2.5k citations · 4.9k across the 53 of their papers we have counts for
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math.ST2012★ 15 cited
Discussion: Latent variable graphical model selection via convex optimization
Christophe Giraud, Alexandre Tsybakov
Discussion of "Latent variable graphical model selection via convex optimization" by Venkat Chandrasekaran, Pablo A. Parrilo and Alan S. Willsky [arXiv:1008.1290].
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.ST2012★ 6 cited
Estimation of Covariance Matrices under Sparsity Constraints
Philippe Rigollet, Alexandre Tsybakov
We prove optimal sparsity oracle inequalities for the estimation of covariance matrix under the Frobenius norm. In particular we explore various sparsity structures on the underlyi…