Tata Institute of Fundamental Research

Entropy Power Inequalities: Results and Speculation

STCS Seminar
Speaker: Professor Venkat Anantharam (University of California at Berkeley Electrical Engineering and Computer Sciences 271 Coray Hall Berkeley, CA 94720 United States of America)
Organiser: Sandeep K Juneja
Date: Monday, 13 Jan 2014, 16:00 to 17:00
Venue: D-405 (D-Block Seminar Room)

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Abstract:  Abstract: Shannon's entropy power inequality characterizes the minimum differential entropy achievable by the sum of two independent random variables with fixed differential entropies.

Since the pioneering work of Shannon, there has been a steady stream of results over the years, trying to develop parallels to Shannon's entropy power inequality in other scenarios, such as for discrete random variables, and point processes.

We will survey this landscape in this talk. We will present old results, new results, and share some speculation about how to prove new kinds of entropy power inequalities.