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Inspired by graph-based methodologies, we introduce a novel graph-spanning algorithm designed to identify changes in both offline and online data across low to high dimensions. This versatile approach is applicable to Euclidean and…

Machine Learning · Statistics 2026-01-09 Yang-Wen Sun , Katerina Papagiannouli , Vladimir Spokoiny

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…

Machine Learning · Computer Science 2024-03-12 Tingnan Gong , Junghwan Lee , Xiuyuan Cheng , Yao Xie

Understanding brain dynamics and functions critically depends on knowledge of the network connectivity among neurons. However, the complexity of brain structural connectivity, coupled with continuous modifications driven by synaptic…

Neurons and Cognition · Quantitative Biology 2025-07-04 Kai Chen , Mingzhang Wang , Songting Li , Douglas Zhou

Initial development and subsequent calibration of discrete event simulation models for complex systems require accurate identification of dynamically changing process characteristics. Existing data driven change point methods (DD-CPD)…

Machine Learning · Computer Science 2024-10-30 Suleyman Yildirim , Alper Ekrem Murat , Murat Yildirim , Suzan Arslanturk

We investigate online network topology identification from smooth nodal observations acquired in a streaming fashion. Different from non-adaptive batch solutions, our distinctive goal is to track the (possibly) dynamic adjacency matrix with…

Signal Processing · Electrical Eng. & Systems 2022-11-15 Seyed Saman Saboksayr , Gonzalo Mateos

We suggest a novel procedure for online change point detection. Our approach expands an idea of maximizing a discrepancy measure between points from pre-change and post-change distributions. This leads to flexible algorithms suitable for…

Machine Learning · Statistics 2026-03-24 Nikita Puchkin , Artur Goldman , Konstantin Yakovlev , Valeriia Dzis , Uliana Vinogradova

Changepoint detection is the problem of finding abrupt or gradual changes in time series data when the distribution of the time series changes significantly. There are many sophisticated statistical algorithms for solving changepoint…

Methodology · Statistics 2020-10-14 Ritwik Bhaduri , Subhrajyoty Roy , Sankar K. Pal

For sequential data, a change point is a moment of abrupt regime switch in data streams. Such changes appear in different scenarios, including simpler data from sensors and more challenging video surveillance data. We need to detect…

Machine Learning · Computer Science 2025-09-03 Evgenia Romanenkova , Alexander Stepikin , Matvey Morozov , Alexey Zaytsev

Detecting abrupt changes in data distribution is one of the most significant tasks in streaming data analysis. Although many unsupervised Change-Point Detection (CPD) methods have been proposed recently to identify those changes, they still…

Machine Learning · Computer Science 2024-04-26 Yang Cao , Ye Zhu , Kai Ming Ting , Flora D. Salim , Hong Xian Li , Luxing Yang , Gang Li

The random dot product graph (RDPG) is an independent-edge random graph that is analytically tractable and, simultaneously, either encompasses or can successfully approximate a wide range of random graphs, from relatively simple stochastic…

Differential equations are pivotal in modeling and understanding the dynamics of various systems, offering insights into their future states through parameter estimation fitted to time series data. In fields such as economy, politics, and…

Machine Learning · Statistics 2024-04-24 Hyeontae Jo , Sung Woong Cho , Hyung Ju Hwang

The automatic detection of changes or anomalies between multispectral and hyperspectral images collected at different time instants is an active and challenging research topic. To effectively perform change-point detection in multitemporal…

Signal Processing · Electrical Eng. & Systems 2022-11-28 Ricardo Augusto Borsoi , Cédric Richard , André Ferrari , Jie Chen , José Carlos Moreira Bermudez

The goal of anomaly detection is to identify observations that are generated by a distribution that differs from the reference distribution that qualifies normal behavior. When examining a time series, the reference distribution may evolve…

Methodology · Statistics 2024-07-23 Etienne Krönert , Dalila Hattab , Alain Celisse

We propose a grid-based methodology for online changepoint detection that allows offline changepoint tests to be applied to sequentially observed data. The methodology achieves low update and storage costs by testing for changepoints over a…

Methodology · Statistics 2026-03-20 Per August Jarval Moen

We investigate the online detection of changepoints in the distribution of a sequence of observations using degenerate U-statistic-type processes. We study weighted versions of: an ordinary, CUSUM-type scheme, a Page-CUSUM-type scheme, and…

Statistics Theory · Mathematics 2025-10-28 Cooper Boniece , Lajos Horvath , Lorenzo Trapani

Identifying change points (CPs) in a time series is crucial to guide better decision making across various fields like finance and healthcare and facilitating timely responses to potential risks or opportunities. Existing Change Point…

Machine Learning · Computer Science 2023-06-09 Kopal Garg , Jennifer Yu , Tina Behrouzi , Sana Tonekaboni , Anna Goldenberg

In time series data analysis, detecting change points on a real-time basis (online) is of great interest in many areas, such as finance, environmental monitoring, and medicine. One promising means to achieve this is the Bayesian online…

Machine Learning · Statistics 2022-01-10 Ginga Yoshizawa

Sequential (online) change-point detection involves continuously monitoring time-series data and triggering an alarm when shifts in the data distribution are detected. We propose an algorithm for real-time identification of alterations in…

Methodology · Statistics 2024-12-16 Yuhan Tian , Abolfazl Safikhani

Change point detection (CPD) and anomaly detection (AD) are essential techniques in various fields to identify abrupt changes or abnormal data instances. However, existing methods are often constrained to univariate data, face scalability…

Change-point detection (CPD) in high-dimensional, large-volume time series is challenging for statistical consistency, scalability, and interpretability. We introduce TimePred, a self-supervised framework that reduces multivariate CPD to…

Machine Learning · Computer Science 2025-12-19 Simon Leszek