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An Inequality for Relative Entropy and Logarithmic Sobolev Inequalities in Euclidean Spaces [PDF]
For a class of density functions q(x) on R n we prove an inequality between relative entropy and the weighted sum of conditional relative entropies of the following form: for any density function p(x) on R n, where p i({dot operator}|y 1,..., y i-1, y i ...
Marton, Katalin
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Journal of Functional Analysis, 2014Nathael Gozlan
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