2020 IEEE International Symposium
on Information Theory
21-26 June 2020 • Los Angeles, California, USA
| Paper ID | S.11.4 | ||
| Paper Title | On the Rényi Entropy of Log-Concave Sequences | ||
| Authors | James Melbourne, University of Minnesota, United States; Tomasz Tkocz, Carnegie Mellon University, United States | ||
| Session | S.11: Renyi Entropy | ||
| Presentation | Lecture | ||
| Track | Shannon Theory | ||
| Manuscript | Click here to download the manuscript | ||
| Virtual Presentation | Click here to watch in the Virtual Symposium | ||
| Abstract | We establish a discrete analog of the Rényi entropy comparison due to Bobkov and Madiman. For log-concave variables on the integers, the min entropy is within log 2e of the usual Shannon entropy. With the additional assumption that the variable is monotone we obtain a sharp bound of log e. | ||
Plan Ahead
2021 IEEE International Symposium on Information Theory
11-16 July 2021 | Melbourne, Victoria, Australia
