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This paper investigates sequential change-point detection in reconfigurable sensor networks. In this problem, data from multiple sensors are observed sequentially. Each sensor can have a unique change point, and the data distribution…

Methodology · Statistics 2025-04-10 Seungwon Lee , Yunxiao Chen , Xiaoou Li

Universal compression algorithms have been studied in the past for sequential change detection, where they have been used to estimate the post-change distribution in the modified version of the Cumulative Sum (CUSUM) Test. In this paper, we…

Information Theory · Computer Science 2021-12-15 Vikrant Malik , R. K. Bansal

Detecting change-points in data is challenging because of the range of possible types of change and types of behaviour of data when there is no change. Statistically efficient methods for detecting a change will depend on both of these…

Machine Learning · Statistics 2024-08-29 Jie Li , Paul Fearnhead , Piotr Fryzlewicz , Tengyao Wang

We present a novel scheme to boost detection power for kernel maximum mean discrepancy based sequential change-point detection procedures. Our proposed scheme features an optimal sub-sampling of the history data before the detection…

Methodology · Statistics 2023-01-19 Song Wei , Chaofan Huang

We investigate the problem of covert quickest change detection in a Bayesian and infinite-horizon setting. A legitimate entity seeks to detect a change in the state of a discrete memoryless channel as quickly as possible by actively probing…

Information Theory · Computer Science 2026-05-18 Yun-Feng Lo , Matthieu R. Bloch

The knowledge of channel covariance matrices is of paramount importance to the estimation of instantaneous channels and the design of beamforming vectors in multi-antenna systems. In practice, an abrupt change in channel covariance matrices…

Signal Processing · Electrical Eng. & Systems 2021-09-10 Runnan Liu , Liang Liu , Dazhi He , Wenjun Zhang , Erik G. Larsson

This paper addresses the challenge of accurately detecting the transition from the warmup phase to the steady state in performance metric time series, which is a critical step for effective benchmarking. The goal is to introduce a method…

Performance · Computer Science 2025-11-17 Martin Beseda , Vittorio Cortellessa , Daniele Di Pompeo , Luca Traini , Michele Tucci

We consider a change-point detection problem for a simple class of Piecewise Deterministic Markov Processes (PDMPs). A continuous-time PDMP is observed in discrete time and through noise, and the aim is to propose a numerical method to…

Optimization and Control · Mathematics 2017-09-28 Alice Cleynen , Benoîte de Saporta

The problem of detecting a sinusoidal signal with randomly varying frequency has a long history. It is one of the core problems in signal processing, arising in many applications including, for example, underwater acoustic frequency line…

Signal Processing · Electrical Eng. & Systems 2022-11-16 Changrong Liu , S. Suvorova , R. J. Evans , B. Moran , A. Melatos

There are many research works and methods about change point detection in the literature. However, there are only a few that provide inference for such change points after being estimated. This work mainly focuses on a statistical analysis…

Methodology · Statistics 2021-08-02 Reza Valiollahi Mehrizi , Shojaeddin Chenouri

In this work, we consider an online robust Markov Decision Process (MDP) where we have the information of finitely many prototypes of the underlying transition kernel. We consider an adaptively updated ambiguity set of the prototypes and…

Machine Learning · Computer Science 2024-12-20 Shuo Sun , Meng Qi , Zuo-Jun Max Shen

A finite-horizon variant of the quickest change detection problem is investigated, which is motivated by a change detection problem that arises in piecewise stationary bandits. The goal is to minimize the \emph{latency}, which is smallest…

Information Theory · Computer Science 2025-06-19 Yu-Han Huang , Venugopal V. Veeravalli

When implementing Markov Chain Monte Carlo (MCMC) algorithms, perturbation caused by numerical errors is sometimes inevitable. This paper studies how perturbation of MCMC affects the convergence speed and Monte Carlo estimation accuracy.…

Computation · Statistics 2026-01-14 Tiangang Cui , Jing Dong , Ajay Jasra , Xin T. Tong

This paper introduces a new approach for estimating core inflation indicators based on common factors across a broad range of price indices. Specifically, by utilizing procedures for detecting multiple regimes in high-dimensional factor…

General Economics · Economics 2024-11-21 Gabriel Rodriguez-Rondon

Change-point detection methods are proposed for the case of temporary failures, or transient changes, when an unexpected disorder is ultimately followed by a readjustment and return to the initial state. A base distribution of the…

Statistics Theory · Mathematics 2021-12-14 Baron Michael , Malov Sergey

We propose a distributed Bayesian quickest change detection algorithm for sensor networks, based on a random gossip inter-sensor communication structure. Without a control or fusion center, each sensor executes its local change detection…

Information Theory · Computer Science 2015-12-09 Di Li , Soummya Kar , Fuad E. Alsaadi , Shuguang Cui

We study the kernel estimator of the transition density of bifurcating Markov chains. Under some ergodic and regularity properties, we prove that this estimator is consistent and asymptotically normal. Next, in the numerical studies, we…

Statistics Theory · Mathematics 2023-03-28 S. Valère Bitseki Penda

The problem of sequential change diagnosis is considered, where a sequence of independent random elements is accessed sequentially, there is an abrupt change in its distribution at some unknown time, and there are two main operational…

Statistics Theory · Mathematics 2023-10-03 Austin Warner , Georgios Fellouris

A finite horizon variant of the quickest change detection problem is studied, in which the goal is to minimize a delay threshold (latency), under constraints on the probability of false alarm and the probability that the latency is…

Data Structures and Algorithms · Computer Science 2024-09-20 Yu-Han Huang , Venugopal V. Veeravalli

The paper addresses the problem of calculating the noise-induced switching rates in systems with delay-distributed kernels and Gaussian noise. A general variational formulation for the switching rate is derived for any distribution kernel,…

Data Analysis, Statistics and Probability · Physics 2018-07-04 Y. N. Kyrychko , I. B. Schwartz
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