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Title: Lepskii principle in supervised learning Authors:  Nicole Muecke - TU Braunschweig (Germany) [presenting]
Abstract: A statistical supervised learning problem is investigated under random design. In particular, we analyze reproducing kernel-based estimators arising from a fairly large class of spectral regularization methods. We derive a fully adaptive data driven estimator via a slightly modified version of Lepskiis principle, giving oracle properties both in reproducing kernel norm and prediction norm.