Karim Lounici

activity

20082026

most citedTaking Advantage of Sparsity in Multi-Task Learning

123 citations · 480 across the 32 of their papers we have counts for

collaborators

Showing 2010 · math.STShow all

3 papers · 2 filters

math.ST2010

Nuclear norm penalization and optimal rates for noisy low rank matrix completion

Vladimir Koltchinskii, Alexandre B. Tsybakov, Karim Lounici

This paper deals with the trace regression model where $n$ entries or linear combinations of entries of an unknown $m_{1} \times m_{2}$ matrix $A_{0}$ corrupted by noise are observed. We…

math.ST2010★ 29 cited

Pac-bayesian bounds for sparse regression estimation with exponential weights

Pierre Alquier, Karim Lounici

We consider the sparse regression model where the number of parameters $p$ is larger than the sample size $n$ . The difficulty when considering high-dimensional problems is to propo…

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 $β^{*}$ under a gaussian noise model, for the purpose of both prediction and model selection. We assume that p…