 |
Examination of the umbilical artery with Doppler ultrasonography is performed
to investigate blood supply to the fetus through the umbilical cord, which is
vital for the monitoring of fetal health. Such examination involves several
steps that must be performed correctly: identifying suitable sites on the
umbilical arte... | http://arxiv.org/abs/2304.05463v2 |
We study high dimensional expansion beyond simplicial complexes (posets) and
focus on $q$-complexes which are complexes whose basic building blocks are
linear spaces. We show that the complete $q$-complex (consists of all subspaces
of a given linear space) may have non-trivial homology groups and therefore
some techniq... | http://arxiv.org/abs/2306.14317v2 |
Recent outbreaks of monkeypox and Ebola, and worrying waves of COVID-19,
influenza and respiratory syncytial virus, have all led to a sharp increase in
the use of epidemiological models to estimate key epidemiological parameters.
The feasibility of this estimation task is known as the practical
identifiability (PI) pro... | http://arxiv.org/abs/2301.08799v1 |
The parquet equation is an exact field-theoretic equation known since the 60s
that underlies numerous approximations to solve strongly correlated Fermion
systems. Its derivation previously relied on combinatorial arguments
classifying all diagrams of the two-particle Green's function in terms of their
(ir)reducibility ... | http://arxiv.org/abs/2305.16050v2 |
Following the success of the explicit construction of the multivariate
Krawtchouk polynomials as the birth and death polynomials, a formulation of
multivariate Hahn polynomials is proposed in the same style. The difference
equations specified by the birth/death rates have polynomial eigenvectors which
form the complete... | http://arxiv.org/abs/2305.09170v1 |
The progenitors for many types of supernovae (SNe) are still unknown, and an
approach to diagnose their physical origins is to investigate the light curve
brightness and shape of a large set of SNe. However, it is often difficult to
compare and contrast the existing sample studies due to differences in their
approaches... | http://arxiv.org/abs/2302.02082v2 |
In reinforcement learning (RL), state representations are key to dealing with
large or continuous state spaces. While one of the promises of deep learning
algorithms is to automatically construct features well-tuned for the task they
try to solve, such a representation might not emerge from end-to-end training
of deep ... | http://arxiv.org/abs/2306.10171v1 |
Rooted in collaborative efforts, cybersecurity spans the scope of cyber
competitions and warfare. Despite extensive research into team strategy in
sports and project management, empirical study in cyber-security is minimal.
This gap motivates this paper, which presents the Collaborative Cyber Team
Formation (CCTF) Simu... | http://arxiv.org/abs/2307.10258v1 |
Du e to rapid population growth and the need to use artificial intelligence
to make quick decisions, developing a machine learning-based disease detection
model and abnormality identification system has greatly improved the level of
medical diagnosis Since COVID-19 has become one of the most severe diseases in
the worl... | http://arxiv.org/abs/2305.10421v1 |
The first-order optimality condition of convexly constrained nonconvex
nonconcave min-max optimization problems with box constraints formulates a
nonmonotone variational inequality (VI), which is equivalent to a system of
nonsmooth equations. In this paper, we propose a quasi-Newton subspace trust
region (QNSTR) algori... | http://arxiv.org/abs/2302.05935v6 |
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