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In this paper we study the setting where features are added or change interpretation over time, which has applications in multiple domains such as retail, manufacturing, finance. In particular, we propose an approach to provably determine…

Machine Learning · Computer Science 2017-05-02 Amit Dhurandhar , Steve Hanneke , Liu Yang

Topological Data Analysis (TDA) is a rapidly growing field, which studies methods for learning underlying topological structures present in complex data representations. TDA methods have found recent success in extracting useful geometric…

Methodology · Statistics 2021-03-09 Xiaojun Zheng , Simon Mak , Yao Xie

Identifying articulation points (APs) is fundamental to assessing the robustness of time-varying networks. In such dynamic environments, topological changes including edge additions and deletions can instantly alter the set of APs,…

Social and Information Networks · Computer Science 2025-12-05 Xinye Xie , Ronghao Zheng , Senlin Zhang , Meiqin Liu

We initiate the study of deterministic distributed graph algorithms with predictions in synchronous message passing systems. The process at each node in the graph is given a prediction, which is some extra information about the problem…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-01-01 Joan Boyar , Faith Ellen , Kim S. Larsen

A simultaneous change-point detection and estimation in a piece-wise constant model is a common task in modern statistics. If, in addition, the whole estimation can be performed automatically, in just one single step without going through…

Statistics Theory · Mathematics 2019-01-16 Gabriela Ciuperca , Matúš Maciak

This paper develops change-point methods for the spectrum of a locally stationary time series. We focus on series with a bounded spectral density that change smoothly under the null hypothesis but exhibits change-points or becomes less…

Statistics Theory · Mathematics 2024-08-08 Alessandro Casini , Pierre Perron

We introduce the attractor-based coevolving dot product random graph model (ABCDPRGM) to analyze time-series network data manifesting polarizing or flocking behavior. Graphs are generated based on latent positions under the random dot…

Methodology · Statistics 2025-05-06 Shiwen Yang , Daniel L. Sussman

We propose a probabilistic formulation that enables sequential detection of multiple change points in a network setting. We present a class of sequential detection rules for certain functionals of change points (minimum among a subset), and…

Statistics Theory · Mathematics 2012-07-09 Arash Ali Amini , XuanLong Nguyen

This paper addresses a fundamental but largely unexplored challenge in sequential changepoint analysis: conducting inference following a detected change. We develop a very general framework to construct confidence sets for the unknown…

Machine Learning · Statistics 2026-05-12 Aytijhya Saha , Aaditya Ramdas

We propose a novel change-point detection method based on online Dynamic Mode Decomposition with control (ODMDwC). Leveraging ODMDwC's ability to find and track linear approximation of a non-linear system while incorporating control…

Artificial Intelligence · Computer Science 2024-08-20 Marek Wadinger , Michal Kvasnica , Yoshinobu Kawahara

In the sequential change-point detection literature, most research specifies a required frequency of false alarms at a given pre-change distribution $f_{\theta}$ and tries to minimize the detection delay for every possible post-change…

Statistics Theory · Mathematics 2007-06-13 Yajun Mei

Evolving data streams induce joint nonstationarity in continual semantic segmentation, where semantic classes, input distributions, and supervision availability change simultaneously over time. This setting reflects practical structured…

Computer Vision and Pattern Recognition · Computer Science 2026-05-21 Prashant Pandey , Himanshu Kumar , Devineni Sri Venkatraya Chowdary , Brejesh Lall

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…

Methodology · Statistics 2018-05-01 Hao Chen

Change point detection in time series has attracted substantial interest, but most of the existing results have been focused on detecting change points in the time domain. This paper considers the situation where nonlinear time series have…

Methodology · Statistics 2021-11-22 Yan Cui , Jun Yang , Zhou Zhou

Change point detection in time series aims to identify moments when the probability distribution of time series changes. It is widely applied in many areas, such as human activity sensing and medical science. In the context of multivariate…

Machine Learning · Computer Science 2025-07-15 Shanyun Gao , Raghavendra Addanki , Tong Yu , Ryan A. Rossi , Murat Kocaoglu

We investigate the significance of change-points within fully nonparametric regression contexts, with a particular focus on panel data where data generation processes vary across units, and error terms may display complex dependency…

Econometrics · Economics 2025-01-07 Likai Chen , Georg Keilbar , Liangjun Su , Weining Wang

This paper addresses the problem of change-point detection on sequences of high-dimensional and heterogeneous observations, which also possess a periodic temporal structure. Due to the dimensionality problem, when the time between…

Machine Learning · Statistics 2019-03-25 Pablo Moreno-Muñoz , David Ramírez , Antonio Artés-Rodríguez

In change-point analysis, one aims at finding the locations of abrupt distributional changes (if any) in a sequence of multivariate observations. In this article, we propose some nonparametric methods based on averages of pairwise distances…

Statistics Theory · Mathematics 2025-11-14 Spandan Ghoshal , Bilol Banerjee , Anil K. Ghosh

Consider observations $y_1,\dots,y_n$ on nodes of a connected graph, where the $y_i$ independently come from $N(\theta_i, \sigma^2)$ distributions and an unknown partition divides the $n$ observations into blocks. One well-studied class of…

Methodology · Statistics 2015-09-03 Xiaofei Wang , John W. Emerson

We introduce a rank-based bent linear regression with an unknown change point. Using a linear reparameterization technique, we propose a rank-based estimate that can make simultaneous inference on all model parameters, including the…

Methodology · Statistics 2016-06-08 Feipeng Zhang , Qunhua Li