It has become routine to collect data that are structured as multiway arrays (tensors). There is an enormous literature on low rank and sparse matrix factorizations, but limited …
C Butucea, YI Ingster, IA Suslina - ESAIM: Probability and Statistics, 2015 - esaim-ps.org
We observe a N× M matrix of independent, identically distributed Gaussian random variables which are centered except for elements of some submatrix of size n× m where the …
E Chernousova, Y Golubev, E Krymova - 2013 - projecteuclid.org
The main goal in this paper is to propose a new approach to deriving oracle inequalities related to the exponential weighting method. The paper focuses on recovering an unknown …
Y Golubev, D Ostrovski - Mathematical Methods of Statistics, 2014 - Springer
The paper is concerned with recovering an unknown vector from noisy data with the help of a family of ordered smoothers [11]. The estimators within this family are aggregated based …
This thesis is devoted to the study of both theoretical and practical properties of various aggregation techniques. We first extend the PAC-Bayesian theory to the high dimensional …
The aim of this habilitation thesis is to give an overview of my works on high-dimensional statistics and statistical learning, under various sparsity assumptions. In a first part, I will …
Résumé Ce mémoire d'habilitation a pour objet diverses contributions à l'estimation et à l'apprentissage statistique dans les modeles en grande dimension, sous différentes …
Substantial progress has been achieved over the last years in estimating very highdimensional regression models. A thorough introduction to this dynamic field of …