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We study the robust quickest change detection under unknown pre- and post-change distributions. To deal with uncertainties in the data-generating distributions, we formulate two data-driven ambiguity sets based on the Wasserstein distance,…

Statistics Theory · Mathematics 2022-04-28 Liyan Xie

This paper develops the sufficiency principle suitable for data reduction in decentralized inference systems. Both parallel and tandem networks are studied and we focus on the cases where observations at decentralized nodes are…

Information Theory · Computer Science 2012-07-16 Ge Xu , Biao Chen

Sampling-based methods, e.g., Deep Ensembles and Bayesian Neural Nets have become promising approaches to improve the quality of uncertainty estimation and robust generalization. However, they suffer from a large model size and high latency…

Machine Learning · Computer Science 2024-05-29 Ha Manh Bui , Anqi Liu

Deep learning models for image classification are typically trained under the "closed-world" assumption with a predefined set of image classes. However, when the models are deployed they may be faced with input images not belonging to the…

Computer Vision and Pattern Recognition · Computer Science 2023-03-30 Dajana Dimitrić , Mitar Simić , Vladimir Risojević

Learning a robust classifier from a few samples remains a key challenge in machine learning. A major thrust of research has been focused on developing $k$-nearest neighbor ($k$-NN) based algorithms combined with metric learning that…

Machine Learning · Statistics 2022-02-17 Shixiang Zhu , Liyan Xie , Minghe Zhang , Rui Gao , Yao Xie

We investigate minimax testing for detecting local signals or linear combinations of such signals when only indirect data is available. Naturally, in the presence of noise, signals that are too small cannot be reliably detected. In a…

Statistics Theory · Mathematics 2023-02-21 Markus Pohlmann , Frank Werner , Axel Munk

In this paper it is established that any jointly controllable, jointly observable, multi-channel, discrete or continuous time linear system with a strongly connected neighbor (communication) graph can be exponentially stabilized with any…

Systems and Control · Electrical Eng. & Systems 2022-12-02 Fengjiao Liu , Lili Wang , Daniel Fullmer , A. Stephen Morse

The problem of quickest growing dynamic anomaly detection in sensor networks is studied. Initially, the observations at the sensors, which are sampled sequentially by the decision maker, are generated according to a pre-change distribution.…

Statistics Theory · Mathematics 2020-02-04 Georgios Rovatsos , Venugopal V. Veeravalli , Don Towsley , Ananthram Swami

The problem of detecting a wide-sense stationary Gaussian signal process embedded in white Gaussian noise, where the power spectral density of the signal process exhibits uncertainty, is investigated. The performance of minimax robust…

Information Theory · Computer Science 2010-05-03 Wenyi Zhang , H. Vincent Poor

This article is concerned with decentralized sequential testing of multiple hypotheses. In a sensor network system with limited local memory, raw observations are observed at the local sensors, and quantized into binary sensor messages that…

Statistics Theory · Mathematics 2010-04-12 Yan Wang , Yajun Mei

Despite their unprecedented performance in various domains, utilization of Deep Neural Networks (DNNs) in safety-critical environments is severely limited in the presence of even small adversarial perturbations. The present work develops a…

Machine Learning · Computer Science 2020-10-19 Fatemeh Sheikholeslami , Swayambhoo Jain , Georgios B. Giannakis

We show by large deviations theory that the performance of running consensus is asymptotically equivalent to the performance of the (asymptotically) optimal centralized detector. Running consensus is a stochastic approximation type…

Information Theory · Computer Science 2020-01-21 Dragana Bajovic , Dusan Jakovetic , Joao Xavier , Bruno Sinopoli , Jose M. F. Moura

This paper considers the problem of simultaneous sensor fault detection, isolation, and networked estimation of linear full-rank dynamical systems. The proposed networked estimation is a variant of single time-scale protocol and is based on…

Systems and Control · Electrical Eng. & Systems 2020-09-28 Mohammadreza Doostmohammadian , Nader Meskin

In this paper, we present a robust distributed model predictive control (DMPC) scheme for dynamically decoupled nonlinear systems which are subject to state constraints, coupled state constraints and input constraints. In the proposed…

Systems and Control · Electrical Eng. & Systems 2024-10-07 Adrian Wiltz , Fei Chen , Dimos V. Dimarogonas

We investigate the problem of jointly testing a pair of composite hypotheses and, depending on the test result, estimating a random parameter under distributional uncertainties. Specifically, it is assumed that the distribution of the data…

Signal Processing · Electrical Eng. & Systems 2026-04-27 Dominik Reinhard , Michael Fauß , Abdelhak M. Zoubir

Anomaly detection is a crucial task in various domains. Most of the existing methods assume the normal sample data clusters around a single central prototype while the real data may consist of multiple categories or subgroups. In addition,…

Machine Learning · Statistics 2024-12-03 Zhijin Dong , Hongzhi Liu , Boyuan Ren , Weimin Xiong , Zhonghai Wu

In this article we consider the problems of distributed detection and estimation in wireless sensor networks. In the first part, we provide a general framework aimed to show how an efficient design of a sensor network requires a joint…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-07-08 Sergio Barbarossa , Stefania Sardellitti , Paolo Di Lorenzo

With the recently rapid development in deep learning, deep neural networks have been widely adopted in many real-life applications. However, deep neural networks are also known to have very little control over its uncertainty for unseen…

Machine Learning · Computer Science 2019-04-23 Wenhu Chen , Yilin Shen , Hongxia Jin , William Wang

Recently network analysis has gained more and more attentions in statistics, as well as in computer science, probability, and applied mathematics. Community detection for the stochastic block model (SBM) is probably the most studied topic…

Statistics Theory · Mathematics 2015-11-17 Anderson Y. Zhang , Harrison H. Zhou

We study the large deviations performance of consensus+innovations distributed detection over noisy networks, where sensors at a time step k cooperate with immediate neighbors (consensus) and assimilate their new observations (innovation.)…

Information Theory · Computer Science 2015-05-30 Dusan Jakovetic , Jose M. F. Moura , Joao Xavier