Mathematics

Authors and titles for October 2025

[4576] arXiv:2510.17433 (cross-list from astro-ph.IM) [cn-pdf, pdf, html, other]

Title: A Brief History of Inference in Astronomy Show Chinese title

Title: 天文学中的推断简史

Rafael S. de Souza, Emille E. O. Ishida, Alberto Krone-Martins

Comments: Invited featured article published in the Notices of the American Mathematical Society. The arXiv version is posted solely to provide access to some additional references

Journal-ref: Notices of the American Mathematical Society, Volume 72, Number 10, November 2025

Subjects: Instrumentation and Methods for Astrophysics (astro-ph.IM) ; Cosmology and Nongalactic Astrophysics (astro-ph.CO) ; History and Overview (math.HO)

[4577] arXiv:2510.17445 (cross-list from cs.NI) [cn-pdf, pdf, html, other]

Title: Adaptive Local Combining with Decentralized Decoding for Distributed Massive MIMO Show Chinese title

Title: 基于分布式大规模MIMO的自适应局部组合与去中心化解码

Mohd Saif Ali Khan, Karthik RM, Samar Agnihotri

Subjects: Networking and Internet Architecture (cs.NI) ; Information Theory (cs.IT)

[4578] arXiv:2510.17448 (cross-list from cs.RO) [cn-pdf, pdf, html, other]

Title: A Generalization of Input-Output Linearization via Dynamic Switching Between Melds of Output Functions Show Chinese title

Title: 输出函数组之间的动态切换的输入输出线性化的推广

Mirko Mizzoni, Pieter van Goor, Barbara Bazzana, Antonio Franchi

Subjects: Robotics (cs.RO) ; Dynamical Systems (math.DS)

[4579] arXiv:2510.17451 (cross-list from cs.CC) [cn-pdf, pdf, html, other]

Title: The Parameterized Complexity of Computing the VC-Dimension Show Chinese title

Title: 参数化复杂性计算VC维

Florent Foucaud, Harmender Gahlawat, Fionn Mc Inerney, Prafullkumar Tale

Comments: To appear in the proceedings of NeurIPS 2025

Subjects: Computational Complexity (cs.CC) ; Artificial Intelligence (cs.AI) ; Discrete Mathematics (cs.DM) ; Machine Learning (cs.LG) ; Combinatorics (math.CO)

[4580] arXiv:2510.17456 (cross-list from physics.med-ph) [cn-pdf, pdf, html, other]

Title: Inverse Optimal Control of Muscle Force Sharing During Pathological Gait Show Chinese title

Title: 病理步态期间肌肉力分配的逆最优控制

Filip Bečanović, Vincent Bonnet, Kosta Jovanović, Samer Mohammed, Raphaël Dumas

Subjects: Medical Physics (physics.med-ph) ; Robotics (cs.RO) ; Systems and Control (eess.SY) ; Optimization and Control (math.OC)

[4581] arXiv:2510.17503 (cross-list from cs.LG) [cn-pdf, pdf, html, other]

Title: Stochastic Difference-of-Convex Optimization with Momentum Show Chinese title

Title: 带有动量的随机凸差优化

El Mahdi Chayti, Martin Jaggi

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

[4582] arXiv:2510.17506 (cross-list from cs.LG) [cn-pdf, pdf, html, other]

Title: Convergence Rates for Gradient Descent on the Edge of Stability in Overparametrised Least Squares Show Chinese title

Title: 在过参数化最小二乘问题中，稳定边界的梯度下降收敛速率

Lachlan Ewen MacDonald, Hancheng Min, Leandro Palma, Salma Tarmoun, Ziqing Xu, René Vidal

Comments: NeurIPS2025. Code available at https://github.com/lemacdonald/eos-convergence-rates-codimension-1

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

[4583] arXiv:2510.17513 (cross-list from quant-ph) [cn-pdf, pdf, html, other]

Title: Quantum Mechanics Relative to a Quantum Reference System: Relative State Approach Show Chinese title

Title: 量子力学相对于量子参考系：相对态方法

M.J.Luo

Comments: 23 pages

Subjects: Quantum Physics (quant-ph) ; General Relativity and Quantum Cosmology (gr-qc) ; Mathematical Physics (math-ph)

[4584] arXiv:2510.17560 (cross-list from gr-qc) [cn-pdf, pdf, html, other]

Title: An Extended Second Law of Thermodynamics Show Chinese title

Title: 热力学第二定律的扩展

Alejandro Corichi, Omar Gallegos

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

[4585] arXiv:2510.17567 (cross-list from stat.ME) [cn-pdf, pdf, html, other]

Title: The modified odd Burr XII-G family of distributions: Properties and Applications Show Chinese title

Title: 修改的奇Burr XII-G分布族：性质与应用

Alexsandro A. Ferreira, Gauss M. Cordeiro

Subjects: Methodology (stat.ME) ; Statistics Theory (math.ST)

[4586] arXiv:2510.17608 (cross-list from stat.ML) [cn-pdf, pdf, html, other]

Title: Non-asymptotic error bounds for probability flow ODEs under weak log-concavity Show Chinese title

Title: 弱对数凹性下概率流ODE的非渐近误差界

Gitte Kremling, Francesco Iafrate, Mahsa Taheri, Johannes Lederer

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

[4587] arXiv:2510.17623 (cross-list from gr-qc) [cn-pdf, pdf, html, other]

Title: Exploring quantum fields in rotating black holes Show Chinese title

Title: 探索旋转黑洞中的量子场

Christiane K.M. Klein

Comments: 18 pages, 2 figures, invited contribution to the Special Topic on "XXI International Congress on Mathematical Physics 2024" in Journal of Mathematical Physics

Subjects: General Relativity and Quantum Cosmology (gr-qc) ; Mathematical Physics (math-ph)

[4588] arXiv:2510.17728 (cross-list from hep-th) [cn-pdf, pdf, html, other]

Title: Matrix Correlators as Discrete Volumes of Moduli Space I: Recursion Relations, the BMN-limit and DSSYK Show Chinese title

Title: 矩阵关联函数作为模空间的离散体积 I：递归关系，BMN 极限和 DSSYK

Alessandro Giacchetto, Pronobesh Maity, Edward A. Mazenc

Comments: 36 pages + Appendices

Subjects: High Energy Physics - Theory (hep-th) ; Mathematical Physics (math-ph) ; Algebraic Geometry (math.AG)

[4589] arXiv:2510.17737 (cross-list from cs.CG) [cn-pdf, pdf, html, other]

Title: Who Needs Crossings?: Noncrossing Linkages are Universal, and Deciding (Global) Rigidity is Hard Show Chinese title

Title: 谁需要交叉？ ：非交叉链接是通用的，判断（全局）刚性是困难的

Zachary Abel, Erik D. Demaine, Martin L. Demaine, Sarah Eisenstat, Jayson Lynch, Tao B. Schardl

Comments: 75 pages, 22 figures

Journal-ref: Journal of Computational Geometry, 16(1), 2025

Subjects: Computational Geometry (cs.CG) ; Metric Geometry (math.MG)

[4590] arXiv:2510.17775 (cross-list from eess.SP) [cn-pdf, pdf, html, other]

Title: Sample Complexity Analysis of Multi-Target Detection via Markovian and Hard-Core Multi-Reference Alignment Show Chinese title

Title: 多目标检测的样本复杂度分析通过马尔可夫和硬核多参考对齐

Kweku Abraham, Amnon Balanov, Tamir Bendory, Carlos Esteve-Yagüe

Subjects: Signal Processing (eess.SP) ; Information Theory (cs.IT)

[4591] arXiv:2510.17802 (cross-list from cs.LG) [cn-pdf, pdf, html, other]

Title: Unbiased Gradient Low-Rank Projection Show Chinese title

Title: 无偏梯度低秩投影

Rui Pan, Yang Luo, Yuxing Liu, Yang You, Tong Zhang

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

[4592] arXiv:2510.17806 (cross-list from nlin.CD) [cn-pdf, pdf, html, other]

Title: General Fractional Dynamics Show Chinese title

Title: 一般分数阶动力学

Vasily E. Tarasov

Comments: 39 pages. LaTeX

Journal-ref: Mathematics. 2021. Vol.9. No.13. Article numnber 1464

Subjects: Chaotic Dynamics (nlin.CD) ; Dynamical Systems (math.DS)

[4593] arXiv:2510.17818 (cross-list from eess.SP) [cn-pdf, pdf, html, other]

Title: Single-Snapshot Gridless 2D-DoA Estimation for UCAs: A Joint Optimization Approach Show Chinese title

Title: 无网格二维方向估计用于UCAs：一种联合优化方法

Salar Nouri

Subjects: Signal Processing (eess.SP) ; Information Theory (cs.IT) ; Machine Learning (cs.LG)

[4594] arXiv:2510.17823 (cross-list from eess.SP) [cn-pdf, pdf, html, other]

Title: Covariance Matrix Construction with Preprocessing-Based Spatial Sampling for Robust Adaptive Beamforming Show Chinese title

Title: 基于预处理的空域采样的协方差矩阵构造用于稳健自适应波束成形

Saeed Mohammadzadeh, Rodrigo C.de Lamare, Yuriy Zakharov

Comments: 13 figures, 14 pages

Subjects: Signal Processing (eess.SP) ; Information Theory (cs.IT) ; Machine Learning (cs.LG)

[4595] arXiv:2510.17829 (cross-list from cs.CC) [cn-pdf, pdf, html, other]

Title: A Homological Proof of $\mathbf{P} \neq \mathbf{NP}$: Computational Topology via Categorical Framework Show Chinese title

Title: 一个同调证明的$\mathbf{P} \neq \mathbf{NP}$：通过范畴框架的计算拓扑学

Jian-Gang Tang

Comments: 91 pages, 2 figures, 8 listings, complete formal verification in Lean 4

Subjects: Computational Complexity (cs.CC) ; Commutative Algebra (math.AC) ; Category Theory (math.CT) ; Rings and Algebras (math.RA)

[4596] arXiv:2510.17835 (cross-list from physics.app-ph) [cn-pdf, pdf, html, other]

Title: Robust interpretation of electrochemical impedance spectra using numerical complex analysis Show Chinese title

Title: 基于数值复分析的电化学阻抗谱鲁棒解析

Jithin D. George, Willa Brenneis, Vinod K. Sangwan, Dilara Meli, Heather Kurtz, Jeffrey Richards, Lincoln J. Lauhon, Jonathan Rivnay, Mark C. Hersam, Jeffrey Lopez, Maria K. Y. Chan, Valerie Taylor

Subjects: Applied Physics (physics.app-ph) ; Systems and Control (eess.SY) ; Complex Variables (math.CV) ; Data Analysis, Statistics and Probability (physics.data-an)

[4597] arXiv:2510.17837 (cross-list from q-bio.NC) [cn-pdf, pdf, html, other]

Title: Dynamic threshold curves and response precision in forced excitable systems Show Chinese title

Title: 动态阈值曲线和强制可激发系统中的响应精度

Jonathan E. Rubin, Justyna Signerska-Rynkowska, Jonathan Touboul

Subjects: Neurons and Cognition (q-bio.NC) ; Dynamical Systems (math.DS)

[4598] arXiv:2510.17877 (cross-list from eess.SY) [cn-pdf, pdf, html, other]

Title: DRL-Based Resource Allocation for Energy-Efficient IRS-Assisted UAV Spectrum Sharing Systems Show Chinese title

Title: 基于深度强化学习的高效能源IRS辅助无人机频谱共享系统资源分配

Yiheng Wang

Comments: 7 pages, 3 figures, 1 algorithm. LaTeX class: IEEEtran

Subjects: Systems and Control (eess.SY) ; Artificial Intelligence (cs.AI) ; Information Theory (cs.IT)

[4599] arXiv:2510.17886 (cross-list from stat.ML) [cn-pdf, pdf, other]

Title: Graphical model for tensor factorization by sparse sampling Show Chinese title

Title: 张量分解的图形模型通过稀疏采样

Angelo Giorgio Cavaliere, Riki Nagasawa, Shuta Yokoi, Tomoyuki Obuchi, Hajime Yoshino

Comments: 75 pages, 26 figures

Subjects: Machine Learning (stat.ML) ; Disordered Systems and Neural Networks (cond-mat.dis-nn) ; Statistical Mechanics (cond-mat.stat-mech) ; Information Theory (cs.IT) ; Machine Learning (cs.LG)

[4600] arXiv:2510.17888 (cross-list from cs.DS) [cn-pdf, pdf, html, other]

Title: Assignment-Routing Optimization with Cutting-Plane Subtour Elimination: Solver and Benchmark Dataset Show Chinese title

Title: 带有切割平面子环消除的配送路径优化：求解器和基准数据集

Qilong Yuan

Comments: 8 pages, 4 figures

Subjects: Data Structures and Algorithms (cs.DS) ; Optimization and Control (math.OC)