Tata Institute of Fundamental Research

Entropy Versus Pairwise Independence

STCS Student Seminar
Speaker: Varun Narayanan
Organiser: Tulasi mohan Molli
Date: Friday, 10 Nov 2017, 17:15 to 18:15
Venue: A-201 (STCS Seminar Room)

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Abstract:  We would discuss the lower bound on the joint entropy of pairwise independent random variables (X_1, ... , X_n) by Lazlo Babai (2013). We know that 2^n - 1 pairwise independent balanced Bernoulli r.v's can be constructed using n independent Bernoulli r.v's. This lower bound shows that this is the best we can do up to a constant factor.