Technical Program

Paper Detail

Paper Title Strong Converse for Hypothesis Testing Against Independence over a Two-Hop Network
Paper IdentifierTH2.R4.2
Authors Daming Cao, Southeast University, China; Lin Zhou, University of Michigan, United States; Vincent Y. F. Tan, National University of Singapore, Singapore
Session Testing and Classification III
Location Odéon, Level 3
Session Time Thursday, 11 July, 11:40 - 13:00
Presentation Time Thursday, 11 July, 12:00 - 12:20
Manuscript  Click here to download the manuscript
Abstract By proving a strong converse, we strengthen the weak converse result by Salehkalaibar, Wigger and Wang (2017) concerning hypothesis testing against independence over a two-hop network with communication constraints. Our proof follows by judiciously combining two recently proposed techniques for proving strong converse theorems, namely the strong converse technique via reverse hypercontractivity by Liu, van Handel, and Verd\'u (2017) and the strong converse technique by Tyagi and Watanabe (2018), in which the authors used a change-of-measure technique and replaced hard Markov constraints with soft information costs. The techniques used in our paper can also be applied to prove strong converse theorems for other multiterminal hypothesis testing against independence problems.