Sparse covers for sums of indicators
Author(s)
Papadimitriou, Christos; Daskalakis, Konstantinos
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For all n, ε > 0), we show that the set of Poisson Binomial distributions on n variables admits a proper ε-cover in total variation distance of size n[superscript 2] + n · (1/ε)[superscript O(log[superscript 2] (1/ε)), which can also be computed in polynomial time. We discuss the implications of our construction for approximation algorithms and the computation of approximate Nash equilibria in anonymous games.
Date issued
2014-11Department
Massachusetts Institute of Technology. Computer Science and Artificial Intelligence Laboratory; Massachusetts Institute of Technology. Department of Electrical Engineering and Computer ScienceJournal
Probability Theory and Related Fields
Publisher
Springer-Verlag
Citation
Daskalakis, Constantinos, and Christos Papadimitriou. “Sparse Covers for Sums of Indicators.” Probab. Theory Relat. Fields 162, no. 3–4 (November 2, 2014): 679–705.
Version: Original manuscript
ISSN
0178-8051
1432-2064