Estimating the number of change-points in a two-dimensional segmentation model without penalization

Abstract : In computational biology, numerous recent studies have been dedicated to the analysis of the chromatin structure within the cell by two-dimensional segmentation methods. Motivated by this application, we consider the problem of retrieving the diagonal blocks in a matrix of observations. The theoretical properties of the least-squares estimators of both the boundaries and the number of blocks proposed by L\'evy-Leduc et al. [2014] are investigated. More precisely, the contribution of the paper is to establish the consistency of these estimators. A surprising consequence of our results is that, contrary to the onedimensional case, a penalty is not needed for retrieving the true number of diagonal blocks. Finally, the results are illustrated on synthetic data.
Type de document :
Pré-publication, Document de travail
30 pages, 8 figures. 2015
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https://hal-agroparistech.archives-ouvertes.fr/hal-01589417
Contributeur : Eva Legras <>
Soumis le : lundi 18 septembre 2017 - 15:09:32
Dernière modification le : jeudi 11 janvier 2018 - 06:23:19

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  • HAL Id : hal-01589417, version 1
  • ARXIV : 1506.03198

Citation

V. Brault, M. Delattre, E. Lebarbier, T. Mary-Huard, C. Lévy-Leduc. Estimating the number of change-points in a two-dimensional segmentation model without penalization. 30 pages, 8 figures. 2015. 〈hal-01589417〉

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