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We revisit an argument due to Lesch (Topology 32 (1993), no. 3, 611-623) for
proving the cobordism invariance of the index of Dirac operators on
even-dimensional closed manifolds and combine this with recent work by the
author (New York J. Math. 28 (2022), 705-772) to show vanishing results for the
spectral flow for fa... | http://arxiv.org/abs/2301.00100v1 |
We consider branching processes describing structured, interacting
populations in continuous time. Dynamics of each individuals characteristics
and branching properties can be influenced by the entire population. We propose
a Girsanov-type result based on a spinal construction, and establish a
many-to-one formula. By c... | http://arxiv.org/abs/2309.15449v2 |
Unstructured data in Electronic Health Records (EHRs) often contains critical
information -- complementary to imaging -- that could inform radiologists'
diagnoses. But the large volume of notes often associated with patients
together with time constraints renders manually identifying relevant evidence
practically infea... | http://arxiv.org/abs/2309.04550v3 |
There are countless digital sky surveys and automated scans of the night sky
which use computer algorithms to detect and categorize objects. With the advent
of Artificial Intelligence such surveys will become even more efficient in the
near future. Despite this some objects are missed by surveys or pose no initial
inte... | http://arxiv.org/abs/2309.14743v1 |
The existing methods for video anomaly detection mostly utilize videos
containing identifiable facial and appearance-based features. The use of videos
with identifiable faces raises privacy concerns, especially when used in a
hospital or community-based setting. Appearance-based features can also be
sensitive to pixel-... | http://arxiv.org/abs/2301.00114v4 |
We have conducted a revised analysis of the first-order phase transition that
is associated with symmetry breaking in a classically scale-invariant model
that has been extended with a new $SU(2)$ gauge group. By incorporating recent
developments in the understanding of supercooled phase transitions, we were
able to cal... | http://arxiv.org/abs/2303.18122v1 |
Traffic forecasting is a challenging task due to the complex spatio-temporal
correlations among traffic series. In this paper, we identify an underexplored
problem in multivariate traffic series prediction: extreme events. Road
congestion and rush hours can result in low correlation in vehicle speeds at
various interse... | http://arxiv.org/abs/2309.09074v1 |
In this article, we try to capture the influence of deviation from standard
Kerr black hole spacetime on observed high-frequency quasi-periodic
oscillations signal. We explore the dynamics of test particles in the field of
rotating compact objects governed by the various modifications of the standard
Kerr black hole sp... | http://arxiv.org/abs/2309.09712v1 |
Plug-and-Play (PnP) priors is a widely-used family of methods for solving
imaging inverse problems by integrating physical measurement models with image
priors specified using image denoisers. PnP methods have been shown to achieve
state-of-the-art performance when the prior is obtained using powerful deep
denoisers. D... | http://arxiv.org/abs/2310.00133v1 |
Fishes, cetaceans, and many other aquatic vertebrates undulate their bodies
to propel themselves through water. Swimming requires an intricate interplay
between sensing the environment, making decisions, controlling internal
dynamics, and moving the body in interaction with the external medium. Within
this sequence of ... | http://arxiv.org/abs/2309.14025v3 |
This paper develops the MUFIN technique for extreme classification (XC) tasks
with millions of labels where datapoints and labels are endowed with visual and
textual descriptors. Applications of MUFIN to product-to-product recommendation
and bid query prediction over several millions of products are presented.
Contempo... | http://arxiv.org/abs/2309.04961v1 |
Let us say that a graph $G$ is Ramsey for a tuple $(H_1,\dots,H_r)$ of graphs
if every $r$-coloring of the edges of $G$ contains a monochromatic copy of
$H_i$ in color $i$, for some $i \in [r]$. A famous conjecture of Kohayakawa and
Kreuter, extending seminal work of R\"odl and Ruci\'nski, predicts the
threshold at whi... | http://arxiv.org/abs/2307.16611v1 |
The design of induction machine is a challenging task due to different
electromagnetic and thermal constraints. Quick estimation of machine's
dimensions is important in the sales tool to provide quick quotations to
customers based on specific requirements. The key part of this process is to
select different design para... | http://arxiv.org/abs/2306.17626v1 |
The software supply chain (SSC) attack has become one of the crucial issues
that are being increased rapidly with the advancement of the software
development domain. In general, SSC attacks execute during the software
development processes lead to vulnerabilities in software products targeting
downstream customers and ... | http://arxiv.org/abs/2306.08060v1 |
We identify a new type of risk, common firm-level investor fears, from
commonalities within the cross-sectional distribution of individual stock
options. We define firm-level fears that link with upward price movements as
good fears, and those relating to downward price movements as bad fears. Such
information is diffe... | http://arxiv.org/abs/2309.03968v1 |
The coherent dynamics and control of spin qubits are essential requirements
for quantum technology. A prominent challenge for coherent control of a spin
qubit in a set of qubits is the destructive effect of the applied magnetic
field on the coherent dynamics of neighbouring qubits due to its spatial
extension. We propo... | http://arxiv.org/abs/2303.17952v1 |
High-quality text embedding is pivotal in improving semantic textual
similarity (STS) tasks, which are crucial components in Large Language Model
(LLM) applications. However, a common challenge existing text embedding models
face is the problem of vanishing gradients, primarily due to their reliance on
the cosine funct... | http://arxiv.org/abs/2309.12871v8 |
We show that minimally 3-rigid block-and-hole graphs, with one block or one
hole, are characterised as those which are constructible from $K_3$ by vertex
splitting, and also, as those having associated looped face graphs which are
$(3,0)$-tight. This latter property can be verified in polynomial time by a
form of pebbl... | http://arxiv.org/abs/2309.06804v1 |
In many applications, a combinatorial problem must be repeatedly solved with
similar, but distinct parameters. Yet, the parameters $w$ are not directly
observed; only contextual data $d$ that correlates with $w$ is available. It is
tempting to use a neural network to predict $w$ given $d$. However, training
such a mode... | http://arxiv.org/abs/2301.13395v4 |
PSO J334.2028+1.4075 (PSO J334) is a luminous quasar located at redshift
z=2.06. The source gained attention when periodic flux density variations were
discovered in its optical light curve. These variations were initially
interpreted as the variability due to the orbital motion of a supermassive
black hole binary (SMB... | http://arxiv.org/abs/2306.17632v1 |
The rise of data-intensive applications exposed the limitations of
conventional processor-centric von-Neumann architectures that struggle to meet
the off-chip memory bandwidth demand. Therefore, recent innovations in computer
architecture advocate compute-in-memory (CIM) and compute-near-memory (CNM),
non-von- Neumann ... | http://arxiv.org/abs/2301.07486v4 |
Organic molecular solids can exhibit rich phase diagrams. In addition to
structurally unique phases, translational and rotational degrees of freedom can
melt at different state points, giving rise to partially disordered solid
phases. The structural and dynamic disorder in these materials can have a
significant impact ... | http://arxiv.org/abs/2310.00480v1 |
Comets are considered a potential source of inner solar system volatiles, but
the timing of this delivery relative to that of Earth's accretion is still
poorly understood. Measurements of xenon isotopes in comet
67P/Churyumov-Gerasimenko revealed that comets partly contributed to the
Earth's atmosphere. However, there ... | http://arxiv.org/abs/2309.03954v1 |
The training of a parameterized model largely depends on the landscape of the
underlying loss function. In particular, vanishing gradients are a central
bottleneck in the scalability of variational quantum algorithms (VQAs), and are
known to arise in various ways. However, a caveat of most existing gradient
bound resul... | http://arxiv.org/abs/2309.12681v3 |
Combinatorial optimization is one of the fields where near term quantum
devices are being utilized with hybrid quantum-classical algorithms to
demonstrate potentially practical applications of quantum computing. One of the
most well studied problems in combinatorial optimization is the Max-Cut
problem. The problem is a... | http://arxiv.org/abs/2309.08815v1 |
Whether or not $z \gtrsim 6$ quasars lie in the most massive dark-matter
halos of the Universe is still a subject of dispute. While most theoretical
studies support this scenario, current observations yield discordant results
when they probe the halo mass through the detection rate of quasar companion
galaxies. Feedbac... | http://arxiv.org/abs/2309.03940v1 |
With the increasing penetration of Inverter-Based Resources (IBRs) and their
impact on power system stability and operation, the concept of
stability-constrained optimization has drawn significant attention from
researchers. In order to manage the parametric uncertainty due to inaccurate
modeling that influences the sy... | http://arxiv.org/abs/2309.03798v2 |
We have devised a data-driven framework for uncovering hidden control
strategies used by an evolutionary system described by an evolutionary
probability distribution. This innovative framework enables deciphering of the
concealed mechanisms that contribute to the progression or mitigation of such
situations as the spre... | http://arxiv.org/abs/2309.15844v1 |
Based on work presented in [4], we define $S^2$-Upper Triangular Matrices and
$S^2$-Lower Triangular Matrices, two special types of $d\times d(2d-1)$
matrices generalizing Upper and Lower Triangular Matrices, respectively. Then,
we show that the property that the determinant of an Upper Triangular Matrix is
the product... | http://arxiv.org/abs/2310.00494v1 |
Citation maturity time varies for different articles. However, the impact of
all articles is measured in a fixed window. Clustering their citation
trajectories helps understand the knowledge diffusion process and reveals that
not all articles gain immediate success after publication. Moreover, clustering
trajectories i... | http://arxiv.org/abs/2309.04949v1 |
QUIC is a new protocol standardized in 2021 designed to improve on the widely
used TCP / TLS stack. The main goal is to speed up web traffic via HTTP, but it
is also used in other areas like tunneling. Based on UDP it offers features
like reliable in-order delivery, flow and congestion control, streambased
multiplexing... | http://arxiv.org/abs/2309.16395v1 |
A novel mode-selective thermo-optic phase shifter (MS-TOPS) enabled by
subwavelength grating (SWG) structures is proposed and experimentally
demonstrated on a 220 nm waveguide thick silicon photonics chip for the first
two quasi-transverse electric modes (TE0, TE1). Mode-selective relative phase
manipulation of modes u... | http://arxiv.org/abs/2307.16639v1 |
The assumption of no unmeasured confounders is a critical but unverifiable
assumption required for causal inference yet quantitative sensitivity analyses
to assess robustness of real-world evidence remains underutilized. The lack of
use is likely in part due to complexity of implementation and often specific
and restri... | http://arxiv.org/abs/2309.07273v1 |
In order to use the Dual Simplex Method, one needs to prove a certain
bijection between the dictionaries associated with the primal problem and those
associated with its dual. We give a short conceptual proof of why this
bijection exists. | http://arxiv.org/abs/2310.02268v1 |
The momentum of light in a medium and the mechanisms of momentum transfer
between light and dielectrics have long been the topic of controversies and
confusion. We discuss here the problem of momentum transfers that follow the
refraction of light by dilute, inhomogeneous ensembles of ultra-cold atoms. We
show experimen... | http://arxiv.org/abs/2309.05464v1 |
In recent years face recognition systems have been brought to the mainstream
due to development in hardware and software. Consistent efforts are being made
to make them better and more secure. This has also brought developments in 3D
face recognition systems at a rapid pace. These 3DFR systems are expected to
overcome ... | http://arxiv.org/abs/2309.12118v1 |
In this work, we use the communication of intent as a means to facilitate
cooperation between autonomous vehicle agents. Generally speaking, intents can
be any reliable information about its future behavior that a vehicle
communicates with another vehicle. We implement this as an intent-sharing task
atop the merging en... | http://arxiv.org/abs/2309.13206v1 |
By tracking trajectories of dark matter (DM) particles accreting onto haloes
in cosmological $N$-body simulations, we investigate the radial phase-space
distribution of cold dark matter (CDM) haloes, paying attention to their inner
regions deep inside the halo boundary called the splashback radius, where the
particles ... | http://arxiv.org/abs/2309.13560v3 |
In this work, we consider the optimization process of minibatch stochastic
gradient descent (SGD) on a 2-layer neural network with data separated by a
quadratic ground truth function. We prove that with data drawn from the
$d$-dimensional Boolean hypercube labeled by the quadratic ``XOR'' function $y
= -x_ix_j$, it is ... | http://arxiv.org/abs/2309.15111v2 |
Virtual and augmented realities are increasingly popular tools in many
domains such as architecture, production, training and education,
(psycho)therapy, gaming, and others. For a convincing rendering of sound in
virtual and augmented environments, audio signals must be convolved in
real-time with impulse responses tha... | http://arxiv.org/abs/2310.00319v1 |
We propose a Small Area Estimation model based on Generalized Additive Models
for Location, Scale and Shape (SAE-GAMLSS), for the estimation of household
economic indicators. SAE-GAMLSS release the exponential family distributional
assumption and allow each distributional parameter to depend on covariates. A
bootstrap ... | http://arxiv.org/abs/2302.00108v4 |
We present a novel efficient theoretical and numerical framework for solving
global non-convex polynomial optimization problems. We analytically demonstrate
that such problems can be efficiently reformulated using a non-linear objective
over a convex set; further, these reformulated problems possess no spurious
local m... | http://arxiv.org/abs/2308.16731v2 |
In this work, we address music representation learning using convolution-free
transformers. We build on top of existing spectrogram-based audio transformers
such as AST and train our models on a supervised task using patchout training
similar to PaSST. In contrast to previous works, we study how specific design
decisio... | http://arxiv.org/abs/2309.16418v1 |
Inverse text normalization (ITN) is crucial for converting spoken-form into
written-form, especially in the context of automatic speech recognition (ASR).
While most downstream tasks of ASR rely on written-form, ASR systems often
output spoken-form, highlighting the necessity for robust ITN in product-level
ASR-based a... | http://arxiv.org/abs/2309.08626v1 |
Sketch-based terrain generation seeks to create realistic landscapes for
virtual environments in various applications such as computer games, animation
and virtual reality. Recently, deep learning based terrain generation has
emerged, notably the ones based on generative adversarial networks (GAN).
However, these metho... | http://arxiv.org/abs/2308.16725v1 |
Inspired by recent work demonstrating the promise of smaller
Transformer-based language models pretrained on carefully curated data, we
supercharge such approaches by investing heavily in curating a novel, high
quality, non-synthetic data mixture based solely on evaluation benchmarks.
Using our novel dataset mixture co... | http://arxiv.org/abs/2309.08632v1 |
Using local operations and classical communication (LOCC), entanglement can
be manipulated but not created. However, entanglement can be embezzled. In this
work, we completely characterize universal embezzling families and demonstrate
how this singles out the original family introduced by van Dam and Hayden. To
achieve... | http://arxiv.org/abs/2303.17749v3 |
An irreducible polynomial $f\in\Bbb F_q[X]$ of degree $n$ is {\em normal}
over $\Bbb F_q$ if and only if its roots $r, r^q,\dots,r^{q^{n-1}}$ satisfy the
condition $\Delta_n(r, r^q,\dots,r^{q^{n-1}})\ne 0$, where
$\Delta_n(X_0,\dots,X_{n-1})$ is the $n\times n$ circulant determinant. By
finding a suitable {\em symmetri... | http://arxiv.org/abs/2309.05470v1 |
Diffusion models achieve great success in generating diverse and
high-fidelity images, yet their widespread application, especially in real-time
scenarios, is hampered by their inherently slow generation speed. The slow
generation stems from the necessity of multi-step network inference. While some
certain predictions ... | http://arxiv.org/abs/2309.17074v3 |
Simultaneous machine translation (SiMT) outputs translation while reading the
source sentence. Unlike conventional sequence-to-sequence (seq2seq) training,
existing SiMT methods adopt the prefix-to-prefix (prefix2prefix) training,
where the model predicts target tokens based on partial source tokens. However,
the prefi... | http://arxiv.org/abs/2309.06179v1 |
Information about autonomic nervous system (ANS) activity may be valuable for
personalized atrial fibrillation (AF) treatment but is not easily accessible
from the ECG. In this study, we propose a new approach for ECG-based assessment
of respiratory modulation in AV nodal refractory period and conduction delay. A
1-dim... | http://arxiv.org/abs/2309.05458v1 |
A harmonious coloring of a $k$-uniform hypergraph $H$ is a vertex coloring
such that no two vertices in the same edge have the same color, and each
$k$-element subset of colors appears on at most one edge. The harmonious number
$h(H)$ is the least number of colors needed for such a coloring.
The paper contains a new ... | http://arxiv.org/abs/2301.00302v3 |
Methods to detect malignant lesions from screening mammograms are usually
trained with fully annotated datasets, where images are labelled with the
localisation and classification of cancerous lesions. However, real-world
screening mammogram datasets commonly have a subset that is fully annotated and
another subset tha... | http://arxiv.org/abs/2301.13418v4 |
An antimagic labeling of a graph $G(V,E)$ is a bijection $f: E \to \{1,2,
\dots, |E|\}$ so that $\sum_{e \in E(u)} f(e) \neq \sum_{e \in E(v)} f(e)$
holds for all $u, v \in V(G)$ with $u \neq v$, where $E(v)$ is the set of edges
incident to $v$. We call $G$ antimagic if it admits an antimagic labeling. A
forest is a gr... | http://arxiv.org/abs/2307.16836v1 |
Machine learning has been successfully applied to grid-based PDE modeling in
various scientific applications. However, learned PDE solvers based on
Lagrangian particle discretizations, which are the preferred approach to
problems with free surfaces or complex physics, remain largely unexplored. We
present LagrangeBench... | http://arxiv.org/abs/2309.16342v2 |
Leveraging Graphics Processing Units (GPUs) to accelerate scientific software
has proven to be highly successful, but in order to extract more performance,
GPU programmers must overcome the high latency costs associated with their use.
One method of reducing or hiding this latency cost is to use asynchronous
streams to... | http://arxiv.org/abs/2306.17801v1 |
Despite considerable advances in automated fake news detection, due to the
timely nature of news, it remains a critical open question how to effectively
predict the veracity of news articles based on limited fact-checks. Existing
approaches typically follow a "Train-from-Scratch" paradigm, which is
fundamentally bounde... | http://arxiv.org/abs/2309.16424v1 |
Glitches are sudden spin-up events of pulsars and are usually thought to be
induced by unpinning of neutron superfluid vortices in pulsar crusts. Unpinning
and repinning of superfluid vortices, and even thermoelectric effects induced
by the deposited heat released during glitches, may vary the velocity fields in
pulsar... | http://arxiv.org/abs/2301.04602v2 |
Polarization is a unique tool to study the properties of dust grains of
protoplanetary disks and detail the initial conditions of planet formation.
Polarization around HL Tau was previously imaged using the Atacama Large
Millimeter/submillimeter Array (ALMA) at Bands 3 (3.1 mm), 6 (1.3 mm), and 7
(0.87 mm), showing tha... | http://arxiv.org/abs/2309.10055v1 |
We introduce a novel family of mechanisms for constrained allocation problems
which we call local priority mechanisms. These mechanisms are parameterized by
a function which assigns a set of agents, the local compromisers, to every
infeasible allocation. The mechanism then greedily attempts to match agents
with their t... | http://arxiv.org/abs/2309.04020v2 |
This study provides Urdu poetry generated using different deep-learning
techniques and algorithms. The data was collected through the Rekhta website,
containing 1341 text files with several couplets. The data on poetry was not
from any specific genre or poet. Instead, it was a collection of mixed Urdu
poems and Ghazals... | http://arxiv.org/abs/2309.14233v1 |
The process of designing costmaps for off-road driving tasks is often a
challenging and engineering-intensive task. Recent work in costmap design for
off-road driving focuses on training deep neural networks to predict costmaps
from sensory observations using corpora of expert driving data. However, such
approaches are... | http://arxiv.org/abs/2302.00134v1 |
The use of Implicit Neural Representation (INR) through a hash-table has
demonstrated impressive effectiveness and efficiency in characterizing
intricate signals. However, current state-of-the-art methods exhibit
insufficient regularization, often yielding unreliable and noisy results during
interpolations. We find tha... | http://arxiv.org/abs/2309.12642v1 |
We present the methods and results from the discovery and photometric
measurement of 26 bright (VR $>$ 24 trans-Neptunian objects (TNOs) during the
first year (2019-20) of the DECam Ecliptic Exploration Project (DEEP). The DEEP
survey is an observational TNO survey with wide sky coverage, high sensitivity,
and a fast p... | http://arxiv.org/abs/2309.04034v1 |
Josephson Junctions are important components in superconducting qubits. It
introduces anharmonicity to the energy level spacings of the qubit which allow
us to identify two unique quantum energy states for computing. It is difficult
to fabricate multiple junctions within the same desired parameter range.
Characterisati... | http://arxiv.org/abs/2310.00331v1 |
The decoherence of point defect qubits is often governed by the electron
spin-nuclear spin hyperfine interaction that can be parameterized by using ab
inito calculations in principle. So far most of the theoretical works have
focused on the hyperfine interaction of the closest nuclear spins, while the
accuracy of the p... | http://arxiv.org/abs/2309.03983v3 |
We present a theoretical investigation of electron heat current in
asymmetrical length armchair graphene nanoribbon (AGNR) heterostructures with
vacancies, focusing on the topological states (TSs). In particular, we examine
the 9-7-9 AGNR heterostructures where the TSs are well-isolated from the
conduction and valence ... | http://arxiv.org/abs/2309.06623v2 |
The adiabatic connection interaction strength interpolation (ISI)-like method
provides a high-level expression for the correlation energy, being in principle
exact in the weak-interaction limit, where it recovers the second-order
G\"orling-Levy perturbation term, but also in the strong-interaction limit that
is describ... | http://arxiv.org/abs/2309.16430v1 |
We use the link between Jacobi continued fractions and the generating
functions of certain moment sequences to study some simple transformations on
them. In particular, we define and study a transformation that is appropriate
for the study of spidernet graphs and their moments, and the free Meixner law. | http://arxiv.org/abs/2307.00098v1 |
We present a novel inference scheme, self-speculative decoding, for
accelerating Large Language Models (LLMs) without the need for an auxiliary
model. This approach is characterized by a two-stage process: drafting and
verification. The drafting stage generates draft tokens at a slightly lower
quality but more quickly,... | http://arxiv.org/abs/2309.08168v2 |
The reliability of a learning model is key to the successful deployment of
machine learning in various applications. Creating a robust model, particularly
one unaffected by adversarial attacks, requires a comprehensive understanding
of the adversarial examples phenomenon. However, it is difficult to describe
the phenom... | http://arxiv.org/abs/2309.17048v1 |
The task of state estimation in active distribution systems faces a major
challenge due to the integration of different measurements with multiple
reporting rates. As a result, distribution systems are essentially unobservable
in real time, indicating the existence of multiple states that result in
identical values for... | http://arxiv.org/abs/2307.16822v2 |
Localized atomic orbitals are the preferred basis-set choice for large-scale
explicit correlated calculations, and high-quality hierarchical
correlation-consistent basis sets are a prerequisite for correlated methods to
deliver numerically reliable results. At present, Numeric Atom-centered Orbital
(NAO) basis sets wit... | http://arxiv.org/abs/2309.06145v1 |
In Grammatical Error Correction (GEC), it is crucial to ensure the user's
comprehension of a reason for correction. Existing studies present tokens,
examples, and hints as to the basis for correction but do not directly explain
the reasons for corrections. Although methods that use Large Language Models
(LLMs) to provi... | http://arxiv.org/abs/2309.11439v1 |
Heart failure (HF) is a critical condition in which the accurate prediction
of mortality plays a vital role in guiding patient management decisions.
However, clinical datasets used for mortality prediction in HF often suffer
from an imbalanced distribution of classes, posing significant challenges. In
this paper, we ex... | http://arxiv.org/abs/2310.00457v1 |
We propose a cluster-based method to detect and locate eavesdropping events
in optical line systems characterized by small power losses. Our findings
indicate that detecting such subtle losses from eavesdropping can be
accomplished solely through optical performance monitoring (OPM) data collected
at the receiver. On t... | http://arxiv.org/abs/2309.14541v1 |
Images or videos captured by the Under-Display Camera (UDC) suffer from
severe degradation, such as saturation degeneration and color shift. While
restoration for UDC has been a critical task, existing works of UDC restoration
focus only on images. UDC video restoration (UDC-VR) has not been explored in
the community. ... | http://arxiv.org/abs/2309.04752v1 |
A high-pressure hydrogen micromix combustor has been investigated using
direct numerical simulation with detailed chemistry to examine the flame
structure and stabilisation mechanism. The configuration of the combustor was
based on the design by Schefer [1], using numerical periodicity to mimic a
large square array. A ... | http://arxiv.org/abs/2309.04815v1 |
In this paper, we reexamine one of the most promising candidates for
determining the neutrino mass scale -- the unique first forbidden $\beta$
transition from $^{187}$Re($5/2^+$) to $^{187}$Os($1/2^-$). With the
lowest-known ground-state to ground-state $Q$-value for a $\beta$ transition at
$2.4709$ keV, rhenium's $\be... | http://arxiv.org/abs/2309.15918v1 |
We introduce a new method of detecting when the fundamental group of a Dehn
surgery on a knot admits a left-ordering, a method which is particularly useful
for 2-bridge knots. As an illustration of this method, we show that all Dehn
surgeries on the knot $6_2$ with slope in the interval $(-4, 8)\cap\mathbb{Q}$
have lef... | http://arxiv.org/abs/2307.00107v1 |
Recently, the development of large language models (LLMs) has been
significantly enhanced the question answering and dialogue generation, and
makes them become increasingly popular in current practical scenarios. While
unlike the general dialogue system which emphasizes the semantic performance,
the task-oriented dialo... | http://arxiv.org/abs/2309.08949v1 |
Efficient power coupling between on-chip guided and free-space optical modes
requires precision spatial mode matching with apodized grating couplers. Yet,
grating apodizations are often limited by the minimum feature size of the
fabrication approach. This is especially challenging when small feature sizes
are required ... | http://arxiv.org/abs/2309.08791v1 |
Current speech large language models build upon discrete speech
representations, which can be categorized into semantic tokens and acoustic
tokens. However, existing speech tokens are not specifically designed for
speech language modeling. To assess the suitability of speech tokens for
building speech language models, ... | http://arxiv.org/abs/2308.16692v2 |
In this article, we show that there is no cofibration category structure on
the category of finite graphs with $\times$-homotopy equivalences as the class
of weak equivalences. Further, we show that it is not possible to enlarge the
class of weak equivalences to get cofibration category structure on the
category of fin... | http://arxiv.org/abs/2301.13587v2 |
We examine online safe multi-agent reinforcement learning using constrained
Markov games in which agents compete by maximizing their expected total rewards
under a constraint on expected total utilities. Our focus is confined to an
episodic two-player zero-sum constrained Markov game with independent
transition functio... | http://arxiv.org/abs/2306.00212v1 |
AI developers often apply safety alignment procedures to prevent the misuse
of their AI systems. For example, before Meta released Llama 2-Chat - a
collection of instruction fine-tuned large language models - they invested
heavily in safety training, incorporating extensive red-teaming and
reinforcement learning from h... | http://arxiv.org/abs/2310.20624v2 |
Neutrino experiments, in the next years, aim to determine with precision all
the six parameters of the three-neutrino standard paradigm. The complete
success of the experimental program is, nevertheless, attached to the
non-existence (or at least smallness) of Non-Standard Interactions (NSI). In
this work, anticipating... | http://arxiv.org/abs/2309.15924v2 |
This article examines India's first science lander mission on 22 July 2019,
attempting a historic landing on the Lunar South Pole Region. Communication was
lost at 2.1 km above the lunar surface during the rough braking phase. The
cause of the Chandrayaan 2 lander "Vikram" failure remains undisclosed.
Possible factors ... | http://arxiv.org/abs/2309.14384v1 |
A risk in adopting third-party dependencies into an application is their
potential to serve as a doorway for malicious code to be injected (most often
unknowingly). While many initiatives from both industry and research
communities focus on the most critical dependencies (i.e., those most depended
upon within the ecosy... | http://arxiv.org/abs/2309.04197v1 |
Retrieval-Augmented Language Modeling (RALM) methods, which condition a
language model (LM) on relevant documents from a grounding corpus during
generation, were shown to significantly improve language modeling performance.
In addition, they can mitigate the problem of factually inaccurate text
generation and provide n... | http://arxiv.org/abs/2302.00083v3 |
In this paper, we prove that isotropic Gaussian functions are characterized
by a rearrangement inequality for weighted perimeter in dimensions $n \ge 2$
within the class of non-negative weights in $L^1(\mathbb{R}^n) \cap
W^{1,1}_{loc}(\mathbb{R}^n)$. More specifically, we prove that within this
class generalized Ehrhar... | http://arxiv.org/abs/2310.00292v1 |
Wave-based imaging techniques use wavefield data from receivers on the
boundary of a domain to produce an image of the underlying structure in the
domain of interest. These images are defined by the imaging condition, which
maps recorded data to their reflection points in the domain. In this paper, we
introduce a nonli... | http://arxiv.org/abs/2304.01013v2 |
The convergence of deterministic policy gradient under the Hadamard
parameterization is studied in the tabular setting and the linear convergence
of the algorithm is established. To this end, we first show that the error
decreases at an $O(\frac{1}{k})$ rate for all the iterations. Based on this
result, we further show... | http://arxiv.org/abs/2305.19575v2 |
Human-centric video frame interpolation has great potential for improving
people's entertainment experiences and finding commercial applications in the
sports analysis industry, e.g., synthesizing slow-motion videos. Although there
are multiple benchmark datasets available in the community, none of them is
dedicated fo... | http://arxiv.org/abs/2308.16876v2 |
We report a non-detection of the [OI] 63-um emission line from the z = 6.03
galaxy G09.83808 using ALMA Band 9 observations, refuting the previously
claimed detection with APEX by (Rybak et al. 2020); the new upper limit on the
[OI] 63-um flux is almost 20-times lower. [OI] 63-um line could be a powerful
tracer of neut... | http://arxiv.org/abs/2309.12939v1 |
User churn, characterized by customers ending their relationship with a
business, has profound economic consequences across various
Business-to-Customer scenarios. For numerous system-to-user actions, such as
promotional discounts and retention campaigns, predicting potential churners
stands as a primary objective. In ... | http://arxiv.org/abs/2309.14390v1 |
We derive exact solutions of massless free field equations and tree-level
two-point amplitudes up to spin 2 on self-dual Taub-NUT space-time, as well as
on its single copy, the self-dual dyon. We use Killing spinors to build
analogues of momentum eigenstates, finding that, in the spirit of
color-kinematics duality, tho... | http://arxiv.org/abs/2309.03834v1 |
The parabolic Airy line ensemble $\mathfrak A$ is a central limit object in
the KPZ universality class and related areas. On any compact set $K = \{1,
\dots, k\} \times [a, a + t]$, the law of the recentered ensemble $\mathfrak A
- \mathfrak A(a)$ has a density $X_K$ with respect to the law of $k$
independent Brownian ... | http://arxiv.org/abs/2302.00097v4 |
This is a continuation of our previous work entitled \enquote{Alternating
Proximity Mapping Method for Convex-Concave Saddle-Point Problems}, in which we
proposed the alternating proximal mapping method and showed convergence results
on the sequence of our iterates, the sequence of averages of our iterates, and
the seq... | http://arxiv.org/abs/2310.20156v1 |
We consider a scenario where the scalaron of $f({\cal R})$ models is related
to the volume modulus of string compactifications leaving only one scalar
degree of freedom at low energy. The coefficient of the leading curvature
squared contribution to the low energy effective action of gravity determines
the mass of the s... | http://arxiv.org/abs/2309.12087v2 |
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