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Talks & Seminars
Information Inequalities: Interpretations and Applications
Prof. Mokshay Madiman, TIFR Mumbai and Yale University
Date & Time: April 13, 2007 10:00
Venue: Conference Room, C Block, 3rd floor, Kanwal Rekhi Building
Abstract:
We review and refine classical inequalities (of Shannon, Han, Shearer etc.) for the joint entropy of a collection of random variables in terms of an arbitrary collection of subset joint entropies. A duality between the upper and new lower bounds for joint entropy is developed, as are connections to entropy power inequalities and multiuser communications. Applications include a new upper bound on the number of independent sets in an arbitrary graph, and new determinantal inequalities. This is joint work with Prasad Tetali (Georgia Tech).
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