122 citations · 165 across the 7 of their papers we have counts for
8 papers
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…
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…
Detection of a sparse submatrix of a high-dimensional noisy matrix
Cristina Butucea, Yuri I. Ingster
We observe a matrix with i.i.d. in , and . We test the null hypothesis fo…
Minimax nonparametric testing in a problem related to the Radon transform
Yuri I. Ingster, Theofanis Sapatinas, Irina A. Suslina
We consider the detection problem of a two-dimensional function from noisy observations of its integrals over lines. We study both rate and sharp asymptotics for the error probabil…
Detection of sparse additive functions
Ghislaine Gayraud, Yuri Ingster
We study the problem of detection of a high-dimensional signal function in the white Gaussian noise model. As well as a smoothness assumption on the signal function, we assume an a…
Detection boundary in sparse regression
Yuri I. Ingster, Alexandre B. Tsybakov, Nicolas Verzelen
We study the problem of detection of a p-dimensional sparse vector of parameters in the linear regression model with Gaussian noise. We establish the detection boundary, i.e., the…