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math.ST2021
Functional estimation in log-concave location families
Vladimir Koltchinskii, Martin Wahl
Let be a log-concave location family with where is a known convex function and let $X_1,\…
math.ST2021
Van Trees inequality, group equivariance, and estimation of principal subspaces
Martin Wahl
We establish non-asymptotic lower bounds for the estimation of principal subspaces. As applications, we obtain new results for the excess risk of principal component analysis and t…