3 papers
math.ST2013
Sharp Variable Selection of a Sparse Submatrix in a High-Dimensional Noisy Matrix
Cristina Butucea, Yuri I. Ingster, Irina Suslina
We observe a matrix of independent, identically distributed Gaussian random variables which are centered except for elements of some submatrix of size where…
math.ST2012
Statistical inference in compound functional models
Arnak Dalalyan, Yuri Ingster, Alexandre Tsybakov
We consider a general nonparametric regression model called the compound model. It includes, as special cases, sparse additive regression and nonparametric (or linear) regression w…
math.ST2009
Sparse classification boundaries
Yuri I. Ingster, Christophe Pouet, Alexandre B. Tsybakov
Given a training sample of size from a -dimensional population, we wish to allocate a new observation to this population or to the noise. We suppose that the dif…