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The problem of robust quickest change detection (QCD) in non-stationary processes under a multi-stream setting is studied. In classical QCD theory, optimal solutions are developed to detect a sudden change in the distribution of stationary…

统计方法学 · 统计学 2024-12-09 Yingze Hou , Hoda Bidkhori , Taposh Banerjee

We consider the problem of change-point detection in multivariate time-series. The multivariate distribution of the observations is supposed to follow a graphical model, whose graph and parameters are affected by abrupt changes throughout…

机器学习 · 统计学 2016-06-20 Loïc Schwaller , Stéphane Robin

Focusing on stochastic systems arising in mean-field models, the systems under consideration belong to the class of switching diffusions, in which continuous dynamics and discrete events coexist and interact. The discrete events are modeled…

概率论 · 数学 2019-01-18 Son L. Nguyen , George Yin , Tuan A. Hoang

Time-varying random objects have been increasingly encountered in modern data analysis. Moreover, in a substantial number of these applications, periodic behaviour of the random objects has been observed. We develop a novel procedure to…

统计方法学 · 统计学 2025-08-27 Jiazhen Xu , Andrew T. A. Wood , Tao Zou

Suppose a process yields independent observations whose distributions belong to a family parameterized by \theta\in\Theta. When the process is in control, the observations are i.i.d. with a known parameter value \theta_0. When the process…

统计理论 · 数学 2007-06-13 Gary Lorden , Moshe Pollak

A change point problem occurs in many statistical applications. If there exist change points in a model, it is harmful to make a statistical analysis without any consideration of the existence of the change points and the results derived…

统计方法学 · 统计学 2011-01-24 Xiaoping Shi , Yuehua Wu , Baisuo Jin

Multiple Object Tracking (MOT) focuses on modeling the relationship of detected objects among consecutive frames and merge them into different trajectories. MOT remains a challenging task as noisy and confusing detection results often…

计算机视觉与模式识别 · 计算机科学 2023-02-07 Tao Wang , Kean Chen , Weiyao Lin , John See , Zenghui Zhang , Qian Xu , Xia Jia

We propose a new, generic and flexible methodology for nonparametric function estimation, in which we first estimate the number and locations of any features that may be present in the function, and then estimate the function parametrically…

统计方法学 · 统计学 2024-12-17 Rafal Baranowski , Yining Chen , Piotr Fryzlewicz

While previous distribution shift detection approaches can identify if a shift has occurred, these approaches cannot localize which specific features have caused a distribution shift -- a critical step in diagnosing or fixing any underlying…

机器学习 · 计算机科学 2021-07-16 Sean Kulinski , Saurabh Bagchi , David I. Inouye

In recent years, machine learning has been adopted to complex networks, but most existing works concern about the structural properties. To use machine learning to detect phase transitions and accurately identify the critical transition…

物理与社会 · 物理学 2020-01-08 Qi Ni , Ming Tang , Ying Liu , Ying-Cheng Lai

Online detection of changes in stochastic systems, referred to as sequential change detection or quickest change detection, is an important research topic in statistics, signal processing, and information theory, and has a wide range of…

统计理论 · 数学 2021-04-12 Liyan Xie , Shaofeng Zou , Yao Xie , Venugopal V. Veeravalli

This paper develops a flexible and computationally efficient multivariate volatility model, which allows for dynamic conditional correlations and volatility spillover effects among financial assets. The new model has desirable properties…

统计方法学 · 统计学 2025-07-25 Wenyu Li , Yuchang Lin , Qianqian Zhu , Guodong Li

The problem of quickest detection of a change in the distribution of a sequence of random variables is studied. The objective is to detect the change with the minimum possible delay, subject to constraints on the rate of false alarms and…

统计方法学 · 统计学 2024-12-31 Yingze Hou , Hoda Bidkhori , Taposh Banerjee

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

We propose a novel approach for change-point detection and parameter learning in multivariate non-stationary time series exhibiting oscillatory behaviour. We approximate the process through a piecewise function defined by a sum of…

统计方法学 · 统计学 2026-02-02 Nicolas Bianco , Lorenzo Cappello

The problem of quickest change detection (QCD) in anonymous heterogeneous sensor networks is studied. There are $n$ heterogeneous sensors and a fusion center. The sensors are clustered into $K$ groups, and different groups follow different…

信号处理 · 电气工程与系统科学 2022-03-23 Zhongchang Sun , Shaofeng Zou , Ruizhi Zhang , Qunwei Li

This paper focuses on the invariance control problem for discrete-time switched nonlinear systems. The proposed approach computes controlled invariant sets in a finite number of iterations and directly yields a partition-based invariance…

最优化与控制 · 数学 2016-09-01 Yinan Li , Jun Liu

We address the problem of quickest change detection in Markov processes with unknown transition kernels. The key idea is to learn the conditional score $\nabla_{\mathbf{y}} \log p(\mathbf{y}|\mathbf{x})$ directly from sample pairs $(…

机器学习 · 计算机科学 2025-11-07 Wuxia Chen , Taposh Banerjee , Vahid Tarokh

We propose a new framework for the detection of change-points in online, sequential data analysis. The approach utilizes nearest neighbor information and can be applied to sequences of multivariate observations or non-Euclidean data…

统计方法学 · 统计学 2018-05-01 Hao Chen

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