Subadditivity of matrix $\varphi$-entropy and concentration of random matrices

Joel Tropp, Richard Chen
2014 Electronic Journal of Probability  
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.
doi:10.1214/ejp.v19-2964 fatcat:fht7qcky6balrokkaeic2tnhea