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The problem of sequentially detecting a moving anomaly which affects different parts of a sensor network with time is studied. Each network sensor is characterized by a non-anomalous and anomalous distribution, governing the generation of…

统计理论 · 数学 2020-07-30 Georgios Rovatsos , George V. Moustakides , Venugopal V. Veeravalli

This paper proposes a novel approach for detecting the topology of distribution networks based on the analysis of time series measurements. The time-based analysis approach draws on data from high-precision phasor measurement units (PMUs or…

系统与控制 · 计算机科学 2015-04-23 Guido Cavraro , Reza Arghandeh , Alexandra von Meier

Optimal control in non-stationary Markov decision processes (MDP) is a challenging problem. The aim in such a control problem is to maximize the long-term discounted reward when the transition dynamics or the reward function can change over…

应用统计 · 统计学 2017-03-03 Taposh Banerjee , Miao Liu , Jonathan P. How

We study decision timing problems on finite horizon with Poissonian information arrivals. In our model, a decision maker wishes to optimally time her action in order to maximize her expected reward. The reward depends on an unobservable…

最优化与控制 · 数学 2012-05-07 Michael Ludkovski , Semih Sezer

We study finite horizon optimal switching problems for hidden Markov chain models under partially observable Poisson processes. The controller possesses a finite range of strategies and attempts to track the state of the unobserved state…

最优化与控制 · 数学 2008-05-22 Erhan Bayraktar , Mike Ludkovski

A change points detection aims to catch an abrupt disorder in data distribution. Common approaches assume that there are only two fixed distributions for data: one before and another after a change point. Real-world data are richer than…

机器学习 · 计算机科学 2022-04-18 Alexander Stepikin , Evgenia Romanenkova , Alexey Zaytsev

This paper considers the constrained sampling multi-stream quickest change detection problem, also known as the bandit quickest change detection problem. One stream contains a change-point that shifts its mean by an unknown amount. The goal…

系统与控制 · 电气工程与系统科学 2026-03-30 Joshua Kartzman , Calvin Hawkins , Matthew Hale

This paper investigates change point detection in state space models, in which the pre-change distribution $f^{\theta_0}$ is given, while the poster distribution $f^{\theta}$ after change is unknown. The problem is to raise an alarm as soon…

概率论 · 数学 2019-06-11 Cheng-Der Fuh

Methods in the field of quickest change detection rapidly detect in real-time a change in the data-generating distribution of an online data stream. Existing methods have been able to detect this change point when the densities of the pre-…

统计方法学 · 统计学 2025-07-09 Sean Moushegian , Suya Wu , Enmao Diao , Jie Ding , Taposh Banerjee , Vahid Tarokh

The aim of change-point detection is to identify behavioral shifts within time series data. This article focuses on scenarios where the data is derived from an inhomogeneous Poisson process or a marked Poisson process. We present a…

统计方法学 · 统计学 2024-11-07 C. Dion-Blanc , D. Hawat , E. Lebarbier , S. Robin

We generalize the classic change-point problem to a "change-set" framework: a spatial Poisson process changes its intensity on an unobservable random set. Optimal detection of the set is defined by maximizing the expected value of a gain…

概率论 · 数学 2010-09-30 B. Gail Ivanoff , Ely Merzbach

In this paper we introduce a novel particle filter scheme for a class of partially-observed multivariate diffusions. %continuous-time dynamic models where the %signal is given by a multivariate diffusion process. We consider a variety of…

统计方法学 · 统计学 2007-10-24 Paul Fearnhead , Omiros Papaspiliopoulos , Gareth Roberts

The problem of online change point detection is to detect abrupt changes in properties of time series, ideally as soon as possible after those changes occur. Existing work on online change point detection either assumes i.i.d data, focuses…

机器学习 · 计算机科学 2023-12-01 Lei Xin , George Chiu , Shreyas Sundaram

The problem of detecting the presence of a signal that can lead to a disaster is studied. A decision-maker collects data sequentially over time. At some point in time, called the change point, the distribution of data changes. This change…

信号处理 · 电气工程与系统科学 2023-03-07 Tim Brucks , Taposh Banerjee , Rahul Mishra

We register a stochastic sequence affected by one disorder. Monitoring of the sequence is made in the circumstances when not full information about distributions before and after the change is available. The initial problem of disorder…

概率论 · 数学 2020-11-17 Wojciech Sarnowski , Krzysztof Szajowski

The problem of quickest detection of a change in the mean of a sequence of independent observations is studied. The pre-change distribution is assumed to be stationary, while the post-change distributions are allowed to be non-stationary.…

信号处理 · 电气工程与系统科学 2021-08-26 Yuchen Liang , Venugopal V. Veeravalli

We study detection of random signals corrupted by noise that over time switch their values (states) from a finite set of possible values, where the switchings occur at unknown points in time. We model such signals by means of a random…

信息论 · 计算机科学 2017-12-27 Dragana Bajović , Kanghang He , Lina Stanković , Dejan Vukobratović , Vladimir Stanković

We study the problem of quickest detection of a change in the mean of an observation sequence, under the assumption that both the pre- and post-change distributions have bounded support. We first study the case where the pre-change…

信号处理 · 电气工程与系统科学 2021-01-15 Yuchen Liang , Venugopal V. Veeravalli

The problem of detection time distribution concerns a quantum particle surrounded by detectors and consists of computing the probability distribution of where and when the particle will be detected. While the correct answer can be obtained…

量子物理 · 物理学 2016-01-19 Roderich Tumulka

We consider a popular online change-point problem of detecting a transient change in distributions of i.i.d. random variables. For this change-point problem, several change-point procedures are formulated and some advanced results for a…

统计理论 · 数学 2021-04-08 Jack Noonan