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We study the problem of multilateral collaboration among agents with
transferable utilities. Any group of agents can sign a contract consisting of a
primitive contract and monetary transfers among the signatories. We propose a
dynamic auction that finds a stable outcome when primitive contracts are gross
complements fo... | arXiv |
This research proposes the development of a next generation airline
reservation system that incorporates the Cloud microservices, distributed
artificial intelligence modules and the blockchain technology to improve on the
efficiency, safety and customer satisfaction. The traditional reservation
systems encounter issues... | arXiv |
Spin fluctuations have been proposed as a key mechanism for mediating
superconductivity, particularly in high-temperature superconducting cuprates,
where conventional electron-phonon interactions alone cannot account for the
observed critical temperatures. Traditionally, their role has been analyzed
through tight-bindi... | arXiv |
Deep learning (DL)-based methods have demonstrated remarkable achievements in
addressing orthogonal frequency division multiplexing (OFDM) channel estimation
challenges. However, existing DL-based methods mainly rely on separate real and
imaginary inputs while ignoring the inherent correlation between the two
streams, ... | arXiv |
We study Friedel oscillations (FOs) in two-dimensional topological materials
with Mexican hat band dispersion, which attract great interest due to the
complex of its inherent non-trivial features, including the Van Hove
singularity, doubly connected Fermi surface, non-trivial quantum-geometric
properties, and the prese... | arXiv |
The tree edit distance (TED) between two rooted ordered trees with $n$ nodes
labeled from an alphabet $\Sigma$ is the minimum cost of transforming one tree
into the other by a sequence of valid operations consisting of insertions,
deletions and relabeling of nodes. The tree edit distance is a well-known
generalization ... | arXiv |
During the COVID-19 crisis, mechanistic models have been proven fundamental
to guide evidence-based decision making. However, time-critical decisions in a
dynamically changing environment restrict the time available for modelers to
gather supporting evidence. As infectious disease dynamics are often
heterogeneous on a ... | arXiv |
When training data are distributed across{ time or space,} covariate shift
across fragments of training data biases cross-validation, compromising model
selection and assessment. We present \textit{Fragmentation-Induced
covariate-shift Remediation} ($FIcsR$), which minimizes an $f$-divergence
between a fragment's covar... | arXiv |
Theoretically, Josephson junction (JJ) arrays can exhibit either a
superconducting or insulating state, separated by a quantum phase transition
(QPT). In this work, we analyzed published data on QPTs in three
one-dimensional arrays and two two-dimensional arrays using a recently
developed phenomenological model of QPTs... | arXiv |
Detecting Beyond Standard Model (BSM) signals in high-energy particle
collisions presents significant challenges due to complex data and the need to
differentiate rare signal events from Standard Model (SM) backgrounds. This
study investigates the efficacy of deep learning models, specifically Deep
Neural Networks (DNN... | arXiv |
Imagine having a system to control and only know that it belongs to a certain
class of dynamical systems. Would it not be amazing to simply plug in a
controller and have it work as intended? With the rise of in-context learning
and powerful architectures like Transformers, this might be possible, and we
want to show it... | arXiv |
Learning natural and diverse behaviors from human motion datasets remains
challenging in physics-based character control. Existing conditional
adversarial models often suffer from tight and biased embedding distributions
where embeddings from the same motion are closely grouped in a small area and
shorter motions occup... | arXiv |
Federated Learning (FL) enables clients to train a joint model without
disclosing their local data. Instead, they share their local model updates with
a central server that moderates the process and creates a joint model. However,
FL is susceptible to a series of privacy attacks. Recently, the source
inference attack (... | arXiv |
Recovering impact parameter variations in multi-planet systems is an
effective approach for detecting non-transiting planets and refining planetary
mass estimates. Traditionally, two methodologies have been employed: the
Individual Fit, which fits each transit independently to analyze impact
parameter changes, and the ... | arXiv |
This textbook introduces the basic concepts of the theory of causal fermion
systems, a recent approach to the description of fundamental physics. The
theory yields quantum mechanics, general relativity and quantum field theory as
limiting cases and is therefore a candidate for a unified physical theory. From
the mathem... | arXiv |
Graph Anomaly Detection (GAD) aims to identify uncommon, deviated, or
suspicious objects within graph-structured data. Existing methods generally
focus on a single graph object type (node, edge, graph, etc.) and often
overlook the inherent connections among different object types of graph
anomalies. For instance, a mon... | arXiv |
As the integration of the Large Language Models (LLMs) into various
applications increases, so does their susceptibility to misuse, raising
significant security concerns. Numerous jailbreak attacks have been proposed to
assess the security defense of LLMs. Current jailbreak attacks mainly rely on
scenario camouflage, p... | arXiv |
We show that two natural and a priori unrelated structures encapsulate the
same data, namely certain commutative and associative product structures and a
class of superintegrable Hamiltonian systems. More precisely, consider a
Euclidean space of dimension at least three, equipped with a commutative and
associative prod... | arXiv |
Radio Frequency Fingerprinting (RFF) techniques allow a receiver to
authenticate a transmitter by analyzing the physical layer of the radio
spectrum. Although the vast majority of scientific contributions focus on
improving the performance of RFF considering different parameters and
scenarios, in this work, we consider... | arXiv |
We describe a method for constructing $n$-orthogonal coordinate systems in
constant curvature spaces. The construction proposed is a modification of
Krichever's method for producing orthogonal curvilinear coordinate systems in
the $n$-dimensional Euclidean space. To demonstrate how this method works, we
construct examp... | arXiv |
Compared to rigid hands, underactuated compliant hands offer greater
adaptability to object shapes, provide stable grasps, and are often more
cost-effective. However, they introduce uncertainties in hand-object
interactions due to their inherent compliance and lack of precise finger
proprioception as in rigid hands. Th... | arXiv |
Sound event localization and detection (SELD) has seen substantial
advancements through learning-based methods. These systems, typically trained
from scratch on specific datasets, have shown considerable generalization
capabilities. Recently, deep neural networks trained on large-scale datasets
have achieved remarkable... | arXiv |
COVID-19 is extremely contagious and its rapid growth has drawn attention
towards its early diagnosis. Early diagnosis of COVID-19 enables healthcare
professionals and government authorities to break the chain of transition and
flatten the epidemic curve. With the number of cases accelerating across the
developed world... | arXiv |
On a connected finite graph, we propose an evolution of weights including
Ollivier's Ricci flow as a special case. During the evolution process, on each
edge, the speed of change of weight is exactly the difference between the
Wasserstein distance related to two probability measures and certain graph
distance. Here the... | arXiv |
Purpose: This study aims to assess the accuracy of degree adaptive strategies
in the context of incompressible Navier-Stokes flows using the high order
hybridisable discontinuous Galerkin (HDG) method.
Design/methodology/approach: The work presents a series of numerical examples
to show the inability of standard degr... | arXiv |
Let $Z$ be an abelian group, $ x \in Z$, and $[x] = \{ y : \langle x \rangle
= \langle y \rangle \}$. A graph is called integral if all its eigenvalues are
integers. It is known that a Cayley graph is integral if and only if its
connection set can be express as union of the sets $[x] $. In this paper, we
determine an a... | arXiv |
Context-free language (CFL) reachability is a standard approach in static
analyses, where the analysis question is phrased as a language reachability
problem on a graph $G$ wrt a CFL L. While CFLs lack the expressiveness needed
for high precision, common formalisms for context-sensitive languages are such
that the corr... | arXiv |
In this paper, we derive a new Kalman filter with probabilistic data
association between measurements and states. We formulate a variational
inference problem to approximate the posterior density of the state conditioned
on the measurement data. We view the unknown data association as a latent
variable and apply Expect... | arXiv |
We define and study geometric versions of the Benoist limit cone and matrix
joint spectrum, which we call the translation cone and the joint translation
spectrum, respectively. These new notions allow us to generalize the study of
embeddings into products of rank-one simple Lie groups and to compare group
actions on di... | arXiv |
Cardinality sketches are compact data structures for representing sets or
vectors, enabling efficient approximation of their cardinality (or the number
of nonzero entries). These sketches are space-efficient, typically requiring
only logarithmic storage relative to input size, and support incremental
updates, allowing ... | arXiv |
In this paper, we study the partial data inverse problem for nonlinear
magnetic Schr\"odinger equations. We show that the knowledge of the
Dirichlet-to-Neumann map, measured on an arbitrary part of the boundary,
determines the time-dependent linear coefficients, electric and magnetic
potentials, and nonlinear coefficie... | arXiv |
Transcranial direct current stimulation (tDCS) has emerged as a promising
non-invasive therapeutic intervention for major depressive disorder (MDD), yet
its effects on neural mechanisms remain incompletely understood. This study
investigates the impact of tDCS in individuals with MDD using resting-state EEG
data and ne... | arXiv |
Collision-resistant, cryptographic hash (CRH) functions have long been an
integral part of providing security and privacy in modern systems. Certain
constructions of zero-knowledge proof (ZKP) protocols aim to utilize CRH
functions to perform cryptographic hashing. Standard CRH functions, such as
SHA2, are inefficient ... | arXiv |
The efficient scheduling of multi-task jobs across multiprocessor systems has
become increasingly critical with the rapid expansion of computational systems.
This challenge, known as Multiprocessor Multitask Scheduling (MPMS), is
essential for optimizing the performance and scalability of applications in
fields such as... | arXiv |
Video geolocalization is a crucial problem in current times. Given just a
video, ascertaining where it was captured from can have a plethora of
advantages. The problem of worldwide geolocalization has been tackled before,
but only using the image modality. Its video counterpart remains relatively
unexplored. Meanwhile,... | arXiv |
We use multi-regional input-output analysis to calculate the paid labour,
energy, emissions, and material use required to provide basic needs for all
people. We calculate two different low-consumption scenarios, using the UK as a
case study: (1) a "decent living" scenario, which includes only the bare
necessities, and ... | arXiv |
We consider non-Hermitian tight-binding one-dimensional Hamiltonians and show
that imposing a certain symmetry causes all eigenvalues to pair up and the
corresponding eigenstates to coalesce in pairs. This Pairwise Coalescence (PC)
is an enhanced version of an exceptional point -- the complete spectrum pairs
up, not ju... | arXiv |
This study focuses on Intelligent Fault Diagnosis (IFD) in rotating machinery
utilizing a single microphone and a data-driven methodology, effectively
diagnosing 42 classes of fault types and severities. The research leverages
sound data from the imbalanced MaFaulDa dataset, aiming to strike a balance
between high perf... | arXiv |
This paper introduces the Smooth Zone Barrier Lyapunov Function (s-ZBLF) for
output and full-state constrained nonlinear control systems. Unlike traditional
BLF methods, where control effort continuously increases as the state moves
toward the constraint boundaries, the s-ZBLF method keeps the control effort
nearly zer... | arXiv |
Coronal Mass Ejections (CMEs) erupting from the host star are expected to
have effects on the atmospheric erosion processes of the orbiting planets. For
planets with a magnetosphere, the embedded magnetic field in the CMEs is
thought to be the most important parameter to affect planetary mass loss. In
this work, we inv... | arXiv |
We introduce stationary generalized Bratteli diagrams $B$ which are
represented as the union of countably many classical Pascal-Bratteli diagrams.
We describe all ergodic invariant measures on $B$. We show that there exist
orders which produce no infinite minimal or maximal paths and the corresponding
Vershik map is a ... | arXiv |
We investigate the locality properties of $T \overline T$-deformed CFTs
within perturbation theory. Up to third order in the deformation parameter, we
find a Hamiltonian operator which solves the flow equation, reproduces the
Zamolodchikov energy spectrum, and is consistent with quasi-locality of the
theory. This Hamil... | arXiv |
This work delves into the study of flavor invariants and, in special,
invariants capable of detecting CP (Charge-Parity) violation. Through the
mathematical tool of the Hilbert series, we systematically enumerate and
explore flavor invariants that are unchanged under weak basis transformations.
After reviewing the Hilb... | arXiv |
We used the Condor Array Telescope to obtain deep imaging observations
through luminance broad-band and He II, [O III], He I, H$\alpha$, [N II], and
[S II] narrow-band filters of an extended region of the M81 Group spanning
$\approx 8 \times 8$ deg$^2$ on the sky centered near M81 and M82. Here we
report aspects of the... | arXiv |
We used the Condor Array Telescope to obtain deep imaging observations
through the luminance broad-band and He II 468.6 nm, [O III] 500.7 nm, He I
587.5 nm, H$\alpha$, [N II] 658.4 nm, and [S II] 671.6 nm narrow-band filters
of an extended region comprising 13 "Condor fields" spanning $\approx 8 \times
8$ deg$^2$ on th... | arXiv |
The ability of large language models to generate complex texts allows them to
be widely integrated into many aspects of life, and their output can quickly
fill all network resources. As the impact of LLMs grows, it becomes
increasingly important to develop powerful detectors for the generated text.
This detector is ess... | arXiv |
Machine learning models have demonstrated substantial performance
enhancements over non-learned alternatives in various fundamental data
management operations, including indexing (locating items in an array),
cardinality estimation (estimating the number of matching records in a
database), and range-sum estimation (est... | arXiv |
Together with David Schlang we computed the discriminants of the invariant
Hermitian forms for all indicator $o$ even degree absolutely irreducible
characters of the ATLAS groups supplementing the tables of orthogonal
determinants computed in collaboration with Richard Parker, Tobias Braun and
Thomas Breuer. The method... | arXiv |
Voice user interfaces (VUIs) have facilitated the efficient interactions
between humans and machines through spoken commands. Since real-word acoustic
scenes are complex, speech enhancement plays a critical role for robust VUI.
Transformer and its variants, such as Conformer, have demonstrated cutting-edge
results in s... | arXiv |
Advances in artificial intelligence (AI) have great potential to help address
societal challenges that are both collective in nature and present at national
or trans-national scale. Pressing challenges in healthcare, finance,
infrastructure and sustainability, for instance, might all be productively
addressed by levera... | arXiv |
We revisit particle creation in strong fields, and backreaction on those
fields, from an amplitudes perspective. We describe the strong field by an
initial coherent state of photons which we explicitly evolve in time, thus
going beyond the background field approximation, and then consider observables
which quantify the... | arXiv |
We study a class of dynamical systems generated by random substitutions,
which contains both intrinsically ergodic systems and instances with several
measures of maximal entropy. In this class, we show that the measures of
maximal entropy are classified by invariance under an appropriate symmetry
relation. All measures... | arXiv |
Let $G=(V,E)$ be a simple graph of order $n$. A Majority Roman Dominating
Function (MRDF) on a graph G is a function $f: V\rightarrow\{-1, +1, 2\}$ if
the sum of its function values over at least half the closed neighborhoods is
at least one , this is , for at least half of the vertices $v\in V$,
$f(N[v])\geq 1$. Moreo... | arXiv |
Multi-object tracking is advancing through two dominant paradigms:
traditional tracking by detection and newly emerging tracking by query. In this
work, we fuse them together and propose the tracking-by-detection-and-query
paradigm, which is achieved by a Learnable Associator. Specifically, the basic
information intera... | arXiv |
Recently, the successful synthesis of the pentagonal form of PdTe$_{2}$
monolayer (\emph{p}-PdTe$_{2}$) was reported [Liu~\emph{et al.}, Nature
Materials \textbf{23}, 1339 (2024)]. In this work, we present an extensive
first-principles density-functional theory (DFT) based computational study of
vacancies in this mater... | arXiv |
This paper presents ViTOC (Vision Transformer and Object-aware Captioner), a
novel vision-language model for image captioning that addresses the challenges
of accuracy and diversity in generated descriptions. Unlike conventional
approaches, ViTOC employs a dual-path architecture based on Vision Transformer
and object d... | arXiv |
The ground state properties of strongly rotating bosons confined in an
asymmetric anharmonic potential exhibit a split density distribution. However,
the out-of-equilibrium dynamics of this split structure remain largely
unexplored. Given that rotation is responsible for the breakup of the bosonic
cloud, we investigate... | arXiv |
Text emotion detection constitutes a crucial foundation for advancing
artificial intelligence from basic comprehension to the exploration of
emotional reasoning. Most existing emotion detection datasets rely on manual
annotations, which are associated with high costs, substantial subjectivity,
and severe label imbalanc... | arXiv |
Online controlled experiments, or A/B tests, are large-scale randomized
trials in digital environments. This paper investigates the estimands of the
difference-in-means estimator in these experiments, focusing on scenarios with
repeated measurements on users. We compare cumulative metrics that use all
post-exposure dat... | arXiv |
This paper investigates the semantic communication and cooperative tracking
control for an UAV swarm comprising a leader UAV and a group of follower UAVs,
all interconnected via unreliable wireless multiple-input-multiple-output
(MIMO) channels. Initially, we develop a dynamic model for the UAV swarm that
accounts for ... | arXiv |
Generative Artificial Intelligence offers a powerful tool for adversaries who
wish to engage in influence operations, such as the Chinese Spamouflage
operation and the Russian Internet Research Agency effort that both sought to
interfere with recent US election cycles. Therefore, this study seeks to
investigate the pro... | arXiv |
Depth measures quantify central tendency in the analysis of statistical and
geometric data. Selecting a depth measure that is simple and efficiently
computable is often important, e.g., when calculating depth for multiple query
points or when applied to large sets of data. In this work, we introduce
\emph{Hyperplane Di... | arXiv |
Determining the atomic-level structure of crystalline solids is critically
important across a wide array of scientific disciplines. The challenges
associated with obtaining samples suitable for single-crystal diffraction,
coupled with the limitations inherent in classical structure determination
methods that primarily ... | arXiv |
A charge qubit couples to environmental electric field fluctuations through
its dipole moment, resulting in fast decoherence. We propose the p orbital (pO)
qubit, formed by the single electron, p-like valence states of a five-electron
Si quantum dot, which couples to charge noise through the quadrupole moment. We
demon... | arXiv |
In the past two years, large language models (LLMs) have achieved rapid
development and demonstrated remarkable emerging capabilities. Concurrently,
with powerful semantic understanding and reasoning capabilities, LLMs have
significantly empowered the rapid advancement of the recommendation system
field. Specifically, ... | arXiv |
In this article, we explore the lifetime of localized excitations in
nonlinear lattices, called breathers, when a thermalized lattice is perturbed
with localized energy delivered to a single site. We develop a method to
measure the time it takes for the system to approach equilibrium based on a
single scalar quantity, ... | arXiv |
Exploring the optimal management strategy for nitrogen and irrigation has a
significant impact on crop yield, economic profit, and the environment. To
tackle this optimization challenge, this paper introduces a deployable
\textbf{CR}op Management system \textbf{O}ver all \textbf{P}ossible
\textbf{S}tate availabilities ... | arXiv |
Trapped ions provide a highly controlled platform for quantum sensors,
clocks, simulators, and computers, all of which depend on cooling ions close to
their motional ground state. Existing methods like Doppler, resolved sideband,
and dark resonance cooling balance trade-offs between the final temperature and
cooling ra... | arXiv |
Grey-body factors and quasinormal modes are two distinct characteristics of
radiation near black holes, each associated with different boundary conditions.
Nevertheless, a correspondence exists between them, which we use to calculate
the grey-body factors of three recently constructed quantum-corrected black
hole model... | arXiv |
Brown dwarfs with measured dynamical masses and spectra from direct imaging
are benchmarks that anchor substellar atmosphere cooling and evolution models.
We present Subaru SCExAO/CHARIS infrared spectroscopy of HIP 93398 B, a brown
dwarf companion recently discovered by Li et al. 2023 as part of an informed
survey usi... | arXiv |
Picture countably many logicians all wearing a hat in one of $\kappa$-many
colours. They each get to look at finitely many other hats and afterwards make
finitely many guesses for their own hat's colour. For which $\kappa$ can the
logicians guarantee that at least one of them guesses correctly? This will be
the archety... | arXiv |
We study eigenfunction localization for higher dimensional cat maps, a
popular model of quantum chaos. These maps are given by linear symplectic maps
in ${\mathrm Sp}(2g,\mathbb Z)$, which we take to be ergodic. Under some
natural assumptions, we show that there is a density one sequence of integers
$N$ so that as $N$ ... | arXiv |
All-dielectric metasurfaces can produce structural colors, but the most
advantageous design criteria are still being investigated. This work
numerically studies how the two-dimensional shape of nanoparticles affects the
colorimetric response under circularly polarized light (CPL) to develop a
sensor distinguishing CPL ... | arXiv |
We present high pressure electrical transport, magnetization, and single
crystal X-ray diffraction data on SrCo2P2 single crystals. X-ray diffraction
data show that there is a transition to a collapsed tetragonal structure for p
~> 10 GPa and measurements of resistance show that above ~ 10 GPa, a clear
transition-like ... | arXiv |
Consider $E$ a vector bundle over a smooth curve $C$. We compute the
$\delta$-invariant of all ample ($\mathbb{Q}$-) line bundles on $\mathbb{P}(E)$
when $E$ is strictly Mumford semistable. We also investigate the case when one
assumes that the Harder-Narasimhan filtration of $E$ has only one step. | arXiv |
This paper considers real-time control and learning problems for
finite-dimensional linear systems under binary-valued and randomly disturbed
output observations. This has long been regarded as an open problem because the
exact values of the traditional regression vectors used in the construction of
adaptive algorithms... | arXiv |
Let M be a transitive model of set theory and X be a space in the sense of M.
Is there a reasonable way to interpret X as a space in V? A general theory due
to Zapletal provides a natural candidate which behaves well on sufficiently
complete spaces (for instance \v{C}ech complete spaces) but behaves poorly on
more gene... | arXiv |
Seismic data inevitably suffers from random noise and missing traces in field
acquisition. This limits the utilization of seismic data for subsequent imaging
or inversion applications. Recently, dictionary learning has gained remarkable
success in seismic data denoising and interpolation. Variants of the
patch-based le... | arXiv |
Multifractality is a concept that helps compactly grasping the most essential
features of the financial dynamics. In its fully developed form, this concept
applies to essentially all mature financial markets and even to more liquid
cryptocurrencies traded on the centralized exchanges. A new element that adds
complexity... | arXiv |
Active learning aims to train accurate classifiers while minimizing labeling
costs by strategically selecting informative samples for annotation. This study
focuses on image classification tasks, comparing AL methods on CIFAR10,
CIFAR100, Food101, and the Chest X-ray datasets under varying label noise
rates. We investi... | arXiv |
Silicon photonics is a leading platform for realizing the vast numbers of
physical qubits needed for useful quantum information processing because it
leverages mature complementary metal-oxide-semiconductor (CMOS) manufacturing
to integrate on-chip thousands of optical devices for generating and
manipulating quantum st... | arXiv |
Direct imaging observations are biased towards wide-separation, massive
companions that have degenerate formation histories. Although the majority of
exoplanets are expected to form via core accretion, most directly imaged
exoplanets have not been convincingly demonstrated to follow this formation
pathway. We obtained ... | arXiv |
In this work we illustrate a general framework to describe the LHC
phenomenology of extended scalar (and fermion) sectors, with focus on dark
matter (DM) physics, based on an effective field theory (EFT) with non-linearly
realized electroweak symmetry. Generalizing Higgs EFT (HEFT), the setup allows
to include a generi... | arXiv |
We introduce "Method Actors" as a mental model for guiding LLM prompt
engineering and prompt architecture. Under this mental model, LLMs should be
thought of as actors; prompts as scripts and cues; and LLM responses as
performances. We apply this mental model to the task of improving LLM
performance at playing Connecti... | arXiv |
Time-dependent Thermoremanent Magnetization (TRM) studies have been
instrumental in probing energy dynamics within the spin glass phase. In this
paper, we will review the evolution of the TRM experiment over the last half
century and discuss some aspects related to how it has been employed in the
understanding of spin ... | arXiv |
This article presents a data-driven equation-free modeling of the dynamics of
a hexafloat floating offshore wind turbine based on the Dynamic Mode
Decomposition (DMD). The DMD is here used to provide a modal analysis and
extract knowledge from the dynamic system. A forecasting algorithm for the
motions, accelerations, ... | arXiv |
Weakly collisional plasmas contain a wealth of information about the dynamics
of the plasma in the particle velocity distribution functions, yet our ability
to exploit fully that information remains relatively primitive. Here we aim to
present the fundamentals of a new technique denoted Plasma Seismology that aims
to i... | arXiv |
We study higher uniformity properties of the von Mangoldt function $\Lambda$,
the M\"obius function $\mu$, and the divisor functions $d_k$ on short intervals
$(x,x+H]$ for almost all $x \in [X, 2X]$.
Let $\Lambda^\sharp$ and $d_k^\sharp$ be suitable approximants of $\Lambda$
and $d_k$, $G/\Gamma$ a filtered nilmanifo... | arXiv |
Separating disinformation from fact on the web has long challenged both the
search and the reasoning powers of humans. We show that the reasoning power of
large language models (LLMs) and the retrieval power of modern search engines
can be combined to automate this process and explainably verify claims. We
integrate LL... | arXiv |
We study the performances of a world-wide network made by a European
third-generation gravitational-wave (GW) detector, together with a 40-km Cosmic
Explorer detector in the US, considering three scenarios for the European
detector: (1) Einstein Telescope (ET) in its 10-km triangle configuration; (2)
ET in its configur... | arXiv |
Given a database of bit strings $A_1,\ldots,A_m\in \{0,1\}^n$, a fundamental
data structure task is to estimate the distances between a given query $B\in
\{0,1\}^n$ with all the strings in the database. In addition, one might further
want to ensure the integrity of the database by releasing these distance
statistics in... | arXiv |
Language model performance depends on identifying the optimal mixture of data
groups to train on (e.g., law, code, math). Prior work has proposed a diverse
set of methods to efficiently learn mixture proportions, ranging from fitting
regression models over training runs to dynamically updating proportions
throughout tr... | arXiv |
When the period of an incommensurate charge density wave (ICDW) approaches an
integer multiple of a lattice vector, the energy gain obtained from locking the
period to the lattice can lead to a fascinating transition into a commensurate
state. This transition actually occurs through an intermediate
near-commensurate (N... | arXiv |
One of the fundamental open problems in the field of tensors is the border
Comon's conjecture: given a symmetric tensor $F\in(\mathbb{C}^n)^{\otimes d}$
for $d\geq 3$, its border and symmetric border ranks are equal. In this paper,
we prove the conjecture for large classes of concise tensors in
$(\mathbb{C}^n)^{\otimes... | arXiv |
We introduce and study a generalized form of derivations for dendriform
algebras, specifying all admissible parameter values that define these
derivations. Additionally, we present a complete classification of generalized
derivations for two-dimensional left-symmetric dialgebras over the field
$\mathbb{K}$. | arXiv |
Humans are able to fuse information from both auditory and visual modalities
to help with understanding speech. This is frequently demonstrated through an
phenomenon known as the McGurk Effect, during which a listener is presented
with incongruent auditory and visual speech that fuse together into the percept
of an ill... | arXiv |
We advance the study of pure de Sitter supergravity by introducing a finite
formulation of unimodular supergravity via the super-St\"uckelberg mechanism.
Building on previous works, we construct a complete four-dimensional action of
spontaneously broken ${\cal N}\!\!=\!\!1$ supergravity to all orders, which
allows for ... | arXiv |
Let $p$ be a prime number. We consider diagonal $p$-permutation functors over
a (commutative, unital) ring $\mathsf{R}$ in which all prime numbers different
from $p$ are invertible. We first determine the finite groups $G$ for which the
associated essential algebra $\mathcal{E}_\mathsf{R}(G)$ is non zero: These are
gro... | arXiv |
Complex systems, such as economic, social, biological, and ecological
systems, usually feature interactions not only between pairwise entities but
also among three or more entities. These multi-entity interactions are known as
higher-order interactions. Hypergraph, as a mathematical tool, can effectively
characterize h... | arXiv |
The integration of unmanned platforms equipped with advanced sensors promises
to enhance situational awareness and mitigate the "fog of war" in military
operations. However, managing the vast influx of data from these platforms
poses a significant challenge for Command and Control (C2) systems. This study
presents a no... | arXiv |
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