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Sequential attack detection in a distributed estimation system is considered, where each sensor successively produces one-bit quantized samples of a desired deterministic scalar parameter corrupted by additive noise. The unknown parameters…

信息论 · 计算机科学 2018-02-12 Jiangfan Zhang , Xiaodong Wang

In this paper, we consider the problem of detecting signals in multiple, sequentially observed data streams. For each stream, the exact distribution is unknown, but characterized by a parameter that takes values in either of two disjoint…

统计方法学 · 统计学 2025-07-30 Yiming Xing , Anamitra Chaudhuri , Yifan Chen

A generalized multisensor sequential change detection problem is considered, in which a number of (possibly correlated) sensors monitor an environment in real time, the joint distribution of their observations is determined by a global…

应用统计 · 统计学 2016-01-12 Georgios Fellouris , Grigory Sokolov

We consider the offline change point detection and localization problem in the context of piecewise stationary networks, where the observable is a finite sequence of networks. We develop algorithms involving some suitably modified CUSUM…

统计方法学 · 统计学 2020-09-07 Sharmodeep Bhattacharyya , Shirshendu Chatterjee , Soumendu Sundar Mukherjee

Optimal stopping problems consider the question of deciding when to stop an observation-generating process in order to maximize a return. We examine the problem of simultaneously learning and planning in such domains, when data is collected…

人工智能 · 计算机科学 2017-05-25 Karan Goel , Christoph Dann , Emma Brunskill

In this paper, we study a continuous-time discounted jump Markov decision process with both controlled actions and observations. The observation is only available for a discrete set of time instances. At each time of observation, one has to…

最优化与控制 · 数学 2019-07-16 Yunhan Huang , Veeraruna Kavitha , Quanyan Zhu

In this paper the asymptotic distribution of the stopping time in Page's sequential cumulative sum (CUSUM) procedure is presented. Page as well as ordinary cumulative sums are considered as detectors for changes in the mean of observations…

统计方法学 · 统计学 2013-08-07 Stefan Fremdt

A sensor network is considered where at each sensor a sequence of random variables is observed. At each time step, a processed version of the observations is transmitted from the sensors to a common node called the fusion center. At some…

统计理论 · 数学 2023-07-19 Taposh Banerjee , Venugopal V. Veeravalli

As the complexity of production processes increases, the diversity of data types drives the development of network monitoring technology. This paper mainly focuses on an online algorithm to detect serially correlated directed networks…

应用统计 · 统计学 2021-12-17 Miaomiao Yu , Yuhao Zhou , Fugee Tsung

In the binary hypothesis testing problem, it is well known that sequentiality in taking samples eradicates the trade-off between two error exponents, yet implementing the optimal test requires the knowledge of the underlying distributions,…

信息论 · 计算机科学 2025-01-07 Ching-Fang Li , I-Hsiang Wang

We consider sequential change-point detection in parallel data streams, where each stream has its own change point. Once a change is detected in a data stream, this stream is deactivated permanently. The goal is to maximize the normal…

统计理论 · 数学 2021-07-15 Yunxiao Chen , Xiaoou Li

Single fault sequential change point problems have become important in modeling for various phenomena in large distributed systems, such as sensor networks. But such systems in many situations present multiple interacting faults. For…

信息论 · 计算机科学 2015-03-17 Ram Rajagopal , XuanLong Nguyen , Sinem Coleri Ergen , Pravin Varaiya

Considering the issue of estimating small probabilities p, ie. measuring a rare domain F = {x | g(x) > q} with respect to the distribution of a random vector X, Multilevel Splitting strategies (also called Subset Simulation) aim at writing…

统计计算 · 统计学 2015-09-10 Clément Walter

In the problem of quickest change detection, a change occurs at some unknown time in the distribution of a sequence of random vectors that are monitored in real time, and the goal is to detect this change as quickly as possible subject to a…

信息论 · 计算机科学 2023-10-27 Venugopal V. Veeravalli , Georgios Fellouris , George V. Moustakides

Mixed-integer optimisation problems can be computationally challenging. Here, we introduce and analyse two efficient algorithms with a specific sequential design that are aimed at dealing with sampled problems within this class. At each…

最优化与控制 · 数学 2023-03-07 Mohammadreza Chamanbaz , Roland Bouffanais

In the multiple changepoint setting, various search methods have been proposed which involve optimising either a constrained or penalised cost function over possible numbers and locations of changepoints using dynamic programming. Such…

统计计算 · 统计学 2014-12-12 Kaylea Haynes , Idris A. Eckley , Paul Fearnhead

Detecting change points sequentially in a streaming setting, especially when both the mean and the variance of the signal can change, is often a challenging task. A key difficulty in this context often involves setting an appropriate…

统计方法学 · 统计学 2022-11-01 Nauman Ahad , Mark A. Davenport , Yao Xie

The problem of quickest change detection in a sequence of independent observations is considered. The pre-change distribution is assumed to be known, while the post-change distribution is completely unknown. A window-limited leave-one-out…

信号处理 · 电气工程与系统科学 2022-11-07 Yuchen Liang , Venugopal V. Veeravalli

This paper studies the sample complexity of searching over multiple populations. We consider a large number of populations, each corresponding to either distribution P0 or P1. The goal of the search problem studied here is to find one…

信息论 · 计算机科学 2016-11-17 Matthew L. Malloy , Gongguo Tang , Robert D. Nowak

Compressed sensing allows perfect recovery of sparse signals (or signals sparse in some basis) using only a small number of random measurements. Existing results in compressed sensing literature have focused on characterizing the achievable…

信息论 · 计算机科学 2015-05-18 Dmitry Malioutov , Sujay Sanghavi , Alan Willsky