English

A factor model approach for the joint segmentation with between-series correlation

Methodology 2018-07-18 v2

Abstract

We consider the segmentation of set of correlated time-series, the correlation being allowed to take an arbitrary form but being the same at each time-position. We show that encoding the dependency in a factor model enables us to use the dynamic programming algorithm for the inference of the breakpoints, which remains one the most efficient algorithm. We propose a model selection procedure to determine both the number of breakpoints and the number of factors. This proposed method is implemented in the FASeg R package, which is available on the CRAN. We demonstrate the performances of our procedure through simulation experiments and an application to geodesic data is presented.

Keywords

Cite

@article{arxiv.1505.05660,
  title  = {A factor model approach for the joint segmentation with between-series correlation},
  author = {Xavier Collilieux and Emilie Lebarbier and Stéphane Robin},
  journal= {arXiv preprint arXiv:1505.05660},
  year   = {2018}
}
R2 v1 2026-06-22T09:38:37.176Z