122 citations · 165 across the 7 of their papers we have counts for
3 papers · 1 filter
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…
Minimax signal detection in ill-posed inverse problems
Yuri I. Ingster, Theofanis Sapatinas, Irina A. Suslina
Ill-posed inverse problems arise in various scientific fields. We consider the signal detection problem for mildly, severely and extremely ill-posed inverse problems with -ell…