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Problemy Peredachi Informatsii, 2015, Volume 51, Issue 4, Pages 32–46
(Mi ppi2185)
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This article is cited in 4 scientific papers (total in 4 papers)
Methods of Signal Processing
Estimation of matrices with row sparsity
O. Kloppa, A. B. Tsybakovb a CREST and MODAL'X, University Paris Ouest, Nanterre, France
b UMR CNRS 9194, ENSAE, Malakoff, France
Abstract:
An increasing number of applications is concerned with recovering a sparse matrix from noisy observations. In this paper, we consider the setting where each row of an unknown matrix is sparse. We establish minimax optimal rates of convergence for estimating matrices with row sparsity. A major focus in the present paper is on the derivation of lower bounds.
Received: 15.03.2015 Revised: 08.09.2015
Citation:
O. Klopp, A. B. Tsybakov, “Estimation of matrices with row sparsity”, Probl. Peredachi Inf., 51:4 (2015), 32–46; Problems Inform. Transmission, 51:4 (2015), 335–348
Linking options:
https://www.mathnet.ru/eng/ppi2185 https://www.mathnet.ru/eng/ppi/v51/i4/p32
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