Article Dans Une Revue Electronic Journal of Statistics Année : 2017

Efficient block boundaries estimation in block-wise constant matrices: An Application to HiC data

Estimation efficace des frontières des blocs d'une matrice constante par blocs : application aux données HiC

Résumé

In this paper, we propose a novel modeling and a new methodology for estimating the location of block boundaries in a random matrix consisting of a block-wise constant matrix corrupted with white noise. Our method consists in rewriting this problem as a variable selection issue. A penalized least-squares criterion with an l1-type penalty is used for dealing with this problem. Firstly, some theoretical results ensuring the consistency of our block boundaries estimators are provided. Secondly, we explain how to implement our approach in a very efficient way. This implementation is available in the R package blockseg which can be found in the Comprehensive R Archive Network. Thirdly, we provide some numerical experiments to illustrate the statistical and numerical performance of our package, as well as a thorough comparison with existing methods. Fourthly, an empirical procedure is proposed for estimating the number of blocks. Finally, our approach is applied to HiC data which are used in molecular biology for better understanding the influence of the chromosomal conformation on the cells functioning.

Fichier principal
Vignette du fichier
BlockSeg_Brault_Chiquet_Levy.pdf (4.61 Mo) Télécharger le fichier
Origine Fichiers produits par l'(les) auteur(s)
Licence
Loading...
HAL

Est décrite par hal-01455720 Autre Julien Chiquet, Vincent Brault. Package 'blockseg'. 2016. ⟨hal-01455720⟩

HAL

Est décrite par hal-01510939 Objet présenté à une conférence Vincent Brault, Adeline Leclercq-Samson, Jean-Charles Quinton. Segmentation des lignes et des colonnes d'une matrice : application aux séquences de navigation visuelle. 49èmes Journées de Statistique, Société Française de Statistique, May 2017, Avignon, France. ⟨hal-01510939⟩

Dates et versions

hal-01455732 , version 1 (03-02-2017)

Licence

Identifiants

Citer

Vincent Brault, Julien Chiquet, Céline Lévy-Leduc. Efficient block boundaries estimation in block-wise constant matrices: An Application to HiC data. Electronic Journal of Statistics , 2017, Electronic Journal of Statistics, 11 (1), pp.1570-1599. ⟨10.1214/17-EJS1270⟩. ⟨hal-01455732⟩
1135 Consultations
347 Téléchargements

Altmetric

Partager

  • More