Technical Program

Paper Detail

Paper Title On the Polarization of R\'{e}nyi Entropy
Paper IdentifierTH3.R2.2
Authors Mengfan Zheng, Imperial College London, United Kingdom; Ling Liu, Huawei Technologies Co., Ltd., China; Cong Ling, Imperial College London, United Kingdom
Session Polarization
Location Saint Germain, Level 3
Session Time Thursday, 11 July, 14:30 - 16:10
Presentation Time Thursday, 11 July, 14:50 - 15:10
Manuscript  Click here to download the manuscript
Abstract Existing polarization theories have mostly been concerned with Shannon's information measures, such as Shannon entropy and mutual information, and some related measures such as the Bhattacharyya parameter. In this work, we extend polarization theories to a more general information measure, namely, the R\'{e}nyi entropy. Our study shows that under conditional R\'{e}nyi entropies of different orders, the same synthetic sub-channel may exhibit opposite extremal states. This result reveals more insights into the polarization phenomenon on the micro scale (probability pairs) rather than on the average scale (entropy, mutual information, etc.).