Gustavo L. Gilardoni

activity

20062018

most citedOn Pinsker's Type Inequalities and Csiszar's f-divergences. Part I: Second and Fourth-Order Inequalities

82 citations · 85 across the 3 of their papers we have counts for

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cs.IT2009★ 2 cited

On a Gel'fand-Yaglom-Peres theorem for f-divergences

Gustavo L. Gilardoni

It is shown that the $f$ -divergence between two probability measures $P$ and $R$ equals the supremum of the same $f$ -divergence computed over all finite measurable partitions of th…

cs.IT2006★ 82 cited

On Pinsker's Type Inequalities and Csiszar's f-divergences. Part I: Second and Fourth-Order Inequalities

Gustavo L. Gilardoni

We study conditions on $f$ under which an $f$ -divergence $D_{f}$ will satisfy $D_{f} \geq c_{f} V^{2}$ or $D_{f} \geq c_{2, f} V^{2} + c_{4, f} V^{4}$ , where $V$ denotes variational distance and t…