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cs.IT2019★ 12 cited
Two remarks on generalized entropy power inequalities
Mokshay Madiman, Piotr Nayar, Tomasz Tkocz
This note contributes to the understanding of generalized entropy power inequalities. Our main goal is to construct a counter-example regarding monotonicity and entropy comparison…
cs.IT2018★ 14 cited
Sharp moment-entropy inequalities and capacity bounds for log-concave distributions
Mokshay Madiman, Piotr Nayar, Tomasz Tkocz
We show that the uniform distribution minimizes entropy among all one-dimensional symmetric log-concave distributions with fixed variance, as well as various generalizations of thi…