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On the Optimality of Sample-Based Estimates of the Expectation of the Empirical Minimizer

Bartlett, Peter L.; Mendelson, Shahar; Philips, Petra


We study sample-based estimates of the expectation of the function produced by the empirical minimization algorithm. We investigate the extent to which one can estimate the rate of convergence of the empirical minimizer in a data dependent manner. We establish three main results. First, we provide an algorithm that upper bounds the expectation of the empirical minimizer in a completely data-dependent manner. This bound is based on a structural result due to Bartlett and Mendelson, which relates...[Show more]

CollectionsANU Research Publications
Date published: 2010-10
Type: Journal article
Source: ESAIM: Probability and Statistics
DOI: 10.1051/ps:2008036


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