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Sumset and Inverse Sumset Inequalities for Differential Entropy and Mutual Information
Shannon entropy differential entropy sumset bounds inequalities submodularity data processing mutual information
2012/6/19
The sumset and inverse sumset theories of Freiman, Pl\"{u}nnecke and Ruzsa, give bounds connecting the cardinality of the sumset $A+B=\{a+b\;;\;a\in A,\,b\in B\}$ of two discrete sets $A,B$, to the ca...
A method for obtaining the explicit pointwise bounds on solutions to the general form of linear systems of Volterra integral inequalities in n independent variables is recomended. All known results re...