Mathematics

Authors and titles for October 2025

[4826] arXiv:2510.24491 (cross-list from hep-th) [cn-pdf, pdf, html, other]

Title: Quantum Relative Entropy implies the Semiclassical Einstein Equations Show Chinese title

Title: 量子相对熵蕴含半经典爱因斯坦方程

Philipp Dorau, Albert Much

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

[4827] arXiv:2510.24572 (cross-list from quant-ph) [cn-pdf, pdf, html, other]

Title: A No-Go Theorem for Shaping Quantum Resources Show Chinese title

Title: 关于塑造量子资源的无解定理

Samuel Alperin

Comments: 5 pages

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

[4828] arXiv:2510.24607 (cross-list from q-fin.PM) [cn-pdf, pdf, html, other]

Title: Entropy-Guided Multiplicative Updates: KL Projections for Multi-Factor Target Exposures Show Chinese title

Title: 熵引导的乘法更新：多因子目标暴露的KL投影

Yimeng Qiu

Subjects: Portfolio Management (q-fin.PM) ; Optimization and Control (math.OC)

[4829] arXiv:2510.24616 (cross-list from stat.ML) [cn-pdf, pdf, other]

Title: Statistical physics of deep learning: Optimal learning of a multi-layer perceptron near interpolation Show Chinese title

Title: 深度学习的统计物理：多层感知器在插值附近的最优学习

Jean Barbier, Francesco Camilli, Minh-Toan Nguyen, Mauro Pastore, Rudy Skerk

Comments: 30 pages, 19 figures + appendix. This submission supersedes both arXiv:2505.24849 and arXiv:2501.18530

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)

[4830] arXiv:2510.24687 (cross-list from eess.IV) [cn-pdf, pdf, html, other]

Title: Fast algorithms enabling optimization and deep learning for photoacoustic tomography in a circular detection geometry Show Chinese title

Title: 快速算法用于圆形检测几何中的光声断层扫描的优化和深度学习

Andreas Hauptmann, Leonid Kunyansky, Jenni Poimala

Subjects: Image and Video Processing (eess.IV) ; Artificial Intelligence (cs.AI) ; Analysis of PDEs (math.AP) ; Numerical Analysis (math.NA) ; Optimization and Control (math.OC)

[4831] arXiv:2510.24700 (cross-list from cs.LG) [cn-pdf, pdf, html, other]

Title: Greedy Sampling Is Provably Efficient for RLHF Show Chinese title

Title: 贪心采样在RLHF中被证明是高效的

Di Wu, Chengshuai Shi, Jing Yang, Cong Shen

Comments: NeurIPS 2025

Subjects: Machine Learning (cs.LG) ; Artificial Intelligence (cs.AI) ; Information Theory (cs.IT) ; Machine Learning (stat.ML)

[4832] arXiv:2510.24713 (cross-list from quant-ph) [cn-pdf, pdf, other]

Title: Distinct Types of Parent Hamiltonians for Quantum States: Insights from the $W$ State as a Quantum Many-Body Scar Show Chinese title

Title: 量子态的不同类型的母哈密顿量：从$W$态作为量子多体疤痕的见解

Lei Gioia, Sanjay Moudgalya, Olexei I. Motrunich

Comments: 24+22 pages, 6 figures

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