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math.ST2009★ 719 cited
On the conditions used to prove oracle results for the Lasso
Sara A. van de Geer, Peter Bühlmann
Oracle inequalities and variable selection properties for the Lasso in linear models have been established under a variety of different assumptions on the design matrix. We show in…
math.PR2009★ 9 cited
Multivariate Log-Concave Distributions as a Nearly Parametric Model
Dominic Schuhmacher, Andre Huesler, Lutz Duembgen
In this paper we show that the family P_d of probability distributions on R^d with log-concave densities satisfies a strong continuity condition. In particular, it turns out that w…