报告题目: Bayesian asymptotics: From universal source coding to general large-scale MIMO communication
报告人：杨盛教授，巴黎萨克雷大学
时间/地点：8月3日（周一）16:00-18:00，信息大楼1034会议室
Abstract:
In this talk, I will first provide a brief overview of the role of Bayesian asymptotics in universal source coding, specifically through mixture codes such as the well-known Krichevsky-Trofimov coding distribution for i.i.d. sources and the context-tree weighting algorithm for variable-order Markov sources. I will then transition to the large-scale MIMO communication problem by connecting the minimum Bayesian redundancy in source coding to the maximum mutual information in channel coding. Specifically, I will demonstrate that the asymptotic capacity of a general MIMO channel—under both peak and average power constraints—admits a simple and elegant expression through what we term the Jeffreys factor, with the optimal input distribution being the tilted Jeffreys prior. This Jeffreys factor generalizes the role of the signal-to-noise ratio (SNR) found in conventional MIMO systems, capturing all the statistical nuances of general MIMO channels. Finally, I will provide a systematic, three-step recipe to straightforwardly compute this asymptotic capacity, applying it to diverse scenarios such as channels with clipping, phase noise, or output quantization, fading channels with imperfect channel knowledge, and even the optical Poisson channel. If time permits, I will conclude with a discussion on the more practical problem of constellation design for large-scale MIMO channels.
This talk is based on our recent paper:
S. Yang and R. Combes, “From Bayesian Asymptotics to General Large-Scale MIMO Capacity,” IEEE Transactions on Information Theory, vol. 72, no. 5, pp. 3014-3029, May 2026.
Bio:
Sheng Yang received the B.E. degree in electrical engineering from Jiaotong University, Shanghai, China, in 2001, and both the engineer degree and the M.Sc. degree in electrical engineering from Telecom Paris, France, in 2004, respectively. In 2007, he obtained his Ph.D. from Université de Pierre et Marie Curie (Paris VI). From October 2007 to November 2008, he was with Motorola Research Center in Gif-sur-Yvette, France, as a senior staff research engineer. Since December 2008, he has joined CentraleSupélec, Paris-Saclay University, where he is currently a full professor. He has also hold visiting professorships in the University of Hong Kong (2015, 2016) and the Hong Kong University of Science and Technology (2023-2026). He received the 2015 IEEE ComSoc Young Researcher Award for the Europe, Middle East, and Africa Region (EMEA). He was an associate editor of the IEEE transactions on wireless communications from 2015 to 2020. He is an associate editor of the IEEE transactions on information theory since 2021.
