An $L_0$-Norm Regularized Method for Multivariate Time Series Segmentation

An $L_0$-Norm Regularized Method for Multivariate Time Series Segmentation

Year:    2022

Author:    Min Li, Yu-Mei Huang

East Asian Journal on Applied Mathematics, Vol. 12 (2022), Iss. 2 : pp. 353–366

Abstract

A multivariate time series segmentation model based on the minimization of the negative log-likelihood function of the series is proposed. The model is regularized by the $L_0$-norm of the time series mean change and solved by an alternating process. We use a dynamic programming algorithm in order to determine the breakpoints and the cross-validation method to find the parameters of the model. Experiments show the efficiency of the method for segmenting both synthetic and real multivariate time series.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/eajam.180921.050122

East Asian Journal on Applied Mathematics, Vol. 12 (2022), Iss. 2 : pp. 353–366

Published online:    2022-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    14

Keywords:    Multivariate time series segmentation $L_0$-norm dynamic programming.

Author Details

Min Li

Yu-Mei Huang