On hypercontractivity and a data processing inequality

Anantharam, V ; Sharif University of Technology

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  1. Type of Document: Article
  2. DOI: 10.1109/ISIT.2014.6875389
  3. Abstract:
  4. In this paper we provide the correct tight constant to a data-processing inequality claimed by Erkip and Cover. The correct constant turns out to be a particular hypercontractivity parameter of (X,Y), rather than their squared maximal correlation. We also provide alternate geometric characterizations for both maximal correlation as well as the hypercontractivity parameter that characterizes the data-processing inequality
  5. Keywords:
  6. Geometry ; Information theory ; Geometric characterization ; Maximal correlation ; Data handling
  7. Source: IEEE International Symposium on Information Theory - Proceedings ; 29 June through 4 July , 2014 , pp. 3022-3026
  8. URL: http://ieeexplore.ieee.org/xpl/login.jsp?tp=&arnumber=6875389&url=http%3A%2F%2Fieeexplore.ieee.org%2Fxpls%2Fabs_all.jsp%3Farnumber%3D6875389