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A recent trend in data mining has explored (hyper)graph clustering algorithms
for data with categorical relationship types. Such algorithms have applications
in the analysis of social, co-authorship, and protein interaction networks, to
name a few. Many such applications naturally have some overlap between
clusters, a ... | http://arxiv.org/abs/2305.17598v2 |
Reverse engineering of FPGA based designs from the flattened LUT level
netlist to high level RTL helps in verification of the design or in
understanding legacy designs. We focus on flattened netlists for FPGA devices
from Xilinx 7 series and Zynq 7000. We propose a design element grouping
algorithm that makes use of th... | http://arxiv.org/abs/2303.07405v1 |
We consider the spectral and initial value problem for the
Lindblad-Gorini-Kossakowski-Sudarshan master equation describing an open
quantum system of bosons and spins, where the bosonic parts of the Hamiltonian
and Lindblad jump operators are quadratic and linear respectively, while the
spins couple to bosons via mutua... | http://arxiv.org/abs/2308.05160v1 |
We present Hybrid-CSR, a geometric deep-learning model that combines explicit
and implicit shape representations for cortical surface reconstruction.
Specifically, Hybrid-CSR begins with explicit deformations of template meshes
to obtain coarsely reconstructed cortical surfaces, based on which the oriented
point clouds... | http://arxiv.org/abs/2307.12299v1 |
In this paper, we revisit the no black hole theorem in three dimensional (3D)
gravity in the Newman-Penrose formalism in a generalized Newman-Unti gauge.
After adapting the well established 4D NP formalism and its gauge and
coordinates system to 3D gravity, we show that the no black hole theorem is
manifest in the NP e... | http://arxiv.org/abs/2307.14830v2 |
People with diabetes have to manage their blood glucose level to keep it
within an appropriate range. Predicting whether future glucose values will be
outside the healthy threshold is of vital importance in order to take
corrective actions to avoid potential health damage. In this paper we describe
our research with th... | http://arxiv.org/abs/2303.17616v1 |
The HIBEAM-NNBAR program is a proposed two-stage experiment at the European
Spallation Source (ESS) designed to search for baryon number violation, which
is - together with C and CP violation - one of the three fundamental Sakharov
conditions to explain the observed baryon asymmetry of the Universe. Taking
advantage of... | http://arxiv.org/abs/2309.02526v2 |
The literature on game-theoretic equilibrium finding predominantly focuses on
single games or their repeated play. Nevertheless, numerous real-world
scenarios feature playing a game sampled from a distribution of similar, but
not identical games, such as playing poker with different public cards or
trading correlated a... | http://arxiv.org/abs/2303.01074v2 |
Emotion regulation is the process of consciously altering one's affective
state, that is the underlying emotional state such as happiness, confidence,
guilt, anger etc. The ability to effectively regulate emotions is necessary for
functioning efficiently in everyday life. Today, the pervasiveness of digital
technology ... | http://arxiv.org/abs/2307.13187v1 |
Topological/perfectly-transmissive defects play a fundamental role in the
analysis of the symmetries of two dimensional conformal field theories (CFTs).
In the present work, spin chain regularizations for these defects are proposed
and analyzed in the case of the three-state Potts CFT. In particular, lattice
versions f... | http://arxiv.org/abs/2310.19703v1 |
Connected and autonomous vehicles, also known as CAVs, are a general trend in
the evolution of the automotive industry that can be utilized to make
transportation safer, improve the number of mobility options available, user
costs will go down and new jobs will be created. However, as our society grows
more automated a... | http://arxiv.org/abs/2310.09510v1 |
This work proposes a novel approach that uses a semantic segmentation mask to
obtain a 2D spatial layout of the segmentation-categories across the scene,
designated by segmentation-based semantic features (SSFs). These features
represent, per segmentation-category, the pixel count, as well as the 2D
average position an... | http://arxiv.org/abs/2302.06432v3 |
Here we present two novel contributions for achieving quantum advantage in
solving difficult optimisation problems, both in theory and foreseeable
practice. (1) We introduce the ''Quantum Tree Generator'', an approach to
generate in superposition all feasible solutions of a given instance, yielding
together with amplit... | http://arxiv.org/abs/2310.06623v1 |
Segmentation of regions of interest in images of patients, is a crucial step
in many medical procedures. Deep neural networks have proven to be particularly
adept at this task. However, a key question is what type of deep neural network
to choose, and whether making a certain choice makes a difference. In this
work, we... | http://arxiv.org/abs/2303.11501v1 |
Sparse or $\ell_0$ adversarial attacks arbitrarily perturb an unknown subset
of the features. $\ell_0$ robustness analysis is particularly well-suited for
heterogeneous (tabular) data where features have different types or scales.
State-of-the-art $\ell_0$ certified defenses are based on randomized smoothing
and apply ... | http://arxiv.org/abs/2302.11628v4 |
When we compare the influences of two causes on an outcome, if the conclusion
from every group is against that from the conflation, we think there is
Simpson's Paradox. The Existing Causal Inference Theory (ECIT) can make the
overall conclusion consistent with the grouping conclusion by removing the
confounder's influe... | http://arxiv.org/abs/2302.09067v1 |
Learning from Label Proportions (LLP) is an established machine learning
problem with numerous real-world applications. In this setting, data items are
grouped into bags, and the goal is to learn individual item labels, knowing
only the features of the data and the proportions of labels in each bag.
Although LLP is a w... | http://arxiv.org/abs/2310.19065v1 |
Formal method-based analysis of the 5G Wireless Communication Protocol is
crucial for identifying logical vulnerabilities and facilitating an
all-encompassing security assessment, especially in the design phase. Natural
Language Processing (NLP) assisted techniques and most of the tools are not
widely adopted by the in... | http://arxiv.org/abs/2308.03277v1 |
The use of oncolytic viruses as cancer treatment has received considerable
attention in recent years, however the spatial dynamics of this viral infection
is still poorly understood. We present here a stochastic agent-based model
describing infected and uninfected cells for solid tumours, which interact with
viruses in... | http://arxiv.org/abs/2305.12386v2 |
Document image classification is different from plain-text document
classification and consists of classifying a document by understanding the
content and structure of documents such as forms, emails, and other such
documents. We show that the only existing dataset for this task (Lewis et al.,
2006) has several limitat... | http://arxiv.org/abs/2310.16356v1 |
RR Lyrae (RR Lyr) stars are a well-known and useful distance indicator for
old stellar populations such as globular clusters and dwarf galaxies.
Fundamental-mode RR Lyr (RRab) stars are commonly used to measure distances,
and the accuracy of the determined distance is strongly constrained by
metallicity. Here, we inves... | http://arxiv.org/abs/2308.02169v1 |
Magnetic fields are ubiquitous in the universe and are thought to play an
important role in various astrophysical processes. Polarization of thermal dust
emission from dust grains aligned with the magnetic field is widely used to
measure the two-dimensional magnetic field projected onto the plane of the sky
(POS), but ... | http://arxiv.org/abs/2310.17048v3 |
With the rise of phenomena like `fake news' and the growth of heavily-biased
media ecosystems, there has been increased attention on understanding and
evaluating media bias. Of particular note in the evaluation of media bias is
writing style bias, which includes lexical bias and framing bias. We propose a
novel approac... | http://arxiv.org/abs/2305.13098v1 |
Recent works usually address Dialog policy learning DPL by training a
reinforcement learning (RL) agent to determine the best dialog action. However,
existing works on deep RL require a large volume of agent-user interactions to
achieve acceptable performance. In this paper, we propose to make full use of
the plain tex... | http://arxiv.org/abs/2309.02240v1 |
Bangla (or Bengali) is the fifth most spoken language globally; yet, the
state-of-the-art NLP in Bangla is lagging for even simple tasks such as
lemmatization, POS tagging, etc. This is partly due to lack of a varied quality
corpus. To alleviate this need, we build Vacaspati, a diverse corpus of Bangla
literature. The ... | http://arxiv.org/abs/2307.05083v1 |
In analogy with the well-known 2-linkage tractor-trailer problem, we define a
2-linkage problem in the plane with novel non-holonomic ``no-slip'' conditions.
Using constructs from sub-Riemannian geometry, we look for geodesics
corresponding to linkage motion with these constraints (``tricycle
kinematics''). The paths o... | http://arxiv.org/abs/2307.13839v1 |
Computer graphics images (CGIs) are artificially generated by means of
computer programs and are widely perceived under various scenarios, such as
games, streaming media, etc. In practice, the quality of CGIs consistently
suffers from poor rendering during production, inevitable compression artifacts
during the transmi... | http://arxiv.org/abs/2303.08050v4 |
Domain decomposition methods (DDMs) are popular solvers for discretized
systems of partial differential equations (PDEs), with one-level and multilevel
variants. These solvers rely on several algorithmic and mathematical
parameters, prescribing overlap, subdomain boundary conditions, and other
properties of the DDM. Wh... | http://arxiv.org/abs/2301.11378v2 |
The use of pressurized bladders for stress control of superconducting magnets
was firstly proposed at Lawrence Berkeley National Laboratory (LBNL) in the
early 2000s. Since then, the so-called bladders and keys procedure has become
one of the reference techniques for the assembly of high-field accelerator
magnets and d... | http://arxiv.org/abs/2301.09537v1 |
Real-world datasets are typically imbalanced in the sense that only a few
classes have numerous samples, while many classes are associated with only a
few samples. As a result, a na\"ive ERM learning process will be biased towards
the majority classes, making it difficult to generalize to the minority
classes. To addre... | http://arxiv.org/abs/2310.04752v1 |
We investigate statistics and scaling laws of avalanches in two-dimensional
frictional particles by numerical simulations. We find that the critical
exponent for avalanche size distributions is governed by microscopic friction
between the particles in contact, where the exponent is larger and closer to
mean-field predi... | http://arxiv.org/abs/2305.00782v1 |
Flow-based models are widely used in generative tasks, including normalizing
flow, where a neural network transports from a data distribution $P$ to a
normal distribution. This work develops a flow-based model that transports from
$P$ to an arbitrary $Q$ where both distributions are only accessible via finite
samples. ... | http://arxiv.org/abs/2305.11857v4 |
Today, multiple new platforms are implementing qudits, $d$-level quantum
bases of information, for Quantum Information Processing (QIP). It is therefore
crucial to study their efficiencies for QIP compared to more traditional qubit
platforms. We present a comparative study of the infidelity scalings of a qudit
and $n$-... | http://arxiv.org/abs/2302.04543v3 |
We present the 1st-place solution of OpenLane Topology in Autonomous Driving
Challenge. Considering that topology reasoning is based on centerline detection
and traffic element detection, we develop a multi-stage framework for high
performance. Specifically, the centerline is detected by the powerful PETRv2
detector an... | http://arxiv.org/abs/2306.09590v1 |
Medical image quality assessment is an important aspect of image acquisition,
as poor-quality images may lead to misdiagnosis. Manual labelling of image
quality is a tedious task for population studies and can lead to misleading
results. While much research has been done on automated analysis of image
quality to addres... | http://arxiv.org/abs/2303.14479v1 |
We discuss how to resolve generic skew-symmetric and generic symmetric
determinantal singularities. The key ingredients are (skew-) symmetry
preserving matrix operations in order to deduce an inductive argument. | http://arxiv.org/abs/2308.01460v2 |
A formulation of the effective hybridization model is developed which
describes Fermi-liquid Kondo and fractionalized Fermi-liquid (deconfinement
spin-liquid-like) states with account of possible magnetic ordering. A unified
consideration of charge and magnetic fluctuation is performed within
perturbation theory in hyb... | http://arxiv.org/abs/2309.00457v1 |
We evaluate benchmark deep reinforcement learning (DRL) algorithms on the
task of portfolio optimisation under a simulator. The simulator is based on
correlated geometric Brownian motion (GBM) with the Bertsimas-Lo (BL) market
impact model. Using the Kelly criterion (log utility) as the objective, we can
analytically d... | http://arxiv.org/abs/2307.07694v2 |
Quantum Neural Networks (QNNs) are suggested as one of the quantum algorithms
which can be efficiently simulated with a low depth on near-term quantum
hardware in the presence of noises. However, their performance highly relies on
choosing the most suitable architecture of Variational Quantum Algorithms
(VQAs), and the... | http://arxiv.org/abs/2310.02323v1 |
The integration of knowledge graphs with deep learning is thriving in
improving the performance of various natural language processing (NLP) tasks.
In this paper, we focus on knowledge-infused link prediction and question
answering using language models, T5, and BLOOM across three domains: Aviation,
Movie, and Web. In ... | http://arxiv.org/abs/2301.04013v1 |
We present a many-channel microscopic model that extends the three-cluster
model previously formulated in \cite{2009NPA...V37}. This extended model
incorporates multiple three-cluster configurations, which are subsequently
reduced to a comprehensive set of binary channels. These channels dictate the
dynamics of various... | http://arxiv.org/abs/2310.13979v2 |
As the physical size of recent CMOS image sensors (CIS) gets smaller, the
latest mobile cameras are adopting unique non-Bayer color filter array (CFA)
patterns (e.g., Quad, Nona, QxQ), which consist of homogeneous color units with
adjacent pixels. These non-Bayer sensors are superior to conventional Bayer CFA
thanks to... | http://arxiv.org/abs/2307.10667v1 |
Recent studies on nucleon and alpha knockout reactions have shown that the
distorted-wave impulse approximation (DWIA) is a simple and accurate method to
describe these reactions. As it has been argued for decades, the nuclear
absorption is one of the most important ingredients of the DWIA calculation. In
this work, we... | http://arxiv.org/abs/2303.13841v2 |
The distributed coloring problem is at the core of the area of distributed
graph algorithms and it is a problem that has seen tremendous progress over the
last few years. Much of the remarkable recent progress on deterministic
distributed coloring algorithms is based on two main tools: a) defective
colorings in which e... | http://arxiv.org/abs/2304.09666v2 |
We introduce CLaMP: Contrastive Language-Music Pre-training, which learns
cross-modal representations between natural language and symbolic music using a
music encoder and a text encoder trained jointly with a contrastive loss. To
pre-train CLaMP, we collected a large dataset of 1.4 million music-text pairs.
It employe... | http://arxiv.org/abs/2304.11029v4 |
In this paper, we study the largest eigenvalues of sample covariance matrices
with elliptically distributed data. We consider the sample covariance matrix
$Q=YY^*,$ where the data matrix $Y \in \mathbb{R}^{p \times n}$ contains i.i.d.
$p$-dimensional observations $\mathbf{y}_i=\xi_iT\mathbf{u}_i,\;i=1,\dots,n.$
Here $\... | http://arxiv.org/abs/2304.07893v2 |
This paper proposes a novel time-frequency warped waveform for short symbols,
massive machine-type communication (mMTC), and internet of things (IoT)
applications. The waveform is composed of asymmetric raised cosine (RC) pulses
to increase the signal containment in time and frequency domains. The waveform
has low powe... | http://arxiv.org/abs/2305.01113v1 |
Extreme mass-ratio inspirals (EMRIs) are expected to have considerable
eccentricity when emitting gravitational waves (GWs) in the LISA band.
Developing GW templates that remain phase accurate over these long inspirals
requires the use of second-order self-force theory and practical second-order
self-force calculations... | http://arxiv.org/abs/2306.17221v2 |
We study lower bounds for the problem of approximating a one dimensional
distribution given (noisy) measurements of its moments. We show that there are
distributions on $[-1,1]$ that cannot be approximated to accuracy $\epsilon$ in
Wasserstein-1 distance even if we know \emph{all} of their moments to
multiplicative acc... | http://arxiv.org/abs/2307.00474v1 |
We propose an unsupervised approach to paraphrasing multiword expressions
(MWEs) in context. Our model employs only monolingual corpus data and
pre-trained language models (without fine-tuning), and does not make use of any
external resources such as dictionaries. We evaluate our method on the SemEval
2022 idiomatic se... | http://arxiv.org/abs/2306.01443v1 |
For healthcare datasets, it is often not possible to combine data samples
from multiple sites due to ethical, privacy or logistical concerns. Federated
learning allows for the utilisation of powerful machine learning algorithms
without requiring the pooling of data. Healthcare data has many simultaneous
challenges whic... | http://arxiv.org/abs/2310.02874v1 |
Estimating the empirical distribution of a scalar-valued data set is a basic
and fundamental task. In this paper, we tackle the problem of estimating an
empirical distribution in a setting with two challenging features. First, the
algorithm does not directly observe the data; instead, it only asks a limited
number of t... | http://arxiv.org/abs/2301.05682v1 |
Federated learning has gained popularity for distributed learning without
aggregating sensitive data from clients. But meanwhile, the distributed and
isolated nature of data isolation may be complicated by data quality, making it
more vulnerable to noisy labels. Many efforts exist to defend against the
negative impacts... | http://arxiv.org/abs/2306.11650v3 |
For the first time, the sulphur abundance relative to hydrogen (S/H) in the
Narrow Line Regions of a sample of Seyfert 2 nuclei (Sy 2s) has been derived
via direct estimation of the electron temperature. Narrow emission line
intensities from the SDSS DR17 [in the wavelength range 3000 < $\lambda$ <
9100] and from the l... | http://arxiv.org/abs/2302.12876v1 |
We study simultaneous soft ($0.7 - 7$ keV) and hard ($7 - 20$ keV) X-ray
light curves at a total of eight epochs during $2016 - 2019$ of two TeV blazars
Mrk 421 and 1ES 1959+650 observed by the SXT and LAXPC instruments onboard
AstroSat. The light curves are $45 - 450$ ks long and may be sampled with time
bins as short... | http://arxiv.org/abs/2307.09336v1 |
Diffusion models have recently been recognised as efficient inverse problem
solvers due to their ability to produce high-quality reconstruction results
without relying on pairwise data training. Existing diffusion-based solvers
utilize Gradient Descent strategy to get a optimal sample solution. However,
these solvers o... | http://arxiv.org/abs/2307.12070v2 |
Muon radiography is an innovative and non-destructive technique for internal
density structure imaging, based on measuring the attenuation of cosmic-ray
muons after they penetrate the target. Due to the strong penetration ability of
muons, the detection range of muon radiography can reach the order of hundreds
of meter... | http://arxiv.org/abs/2303.09819v1 |
Group-invariant generative adversarial networks (GANs) are a type of GANs in
which the generators and discriminators are hardwired with group symmetries.
Empirical studies have shown that these networks are capable of learning
group-invariant distributions with significantly improved data efficiency. In
this study, we ... | http://arxiv.org/abs/2305.13517v3 |
In this work, we study unique continuation properties of Robin boundary value
problems with Robin potentials $\eta \in L_{d-1+\varepsilon}$. Our results
generalize earlier ones where $\eta$ was assumed to be either zero (Neumann
problem) or differentiable. | http://arxiv.org/abs/2304.04342v3 |
Our main result is the analysis of singularities of integrands of integrals
representing matrix elements of scattering matrix and inclusive scattering
matrix in perturbation theory. These results are proven for any quantum field
theory in any dimension. | http://arxiv.org/abs/2308.05389v1 |
We consider infinite horizon Markov decision processes (MDPs) with fast-slow
structure, meaning that certain parts of the state space move "fast" (and in a
sense, are more influential) while other parts transition more "slowly." Such
structure is common in real-world problems where sequential decisions need to
be made ... | http://arxiv.org/abs/2301.00922v1 |
Fake news detection has been a critical task for maintaining the health of
the online news ecosystem. However, very few existing works consider the
temporal shift issue caused by the rapidly-evolving nature of news data in
practice, resulting in significant performance degradation when training on
past data and testing... | http://arxiv.org/abs/2306.14728v1 |
Recent advances in dimensionality reduction have achieved more accurate
lower-dimensional embeddings of high-dimensional data. In addition to
visualisation purposes, these embeddings can be used for downstream processing,
including batch effect normalisation, clustering, community detection or
trajectory inference. We ... | http://arxiv.org/abs/2309.02917v1 |
We conducted a global comparative analysis of the coverage of American topics
in different language versions of Wikipedia, using over 90 million Wikidata
items and 40 million Wikipedia articles in 58 languages. Our study aimed to
investigate whether Americanization is more or less dominant in different
regions and cult... | http://arxiv.org/abs/2307.14401v1 |
Multiple choice exams are widely used to assess candidates across a diverse
range of domains and tasks. To moderate question quality, newly proposed
questions often pass through pre-test evaluation stages before being deployed
into real-world exams. Currently, this evaluation process is manually
intensive, which can le... | http://arxiv.org/abs/2306.13047v4 |
Artificial lattices have been used as a platform to extend the application of
topological physics beyond electronic systems. Here, using the two-dimensional
Lieb lattice as a prototypical example, we show that an array of disks which
each support localized plasmon modes give rise to an analog of the quantum spin
Hall s... | http://arxiv.org/abs/2305.12609v1 |
Denoising diffusion models have emerged as one of the most powerful
generative models in recent years. They have achieved remarkable success in
many fields, such as computer vision, natural language processing (NLP), and
bioinformatics. Although there are a few excellent reviews on diffusion models
and their applicatio... | http://arxiv.org/abs/2302.10907v1 |
All known elimination techniques for (first-order) algorithmic
differentiation (AD) rely on Jacobians to be given for a set of relevant
elemental functions. Realistically, elemental tangents and adjoints are given
instead. They can be obtained by applying software tools for AD to the parts of
a given modular numerical ... | http://arxiv.org/abs/2303.16087v1 |
This article considers the problem of risk-optimal allocation of security
measures when the actuators of an uncertain control system are under attack. We
consider an adversary injecting false data into the actuator channels. The
attack impact is characterized by the maximum performance loss caused by a
stealthy adversa... | http://arxiv.org/abs/2304.02055v3 |
In recent years, significant progress has been made in the field of protein
function prediction with the development of various machine-learning
approaches. However, most existing methods formulate the task as a
multi-classification problem, i.e. assigning predefined labels to proteins. In
this work, we propose a novel... | http://arxiv.org/abs/2307.14367v3 |
We consider the impact of the unitary averaging framework on single and
two-mode linear optical gates. We demonstrate that this allows a trade-off
between the probability of success and gate fidelity, with perfect fidelity
gates being achievable for a finite decrease in the probability of success, at
least in principle... | http://arxiv.org/abs/2304.14637v2 |
Let $\widehat G \subseteq G$ be complex reductive algebraic groups. The
branching problem that aims to study $G$-modules as $\widehat G$-modules is
encoded by a collection of branching multiplicities parameterised by pairs of
dominant weights. The branching algebra $Br(G,\widehat G)$ is a graded algebra
whose dimension... | http://arxiv.org/abs/2310.11808v2 |
Passive space-borne radiometers operating in the 1400-1427 MHz protected
frequency band face radio frequency interference (RFI) from terrestrial
sources. With the growth of wireless devices and the appearance of new
technologies, the possibility of sharing this spectrum with other technologies
would introduce more RFI ... | http://arxiv.org/abs/2304.13158v1 |
Given the increasing volume and quality of genomics data, extracting new
insights requires interpretable machine-learning models. This work presents
Genomic Interpreter: a novel architecture for genomic assay prediction. This
model outperforms the state-of-the-art models for genomic assay prediction
tasks. Our model ca... | http://arxiv.org/abs/2306.05143v2 |
We propose a quantum programming language that generalizes the
$\lambda$-calculus. The language is non-linear; duplicated variables denote,
not cloning of quantum data, but sharing a qubit's state; that is, producing an
entangled pair of qubits whose amplitudes are identical with respect to a
chosen basis. The language... | http://arxiv.org/abs/2303.17399v1 |
A task-sequencing simulator in robotics manipulation to integrate
simulation-for-learning and simulation-for-execution is introduced. Unlike
existing machine-learning simulation where a non-decomposed simulation is used
to simulate a training scenario, the task-sequencing simulator runs a composed
simulation using buil... | http://arxiv.org/abs/2301.01382v1 |
The interaction between localized emitters and quantum fields, both in
relativistic settings and in the case of ultra-strong couplings, requires
non-perturbative methods beyond the rotating-wave approximation. In this work
we employ chain-mapping methods to achieve a numerically exact treatment of the
interaction betwe... | http://arxiv.org/abs/2306.11136v2 |
Consider a given planar circular region, in which there is an unknown number
of smart mobile evaders. We wish to detect evaders using a line formation of
sweeping agents whose total sensing length is predetermined. We propose
procedures for designing spiral sweeping protocols that ensure the successful
completion of th... | http://arxiv.org/abs/2305.08137v1 |
In online monitoring, we first synthesize a monitor from a formal
specification, which later runs in tandem with the system under study,
incrementally receiving its progress and evolving with the system. In offline
monitoring the trace is logged as the system progresses to later do post-mortem
analysis after the system... | http://arxiv.org/abs/2307.06763v1 |
We present a necessary and sufficient conditions under which the sum of two
EP elements in a *-ring has core inverse. As an application, we establish the
conditions under which a block complex matrix with EP sub-blocks has core
inverse. | http://arxiv.org/abs/2306.09779v1 |
In this note we prove sharp lower error bounds for numerical methods for
jump-diffusion stochastic differential equations (SDEs) with discontinuous
drift. We study the approximation of jump-diffusion SDEs with non-adaptive as
well as jump-adapted approximation schemes and provide lower error bounds of
order $3/4$ for b... | http://arxiv.org/abs/2303.05945v3 |
In this paper, we focus on analyzing the supercloseness property of a
two-dimensional singularly perturbed convection-diffusion problem with
exponential boundary layers. The local discontinuous Galerkin (LDG) method with
piecewise tensor-product polynomials of degree k is applied to Bakhvalov-type
mesh. By developing s... | http://arxiv.org/abs/2305.10778v1 |
Indenofluorenes are non-benzenoid conjugated hydrocarbons that have received
great interest owing to their unusual electronic structure and potential
applications in non-linear optics and photovoltaics. Here, we report the
generation of unsubstituted indeno[1,2-a]fluorene, the final and yet unreported
parent indenofluo... | http://arxiv.org/abs/2303.04483v2 |
A common way to use large pre-trained language models for downstream tasks is
to fine tune them using additional layers. This may not work well if downstream
domain is a specialized domain whereas the large language model has been
pre-trained on a generic corpus. In this paper, we discuss the use of regular
expression ... | http://arxiv.org/abs/2305.18324v1 |
In this paper, we present a new dataset and benchmark tailored to the task of
semantic similarity in song lyrics. Our dataset, originally consisting of 2775
pairs of Spanish songs, was annotated in a collective annotation experiment by
63 native annotators. After collecting and refining the data to ensure a high
degree... | http://arxiv.org/abs/2306.01325v1 |
Many data symmetries can be described in terms of group equivariance and the
most common way of encoding group equivariances in neural networks is by
building linear layers that are group equivariant. In this work we investigate
whether equivariance of a network implies that all layers are equivariant. On
the theoretic... | http://arxiv.org/abs/2305.17017v2 |
In this work, drawing inspiration from the type of noise present in real
hardware, we study the output distribution of random quantum circuits under
practical non-unital noise sources with constant noise rates. We show that even
in the presence of unital sources like the depolarizing channel, the
distribution, under th... | http://arxiv.org/abs/2306.16659v1 |
With the introduction of the term blockchain in 2008, its interest has been
increasing in the community since the idea was coined. The reason for this
interest is because it provides anonymity, security and integrity without any
central third party organisation in control of data and transaction. It has
attracted huge ... | http://arxiv.org/abs/2303.14848v1 |
In this paper, we suggest a novel method for detecting mortality
deceleration. We focus on the gamma-Gompertz frailty model and suggest the
subtraction of a penalty in the log-likelihood function as an alternative to
traditional likelihood inference and hypothesis testing. Over existing methods,
our method offers advan... | http://arxiv.org/abs/2301.02853v4 |
We provide an algorithm for evolving general spin-$s$ Gross-Pitaevskii /
non-linear Schr\"odinger systems carrying a variety of interactions, where the
$2s+1$ components of the `spinor' field represent the different
spin-multiplicity states. We consider many nonrelativistic interactions up to
quartic order in the Schr\... | http://arxiv.org/abs/2305.01675v1 |
We apply the Thom-Milnor theorem to obtain the upper bounds on the amount of
isolated (1) critical points of a potential generated by several fixed point
charges(Maxwell's problem on point charges), (2) critical points of SINR, (3)
critical points of a potential generated by several fixed Newtonian point
masses augment... | http://arxiv.org/abs/2307.00312v2 |
Imitation learning is a powerful tool for training robot manipulation
policies, allowing them to learn from expert demonstrations without manual
programming or trial-and-error. However, common methods of data collection,
such as human supervision, scale poorly, as they are time-consuming and
labor-intensive. In contras... | http://arxiv.org/abs/2305.16309v3 |
Any effort to localise an event in the vicinity of the Planck length scale,
only where the quantum gravitational effects are predicted to be observed, will
invariably result in gravitational collapse. One must postulate noncommutative
(NC) algebra between space-time coordinates, which are now elevated to the
status of ... | http://arxiv.org/abs/2306.08467v1 |
Here, we show that partial transposition, which is initially introduced to
study entanglement, can also inspire many results on quantum discord including:
(I) a discord criterion of spectrum invariant under partial transposition,
stating that one state must contain discord if its spectrum is changed by the
action of pa... | http://arxiv.org/abs/2305.09229v1 |
In the burgeoning realm of Internet of Things (IoT) applications on edge
devices, data stream compression has become increasingly pertinent. The
integration of added compression overhead and limited hardware resources on
these devices calls for a nuanced software-hardware co-design. This paper
introduces CStream, a pio... | http://arxiv.org/abs/2306.10228v2 |
This paper studies the complexity of classical modal logics and of their
extension with fixed-point operators, using translations to transfer results
across logics. In particular, we show several complexity results for
multi-agent logics via translations to and from the $\mu$-calculus and modal
logic, which allow us to... | http://arxiv.org/abs/2306.16881v4 |
Large text-to-image models have shown remarkable performance in synthesizing
high-quality images. In particular, the subject-driven model makes it possible
to personalize the image synthesis for a specific subject, e.g., a human face
or an artistic style, by fine-tuning the generic text-to-image model with a few
images... | http://arxiv.org/abs/2306.07754v1 |
We investigate a ballistic InSb nanoflag-based Josephson junction with Nb
superconducting contacts. The high transparency of the
superconductor-semiconductor interfaces enables the exploration of quantum
transport with parallel short and long conducting channels. Under microwave
irradiation, we observe half-integer Sha... | http://arxiv.org/abs/2303.05951v1 |
We present an approximate attention mechanism named HyperAttention to address
the computational challenges posed by the growing complexity of long contexts
used in Large Language Models (LLMs). Recent work suggests that in the
worst-case scenario, quadratic time is necessary unless the entries of the
attention matrix a... | http://arxiv.org/abs/2310.05869v3 |
Text-based Person Search (TPS), is targeted on retrieving pedestrians to
match text descriptions instead of query images. Recent Vision-Language
Pre-training (VLP) models can bring transferable knowledge to downstream TPS
tasks, resulting in more efficient performance gains. However, existing TPS
methods improved by VL... | http://arxiv.org/abs/2303.04497v1 |
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