most citedOracle Inequalities and Optimal Inference under Group Sparsity

6 citations · 6 across the 2 of their papers we have counts for

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2 papers

math.ST2026

Maximum effective dimension and information gain

David Janz, Arya Akhavan, Alexandre B. Tsybakov

We establish general upper bounds on the maximum effective dimension and information gain of kernel Gram matrices over arbitrary designs in terms of approximation properties of the…

math.ST2010★ 6 cited

Oracle Inequalities and Optimal Inference under Group Sparsity

Karim Lounici, Massimiliano Pontil, Alexandre B. Tsybakov +1

We consider the problem of estimating a sparse linear regression vector under a gaussian noise model, for the purpose of both prediction and model selection. We assume that p…