Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
7546672 | Journal of Multivariate Analysis | 2018 | 23 Pages |
Abstract
We propose a novel nonparametric approach to estimate the location of block boundaries (change-points) of non-overlapping blocks in a random symmetric matrix which consists of random variables whose distribution changes from block to block. Our change-point location estimators are based on nonparametric homogeneity tests for matrices. We first provide some theoretical results for these tests. Then, we prove the consistency of our change-point location estimators. Some numerical experiments are also provided in order to support our claims. Finally, our approach is applied to Hi-C data which are used in molecular biology to study the influence of chromosomal conformation on cell function.
Related Topics
Physical Sciences and Engineering
Mathematics
Numerical Analysis
Authors
Vincent Brault, Sarah Ouadah, Laure Sansonnet, Céline Lévy-Leduc,