Mathematics

Authors and titles for October 2025

[4701] arXiv:2510.20644 (cross-list from cs.LG) [cn-pdf, pdf, html, other]

Title: Connecting Jensen-Shannon and Kullback-Leibler Divergences: A New Bound for Representation Learning Show Chinese title

Title: 连接Jensen-Shannon和Kullback-Leibler散度：表示学习的新界限

Reuben Dorent, Polina Golland, William Wells III

Comments: Accepted at NeurIPS 2025. Code available at https://github.com/ReubenDo/JSDlowerbound/

Subjects: Machine Learning (cs.LG) ; Information Theory (cs.IT)

[4702] arXiv:2510.20728 (cross-list from quant-ph) [cn-pdf, pdf, html, other]

Title: Co-Designing Quantum Codes with Transversal Diagonal Gates via Multi-Agent Systems Show Chinese title

Title: 通过多智能体系统协同设计具有可转换对角门的量子码

Xi He, Sirui Lu, Bei Zeng

Comments: 29 pages, 2 figures

Subjects: Quantum Physics (quant-ph) ; Artificial Intelligence (cs.AI) ; Computation and Language (cs.CL) ; Mathematical Physics (math-ph)

[4703] arXiv:2510.20738 (cross-list from cs.HC) [cn-pdf, pdf, html, other]

Title: Optimizing Feature Ordering in Radar Charts for Multi-Profile Comparison Show Chinese title

Title: 优化雷达图中的特征顺序以进行多轮廓比较

Albert Dorador

Subjects: Human-Computer Interaction (cs.HC) ; Data Structures and Algorithms (cs.DS) ; Graphics (cs.GR) ; Optimization and Control (math.OC) ; Other Statistics (stat.OT)

[4704] arXiv:2510.20763 (cross-list from q-fin.MF) [cn-pdf, pdf, html, other]

Title: Consumption-Investment Problem in Rank-Based Models Show Chinese title

Title: 基于排名的消费-投资问题

David Itkin

Comments: 13 pages

Subjects: Mathematical Finance (q-fin.MF) ; Probability (math.PR)

[4705] arXiv:2510.20802 (cross-list from cs.DM) [cn-pdf, pdf, html, other]

Title: A Classification of Long-Refinement Graphs for Colour Refinement Show Chinese title

Title: 长细化图的分类用于颜色细化

Sandra Kiefer, T. Devini de Mel

Comments: Full version of a paper accepted for publication at SODA 2026. 44 pages, 16 figures, 6 tables

Subjects: Discrete Mathematics (cs.DM) ; Computational Complexity (cs.CC) ; Logic in Computer Science (cs.LO) ; Combinatorics (math.CO)

[4706] arXiv:2510.20824 (cross-list from nlin.CD) [cn-pdf, pdf, html, other]

Title: A Probability Space at Inception of Stochastic Process Show Chinese title

Title: 一个随机过程初始的概率空间

Liteng Yang, Yuliang Liu, Jing Liu, Hongxuan Li, Wei Chen

Comments: 14 pages, 1 figure

Subjects: Chaotic Dynamics (nlin.CD) ; Materials Science (cond-mat.mtrl-sci) ; Statistical Mechanics (cond-mat.stat-mech) ; Mathematical Physics (math-ph)

[4707] arXiv:2510.20826 (cross-list from physics.comp-ph) [cn-pdf, pdf, html, other]

Title: Interpolative separable density fitting on adaptive real space grids Show Chinese title

Title: 自适应实空间网格上的插值可分离密度拟合

Hai Zhu, Chia-Nan Yeh, Miguel A. Morales, Leslie Greengard, Shidong Jiang, Jason Kaye

Comments: 12 pages, 8 figures

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

[4708] arXiv:2510.20848 (cross-list from q-bio.NC) [cn-pdf, pdf, html, other]

Title: Multi-stable oscillations in cortical networks with two classes of inhibition Show Chinese title

Title: 皮层网络中两类抑制的多稳态振荡

Arnab Dey Sarkar, Bard Ermentrout

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

[4709] arXiv:2510.20862 (cross-list from cond-mat.str-el) [cn-pdf, pdf, html, other]

Title: A Universal Chern Model on Arbitrary Triangulations Show Chinese title

Title: 任意三角剖分上的通用陈模型

Nigel Higson, Emil Prodan

Subjects: Strongly Correlated Electrons (cond-mat.str-el) ; Materials Science (cond-mat.mtrl-sci) ; Mathematical Physics (math-ph) ; Operator Algebras (math.OA)

[4710] arXiv:2510.20871 (cross-list from stat.ML) [cn-pdf, pdf, html, other]

Title: Exponential Convergence Guarantees for Iterative Markovian Fitting Show Chinese title

Title: 迭代马尔可夫拟合的指数收敛保证

Marta Gentiloni Silveri, Giovanni Conforti, Alain Durmus

Subjects: Machine Learning (stat.ML) ; Machine Learning (cs.LG) ; Probability (math.PR)

[4711] arXiv:2510.20883 (cross-list from stat.ML) [cn-pdf, pdf, html, other]

Title: Kernel Learning with Adversarial Features: Numerical Efficiency and Adaptive Regularization Show Chinese title

Title: 带有对抗性特征的核学习：数值效率和自适应正则化

Antônio H. Ribeiro, David Vävinggren, Dave Zachariah, Thomas B. Schön, Francis Bach

Comments: Accepted NeurIPS 2025

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

[4712] arXiv:2510.20905 (cross-list from cs.LG) [cn-pdf, pdf, html, other]

Title: Global Dynamics of Heavy-Tailed SGDs in Nonconvex Loss Landscape: Characterization and Control Show Chinese title

Title: 重尾SGDs在非凸损失景观中的全局动力学：表征与控制

Xingyu Wang, Chang-Han Rhee

Comments: 60 pages, 2 figures, 4 tables

Subjects: Machine Learning (cs.LG) ; Probability (math.PR)

[4713] arXiv:2510.20922 (cross-list from cs.CR) [cn-pdf, pdf, other]

Title: A new measure for dynamic leakage based on quantitative information flow Show Chinese title

Title: 基于量化信息流的动态泄漏新度量

Luigi D. C. Soares, Mário S. Alvim, Natasha Fernandes

Subjects: Cryptography and Security (cs.CR) ; Information Theory (cs.IT)

[4714] arXiv:2510.20929 (cross-list from physics.optics) [cn-pdf, pdf, html, other]

Title: Pty-Chi: A PyTorch-based modern ptychographic data analysis package Show Chinese title

Title: Pty-Chi: 一个基于PyTorch的现代ptychographic数据分析包

Ming Du, Hanna Ruth, Steven Henke, Yi Jiang, Viktor Nikitin, Ashish Tripathi, Junjing Deng, Jeffrey Klug, Peco Myint, Tao Zhou, Nicholas Schwarz, Mathew Cherukara, Alec Sandy, Stefan Vogt

Subjects: Optics (physics.optics) ; Mathematical Software (cs.MS) ; Numerical Analysis (math.NA) ; Data Analysis, Statistics and Probability (physics.data-an)

[4715] arXiv:2510.20935 (cross-list from gr-qc) [cn-pdf, pdf, html, other]

Title: Compact binary system dynamics at the second post-Newtonian order: analytical formula of the coordinate time for eccentric and circular orbits Show Chinese title

Title: 在第二Post-Newtonian阶的紧凑双星系统动力学：偏心和圆轨道的坐标时间的解析公式

Vittorio De Falco, Marco Gallo

Comments: 12 pages; 3 figures; 3 tables; 1 appendix

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)

[4716] arXiv:2510.20971 (cross-list from quant-ph) [cn-pdf, pdf, html, other]

Title: No-broadcasting of non-Gaussian states Show Chinese title

Title: 非高斯态的非广播性

Kaustav Chatterjee, Ulrik Lund Andersen

Comments: 9 pages, 3 figures

Subjects: Quantum Physics (quant-ph) ; Mathematical Physics (math-ph)

[4717] arXiv:2510.21047 (cross-list from stat.ME) [cn-pdf, pdf, html, other]

Title: Autocorrelation Test under Frequent Mean Shifts Show Chinese title

Title: 频繁均值变化下的自相关性检验

Ziyang Liu, Ning Hao, Yue Selena Niu, Han Xiao, Hongxu Ding

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

[4718] arXiv:2510.21078 (cross-list from cs.LG) [cn-pdf, pdf, html, other]

Title: Neural Collapse under Gradient Flow on Shallow ReLU Networks for Orthogonally Separable Data Show Chinese title

Title: 梯度流下浅层ReLU网络对正交可分离数据的神经坍缩

Hancheng Min, Zhihui Zhu, René Vidal

Comments: NeurIPS 2025

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

[4719] arXiv:2510.21095 (cross-list from quant-ph) [cn-pdf, pdf, html, other]

Title: Stability of Maximum-Entropy Inference in Finite Dimensions Show Chinese title

Title: 有限维中的最大熵推断的稳定性

James Tian

Subjects: Quantum Physics (quant-ph) ; Functional Analysis (math.FA)

[4720] arXiv:2510.21108 (cross-list from quant-ph) [cn-pdf, pdf, html, other]

Title: Myopic Entropy Scheduling for Ramsey Magnetometry Show Chinese title

Title: 近视熵调度用于拉姆齐磁强计

Julian Greentree, William Moran, Rob Evans, Andrew Melatos, Neel Kanth Kundu, Peter M. Farrell

Comments: 15 pages (including Appendices), 13 figures (including author images)

Subjects: Quantum Physics (quant-ph) ; Mathematical Physics (math-ph)

[4721] arXiv:2510.21178 (cross-list from cs.GT) [cn-pdf, pdf, other]

Title: Instance-Adaptive Hypothesis Tests with Heterogeneous Agents Show Chinese title

Title: 带有异质代理的实例自适应假设检验

Flora C. Shi, Martin J. Wainwright, Stephen Bates

Subjects: Computer Science and Game Theory (cs.GT) ; Machine Learning (cs.LG) ; Econometrics (econ.EM) ; Statistics Theory (math.ST) ; Methodology (stat.ME)

[4722] arXiv:2510.21210 (cross-list from cs.LG) [cn-pdf, pdf, other]

Title: On the flow matching interpretability Show Chinese title

Title: 关于流匹配的可解释性

Francesco Pivi, Simone Gazza, Davide Evangelista, Roberto Amadini, Maurizio Gabbrielli

Subjects: Machine Learning (cs.LG) ; Statistics Theory (math.ST) ; Applied Physics (physics.app-ph) ; Computational Physics (physics.comp-ph)

[4723] arXiv:2510.21238 (cross-list from eess.SY) [cn-pdf, pdf, html, other]

Title: Physics-Informed Neural Networks for MIMO Beam Map and Environment Reconstruction Show Chinese title

Title: 基于物理信息的神经网络用于MIMO波束图和环境重建

Wangqian Chen, Junting Chen, Shuguang Cui

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

[4724] arXiv:2510.21245 (cross-list from cs.LG) [cn-pdf, pdf, html, other]

Title: Convergence of Stochastic Gradient Langevin Dynamics in the Lazy Training Regime Show Chinese title

Title: 随机梯度朗之万动力学在懒惰训练区域的收敛性

Noah Oberweis, Semih Cayci

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

[4725] arXiv:2510.21318 (cross-list from nlin.CD) [cn-pdf, pdf, html, other]

Title: A Deep Learning Framework for Identifying Weakly Chaotic, Strongly Chaotic, Resonant and Non-resonant Orbits in the Generalized Kicked Rotator Show Chinese title

Title: 一种用于识别广义踢转子中弱混沌、强混沌、共振和非共振轨道的深度学习框架

Jian Zu, Zhiguo Xu, Jingyue Hao

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

[4726] arXiv:2510.21339 (cross-list from cs.CL) [cn-pdf, pdf, html, other]

Title: Multi-turn Training with Basic Human Feedback Helps Little on LLM Reasoning Show Chinese title

Title: 多轮训练结合基本人类反馈对大语言模型推理帮助不大

Qiang Liu, Wuganjing Song, Zhenzhou Lin, Feifan Chen, Qiaolong Cai, Chen Li, Yongduo Sui

Subjects: Computation and Language (cs.CL) ; Information Theory (cs.IT) ; Machine Learning (cs.LG)

[4727] arXiv:2510.21371 (cross-list from q-bio.PE) [cn-pdf, pdf, other]

Title: SIR models with demography, random transmission coefficient and non-autonomous vaccination rate Show Chinese title

Title: 带有人口统计学、随机传播系数和非自治接种率的SIR模型

Javier López-de-la-Cruz, Susana Merchán, Felipe Rivero, Javier Rodrigo

Journal-ref: Computational and Applied Mathematics, 45, 47 (2026)

Subjects: Populations and Evolution (q-bio.PE) ; Dynamical Systems (math.DS)

[4728] arXiv:2510.21483 (cross-list from cs.CR) [cn-pdf, pdf, html, other]

Title: Introducing GRAFHEN: Group-based Fully Homomorphic Encryption without Noise Show Chinese title

Title: 引入GRAPHEN：无噪声的基于分组的全同态加密

Pierre Guillot, Auguste Hoang Duc, Michel Koskas, Florian Méhats

Subjects: Cryptography and Security (cs.CR) ; Group Theory (math.GR)

[4729] arXiv:2510.21541 (cross-list from cs.LG) [cn-pdf, pdf, html, other]

Title: Cost Minimization for Space-Air-Ground Integrated Multi-Access Edge Computing Systems Show Chinese title

Title: 空间-空-地一体化多接入边缘计算系统的成本最小化

Weihong Qin, Aimin Wang, Geng Sun, Zemin Sun, Jiacheng Wang, Dusit Niyato, Dong In Kim, Zhu Han

Subjects: Machine Learning (cs.LG) ; Information Theory (cs.IT)

[4730] arXiv:2510.21544 (cross-list from quant-ph) [cn-pdf, pdf, html, other]

Title: Quantum Similarity-Driven QUBO Framework for Multi-Period Supply Chain Allocation using Time-Multiplexed Coherent Ising Machines and Simulated Quantum Annealing Show Chinese title

Title: 基于时间复用相干伊辛机和模拟量子退火的多周期供应链分配的量子相似性驱动QUBO框架

Rushikesh Ubale, Yasar Mulani, Abhay Suresh, Gregory Byrd, Sangram Deshpande, B.R.Nikilesh, Sanya Nanda

Comments: 31 pages, 8 figures KeyWords: Quantum-inspired optimization, QUBO, Supply chain management, Coherent Ising Machine, Simulated Quantum Annealing, SKU allocation, Quantum similarity kernel, Slack-bit encoding

Subjects: Quantum Physics (quant-ph) ; Optimization and Control (math.OC)

[4731] arXiv:2510.21612 (cross-list from eess.SY) [cn-pdf, pdf, html, other]

Title: Rate-cost tradeoffs in continuous-time control with a biomolecular application Show Chinese title

Title: 连续时间控制中的速率-成本权衡及其在生物分子应用中的体现

Yorie Nakahira, Fangzhou Xiao, Victoria Kostina, John C. Doyle

Journal-ref: IEEE Transactions of Automatic Control, Apr. 2026

Subjects: Systems and Control (eess.SY) ; Information Theory (cs.IT) ; Optimization and Control (math.OC)

[4732] arXiv:2510.21613 (cross-list from cs.DS) [cn-pdf, pdf, html, other]

Title: Beyond Smoothed Analysis: Analyzing the Simplex Method by the Book Show Chinese title

Title: 超越平滑分析：通过书籍分析单纯形法

Eleon Bach, Alexander E. Black, Sophie Huiberts, Sean Kafer

Comments: 42 pages

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

[4733] arXiv:2510.21646 (cross-list from gr-qc) [cn-pdf, pdf, html, other]

Title: Conformal characterization of the Fefferman-Graham ambient metric Show Chinese title

Title: 共形特征的费弗曼-格雷厄姆环境度量

Marc Mars, Gabriel Sánchez-Pérez

Comments: 19 pages

Subjects: General Relativity and Quantum Cosmology (gr-qc) ; Differential Geometry (math.DG)

[4734] arXiv:2510.21668 (cross-list from cs.GT) [cn-pdf, pdf, html, other]

Title: Privacy Guarantee for Nash Equilibrium Computation of Aggregative Games Based on Pointwise Maximal Leakage Show Chinese title

Title: 基于逐点最大泄漏的聚合博弈纳什均衡计算隐私保证

Zhaoyang Cheng, Guanpu Chen, Tobias J. Oechtering, Mikael Skoglund

Subjects: Computer Science and Game Theory (cs.GT) ; Information Theory (cs.IT)

[4735] arXiv:2510.21670 (cross-list from cond-mat.stat-mech) [cn-pdf, pdf, html, other]

Title: Beyond Poisson: First-Passage Asymptotics of Renewal Shot Noise Show Chinese title

Title: 超越泊松：更新脉冲噪声的第一穿越渐近行为

Julien Brémont

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

[4736] arXiv:2510.21691 (cross-list from cs.LG) [cn-pdf, pdf, html, other]

Title: On Uncertainty Calibration for Equivariant Functions Show Chinese title

Title: 关于等变函数的不确定性校准

Edward Berman, Jacob Ginesin, Marco Pacini, Robin Walters

Comments: Under review at Transactions on Machine Learning Research (TMLR). Code is available at https://github.com/EdwardBerman/EquiUQ . Excited to share this paper, comments welcome :D

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

[4737] arXiv:2510.21700 (cross-list from cs.DS) [cn-pdf, pdf, html, other]

Title: O(1)-Distortion Planar Emulators for String Graphs Show Chinese title

Title: O(1) distortion 平面模拟器用于字符串图

Hsien-Chih Chang, Jonathan Conroy, Zihan Tan, Da Wei Zheng

Subjects: Data Structures and Algorithms (cs.DS) ; Computational Geometry (cs.CG) ; Discrete Mathematics (cs.DM) ; Combinatorics (math.CO) ; Metric Geometry (math.MG)

[4738] arXiv:2510.21767 (cross-list from physics.comp-ph) [cn-pdf, pdf, html, other]

Title: Quantum-inspired space-time PDE solver and dynamic mode decomposition Show Chinese title

Title: 量子启发的空间时间PDE求解器和动态模式分解

Raghavendra Dheeraj Peddinti, Stefano Pisoni, Narsimha Rapaka, Mohamed K. Riahi, Egor Tiunov, Leandro Aolita

Comments: 9 pages, 4 figures (Supplementary information: 5 pages, 3 figures)

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

[4739] arXiv:2510.21770 (cross-list from cs.LG) [cn-pdf, pdf, html, other]

Title: Numerical Fragility in Transformers: A Layer-wise Theory for Explaining, Forecasting, and Mitigating Instability Show Chinese title

Title: 变压器中的数值脆弱性：一种分层理论，用于解释、预测和缓解不稳定性

Jinwoo Baek

Comments: 15 pages

Subjects: Machine Learning (cs.LG) ; Numerical Analysis (math.NA)

[4740] arXiv:2510.21772 (cross-list from cs.LG) [cn-pdf, pdf, html, other]

Title: Chebyshev Moment Regularization (CMR): Condition-Number Control with Moment Shaping Show Chinese title

Title: 切比雪夫矩正则化（CMR）：条件数控制与矩形塑造

Jinwoo Baek

Comments: 15 pages

Subjects: Machine Learning (cs.LG) ; Numerical Analysis (math.NA)

[4741] arXiv:2510.21800 (cross-list from cs.LG) [cn-pdf, pdf, html, other]

Title: MARS-M: When Variance Reduction Meets Matrices Show Chinese title

Title: MARS-M：当方差减少遇到矩阵

Yifeng Liu, Angela Yuan, Quanquan Gu

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

[4742] arXiv:2510.21889 (cross-list from stat.ML) [cn-pdf, pdf, html, other]

Title: Bridging Prediction and Attribution: Identifying Forward and Backward Causal Influence Ranges Using Assimilative Causal Inference Show Chinese title

Title: 连接预测与归因：使用吸收因果推断识别前向和后向因果影响范围

Marios Andreou, Nan Chen

Comments: 39 pages (Main Text pp. 1--25; Supplementary Materials/Appendix pp. 26--35), 9 figures (all in Main Text). Submitted for peer-review to SIAM/ASA Journal on Uncertainty Quantification. Code available upon request. For more info see https://mariosandreou.short.gy/FBCIR

Subjects: Machine Learning (stat.ML) ; Machine Learning (cs.LG) ; Statistics Theory (math.ST) ; Data Analysis, Statistics and Probability (physics.data-an) ; Methodology (stat.ME)

[4743] arXiv:2510.21922 (cross-list from hep-th) [cn-pdf, pdf, html, other]

Title: Constrained instantons in scalar field theories Show Chinese title

Title: 标量场理论中的约束瞬子

Benjamin Elder, Kinga Gawrych, Arttu Rajantie

Comments: 30 pages, 16 figures

Subjects: High Energy Physics - Theory (hep-th) ; Mathematical Physics (math-ph) ; Pattern Formation and Solitons (nlin.PS)

[4744] arXiv:2510.21949 (cross-list from quant-ph) [cn-pdf, pdf, html, other]

Title: Form-preserving transformations of wave and Wigner functions Show Chinese title

Title: 波函数和Wigner函数的保形变换

Mustafa Amin, Mason Daub, Mark A. Walton

Comments: 33 pages, 3 figures

Subjects: Quantum Physics (quant-ph) ; Mathematical Physics (math-ph)

[4745] arXiv:2510.21952 (cross-list from cs.LG) [cn-pdf, pdf, html, other]

Title: Revisiting Orbital Minimization Method for Neural Operator Decomposition Show Chinese title

Title: 重新审视神经算子分解的轨道最小化方法

J. Jon Ryu, Samuel Zhou, Gregory W. Wornell

Comments: 25 pages, 8 figures. To appear at NeurIPS 2025

Subjects: Machine Learning (cs.LG) ; Numerical Analysis (math.NA) ; Machine Learning (stat.ML)

[4746] arXiv:2510.21980 (cross-list from cs.LG) [cn-pdf, pdf, html, other]

Title: Boltzmann Graph Ensemble Embeddings for Aptamer Libraries Show Chinese title

Title: 玻尔兹曼图集合嵌入用于适配体文库

Starlika Bauskar, Jade Jiao, Narayanan Kannan, Alexander Kimm, Justin M. Baker, Matthew J. Tyler, Andrea L. Bertozzi, Anne M. Andrews

Subjects: Machine Learning (cs.LG) ; Probability (math.PR) ; Quantitative Methods (q-bio.QM) ; Machine Learning (stat.ML)

[4747] arXiv:2510.22007 (cross-list from cs.LG) [cn-pdf, pdf, html, other]

Title: Optimal Detection for Language Watermarks with Pseudorandom Collision Show Chinese title

Title: 具有伪随机碰撞的语言水印最优检测

T. Tony Cai, Xiang Li, Qi Long, Weijie J. Su, Garrett G. Wen

Subjects: Machine Learning (cs.LG) ; Computation and Language (cs.CL) ; Cryptography and Security (cs.CR) ; Statistics Theory (math.ST) ; Machine Learning (stat.ML)

[4748] arXiv:2510.22063 (cross-list from stat.ML) [cn-pdf, pdf, html, other]

Title: Frequentist Validity of Epistemic Uncertainty Estimators Show Chinese title

Title: 频率学派有效性的情感不确定性估计量

Anchit Jain, Stephen Bates

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

[4749] arXiv:2510.22114 (cross-list from quant-ph) [cn-pdf, pdf, html, other]

Title: An Algebraic-Recursive Approach to Generate Higher-Order Symmetry Operators for Schrödinger and Klein-Gordon equations Show Chinese title

Title: 一种代数递归方法生成薛定谔方程和克莱因-戈登方程的高阶对称性算子

Enrique Casanova, Melvin Arias

Subjects: Quantum Physics (quant-ph) ; Mathematical Physics (math-ph)

[4750] arXiv:2510.22158 (cross-list from cs.LG) [cn-pdf, pdf, html, other]

Title: Solving Continuous Mean Field Games: Deep Reinforcement Learning for Non-Stationary Dynamics Show Chinese title

Title: 求解连续平均场博弈：非平稳动力学的深度强化学习

Lorenzo Magnino, Kai Shao, Zida Wu, Jiacheng Shen, Mathieu Laurière

Comments: Neurips 2025

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