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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…

信息论 · 计算机科学 2015-12-09 Di Li , Soummya Kar , Fuad E. Alsaadi , Shuguang Cui

We consider the problem of learning a conditional Gaussian graphical model in the presence of latent variables. Building on recent advances in this field, we suggest a method that decomposes the parameters of a conditional Markov random…

统计方法学 · 统计学 2017-03-07 Benjamin Frot , Luke Jostins , Gil McVean

Causal learning has long concerned itself with the accurate recovery of underlying causal mechanisms. Such causal modelling enables better explanations of out-of-distribution data. Prior works on causal learning assume that the high-level…

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

Multivariate time series may be subject to partial structural changes over certain frequency band, for instance, in neuroscience. We study the change point detection problem with high dimensional time series, within the framework of…

统计方法学 · 统计学 2024-05-31 Xinyu Zhang , Kung-Sik Chan

Markov chains are simple yet powerful mathematical structures to model temporally dependent processes. They generally assume stationary data, i.e., fixed transition probabilities between observations/states. However, live, real-world…

机器学习 · 计算机科学 2024-11-27 Kutalmış Coşkun , Borahan Tümer , Bjarne C. Hiller , Martin Becker

The design of reliable indicators to anticipate critical transitions in complex systems is an im portant task in order to detect a coming sudden regime shift and to take action in order to either prevent it or mitigate its consequences. We…

数据分析、统计与概率 · 物理学 2022-12-14 Martin Heßler , Oliver Kamps

We consider the problem of detecting anomalies among a given set of processes using their noisy binary sensor measurements. The noiseless sensor measurement corresponding to a normal process is 0, and the measurement is 1 if the process is…

信号处理 · 电气工程与系统科学 2020-06-02 Geethu Joseph , M. Cenk Gursoy , Pramod K. Varshney

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

This paper addresses the problem of detecting changes when only unnormalized pre- and post-change distributions are accessible. This situation happens in many scenarios in physics such as in ferromagnetism, crystallography,…

机器学习 · 统计学 2025-02-12 Arman Adibi , Sanjeev Kulkarni , H. Vincent Poor , Taposh Banerjee , Vahid Tarokh

In this paper, we propose a new generic method for detecting the number and locations of structural breaks or change points in piecewise linear models under stationary Gaussian noise. Our method transforms the change point detection problem…

统计方法学 · 统计学 2026-01-14 Zhibing He , Dan Cheng , Yunpeng Zhao

We consider the problem of efficiently performing simulation and inference for stochastic kinetic models. Whilst it is possible to work directly with the resulting Markov jump process, computational cost can be prohibitive for networks of…

统计计算 · 统计学 2015-06-18 Chris Sherlock , Andrew Golightly , Colin Gillespie

In this paper we develop a statistical estimation technique to recover the transition kernel $P$ of a Markov chain $X=(X_m)_{m \in \mathbb N}$ in presence of censored data. We consider the situation where only a sub-sequence of $X$ is…

统计理论 · 数学 2014-05-05 Flavia Barsotti , Yohann De Castro , Thibault Espinasse , Paul Rochet

We provide a criterion for establishing lower bounds on the rate of convergence in $f$-variation of a continuous-time ergodic Markov process to its invariant measure. The criterion consists of novel super- and submartingale conditions for…

概率论 · 数学 2024-04-16 Miha Brešar , Aleksandar Mijatović

We consider offline detection of a single changepoint in binary and count time-series. We compare exact tests based on the cumulative sum (CUSUM) and the likelihood ratio (LR) statistics, and a new proposal that combines exact two-sample…

统计方法学 · 统计学 2020-08-21 Shyamal K. De , Soumendu Sundar Mukherjee

This paper addresses the problem of quickest change detection (QCD) at two spatially separated locations monitored by a single unmanned aerial vehicle (UAV) equipped with a sensor. At any location, the UAV observes i.i.d. data sequentially…

信号处理 · 电气工程与系统科学 2025-04-11 Saqib Abbas , Anurag Kumar , Arpan Chattopadhyay

Change-point detection, detecting an abrupt change in the data distribution from sequential data, is a fundamental problem in statistics and machine learning. CUSUM is a popular statistical method for online change-point detection due to…

机器学习 · 计算机科学 2024-03-12 Tingnan Gong , Junghwan Lee , Xiuyuan Cheng , Yao Xie

Many industrial and security applications employ a suite of sensors for detecting abrupt changes in temporal behavior patterns. These abrupt changes typically manifest locally, rendering only a small subset of sensors informative.…

机器学习 · 计算机科学 2023-06-14 Aditya Gopalan , Venkatesh Saligrama , Braghadeesh Lakshminarayanan

Consider a large number of detectors each generating a data stream. The task is to detect online, distribution changes in a small fraction of the data streams. Previous approaches to this problem include the use of mixture likelihood ratios…

统计理论 · 数学 2016-01-20 Hock Peng Chan

Experiments, in particular on biological systems, typically probe lower-dimensional observables which are projections of high-dimensional dynamics. In order to infer consistent models capturing the relevant dynamics of the system, it is…

统计力学 · 物理学 2025-11-18 Xizhu Zhao , Dmitrii E. Makarov , Aljaž Godec