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Subadditivity of Matrix phi-Entropy and Concentration of Random Matrices

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arxiv 1308.2952 v1 pith:LKW5SHVB submitted 2013-08-13 cs.IT math.ITmath.PR

classification cs.ITmath.ITmath.PR
keywords matrixconcentrationinequalitiesmethodrandomappliesargumentsbound
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Matrix concentration inequalities provide a direct way to bound the typical spectral norm of a random matrix. The methods for establishing these results often parallel classical arguments, such as the Laplace transform method. This work develops a matrix extension of the entropy method, and it applies these ideas to obtain some matrix concentration inequalities.

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