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On generic chaining and the smallest singular value of random matrices with heavy tails

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Mendelson, Shahar; Paouris, Grigoris

Description

We present a very general chaining method which allows one to control the supremum of the empirical process suph∈H|N-1∑i=1Nh2(Xi)-Eh2| in rather general situations. We use this method to establish two main results. First, a quantitative (non-asymptoti

CollectionsANU Research Publications
Date published: 2012
Type: Journal article
URI: http://hdl.handle.net/1885/19975
Source: Journal of Functional Analysis
DOI: 10.1016/j.jfa.2012.01.027

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