Seventh Workshop on Information Theoretic Methods in Science and Engineering

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 understand the structure of Shannon’s entropy power inequality, as well as trying to develop similar entropy power inequalities in other scenarios, such as for discrete random variables. We will discuss some aspects of 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.