On Maximal Correlation, Hypercontractivity, and the Data Processing Inequality studied by Erkip and Cover

Venkat Anantharam, Amin Gohari, Sudeep Kamath +1

In this paper we provide a new geometric characterization of the Hirschfeld-Gebelein-Rényi maximal correlation of a pair of random $(X,Y)$, as well as of the chordal slope of the n…