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Graph-Based Change-Point Analysis

delete2023-03-10
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Hao Chen *
DOI:10.1146/annurev-statistics-122121-033817delete
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Abstract

Abstract

En 中文
Recent technological advances allow for the collection of massive data in the study of complex phenomena over time and/or space in various fields. Many of these data involve sequences of high-dimensional or non-Euclidean measurements, where change-point analysis is a crucial early step in understanding the data. Segmentation, or offline change-point analysis, divides data into homogeneous temporal or spatial segments, making subsequent analysis easier; its online counterpart detects changes in sequentially observed data, allowing for real-time anomaly detection. This article reviews a nonparametric change-point analysis framework that utilizes graphs representing the similarity between observations. This framework can be applied to data as long as a reasonable dissimilarity distance among the observations can be defined. Thus, this framework can be applied to a wide range of applications, from high-dimensional data to non-Euclidean data, such as imaging data or network data. In addition, analytic formulas can be derived to control the false discoveries, making them easy off-the-shelf data analysis tools.
Keywords:
nonparametrics
graph-based tests
scan statistic
tail probability
high-dimensional data
network data
non-Euclidean data

Journal

Annual Review of Statistics and Its Application cover
Annual Review of Statistics and Its Application
IF:
8.7
Papers:
211
Citations:
2.8K

Organization

U
university of california davis
Scholars:
402
Papers: 184
Citations: 5.6K
University of California System cover
University of California System
Scholars:
37.7W
Papers: 33.8W
Citations: 32.8W
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