Mathematics

Authors and titles for October 2025

[4601] arXiv:2510.17945 (cross-list from eess.SY) [cn-pdf, pdf, html, other]

Title: An Exact Quantile-Energy Equality for Terminal Halfspaces in Linear-Gaussian Control with a Discrete-Time Companion, KL/Schrodinger Links, and High-Precision Validation Show Chinese title

Title: 线性高斯控制中终端半空间的精确分位数-能量等式，具有离散时间伴随系统、KL/薛定谔链接以及高精度验证

Sandro Andric

Subjects: Systems and Control (eess.SY) ; Optimization and Control (math.OC)

[4602] arXiv:2510.17988 (cross-list from cond-mat.stat-mech) [cn-pdf, pdf, html, other]

Title: First-passage properties of the jump process with a drift. The general case Show Chinese title

Title: 跳跃过程带漂移的第一 passage 性质 一般情况

Ivan N. Burenev

Comments: 55 pages, 11 figures

Subjects: Statistical Mechanics (cond-mat.stat-mech) ; Mathematical Physics (math-ph) ; Probability (math.PR)

[4603] arXiv:2510.18066 (cross-list from cs.DS) [cn-pdf, pdf, html, other]

Title: A Generalization of Distance Domination Show Chinese title

Title: 距离支配的一个推广

Alicia Muth, E. Dov Neimand

Comments: NA

Subjects: Data Structures and Algorithms (cs.DS) ; Combinatorics (math.CO)

[4604] arXiv:2510.18074 (cross-list from cs.LG) [cn-pdf, pdf, other]

Title: R2L: Reliable Reinforcement Learning: Guaranteed Return & Reliable Policies in Reinforcement Learning Show Chinese title

Title: R2L：可靠强化学习：强化学习中的保证回报与可靠策略

Nadir Farhi

Comments: 27 pages

Subjects: Machine Learning (cs.LG) ; Artificial Intelligence (cs.AI) ; Optimization and Control (math.OC)

[4605] arXiv:2510.18097 (cross-list from cond-mat.soft) [cn-pdf, pdf, html, other]

Title: Geometric Field Theory for Elastohydrodynamics of Cosserat Rods Show Chinese title

Title: 几何场论在Cosserat杆的弹性流体动力学中的应用

Mingjia Yan, Mohamed Warda, Balázs Németh, Lukas Kikuchi, Ronojoy Adhikari

Comments: 1st version, 12 pages, 2 figures, 1 table, comments welcome by email

Subjects: Soft Condensed Matter (cond-mat.soft) ; Mathematical Physics (math-ph)

[4606] arXiv:2510.18125 (cross-list from cond-mat.soft) [cn-pdf, pdf, html, other]

Title: Elastohydrodynamic instabilities of a soft robotic arm in a viscous fluid Show Chinese title

Title: 软体机械臂在粘性流体中的弹性水动力不稳定性

Mohamed Warda, Ronojoy Adhikari

Subjects: Soft Condensed Matter (cond-mat.soft) ; Mathematical Physics (math-ph) ; Classical Physics (physics.class-ph)

[4607] arXiv:2510.18130 (cross-list from cs.LG) [cn-pdf, pdf, other]

Title: Rethinking PCA Through Duality Show Chinese title

Title: 通过对偶性重新思考PCA

Jan Quan, Johan Suykens, Panagiotis Patrinos

Comments: NeurIPS 2025 poster

Subjects: Machine Learning (cs.LG) ; Optimization and Control (math.OC) ; Machine Learning (stat.ML)

[4608] arXiv:2510.18150 (cross-list from quant-ph) [cn-pdf, pdf, other]

Title: A Quantum Algorithm for the Finite Element Method Show Chinese title

Title: 一种有限元方法的量子算法

Ahmad M. Alkadri, Tyler D. Kharazi, K. Birgitta Whaley, Kranthi K. Mandadapu

Subjects: Quantum Physics (quant-ph) ; Numerical Analysis (math.NA) ; Computational Physics (physics.comp-ph) ; Fluid Dynamics (physics.flu-dyn)

[4609] arXiv:2510.18159 (cross-list from q-fin.PR) [cn-pdf, pdf, other]

Title: Semi-analytical pricing of American options with hybrid dividends via integral equations and the GIT method Show Chinese title

Title: 基于积分方程和GIT方法的混合股息美式期权半解析定价

Andrey Itkin

Comments: 43 pages, 9 figures, 2 tables

Subjects: Pricing of Securities (q-fin.PR) ; Analysis of PDEs (math.AP) ; Computational Finance (q-fin.CP) ; Mathematical Finance (q-fin.MF)

[4610] arXiv:2510.18170 (cross-list from cs.AI) [cn-pdf, pdf, html, other]

Title: AgentChangeBench: A Multi-Dimensional Evaluation Framework for Goal-Shift Robustness in Conversational AI Show Chinese title

Title: AgentChangeBench：对话AI中目标转移鲁棒性的多维评估框架

Manik Rana, Calissa Man, Anotida Expected Msiiwa, Jeffrey Paine, Kevin Zhu, Sunishchal Dev, Vasu Sharma, Ahan M R

Comments: Accepted to 39th Conference on Neural Information Processing Systems (NeurIPS 2025) Workshop: Multi-Turn Interactions in Large Language Models

Journal-ref: Neural Information Processing Systems (NeurIPS 2025)

Subjects: Artificial Intelligence (cs.AI) ; Emerging Technologies (cs.ET) ; Machine Learning (cs.LG) ; Software Engineering (cs.SE) ; Optimization and Control (math.OC)

[4611] arXiv:2510.18186 (cross-list from quant-ph) [cn-pdf, pdf, html, other]

Title: Burau representation, Squier's form, and non-Abelian anyons Show Chinese title

Title: Burau表示，Squier形式，以及非阿贝尔任意子

Alexander Kolpakov

Comments: 13 pages, 2 figures; GitHub repository at https://github.com/sashakolpakov/burau-switch

Subjects: Quantum Physics (quant-ph) ; Information Theory (cs.IT) ; Mathematical Physics (math-ph)

[4612] arXiv:2510.18195 (cross-list from cs.LG) [cn-pdf, pdf, html, other]

Title: Ensemble based Closed-Loop Optimal Control using Physics-Informed Neural Networks Show Chinese title

Title: 基于集合的闭环最优控制使用物理信息神经网络

Jostein Barry-Straume, Adwait D. Verulkar, Arash Sarshar, Andrey A. Popov, Adrian Sandu

Subjects: Machine Learning (cs.LG) ; Optimization and Control (math.OC)

[4613] arXiv:2510.18197 (cross-list from cs.CG) [cn-pdf, pdf, other]

Title: Bounding the number of holes required for folding rectangular polyominoes into cubes Show Chinese title

Title: 限定折叠矩形多米诺 into 立方体所需的孔数

Florian Lehner, Benjamin Shirley

Subjects: Computational Geometry (cs.CG) ; Combinatorics (math.CO)

[4614] arXiv:2510.18273 (cross-list from eess.SY) [cn-pdf, pdf, html, other]

Title: Distributed Allocation and Resource Scheduling Algorithms Resilient to Link Failure Show Chinese title

Title: 分布式分配和资源调度算法对链路故障的弹性

Mohammadreza Doostmohammadian, Sergio Pequito

Comments: European Journal of Control

Subjects: Systems and Control (eess.SY) ; Distributed, Parallel, and Cluster Computing (cs.DC) ; Multiagent Systems (cs.MA) ; Signal Processing (eess.SP) ; Optimization and Control (math.OC)

[4615] arXiv:2510.18286 (cross-list from quant-ph) [cn-pdf, pdf, other]

Title: Information geometry of nonmonotonic quantum natural gradient Show Chinese title

Title: 非单调量子自然梯度的信息几何

Hideyuki Miyahara

Comments: 35 pages, 21 figures, accepted for publication in Quantum Machine Intelligence

Subjects: Quantum Physics (quant-ph) ; Statistical Mechanics (cond-mat.stat-mech) ; Information Theory (cs.IT) ; Computational Physics (physics.comp-ph)

[4616] arXiv:2510.18347 (cross-list from cs.RO) [cn-pdf, pdf, html, other]

Title: Coverage-Recon: Coordinated Multi-Drone Image Sampling with Online Map Feedback Show Chinese title

Title: Coverage-Recon：基于在线地图反馈的协同多无人机图像采样

Muhammad Hanif, Reiji Terunuma, Takumi Sumino, Kelvin Cheng, Takeshi Hatanaka

Comments: Submitted to IEEE Transactions on Control Systems Technology (under review). Project page: https://htnk-lab.github.io/coverage-recon/

Subjects: Robotics (cs.RO) ; Systems and Control (eess.SY) ; Optimization and Control (math.OC)

[4617] arXiv:2510.18350 (cross-list from quant-ph) [cn-pdf, pdf, other]

Title: Entanglement Spectrum Resolved by Loop Symmetries Show Chinese title

Title: 通过环对称性解析的纠缠谱

Haruki Yagi, Zongping Gong

Comments: 18+32 pages, 5+8 figures. Comments welcome!

Subjects: Quantum Physics (quant-ph) ; Statistical Mechanics (cond-mat.stat-mech) ; Strongly Correlated Electrons (cond-mat.str-el) ; High Energy Physics - Theory (hep-th) ; Mathematical Physics (math-ph)

[4618] arXiv:2510.18393 (cross-list from cs.DS) [cn-pdf, pdf, html, other]

Title: Odd and Even Harder Problems on Cycle-Factors Show Chinese title

Title: 奇数和偶数更难的环因子问题

Florian Hörsch, Csaba Király, Mirabel Mendoza-Cadena, Gyula Pap, Eszter Szabó, Yutaro Yamaguchi

Comments: 17 pages, 7 figures

Subjects: Data Structures and Algorithms (cs.DS) ; Combinatorics (math.CO)

[4619] arXiv:2510.18408 (cross-list from hep-th) [cn-pdf, pdf, html, other]

Title: Multi-entropy from Linking in Chern-Simons Theory Show Chinese title

Title: 从Chern-Simons理论中的链接获得的多熵

Ma-Ke Yuan, Mingyi Li, Yang Zhou

Comments: 34 pages, 10 figures

Subjects: High Energy Physics - Theory (hep-th) ; Statistical Mechanics (cond-mat.stat-mech) ; Strongly Correlated Electrons (cond-mat.str-el) ; Mathematical Physics (math-ph) ; Quantum Physics (quant-ph)

[4620] arXiv:2510.18410 (cross-list from cs.LG) [cn-pdf, pdf, html, other]

Title: Provable Generalization Bounds for Deep Neural Networks with Adaptive Regularization Show Chinese title

Title: 具有自适应正则化的深度神经网络的可证明泛化界限

Adeel Safder

Comments: 8 pages

Subjects: Machine Learning (cs.LG) ; Statistics Theory (math.ST)

[4621] arXiv:2510.18419 (cross-list from gr-qc) [cn-pdf, pdf, other]

Title: Causality as a guiding principle for physics beyond General Relativity Show Chinese title

Title: 广义相对论之外物理学的因果性指导原则

Gerardo García-Moreno

Comments: PhD Thesis. 327 pages, 45 figures. This is a revised version that includes corrections of minor misprints and small edits for improved readability

Subjects: General Relativity and Quantum Cosmology (gr-qc) ; High Energy Astrophysical Phenomena (astro-ph.HE) ; High Energy Physics - Theory (hep-th) ; Mathematical Physics (math-ph)

[4622] arXiv:2510.18435 (cross-list from cond-mat.dis-nn) [cn-pdf, pdf, html, other]

Title: Overparametrization bends the landscape: BBP transitions at initialization in simple Neural Networks Show Chinese title

Title: 过参数化扭曲了景观：简单神经网络初始化时的BBP转变

Brandon Livio Annesi, Dario Bocchi, Chiara Cammarota

Comments: 22 pages, 7 figures

Subjects: Disordered Systems and Neural Networks (cond-mat.dis-nn) ; Statistical Mechanics (cond-mat.stat-mech) ; Spectral Theory (math.SP) ; Machine Learning (stat.ML)

[4623] arXiv:2510.18496 (cross-list from cs.DS) [cn-pdf, pdf, html, other]

Title: LatticeHashForest: An Efficient Data Structure for Repetitive Data and Operations Show Chinese title

Title: LatticeHashForest：用于重复数据和操作的高效数据结构

Anamitra Ghorui, Uday P. Khedker

Comments: 22 pages of main content. 47 pages total. Submitted to the Programming Journal (programming-journal.org). v1 is the submitted version. v2 corrects grammatical mistakes and improves on flow of text. Implementation: https://aghorui.github.io/lhf/ Artifact Draft: https://github.com/aghorui/lhf-eval

Subjects: Data Structures and Algorithms (cs.DS) ; Information Theory (cs.IT) ; Operating Systems (cs.OS) ; Programming Languages (cs.PL)

[4624] arXiv:2510.18524 (cross-list from hep-th) [cn-pdf, pdf, html, other]

Title: Superintegrability for some $(q,t)$-deformed matrix models Show Chinese title

Title: 某些$(q,t)$修正矩阵模型的超可积性

Fan Liu, Rui Wang, Jie Yang, Wei-Zhong Zhao

Comments: 20 pages

Subjects: High Energy Physics - Theory (hep-th) ; Mathematical Physics (math-ph)

[4625] arXiv:2510.18542 (cross-list from cs.LO) [cn-pdf, pdf, html, other]

Title: Basis-Sensitive Quantum Typing via Realisability Show Chinese title

Title: 基于可实现性的量子类型敏感性

Alejandro Díaz-Caro, Octavio Malherbe, Rafael Romero

Comments: 18 pages plus appendix

Subjects: Logic in Computer Science (cs.LO)