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Quickest change point detection is concerned with the detection of statistical change(s) in sequences while minimizing the detection delay subject to false alarm constraints. In this paper, the problem of change point detection is studied…

信息论 · 计算机科学 2015-06-19 George Atia

We propose a framework for determining whether the causal dependence of an outcome $Y$ on a covariate $X$ changes at a given time point, given confounders $\boldsymbol{Z}$. For instance, in financial markets, the effect of a market…

统计方法学 · 统计学 2026-05-08 Shakeel Gavioli-Akilagun , Kieran Wood , Francesco Quinzan

We present a new CUSUM procedure for sequentially detecting change-point in the self and mutual exciting processes, a.k.a. Hawkes networks using discrete events data. Hawkes networks have become a popular model for statistics and machine…

机器学习 · 统计学 2022-03-08 Haoyun Wang , Liyan Xie , Yao Xie , Alex Cuozzo , Simon Mak

The paper studies an improved estimate for the rate of convergence for nonlinear homogeneous discrete-time Markov chains. These processes are nonlinear in terms of the distribution law. Hence, the transition kernels are dependent on the…

概率论 · 数学 2021-05-21 Aleksandr Shchegolev

The discovery of causal relationships in a set of random variables is a fundamental objective of science and has also recently been argued as being an essential component towards real machine intelligence. One class of causal discovery…

机器学习 · 统计学 2024-02-01 Tim Tse , Zhitang Chen , Shengyu Zhu , Yue Liu

We address the problem of analyzing sets of noisy time-varying signals that all report on the same process but confound straightforward analyses due to complex inter-signal heterogeneities and measurement artifacts. In particular we…

The problem of quickest change detection (QCD) under transient dynamics is studied, where the change from the initial distribution to the final persistent distribution does not happen instantaneously, but after a series of transient phases.…

统计理论 · 数学 2018-12-13 Shaofeng Zou , Georgios Fellouris , Venugopal V. Veeravalli

A novel sequential change detection problem is proposed, in which the goal is to not only detect but also accelerate the change. Specifically, it is assumed that the sequentially collected observations are responses to treatments selected…

统计理论 · 数学 2024-06-24 Yanglei Song , Georgios Fellouris

A low-dimensional dynamical system is observed in an experiment as a high-dimensional signal; for example, a video of a chaotic pendulums system. Assuming that we know the dynamical model up to some unknown parameters, can we estimate the…

机器学习 · 统计学 2021-11-24 Ofir Lindenbaum , Amir Sagiv , Gal Mishne , Ronen Talmon

Detecting abrupt changes in real-time data streams from scientific simulations presents a challenging task, demanding the deployment of accurate and efficient algorithms. Identifying change points in live data stream involves continuous…

Traditional hidden Markov models have been a useful tool to understand and model stochastic dynamic data; in the case of non-Gaussian data, models such as mixture of Gaussian hidden Markov models can be used. However, these suffer from the…

机器学习 · 统计学 2023-05-16 Carlos Puerto-Santana , Concha Bielza , Pedro Larrañaga , Gustav Eje Henter

Change point detection in covariance structures is a fundamental and crucial problem for sequential data. Under the high-dimensional setting, most of the existing research has focused on identifying change points in historical data.…

统计理论 · 数学 2026-02-02 Zhigang Bao , Kha Man Cheong , Yuji Li , Jiaxin Qiu

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…

统计理论 · 数学 2023-10-03 Austin Warner , Georgios Fellouris

This paper establishes that an exactly optimal rule for Bayesian Quickest Change Detection (QCD) of Markov chains is a threshold test on the no change posterior. We also provide a computationally efficient scalar filter for the no change…

系统与控制 · 电气工程与系统科学 2023-03-27 Jason J. Ford , Justin M. Kennedy , Caitlin Tompkins , Jasmin James , Aaron McFadyen

Many experiments record sequential trajectories where each trajectory consists of oscillations and fluctuations around zero. Such trajectories can be viewed as zero-mean functional data. When there are structural breaks (on the sequence of…

统计方法学 · 统计学 2022-05-11 Shuhao Jiao , Ron D. Frostig , Hernando Ombao

We introduce a new optimization algorithm, termed contrastive adjustment, for learning Markov transition kernels whose stationary distribution matches the data distribution. Contrastive adjustment is not restricted to a particular family of…

机器学习 · 计算机科学 2023-03-20 Ludvig Bergenstråhle , Jens Lagergren , Joakim Lundeberg

Developing feature selection algorithms that move beyond a pure correlational to a more causal analysis of observational data is an important problem in the sciences. Several algorithms attempt to do so by discovering the Markov blanket of…

机器学习 · 统计学 2014-05-06 Eric V. Strobl , Shyam Visweswaran

Oftentimes in practice, the observed process changes statistical properties at an unknown point in time and the duration of a change is substantially finite, in which case one says that the change is intermittent or transient. We provide an…

应用统计 · 统计学 2023-04-11 Grigory Sokolov , Valentin S. Spivak , Alexander G. Tartakovsky

A change point detection (CPD) framework assisted by a predictive machine learning model called "Predict and Compare" is introduced and characterised in relation to other state-of-the-art online CPD routines which it outperforms in terms of…

机器学习 · 计算机科学 2024-06-05 Anna-Christina Glock , Florian Sobieczky , Johannes Fürnkranz , Peter Filzmoser , Martin Jech

Sequential change-point detection plays a critical role in numerous real-world applications, where timely identification of distributional shifts can greatly mitigate adverse outcomes. Classical methods commonly rely on parametric density…

机器学习 · 统计学 2025-01-23 Wenbin Zhou , Liyan Xie , Zhigang Peng , Shixiang Zhu