2 citations · 4 across the 15 of their papers we have counts for
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Finite de Finetti bounds in relative entropy
Lampros Gavalakis, Oliver Johnson, Ioannis Kontoyiannis
We review old and recent finite de Finetti theorems in total variation distance and in relative entropy, and we highlight their connections with bounds on the difference between sa…
Relative entropy bounds for sampling with and without replacement
Oliver Johnson, Lampros Gavalakis, Ioannis Kontoyiannis
Sharp, nonasymptotic bounds are obtained for the relative entropy between the distributions of sampling with and without replacement from an urn with balls of colors. Our…
On the monotonicity of discrete entropy for log-concave random vectors on
Matthieu Fradelizi, Lampros Gavalakis, Martin Rapaport
We prove the following type of discrete entropy monotonicity for sums of isotropic, log-concave, independent and identically distributed random vectors on $\mat…