166 citations · 424 across the 44 of their papers we have counts for
Showing 2011Show all
3 papers · 1 filter
math.PR2011
The Bernstein-Orlicz norm and deviation inequalities
Sara van de Geer, Johannes Lederer
We introduce two new concepts designed for the study of empirical processes. First, we introduce a new Orlicz norm which we call the Bernstein-Orlicz norm. This new norm interpolat…
math.PR2011★ 25 cited
New concentration inequalities for suprema of empirical processes
Johannes Lederer, Sara van de Geer
While effective concentration inequalities for suprema of empirical processes exist under boundedness or strict tail assumptions, no comparable results have been available under co…
stat.ME2011★ 1 cited
The Lasso, correlated design, and improved oracle inequalities
Sara van de Geer, Johannes Lederer
We study high-dimensional linear models and the -penalized least squares estimator, also known as the Lasso estimator. In literature, oracle inequalities have been derived…