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This paper addresses the problem of distributed resilient state estimation and control for linear time-invariant systems in the presence of malicious false data injection sensor attacks and bounded noise. We consider a system operator…

Systems and Control · Electrical Eng. & Systems 2025-07-17 Takumi Shinohara , Karl H. Johansson , Henrik Sandberg

Distributed statistical inference has recently attracted enormous attention. Many existing work focuses on the averaging estimator. We propose a one-step approach to enhance a simple-averaging based distributed estimator. We derive the…

Methodology · Statistics 2015-11-11 Cheng Huang , Xiaoming Huo

When the data are stored in a distributed manner, direct application of traditional statistical inference procedures is often prohibitive due to communication cost and privacy concerns. This paper develops and investigates two…

Machine Learning · Statistics 2021-08-04 Jianqing Fan , Yongyi Guo , Kaizheng Wang

We consider statistical inference for a finite-dimensional parameter in a regular semiparametric model under a distributed setting with blockwise missingness, where entire blocks of variables are unavailable at certain sites and sharing…

Methodology · Statistics 2025-08-26 Jingyue Huang , Huiyuan Wang , Yuqing Lei , Yong Chen

While model selection is a well-studied topic in parametric and nonparametric regression or density estimation, selection of possibly high-dimensional nuisance parameters in semiparametric problems is far less developed. In this paper, we…

Methodology · Statistics 2023-09-06 Yifan Cui , Eric Tchetgen Tchetgen

This paper studies the event-triggered distributed fusion estimation problems for a class of nonlinear networked multisensor fusion systems without noise statistical characteristics. When considering the limited resource problems of two…

Systems and Control · Electrical Eng. & Systems 2022-08-04 Rusheng Wang , Bo Chen , Zhongyao Hu , Li Yu

We study the problem of estimating an unknown parameter in a distributed and online manner. Existing work on distributed online learning typically either focuses on asymptotic analysis, or provides bounds on regret. However, these results…

Systems and Control · Electrical Eng. & Systems 2022-09-15 Lei Xin , George Chiu , Shreyas Sundaram

We consider the problem of estimating the unconditional distribution of a post-model-selection estimator. The notion of a post-model-selection estimator here refers to the combined procedure resulting from first selecting a model (e.g., by…

Statistics Theory · Mathematics 2007-11-08 Hannes Leeb , Benedikt M. Poetscher

With data sizes constantly expanding, and with classical machine learning algorithms that analyze such data requiring larger and larger amounts of computation time and storage space, the need to distribute computation and memory…

Machine Learning · Computer Science 2015-12-08 Aruna Govada , Shree Ranjani , Aditi Viswanathan , S. K. Sahay

We propose nonparametric identification and semiparametric estimation of joint potential outcome distributions in the presence of confounding. First, in settings with observed confounding, we derive tighter, covariate-informed bounds on the…

Methodology · Statistics 2026-02-19 Jianle Sun , Kun Zhang

The complexity of semiparametric models poses new challenges to statistical inference and model selection that frequently arise from real applications. In this work, we propose new estimation and variable selection procedures for the…

Statistics Theory · Mathematics 2011-03-09 Bo Kai , Runze Li , Hui Zou

This paper studies the problem of estimation from relative measurements in a graph, in which a vector indexed over the nodes has to be reconstructed from pairwise measurements of differences between its components associated to nodes…

Systems and Control · Computer Science 2018-07-27 Chiara Ravazzi , Nelson P. K. Chan , Paolo Frasca

The explosion of large-scale data in fields such as finance, e-commerce, and social media has outstripped the processing capabilities of single-machine systems, driving the need for distributed statistical inference methods. Traditional…

Machine Learning · Statistics 2024-09-02 Jingguo Lan , Hongmei Lin , Xueqin Wang

This paper proposes consistent estimators for transformation parameters in semiparametric models. The problem is to find the optimal transformation into the space of models with a predetermined regression structure like additive or…

Statistics Theory · Mathematics 2008-12-18 Oliver Linton , Stefan Sperlich , Ingrid Van Keilegom

We consider a network of sensors deployed to sense a spatio-temporal field and estimate a parameter of interest. We are interested in the case where the temporal process sensed by each sensor can be modeled as a state-space process that is…

Distributed, Parallel, and Cluster Computing · Computer Science 2008-04-12 S. Sundhar Ram , V. V. Veeravalli , A. Nedic

Distributed algorithms and theories are called for in this era of big data. Under weaker local signal-to-noise ratios, we improve upon the celebrated one-round distributed principal component analysis (PCA) algorithm designed in the spirit…

Methodology · Statistics 2025-07-01 ZeYu Li , Xinsheng Zhang , Wang Zhou

Motivated by multi-center biomedical studies that cannot share individual data due to privacy and ownership concerns, we develop communication-efficient iterative distributed algorithms for estimation and inference in the high-dimensional…

Methodology · Statistics 2024-06-25 Pierre Bayle , Jianqing Fan , Zhipeng Lou

The paper studies distributed static parameter (vector) estimation in sensor networks with nonlinear observation models and noisy inter-sensor communication. It introduces \emph{separably estimable} observation models that generalize the…

Multiagent Systems · Computer Science 2012-05-21 Soummya Kar , Jose M. F. Moura , Kavita Ramanan

Diffusion models achieve state-of-the-art performance in various generation tasks. However, their theoretical foundations fall far behind. This paper studies score approximation, estimation, and distribution recovery of diffusion models,…

Machine Learning · Computer Science 2023-02-15 Minshuo Chen , Kaixuan Huang , Tuo Zhao , Mengdi Wang

We propose a general method for distributed Bayesian model choice, using the marginal likelihood, where a data set is split in non-overlapping subsets. These subsets are only accessed locally by individual workers and no data is shared…

Computation · Statistics 2022-10-18 Alexander Buchholz , Daniel Ahfock , Sylvia Richardson