Non-interactive simulation of joint distributions: The Hirschfeld-Gebelein-Rényi maximal correlation and the hypercontractivity ribbon

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Inference Under Information Constraints II: Communication Constraints and Shared Randomness (2019, methodology): “Starting with the works of Gács and Körner [24] and Wyner [46] where the problem of generating shared randomness from correlated randomness and vice-versa, respectively, were considered, several important variants have been studied such as correlated sampling [15], [37], [33], [11] and non-interacti”
Decidability of Non-interactive Simulation of Joint Distributions (2016, background): “Recent works in the information theory community [32], [7], [33] enhance the collection of analytical tools that can be used to show stronger impossibility results.”
Strong Data Processing Inequalities and $\Phi $ -Sobolev Inequalities for Discrete Channels (2014, background): “In the last couple of years, strong data processing inequalities became the subject of intense interest in the information theory community [14]–[22] due to their apparent usefulness for establishing various converse results.”