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November 2024 arXiv papers — page 125

Showing 12,40112,500 of 19,800 papers

  1. Zhen Pang, Shengda Tang, Jun Cheng, Shuping He

    In optimal control problem, policy iteration (PI) is a powerful reinforcement learning (RL) tool used for designing optimal controller for the linear systems. However, the need for an initial stabilizing control policy significantly limits its applicability. To address this constraint, this paper proposes a novel scaling technique, which progressively brings

  2. Mário J. de Oliveira

    We propose a stochastic dynamics to be associated to a deterministic motion defined by a set of first order differential equation. The transitions that defined the stochastic dynamics are unidirectional and the rates are equal to the absolute value of the velocity vector field associate to the deterministic motion. From the stochastic dynamics we determine t

  3. R. Mathew Roy, X. Feng, M. Wenzel, V. Hasse

    The natural van der Waals heterostructure 4H$_b$-TaS$_2$ composed of alternating 1T- and 1H-TaS$_2$ layers serves as a platform for investigating the electronic correlations and layer-dependent properties of novel quantum materials. The temperature evolution of the conductivity spectra $\sigma(\omega)$ obtained through infrared spectroscopy elucidates the in

  4. Hamidreza Esmaielpour, Paul Schmiedeke, Nabi Isaev, Cem Doganlar

    One-dimensional structures such as nanowires (NWs) show great promise in tailoring the rates of hot carrier thermalization in semiconductors with important implications for the design of efficient hot carrier absorbers. However, fabrication of high-quality, phase-pure crystal structures and control of their intrinsic electronic properties can be challenging,

  5. Michel Benaïm, Claude Lobry, Tewfik Sari, Edouard Strickler

    We consider a population spreading across a finite number of sites. Individuals can move from one site to the other according to a network (oriented links between the sites) that vary periodically over time. On each site, the population experiences a growth rate which is also periodically time varying. Recently, this kind of models have been extensively stud

  6. Youan Cong, Pritom Saha Akash, Cheng Wang, Kevin Chen-Chuan Chang

    We introduce the \textit{Extract-Refine-Retrieve-Read} (ERRR) framework, a novel approach designed to bridge the pre-retrieval information gap in Retrieval-Augmented Generation (RAG) systems through query optimization tailored to meet the specific knowledge requirements of Large Language Models (LLMs). Unlike conventional query optimization techniques used i

  7. Mahmoud Almassri, Mohammed F. Saleh

    This paper presents, to our knowledge, a new approach in developing integrated pure heralded single-photon sources based on the interplay between the spontaneous four-wave mixing and sum-frequency generation parametric processes. We introduce a comprehensive quantum model to exploit this interplay in AlGaAs and LiNbO$_3$ nanophotonic waveguides. The develope

  8. Kang-Kang Yang, Zhi-Xi Wang, Shao-Ming Fei

    The concept of wave-particle duality holds significant importance in the field of quantum mechanics, as it elucidates the dual nature encompassing both wave-like and particle-like properties exhibited by microscopic particles. In this paper, we construct generalized measures for the predictability and visibility of $n$-path interference fringes to quantify t

  9. Davit Gondauri, Ekaterine Mikautadze

    The research and development (R&D) phase is essential for fostering innovation and aligns with long-term strategies in both public and private sectors. This study addresses two primary research questions: (1) assessing the relationship between R&D investments and GDP through regression analysis, and (2) estimating the economic value added (EVA) that Georgia

  10. Haizhou Zhang, Xianjia Yu, Tomi Westerlund

    Federated learning (FL) has become one of the key methods for privacy-preserving collaborative learning, as it enables the transfer of models without requiring local data exchange. Within the FL framework, an aggregation algorithm is recognized as one of the most crucial components for ensuring the efficacy and security of the system. Existing average aggreg

  11. Yuki Mizuno

    We show that Bondal-Orlov's reconstruction theorem holds in noncommutative projective geometry. We also prove that fully faithful exact functors between derived categories of noncommutative projective schemes are of Fourier-Mukai type.

  12. Akihiro Higashitani

    We introduce a new class of algebras arising from graphs, called binomial edge rings. Given a graph $G$ on $d$ vertices with $n$ edges, the binomial edge ring of $G$ is defined to be the subalgebra of the polynomial ring with $2d$ variables generated by the binomials which correspond to $n$ edges. In this paper, we calculate a SAGBI basis for this algebra an

  13. Wuyang Zhao

    We perform molecular dynamics simulations under uniaxial tension to investigate the micromechanisms underlying strain hardening in glassy polymers. By decomposing the stress into virial components associated with pair, bond, and angle interactions, we identify the primary contributors to strain hardening as the stretching of polymer bonds. Interestingly, rat

  14. Injune Hwang, Karthik Saravanan, Caterina V Coralli, S Jack Tu

    Patients undergoing total knee arthroplasty (TKA) often experience non-specific anterior knee pain, arising from abnormal patellofemoral joint (PFJ) instability. Tracking PFJ motion is challenging since static imaging modalities like CT and MRI are limited by field of view and metal artefact interference. Ultrasounds offer an alternative modality for dynamic

  15. Evgeniy O. Kiktenko, Andrey Tayduganov, Aleksey K. Fedorov

    We develop a novel key routing algorithm for quantum key distribution (QKD) networks that utilizes a distribution of keys between remote, i.e., not directly connected by a QKD link, nodes through multiple non-overlapping paths. This approach enchases the security of QKD network by minimizing potential vulnerabilities associated with individual trusted nodes.

  16. Sarah Cannon, Tyler Helmuth, Will Perkins

    Pirogov--Sinai theory is a well-developed method for understanding the low-temperature phase diagram of statistical mechanics models on lattices. Motivated by physical and algorithmic questions beyond the setting of lattices, we develop a combinatorially flexible version of Pirogov--Sinai theory for the hard-core model of independent sets. Our results illust

  17. Magdalena Schindl, Felix Reichel

    This paper investigates whether spatial proximity shapes psychological-pricing choices on Austria's C2C marketplace willhaben. Two web-scraped snapshots of 826 Woom Bike listings - a standardised product sold on the platform reveal that sellers near direct competitors are more likely to adopt 9-, 90-, or 99-ending prices, who also use such pricing strategy u

  18. Peter Lunkenheimer, Alois Loidl

    Poly(ethylene oxide) is an important polymer with many applications, e.g., as solid-state electrolyte in batteries. Its relaxation dynamics, characterizing its molecular and submolecular motions, which is relevant for many of these applications, was investigated numerous times, mostly employing dielectric spectroscopy. However, the various dynamic processes

  19. Tianqu Kang, Zixin Wang, Hengtao He, Jun Zhang

    Fine-tuning large pre-trained foundation models (FMs) on distributed edge devices presents considerable computational and privacy challenges. Federated fine-tuning (FedFT) mitigates some privacy issues by facilitating collaborative model training without the need to share raw data. To lessen the computational burden on resource-limited devices, combining low

  20. Yajun Ma, Junling Zheng, Yu-Zhe Liu

    In this paper, we investigate the behavior of Igusa-Todorov distances, extension and Rouquier dimensions under cleft extensions of abelian categories. We apply our results to Morita context rings, trivial extension rings, tensor rings and arrow removals.

  21. Kang-Kang Yang, Zhong-Xi Shen, Zhi-Xi Wang, Shao-Ming Fei

    Quantum coherence serves as a crucial physical resource, with its quantification emerging as a focal point in contemporary research. Superadditivity constitutes one of the most fundamental attributes in characterizing the coherence distribution in multipartite quantum systems. In this paper, we provide a way to derive tighter superadditivity inequalities of

  22. Wuzheng Dong

    This paper presents a method for object recognition and automatic labeling in large-area remote sensing images called LRSAA. The method integrates YOLOv11 and MobileNetV3-SSD object detection algorithms through ensemble learning to enhance model performance. Furthermore, it employs Poisson disk sampling segmentation techniques and the EIOU metric to optimize

  23. Yi Ding, Daomu Zhao

    By using Laplace's method for double integrals and the so-called beam condition obeyed by a partially coherent beamlike light field, we report the equivalence theory (ET) of partially coherent beams on scattering for the first time. We present the necessary and sufficient condition for the two scattered fields that have the same normalized radiant intensity

  24. Zina-Sabrina Duma, Tuomas Sihvonen, Jouni Susiluoto, Otto Lamminpää

    Kernel-based statistical methods are efficient, but their performance depends heavily on the selection of kernel parameters. In literature, the optimization studies on kernel-based chemometric methods is limited and often reduced to grid searching. Previously, the authors introduced Kernel Flows (KF) to learn kernel parameters for Kernel Partial Least-Square

  25. Daniel Fusaro, Federico Magistri, Jens Behley, Alberto Pretto

    Accurate and consistent fruit monitoring over time is a key step toward automated agricultural production systems. However, this task is inherently difficult due to variations in fruit size, shape, occlusion, orientation, and the dynamic nature of orchards where fruits may appear or disappear between observations. In this article, we propose a novel method f

  26. Ivan Gilardoni, Valerio Piomponi, Thorben Fröhlking, Giovanni Bussi

    Molecular dynamics (MD) simulations play a crucial role in resolving the underlying conformational dynamics of molecular systems. However, their capability to correctly reproduce and predict dynamics in agreement with experiments is limited by the accuracy of the force-field model. This capability can be improved by refining the structural ensembles or the f

  27. J. -V. Harre, A. M. S. Smith, S. C. C. Barros, V. Singh

    Hot Jupiters with close-by planetary companions are rare, with only a handful of them having been discovered so far. This could be due to their suggested dynamical histories, leading to the possible ejection of other planets. TOI-2109 b is special in this regard because it is the hot Jupiter with the closest relative separation from its host star, being sepa

  28. M. Jaleed Khan, Manu Vatish, Gabriel Davis Jones

    Antepartum Cardiotocography (CTG) is vital for fetal health monitoring, but traditional methods like the Dawes-Redman system are often limited by high inter-observer variability, leading to inconsistent interpretations and potential misdiagnoses. This paper introduces PatchCTG, a transformer-based model specifically designed for CTG analysis, employing patch

  29. Amit Das, Sobhan Sounda

    We discuss the nonclassical properties of photon-subtracted compass states (PSCS). Nonclassical behavior is studied using various parameters like the Wigner function, squeezing, and photon statistical parameters like Mandels Q-function, second-order correlation function, Agarwal Tara $A_3$ criterion, and photon number distribution. Further analysis is being

  30. Xin-Xiang Ju, Wen-Bin Pan, Ya-Wen Sun, Yang Zhao

    To analyze the holographic multipartite entanglement structure, we study the upper bound for holographic $n$-partite information $(-1)^n I_n$ that $n-1$ fixed boundary subregions participate together with an arbitrary region $E$. In general cases, we could find regions $E$ that make $I_n$ approach the upper bound. For $n=3$, we show that the upper bound of $

  31. Luca Fanelli, Fabio Pizzichillo

    In this paper, we prove a sharp, weighted Hardy-type inequality for the Dirac operator. A key feature of our result is that the inequality is not only sharp but also attained, and we construct explicit minimizers that satisfy the equality case. This extends previous work on the spectral properties of Dirac operators, especially in the context of relativistic

  32. Rose-Marie Baland, Valerio Filice, Sébastien Le Maistre, Antony Trinh

    Following the discovery of several ocean worlds in the solar system, and the selection of Uranus as the highest priority objective by the Planetary Science and Astrobiology Decadal Survey 2023-2032, the five largest moons of Uranus (Miranda, Ariel, Umbriel, Titania and Oberon) have been receiving renewed attention as they may also harbor a subsurface ocean.

  33. Maien Binjonaid, Ahmed Elsheshtawy, Shaaban Khalil

    We propose an extension of the Inert Doublet Model (IDM) that explains both neutrino masses and dark matter (DM) in the intermediate-mass range by incorporating a $U(1)_{B-L}$ gauge symmetry. This additional symmetry enables the inclusion of right-handed neutrinos, providing a natural mechanism for neutrino mass generation. While the CP-even component of the

  34. Yangyang Cheng, Zhilan Wang, Jin Yan

    Given a (di)graph $H$, we say that a (di)graph $H^\prime$ is an $H$-subdivision if $H^\prime$ is obtained from $H$ by replacing one or more edges with internally vertex-disjoint path(s). Pavez-Sign\'{e} conjectured that for every $\varepsilon>0$, there exists a constant $C_0>0$ such that for every graph $H$ with $h$ edges and no isolated vertices, if $G$ is

  35. Rod Gow, Gary McGuire

    Let $F$ be any field containing the finite field of order $q$. A $q$-polynomial $L$ over $F$ is an element of the polynomial ring $F[x]$ with the property that all powers of $x$ that appear in $L$ with nonzero coefficient have exponent a power of $q$. It is well known that given any ordinary polynomial $f$ in $F[x]$, there exists a $q$-polynomial that is div

  36. Jack Brady, Julius von Kügelgen, Sébastien Lachapelle, Simon Buchholz

    Learning disentangled representations of concepts and re-composing them in unseen ways is crucial for generalizing to out-of-domain situations. However, the underlying properties of concepts that enable such disentanglement and compositional generalization remain poorly understood. In this work, we propose the principle of interaction asymmetry which states:

  37. Michael A. Rampp, Suhail A. Rather, Pieter W. Claeys

    We present a general framework for constructing solvable lattice models of chaotic many-body quantum dynamics with multiple unitary directions using biunitary connections. We show that a network of biunitary connections on the Kagome lattice naturally defines a multi-unitary circuit, where three `arrows of time' directly reflect the lattice symmetry. These m

  38. Esteban Gabory, Moses Njagi Mwaniki, Nadia Pisanti, Solon P. Pissis

    An elastic-degenerate (ED) string $T$ is a sequence of $n$ sets $T[1],\ldots,T[n]$ containing $m$ strings in total whose cumulative length is $N$. We call $n$, $m$, and $N$ the length, the cardinality and the size of $T$, respectively. The language of $T$ is defined as $L(T)=\{S_1 \cdots S_n\,:\,S_i \in T[i]$ for all $i\in[1,n]\}$. ED strings have been intro

  39. Chengquan Guo, Xun Liu, Chulin Xie, Andy Zhou

    With the rapidly increasing capabilities and adoption of code agents for AI-assisted coding, safety concerns, such as generating or executing risky code, have become significant barriers to the real-world deployment of these agents. To provide comprehensive and practical evaluations on the safety of code agents, we propose RedCode, a benchmark for risky code

  40. Sebastian Blauth, Christian Leithäuser

    For the numerical solution of shape optimization problems, particularly those constrained by partial differential equations (PDEs), the quality of the underlying mesh is of utmost importance. Particularly when investigating complex geometries, the mesh quality tends to deteriorate over the course of a shape optimization so that either the optimization comes

  41. Nuha Chreim, Christian Hoelbling

    We present analytical and numerical results on symmetry properties of staggered fermions with taste splitting mass terms. As staggered species split differently for different types of taste splitting masses, various lattice symmetry subgroups and symmetry properties emerge. From the breaking of rotational symmetry, gluonic counterterms emerge. Preliminary nu

  42. Bartosz Sobolewski, Lukas Spiegelhofer

    Let $s(n)$ denote the number of ones in the binary expansion of the nonnegative integer $n$. How does $s$ behave under addition of a constant $t$? In order to study the differences \[s(n+t)-s(n),\] for all $n\ge0$, we consider the associated characteristic function $\gamma_t$. Our main theorem is a structural result on the decomposition of $\gamma_t$ into a

  43. Dhruv Srinivasan, Alex Beyer, Daiwei Zhu, Pranav Srikanth

    The Fermi-Hubbard model (FHM) is a simple yet rich model of strongly interacting electrons with complex dynamics and a variety of emerging quantum phases. These properties make it a compelling target for digital quantum simulation. Trotterization-based quantum simulations have shown promise, but implementations on current hardware are limited by noise, neces

  44. Emanuele Frittaion

    In this note, we investigate iterations of consistency, local and uniform reflection over $\mathbf{HA}$ (Heyting Arithmetic). In the case of uniform reflection, we give a new proof of Dragalin's extension of Feferman's completeness theorem to $\mathbf{HA}$, drawing on Rathjen's proof of Feferman's classical result.

  45. Takehiko Mori

    The Collatz map (or the $3n{+}1$-map) $f$ is defined on positive integers by setting $f(n)$ equal to $3n+1$ when $n$ is odd and $n/2$ when $n$ is even. The Collatz conjecture states that starting from any positive integer $n$, some iterate of $f$ takes value $1$. In this study, we discuss formulations of the Collatz conjecture by $C^{*}$-algebras in the foll

  46. Martin Chak

    Guarantees for algorithms sampling from nonlogconcave target measures on $\mathbb{R}^d$ are studied. For the class of measures with logdensities that have bounded Hessians and are strongly concave outside a Euclidean ball of radius $R$, it is shown that complete polynomial complexity can in fact be achieved if $R\leq c\sqrt{d}$. On the other hand, an exponen

  47. Li-Wen Wang, Sheng Liu, Cheng-Jie Zhang, Geng Chen

    The topologically protected configuration embedded in skyrmions has prompted some investigations into their fundamental properties and versatile applications, sparking interest and guiding ongoing development. The topological protection associated with skyrmions was initially observed in systems with interactions. It is widely believed that skyrmions are sta

  48. Xin Qian, Guanda Quan, Te-Huan Liu, Ronggui Yang

    API Phonons is a Python software package to predict the transport dynamics of heat-carrying phonons. Using the powerful syntax of Python, this package provides modules and functions interfacing between different packages for atomistic simulations, lattice dynamics, and phonon-phonon interaction calculations including LAMMPS, Quippy, Phonopy, and ShengBTE. AP

  49. Tianyu Liu, Jirui Qi, Paul He, Arianna Bisazza

    Recent work suggests that large language models enhanced with retrieval-augmented generation are easily influenced by the order, in which the retrieved documents are presented to the model when solving tasks such as question answering (QA). However, there is no method to date that exploits this phenomenon to improve generation. We fill this gap. In this stud

  50. Vincent Herrmann, Dylan R. Ashley, Jürgen Schmidhuber

    Album sequencing is a critical part of the album production process. Recently, a data-driven approach was proposed that sequences general collections of independent media by extracting the narrative essence of the items in the collections. While this approach implies an album sequencing technique, it is not widely accessible to a less technical audience, req

  51. Mohsen Ghasemi Nezhadhaghighi, Abolfazl Ramezanpour

    Energy considerations can significantly affect the behavior of a population of energy-consuming agents with limited energy budgets, for instance, in the movement process of people in a city. We consider a population of interacting agents with an initial energy budget walking on a graph according to an exploration and return (to home) strategy that is based o

  52. Giulia Di Teodoro, Federico Siciliano, Nicola Tonellotto, Fabrizio Silvestri

    Loss functions like Categorical Cross Entropy (CCE), Binary Cross Entropy (BCE), and Bayesian Personalized Ranking (BPR) are commonly used in training Recommender Systems (RSs) to differentiate positive items - those interacted with by users - and negative items. While prior works empirically showed that CCE outperforms BCE and BPR when using the full set of

  53. Saranya Babu, Aiswarya M, Subhendu Dhibar, Goutam Chandra

    Supramolecular gels are formed by the self-assembly of low molecular weight organic gelators with their solvent molecules. These are emerging novel materials with good semiconducting and light emitting properties with application potential as hole and electron transport layers in organic solar cells, LEDs, stimulus-responsive smart semiconducting materials,

  54. Diogo Da Silva Machado

    Given a compact complex manifold $X$, we prove a Baum-Bott type formula for one-dimensional holomorphic foliations on $X$ that are logarithmic along a hypersurface with isolated singularities. We show that the residues of these foliations can be expressed in terms of the Schwartz index of the vector fields that locally define them. Furthermore, in this conte

  55. Alessandro Carotenuto, Réamonn Ó Buachalla, Junaid Razzaq

    In recent work, Lusztig's positive root vectors (with respect to a distinguished choice of reduced decomposition of the longest element of the Weyl group) were shown to give a quantum tangent space for every $A$-series Drinfeld--Jimbo full quantum flag manifold $\mathcal{O}_q(\mathrm{F}_n)$. Moreover, the associated differential calculus $\Omega^{(0,\bullet)

  56. Filipa R. Prudêncio, Mário G. Silveirinha

    Recent studies have shown that non-equilibrium optical systems under static electric fields offer a pathway to realize chiral gain, where the non-Hermitian response of a material is controlled by the spin angular momentum of the wave. In this work, we uncover the topological nature of chiral gain and demonstrate how a static electric bias induces topological

  57. Jim Buffat, Miguel Pato, Kevin Alonso, Stefan Auer

    We provide the first method allowing to retrieve spaceborne SIF maps at 30 m ground resolution with a strong correlation ($r^2=0.6$) to high-quality airborne estimates of sun-induced fluorescence (SIF). SIF estimates can provide explanatory information for many tasks related to agricultural management and physiological studies. While SIF products from airbor

  58. Roman Cherniha, Vasyl' Davydovych

    A new age-structured diffusive model for the mathematical modelling of epidemics is suggested. The model can be considered as a generalization of two models suggested earlier for the same purposes. The Lie symmetry classification of the model is derived. It is shown that the model admits an infinite-dimensional Lie algebra of invariance. Using the Lie symmet

  59. Noam Elata, Bahjat Kawar, Yaron Ostrovsky-Berman, Miriam Farber

    Synthesizing a novel view from a single input image is a challenging task. Traditionally, this task was approached by estimating scene depth, warping, and inpainting, with machine learning models enabling parts of the pipeline. More recently, generative models are being increasingly employed in novel view synthesis (NVS), often encompassing the entire end-to

  60. Florian Castioni, Yves Auad, Jean-Denis Blazit, Xiaoyan Li

    Thermal transport in nanostructures plays a critical role in modern technologies. As devices shrink, techniques that can measure thermal properties at nanometer and nanosecond scales are increasingly needed to capture transient, out-of-equilibrium phenomena. We present a novel pump-probe photon-electron method within a scanning transmission electron microsco

  61. Fangyu Lei, Jixuan Chen, Yuxiao Ye, Ruisheng Cao

    Real-world enterprise text-to-SQL workflows often involve complex cloud or local data across various database systems, multiple SQL queries in various dialects, and diverse operations from data transformation to analytics. We introduce Spider 2.0, an evaluation framework comprising 632 real-world text-to-SQL workflow problems derived from enterprise-level da

  62. Weibo Zhao, Yubin Shi, Xinyu Lyu, Wanchen Sui

    Quantization stands as a pivotal technique for large language model (LLM) serving, yet it poses significant challenges particularly in achieving effective low-bit quantization. The limited numerical mapping makes the quantized model produce a non-trivial error, bringing out intolerable performance degration. This paper is anchored in the basic idea of model

  63. Jiakai Qu

    The purpose of this paper is to make an introduction to univalent function theory for readers of any level, assuming only foundational knowledge in real and complex analysis. In particular, we state and proof (with details) important theorems utilised in proving Bieberbach's conjecture, especially those that were missed or merely sketched by other texts on u

  64. Alexi Canesse, Mathieu Petitbois, Ludovic Denoyer, Sylvain Lamprier

    Offline Reinforcement Learning (RL) has emerged as a powerful alternative to imitation learning for behavior modeling in various domains, particularly in complex navigation tasks. An existing challenge with Offline RL is the signal-to-noise ratio, i.e. how to mitigate incorrect policy updates due to errors in value estimates. Towards this, multiple works hav

  65. Jie Zhou, Qiming Zhang, Jiarui Gong, Yi Lu

    Semiconductor heterojunctions are foundational to many advanced electronic and optoelectronic devices. However, achieving high-quality, lattice-mismatched interfaces remains challenging, limiting both scalability and device performance. Semiconductor grafting offers a promising solution by directly forming electrically active, lattice-mismatched heterojuncti

  66. Lawrence Francis, Blessed Guda, Ahmed Biyabani

    In reinforcement learning-based (RL-based) traffic signal control (TSC), decisions on the signal timing are made based on the available information on vehicles at a road intersection. This forms the state representation for the RL environment which can either be high-dimensional containing several variables or a low-dimensional vector. Current studies sugges

  67. Ran Lingyan, Wen Dongcheng, Zhuo Tao, Zhang Shizhou

    Change Detection (CD) is an essential field in remote sensing, with a primary focus on identifying areas of change in bi-temporal image pairs captured at varying intervals of the same region by a satellite. The data annotation process for the CD task is both time-consuming and labor-intensive. To make better use of the scarce labeled data and abundant unlabe

  68. Martin R. Bridson

    For every natural number $n$, there exist finitely presented groups with residual finiteness depths $\omega\cdot n$ and $\omega\cdot n + 1$. The ordinals that arise as the residual finiteness depth of a finitely generated group (equivalently, a countable group) are $0,\, 1$, the countable limit ordinals, and the successors of these limit ordinals.

  69. Andrea Braides, Gianni Dal Maso, Claude Le Bris

    We investigate the stability with respect to homogenization of classes of integrals arising in the control-theoretic interpretation of some Hamilton-Jacobi equations. The prototypical case is the homogenization of energies with a Lagrangian consisting of the sum of a kinetic term and a highly oscillatory potential $V =V_{\rm per}+ W$, where $V_{\rm per}$ is

  70. Qiang Kang

    This paper studies the theoretical construction and analytic error estimation of complex Bessel function-based conformal mappings in regions with randomly perturbed boundaries. First, we construct a conformal mapping applicable to such boundary conditions and prove the existence and uniqueness of the mapping. On this basis, an analytical error estimation met

  71. Anton Okhotnikov, Nikita Torgashov, Ivan Yakovlev, Pavel Malov

    Optimization of a trade-off between the number of speakers and their temporal variability (or session diversity) is crucial for the development of a speaker recognition system together with making the data collection process feasible from a time perspective. In this article, we provide the analysis of dependency between inter and intra speaker variability in

  72. Mihir Agarwal, Progyan Das, Udit Bhatia

    We introduce a novel Graph Attention Autoencoder (GAE) with spatial regularization to address the challenge of scalable anomaly detection in spatiotemporal rainfall data across India from 1990 to 2015. Our model leverages a Graph Attention Network (GAT) to capture spatial dependencies and temporal dynamics in the data, further enhanced by a spatial regulariz

  73. Liang Zhao, Shenglin Geng, Xiongyan Tang, Ammar Hawbani

    Low Earth Orbit (LEO) satellite constellations have seen significant growth and functional enhancement in recent years, which integrates various capabilities like communication, navigation, and remote sensing. However, the heterogeneity of data collected by different satellites and the problems of efficient inter-satellite collaborative computation pose sign

  74. Xinyuan Qian, Jiaran Gao, Yaodan Zhang, Qiquan Zhang

    Speech enhancement plays an essential role in various applications, and the integration of visual information has been demonstrated to bring substantial advantages. However, the majority of current research concentrates on the examination of facial and lip movements, which can be compromised or entirely inaccessible in scenarios where occlusions occur or whe

  75. Aditya Kasliwal, Ishaan Gakhar, Aryan Kamani, Pratinav Seth

    In the last few years, the fusion of multi-modal data has been widely studied for various applications such as robotics, gesture recognition, and autonomous navigation. Indeed, high-quality visual sensors are expensive, and consumer-grade sensors produce low-resolution images. Researchers have developed methods to combine RGB color images with non-visual dat

  76. Tim Dullweber, Roman Belousov, Anna Erzberger

    The macroscopic behaviour of active matter arises from nonequilibrium microscopic processes. In soft materials, active stresses typically drive macroscopic shape changes, which in turn alter the geometry constraining the microscopic dynamics, leading to complex feedback effects. Although such mechanochemical coupling is common in living matter and associated

  77. Hardeep Kaur, Riccardo Rastelli

    This work is motivated by an original dataset of reported mumps cases across nine regions of England, and focuses on the modeling of temporal dynamics and time-varying dependency patterns between the observed time series. The goal is to discover the possible presence of latent routes of contagion that go beyond the geographical locations of the regions, and

  78. Anina Gruica, Maria Montanucci, Ferdinando Zullo

    Effective and reliable data retrieval is critical for the feasibility of DNA storage, and the development of random access efficiency plays a key role in its practicality and reliability. In this paper, we study the Random Access Problem, which asks to compute the expected number of samples one needs in order to recover an information strand. Unlike previous

  79. Filippo Ambrosio

    Let $G$ be a connected reductive algebraic group with simply connected derived subgroup. Over the complex numbers there exists a local method to study the geometric properties of a point $g$ in the closure of a Jordan class of $G$ in terms of Jordan classes of a maximal rank reductive subgroup $M \leq G$ depending on the point $g$, and further to the closure

  80. Xi Cheng, Ruiqi Lei, Di Huang, Zhichao Liao

    Parametric point clouds are sampled from CAD shapes and are becoming increasingly common in industrial manufacturing. Most CAD-specific deep learning methods focus on geometric features, while overlooking constraints inherent in CAD shapes. This limits their ability to discern CAD shapes with similar appearances but different constraints. To tackle this chal

  81. Cong Xiao, Yue-Xin Huang, Shengyuan A. Yang

    Skew scattering is the well-known dominant mechanism for anomalous Hall transport in highly conductive systems. However, despite extensive research, the primary mechanism governing nonlinear (nonreciprocal) magneto-transport in clean samples remains unknown. This theoretical gap has impeded the development of design principles for efficient nonreciprocal dev

  82. Lucas Vogels, Reza Mohammadi, Marit Schoonhoven, S. Ilker Birbil

    The early detection of Alzheimer's disease (AD) requires an understanding of the relationships between a wide range of features. Conditional independencies and partial correlations are suitable measures for these relationships, because they can identify the effects of confounding and mediating variables. This article presents a Bayesian approach to Gaussian

  83. C. Duffy, Kinwah Wu, G. Ramsay, Matt A. Wood

    VY Scl binaries are a sub-class of cataclysmic variable (CV) which show extended low states, but do not show outbursts which are seen in other classes of CV. To better determine how often these systems spend in low states and to resolve the state transitions we have analysed ZTF data on eight systems and TESS data on six systems. Half of the sample spent mos

  84. Michael S. Vogelius, Jingni Xiao

    We study non-scattering phenomena associated with the time-harmonic Helmholtz equation in two dimensions. For very general classes of star-shaped domains, we show that there are at most finitely many wave numbers such that Herglotz incident waves with a fixed density function are non-scattering.

  85. Dong Yang, Wei Dong, Wei Lu, Yanqi Dong

    Complex Cyber-Physical System (CPS) such as Unmanned Aerial System (UAS) got rapid development these years, but also became vulnerable to GPS spoofing, packets injection, buffer-overflow and other malicious attacks. Ensuring the behaviors of UAS always keeping secure no matter how the environment changes, would be a prospective direction for UAS security. Th

  86. Liyuan Zhang, Le Hui, Qi Liu, Bo Li

    Multi-instance point cloud registration aims to estimate the pose of all instances of a model point cloud in the whole scene. Existing methods all adopt the strategy of first obtaining the global correspondence and then clustering to obtain the pose of each instance. However, due to the cluttered and occluded objects in the scene, it is difficult to obtain a

  87. João Alberto de Oliveira Lima

    This work addresses the challenge of capturing the complexities of legal knowledge by proposing a multi-layered embedding-based retrieval method for legal and legislative texts. Creating embeddings not only for individual articles but also for their components (paragraphs, clauses) and structural groupings (books, titles, chapters, etc), we seek to capture t

  88. Rosa Arenales-Lope, Karan Molaverdikhani, Dwaipayan Dubey, Barbara Ercolano

    In this paper, we explore the detectability of polycyclic aromatic hydrocarbons (PAHs) under diverse planetary conditions, aiming to identify promising targets for future observations of planetary atmospheres. Our primary goal is to determine the minimum detectable mass fractions of PAHs on each studied planet. We integrate the one-dimensional self consisten

  89. A. P. Zhiyanov, A. V. Shklyaev

    We consider a critical bisexual branching process in a random environment generated by independent and identically distributed random variables. Assuming that the process starts with a large number of pairs $N$, we prove that its extinction time is of the order $\ln^2 N$. Interestingly, this result is valid for a general class of mating functions. Among them

  90. Yuki Kudoh, Keiichi Wada, Nozomu Kawakatu, Mariko Nomura

    We investigated the influence of the Eddington ratio on sub-parsec-scale outflows in active galactic nuclei (AGNs) with supermassive black holes (SMBHs) masses of $10^7$ M$_{\odot}$ using two-dimensional radiation hydrodynamics simulations. When the range of Eddington ratio, $\gamma_{\rm Edd} > 10^{-3}$, the radiation force exceeds the gas pressure, leading

  91. Qianshuo Liu, Chang Feng, Filipe B. Abdalla

    We investigate the effects of ultralight axions (ULAs) on the differential brightness temperature fluctuations of neutral hydrogen at the post-reionization stage. Unique structure suppression features under the influence of ULAs are studied from angular correlations of the neutral hydrogen signals observed at different frequencies. Moreover, ULAs can behave

  92. Liang-Bi Wu, Rong-Gen Cai, Libo Xie

    In this study, we investigate the stability of the greybody factor of Hayward black holes by adding a small bump to the effective potential. Since the greybody factor depends on frequency, we introduce the $\mathcal{G}$-factor and $\mathcal{H}$-factor to quantitatively characterize its stability. We study the stability of the greybody factor within the equal

  93. Levon G. Mardoyan

    This review is devoted to the problem of Coulomb (dyon)-oscillator duality in non-relativistic quantum mechanics, which is based on the so-called non-bijective quadratic transformations, i.e. Levi-Civita transformation, Kustaanheimo--Stiefel (KS-transformation) and Hurwitz transformation.

  94. Benliang Li

    This paper explores the behavior of quantum particles in weak gravitational fields. We examine scalar and spinor particles, showing that these quantum particles in weak gravitational fields follow geodesic trajectories, aligning with classical expectations. Further, we explore the impact of gravitational fields on Yukawa interaction $\lambda \bar{\Psi} \Phi

  95. Lev Razumovskiy, Mariya Gerasimova, Nikolay Karenin, Mikhail Safro

    This article presents a mathematical model of dynamic pricing for real estate (RE) that incorporates multiple pricing groups, thereby expanding the capabilities of existing models. The developed model solves the problem of maximizing aggregate cumulative revenue at the end of the sales period while meeting the revenue and sales goals. A method is proposed fo

  96. M. D. Ruiz-Medina, R. M. Crujeiras

    A statistical hypothesis test for long range dependence (LRD) is formulated in the spectral domain for functional time series in manifolds. The elements of the spectral density operator family are assumed to be invariant with respect to the group of isometries of the manifold. The proposed test statistic is based on the weighted periodogram operator. A Centr

  97. BESIII Collaboration, M. Ablikim, M. N. Achasov, P. Adlarson

    Using 7.93 ${\rm fb^{-1}}$ of $e^+e^-$ collision data collected at a center-of-mass energy of 3.773 ${\rm GeV}$ with the BESIII detector, we present an analysis of the decay $D^{0} \to \eta \pi^- e^+ \nu_{e}$. The branching fraction of the decay $D^{0} \to a_{0}(980)^{-} e^+ \nu_{e}$ with $a_{0}(980)^{-} \to \eta \pi^{-}$ is measured to be $(0.86\pm0.17_{\te

  98. Sungyoon Kim, Aaron Mishkin, Mert Pilanci

    We discuss several aspects of the loss landscape of regularized neural networks: the structure of stationary points, connectivity of optimal solutions, path with nonincreasing loss to arbitrary global optimum, and the nonuniqueness of optimal solutions, by casting the problem into an equivalent convex problem and considering its dual. Starting from two-layer

  99. Wu Chen, Qiuping Jiang, Wei Zhou, Feng Shao

    Three-dimensional (3D) point cloud, as an emerging visual media format, is increasingly favored by consumers as it can provide more realistic visual information than two-dimensional (2D) data. Similar to 2D plane images and videos, point clouds inevitably suffer from quality degradation and information loss through multimedia communication systems. Therefore

  100. Serena Dipierro, Enrico Valdinoci, Riccardo Villa

    We consider a fractional Plateau's problem dealing with sets with prescribed non-local mean curvature. This problem can be seen as a non-local counterpart of the classical Massari's Problem. We obtain existence and regularity results, relying on a suitable version of the non-local theory for almost minimal sets. In this framework, the fractional curvature te