Statistics Theory

Authors and titles for November 2025

[1] arXiv:2511.00142 (cross-list from math.ST) [cn-pdf, pdf, html, other]

Title: On Kernels and Covariance Structures in Hilbert Space Gaussian Processes Show Chinese title

Title: 关于希尔伯特空间高斯过程中的核函数和协方差结构

Saeed Hashemi Sababe

Comments: 19 pages

Subjects: Statistics Theory (math.ST) ; Functional Analysis (math.FA) ; Probability (math.PR)

[2] arXiv:2511.00518 (cross-list from math.ST) [cn-pdf, pdf, html, other]

Title: An LRD spectral test for irregularly discretely observed contaminated functional time series in manifolds Show Chinese title

Title: 一种用于流形中不规则离散观测的污染函数时间序列的LRD谱检验

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

Subjects: Statistics Theory (math.ST)

[3] arXiv:2511.00791 (cross-list from math.ST) [cn-pdf, pdf, html, other]

Title: Stochastic comparisons of finite mixtures with general exponentiated location-scale distributed components Show Chinese title

Title: 有限混合模型中一般指数化位置尺度分布组件的随机比较

Raju Bhakta, Kaushik Gupta, Ghobad Saadat Kia (Barmalzan), Suchandan Kayal

Comments: 29 pages, 16 figures

Subjects: Statistics Theory (math.ST)

[4] arXiv:2511.00938 (cross-list from math.ST) [cn-pdf, pdf, html, other]

Title: Persistence-Based Statistics for Detecting Structural Changes in High-Dimensional Point Clouds Show Chinese title

Title: 基于持久性的统计方法用于检测高维点云中的结构变化

Toshiyuki Nakayama

Comments: 42 pages, 3 figures, under review

Subjects: Statistics Theory (math.ST) ; Algebraic Topology (math.AT) ; Probability (math.PR)

[5] arXiv:2511.00990 (cross-list from math.ST) [cn-pdf, pdf, html, other]

Title: Filtering of periodically correlated processes Show Chinese title

Title: 周期相关过程的滤波

Iryna Dubovets'ka, Mykhailo Moklyachuk

Subjects: Statistics Theory (math.ST)

[6] arXiv:2511.01081 (cross-list from math.ST) [cn-pdf, pdf, other]

Title: Study of power series distributions with specified covariances Show Chinese title

Title: 幂级数分布与指定协方差的研究

Oleksandr Volkov, Yurii Volkov, Nataliia Voinalovych

Comments: 8 pages

Subjects: Statistics Theory (math.ST)

[7] arXiv:2511.01103 (cross-list from math.ST) [cn-pdf, pdf, html, other]

Title: Nonparametric Least squares estimators for interval censoring Show Chinese title

Title: 非参数最小二乘估计量用于区间删失

Piet Groeneboom

Comments: 18 pages, 6 figures

Subjects: Statistics Theory (math.ST)

[8] arXiv:2511.01153 (cross-list from math.ST) [cn-pdf, pdf, html, other]

Title: Consistent estimation in subcritical birth-and-death processes Show Chinese title

Title: 次临界出生死亡过程中的一致估计

Sophie Hautphenne, Emma Horton

Subjects: Statistics Theory (math.ST) ; Probability (math.PR)

[9] arXiv:2511.01659 (cross-list from math.ST) [cn-pdf, pdf, html, other]

Title: Theoretical analysis of phase-rectified signal averaging (PRSA) algorithm Show Chinese title

Title: 相位整流信号平均（PRSA）算法的理论分析

Jiro Akahori, Joseph Najnudel, Hau-Tieng Wu, Ju-Yi Yen

Subjects: Statistics Theory (math.ST)

[10] arXiv:2511.01662 (cross-list from math.ST) [cn-pdf, pdf, html, other]

Title: Selecting valid adjustment sets with uncertain causal graphs Show Chinese title

Title: 使用不确定的因果图选择有效的调整集

Zhongyi Hu, Stéphanie van der Pas

Subjects: Statistics Theory (math.ST)

[11] arXiv:2511.01933 (cross-list from math.ST) [cn-pdf, pdf, html, other]

Title: Extrapolation Problem for Continuous Time Periodically Correlated Isotropic Random Fields Show Chinese title

Title: 连续时间周期相关各向同性随机场的外推问题

Iryna Golichenko, Oleksandr Masyutka, Mykhailo Moklyachuk

Subjects: Statistics Theory (math.ST)

[12] arXiv:2511.02187 (cross-list from math.ST) [cn-pdf, pdf, html, other]

Title: Super doubly robust and efficient estimator for informative covariate censoring Show Chinese title

Title: 超级双重稳健且高效估计量用于信息性协变量删失

Zhewei Zhang, Yanyuan Ma, Karen Marder, Tanya P. Garcia

Subjects: Statistics Theory (math.ST)

[13] arXiv:2511.02401 (cross-list from math.ST) [cn-pdf, pdf, other]

Title: Generalization in Representation Models via Random Matrix Theory: Application to Recurrent Networks Show Chinese title

Title: 通过随机矩阵理论在表示模型中的推广：应用于循环网络

Yessin Moakher (X), Malik Tiomoko, Cosme Louart (CUHK-Shenzhen), Zhenyu Liao (HUST)

Subjects: Statistics Theory (math.ST)

[14] arXiv:2511.02419 (cross-list from math.ST) [cn-pdf, pdf, other]

Title: Wasserstein Convergence of Critically Damped Langevin Diffusions Show Chinese title

Title: Wasserstein 收敛的临界阻尼朗之万扩散

Stanislas Strasman (SU, LPSM (UMR\_8001)), Sobihan Surendran (SU, LPSM (UMR\_8001)), Claire Boyer (LMO, IUF), Sylvain Le Corff (LPSM (UMR\_8001), SU), Vincent Lemaire (LPSM (UMR\_8001), SU), Antonio Ocello (ENSAE)

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

[15] arXiv:2511.02422 (cross-list from math.ST) [cn-pdf, pdf, other]

Title: Cluster Size Matters: A Comparative Study of Notip and pARI for Post Hoc Inference in fMRI Show Chinese title

Title: 聚类大小很重要：对fMRI后验推断中Notip和pARI的比较研究

Nils Peyrouset (ENSAE), Pierre Neuvial (IMT), Bertrand Thirion (PARIETAL)

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

[16] arXiv:2511.02456 (cross-list from math.ST) [cn-pdf, pdf, html, other]

Title: On Convergence Rates of Spiked Eigenvalue Estimates: A General Study of Global and Local Laws in Sample Covariance Matrices Show Chinese title

Title: 关于尖峰特征值估计的收敛速率：样本协方差矩阵中全局和局部定律的一般研究

Bing-Yi Jing, Weiming Li, Jiahui Xie, Yangchun Zhang, Wang Zhou

Subjects: Statistics Theory (math.ST)

[17] arXiv:2511.02660 (cross-list from math.ST) [cn-pdf, pdf, html, other]

Title: Spectral analysis of high-dimensional spot volatility matrix with applications Show Chinese title

Title: 高维点波动率矩阵的谱分析及其应用

Qiang Liu, Yiming Liu, Zhi Liu, Wang Zhou

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

[18] arXiv:2511.02680 (cross-list from math.ST) [cn-pdf, pdf, html, other]

Title: On the Convergence of the Extended Kalman Filter on Stiefel Manifolds when Observing a Constant Particle with Measurement Errors Show Chinese title

Title: 在观测具有测量误差的常数粒子时扩展卡尔曼滤波在Stiefel流形上的收敛性

Jordi-Lluís Figueras, Aron Persson, Lauri Viitasaari

Subjects: Statistics Theory (math.ST) ; Differential Geometry (math.DG) ; Applications (stat.AP)

[19] arXiv:2511.02873 (cross-list from math.ST) [cn-pdf, pdf, html, other]

Title: Curvature of high-dimensional data Show Chinese title

Title: 高维数据的曲率

Jiayi Chen, Mohammad Javad Latifi Jebelli, Daniel N. Rockmore

Subjects: Statistics Theory (math.ST)

[20] arXiv:2511.03193 (cross-list from math.ST) [cn-pdf, pdf, other]

Title: Statistical Properties of Rectified Flow Show Chinese title

Title: 修正流的统计特性

Gonzalo Mena, Arun Kumar Kuchibhotla, Larry Wasserman

Comments: 160 pages, 7 figures

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

[21] arXiv:2511.03535 (cross-list from math.ST) [cn-pdf, pdf, html, other]

Title: Asymptotics of the maximum likelihood estimator of the location parameter of Pearson Type VII distribution Show Chinese title

Title: 位置参数的Pearson类型VII分布的最大似然估计量的渐近性

Kazuki Okamura

Comments: 26 pages

Subjects: Statistics Theory (math.ST)

[22] arXiv:2511.03554 (cross-list from math.ST) [cn-pdf, pdf, other]

Title: The Structure of Cross-Validation Error: Stability, Covariance, and Minimax Limits Show Chinese title

Title: 交叉验证误差的结构：稳定性、协方差和最小最大极限

Ido Nachum, Rüdiger Urbanke, Thomas Weinberger

Comments: 59 pages

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

[23] arXiv:2511.03708 (cross-list from math.ST) [cn-pdf, pdf, html, other]

Title: The Adaptivity Barrier in Batched Nonparametric Bandits: Sharp Characterization of the Price of Unknown Margin Show Chinese title

Title: 批量非参数老虎机中的自适应性障碍：未知边缘价格的精确表征

Rong Jiang, Cong Ma

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

[24] arXiv:2511.03951 (cross-list from math.ST) [cn-pdf, pdf, html, other]

Title: The Behrens--Fisher problem revisited Show Chinese title

Title: 重新审视Behrens--Fisher问题

Nagananda K G, Jong Sung Kim

Comments: 24 pages

Subjects: Statistics Theory (math.ST)

[25] arXiv:2511.04058 (cross-list from math.ST) [cn-pdf, pdf, html, other]

Title: Finding Planted Cycles in a Random Graph Show Chinese title

Title: 在随机图中寻找植入的环

Julia Gaudio, Colin Sandon, Jiaming Xu, Dana Yang

Subjects: Statistics Theory (math.ST) ; Probability (math.PR)

[26] arXiv:2511.04060 (cross-list from math.ST) [cn-pdf, pdf, html, other]

Title: A Generalized Back-Door Criterion for Linear Regression Show Chinese title

Title: 一种广义的后门准则用于线性回归

Masato Shimokawa

Comments: 22 pges, 4 figures

Subjects: Statistics Theory (math.ST)

[27] arXiv:2511.04206 (cross-list from math.ST) [cn-pdf, pdf, other]

Title: Goodness-of-fit testing of the distribution of posterior classification probabilities for validating model-based clustering Show Chinese title

Title: 基于后验分类概率分布的拟合优度检验用于验证模型聚类

Salima El Kolei (CREST), Matthieu Marbac (LMBA)

Subjects: Statistics Theory (math.ST)

[28] arXiv:2511.04226 (cross-list from math.ST) [cn-pdf, pdf, html, other]

Title: Rates of Convergence of Maximum Smoothed Log-Likelihood Estimators for Semi-Parametric Multivariate Mixtures Show Chinese title

Title: 半参数多变量混合模型最大平滑对数似然估计量的收敛速率

Marie Du Roy de Chaumaray, Michael Levine, Matthieu Marbac

Subjects: Statistics Theory (math.ST)

[29] arXiv:2511.04425 (cross-list from math.ST) [cn-pdf, pdf, html, other]

Title: An Approximate Bayesian Approach to Optimal Input Signal Design for System Identification Show Chinese title

Title: 一种近似贝叶斯方法在系统辨识中的最优输入信号设计

Piotr Bania, Anna Wójcik

Comments: 34 pages, 10 figures, GitHub code avaliable

Journal-ref: This is an extended and corrected version of the article already published in Entropy (MDPI), 2025, 27(10), 1041; https://www.mdpi.com/1099-4300/27/10/1041

Subjects: Statistics Theory (math.ST)

[30] arXiv:2511.04562 (cross-list from math.ST) [cn-pdf, pdf, html, other]

Title: Asymptotics for Reinforced Stochastic Processes on Hierarchical Networks Show Chinese title

Title: 分层网络上增强随机过程的渐近性

Li Yang, Dandan Jiang, Jiang Hu, Zhidong Bai

Subjects: Statistics Theory (math.ST)

[31] arXiv:2511.04612 (cross-list from math.ST) [cn-pdf, pdf, other]

Title: Asymptotics of constrained $M$-estimation under convexity Show Chinese title

Title: 约束凸性下的$M$估计渐近行为

Victor-Emmanuel Brunel

Subjects: Statistics Theory (math.ST)

[32] arXiv:2511.00175 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: Concentration inequalities for strong laws and laws of the iterated logarithm Show Chinese title

Title: 强极限定律和迭代对数定律的集中不等式

Johannes Ruf, Ian Waudby-Smith

Comments: 22 pages

Subjects: Probability (math.PR) ; Statistics Theory (math.ST)

[33] arXiv:2511.00324 (cross-list from econ.EM) [cn-pdf, pdf, html, other]

Title: Residual Balancing for Non-Linear Outcome Models in High Dimensions Show Chinese title

Title: 高维非线性结果模型的残差平衡

Isaac Meza

Subjects: Econometrics (econ.EM) ; Statistics Theory (math.ST)

[34] arXiv:2511.00820 (cross-list from stat.ME) [cn-pdf, pdf, html, other]

Title: Correcting the Coverage Bias of Quantile Regression Show Chinese title

Title: 修正分位数回归的覆盖率偏差

Isaac Gibbs, John J. Cherian, Emmanuel J. Candès

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

[35] arXiv:2511.01028 (cross-list from quant-ph) [cn-pdf, pdf, html, other]

Title: Pseudo quantum advantages in perceptron storage capacity Show Chinese title

Title: 感知器存储容量中的伪量子优势

Fabio Benatti, Masoud Gharahi, Giovanni Gramegna, Stefano Mancini, Vincenzo Parisi

Comments: 23 pages, 2 figures

Subjects: Quantum Physics (quant-ph) ; Mathematical Physics (math-ph) ; Statistics Theory (math.ST)

[36] arXiv:2511.01126 (cross-list from cs.LG) [cn-pdf, pdf, other]

Title: Stochastic Regret Guarantees for Online Zeroth- and First-Order Bilevel Optimization Show Chinese title

Title: 在线零阶和一阶双层优化的随机遗憾保证

Parvin Nazari, Bojian Hou, Davoud Ataee Tarzanagh, Li Shen, George Michailidis

Comments: Published at NeurIPS 2025. 88 pages and 3 figures

Subjects: Machine Learning (cs.LG) ; Numerical Analysis (math.NA) ; Optimization and Control (math.OC) ; Statistics Theory (math.ST)

[37] arXiv:2511.01151 (cross-list from stat.ME) [cn-pdf, pdf, html, other]

Title: A structural equation formulation for general quasi-periodic Gaussian processes Show Chinese title

Title: 一般准周期高斯过程的结构方程表述

Unnati Nigam, Radhendushka Srivastava, Faezeh Marzbanrad, Michael Burke

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

[38] arXiv:2511.01154 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: Stability of the Kim--Milman flow map Show Chinese title

Title: 金-米尔曼流映射的稳定性

Sinho Chewi, Aram-Alexandre Pooladian, Matthew S. Zhang

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

[39] arXiv:2511.02053 (cross-list from stat.ML) [cn-pdf, pdf, html, other]

Title: Data-driven Learning of Interaction Laws in Multispecies Particle Systems with Gaussian Processes: Convergence Theory and Applications Show Chinese title

Title: 基于高斯过程的数据驱动多粒子系统相互作用定律学习：收敛理论与应用

Jinchao Feng, Charles Kulick, Sui Tang

Comments: 40 pages, Appendix 17 pages

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

[40] arXiv:2511.02242 (cross-list from physics.chem-ph) [cn-pdf, pdf, other]

Title: Signal attenuation and phase evolution evaluation under the influence of nonlinear gradient Show Chinese title

Title: 信号衰减和相位演化在非线性梯度影响下的评估

Chenghao Xua, Guoxing Lin

Comments: 18 pages, 3 figures

Subjects: Chemical Physics (physics.chem-ph) ; Statistics Theory (math.ST)

[41] arXiv:2511.02258 (cross-list from stat.ML) [cn-pdf, pdf, html, other]

Title: Limit Theorems for Stochastic Gradient Descent in High-Dimensional Single-Layer Networks Show Chinese title

Title: 高维单层网络中随机梯度下降的极限定理

Parsa Rangriz

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

[42] arXiv:2511.03050 (cross-list from stat.ML) [cn-pdf, pdf, other]

Title: Precise asymptotic analysis of Sobolev training for random feature models Show Chinese title

Title: Sobolev训练随机特征模型的精确渐近分析

Katharine E Fisher, Matthew TC Li, Youssef Marzouk, Timo Schorlepp

Comments: 23(+49) pages, 7(+16) figures main text(+appendix)

Subjects: Machine Learning (stat.ML) ; Disordered Systems and Neural Networks (cond-mat.dis-nn) ; Machine Learning (cs.LG) ; Probability (math.PR) ; Statistics Theory (math.ST)

[43] arXiv:2511.03087 (cross-list from stat.ME) [cn-pdf, pdf, html, other]

Title: Beyond Maximum Likelihood: Variational Inequality Estimation for Generalized Linear Models Show Chinese title

Title: 超越最大似然：广义线性模型的变分不等式估计

Linglingzhi Zhu, Jonghyeok Lee, Yao Xie

Subjects: Methodology (stat.ME) ; Optimization and Control (math.OC) ; Statistics Theory (math.ST) ; Machine Learning (stat.ML)

[44] arXiv:2511.03256 (cross-list from cs.LG) [cn-pdf, pdf, html, other]

Title: Decoupled Entropy Minimization Show Chinese title

Title: 解耦熵最小化

Jing Ma, Hanlin Li, Xiang Xiang

Comments: To appear at NeurIPS 2025 (main conference), San Diego, CA, USA. Codes available at https://github.com/HAIV-Lab/DEM/

Subjects: Machine Learning (cs.LG) ; Computer Vision and Pattern Recognition (cs.CV) ; Information Theory (cs.IT) ; Statistics Theory (math.ST) ; Machine Learning (stat.ML)

[45] arXiv:2511.03606 (cross-list from stat.ML) [cn-pdf, pdf, html, other]

Title: Vector-valued self-normalized concentration inequalities beyond sub-Gaussianity Show Chinese title

Title: 向量值自归一化浓度不等式超越次高斯性

Diego Martinez-Taboada, Tomas Gonzalez, Aaditya Ramdas

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

[46] arXiv:2511.03817 (cross-list from stat.ME) [cn-pdf, pdf, html, other]

Title: Adaptive Geometric Regression for High-Dimensional Structured Data Show Chinese title

Title: 自适应几何回归用于高维结构化数据

Pawel Gajer, Jacques Ravel

Comments: 35 pages, no figures

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

[47] arXiv:2511.03831 (cross-list from cs.LG) [cn-pdf, pdf, html, other]

Title: Higher-Order Causal Structure Learning with Additive Models Show Chinese title

Title: 基于加法模型的高阶因果结构学习

James Enouen, Yujia Zheng, Ignavier Ng, Yan Liu, Kun Zhang

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

[48] arXiv:2511.03953 (cross-list from cs.LG) [cn-pdf, pdf, html, other]

Title: Conditional Score Learning for Quickest Change Detection in Markov Transition Kernels Show Chinese title

Title: 马尔可夫转移核中最快变化检测的条件得分学习

Wuxia Chen, Taposh Banerjee, Vahid Tarokh

Subjects: Machine Learning (cs.LG) ; Signal Processing (eess.SP) ; Statistics Theory (math.ST) ; Methodology (stat.ME) ; Machine Learning (stat.ML)

[49] arXiv:2511.03967 (cross-list from eess.SP) [cn-pdf, pdf, html, other]

Title: Score-Based Quickest Change Detection and Fault Identification for Multi-Stream Signals Show Chinese title

Title: 基于得分的多流信号最快变化检测与故障识别

Wuxia Chen, Sean Moushegian, Vahid Tarokh, Taposh Banerjee

Subjects: Signal Processing (eess.SP) ; Statistics Theory (math.ST) ; Methodology (stat.ME)

[50] arXiv:2511.04011 (cross-list from eess.SP) [cn-pdf, pdf, html, other]

Title: A Survey on Noise-Based Communication Show Chinese title

Title: 基于噪声的通信综述

Higo T. P. Da Silva, Hugerles S. Silva, Felipe A. P. Figueiredo, Andre A. Dos Anjos, Rausley A. A. Souza

Subjects: Signal Processing (eess.SP) ; Statistics Theory (math.ST)