Some Properties of Empirical Risk Minimization over Donsker Classes

We study properties of algorithms which minimize (or almost minimize) empirical error over a Donsker class of functions. We show that the L2-diameter of the set of almost-minimizers is converging to zero in probability. Therefore, as the number of samples grows, it is becoming unlikely that adding a...

Full description

Bibliographic Details
Main Authors: Caponnetto, Andrea, Rakhlin, Alexander
Language:en_US
Published: 2005
Subjects:
Online Access:http://hdl.handle.net/1721.1/30545