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CORR
2006
Springer
77views Education» more  CORR 2006»
13 years 5 months ago
Generalized Entropy Power Inequalities and Monotonicity Properties of Information
New families of Fisher information and entropy power inequalities for sums of independent random variables are presented. These inequalities relate the information in the sum of n ...
Mokshay M. Madiman, Andrew R. Barron
CORR
2007
Springer
105views Education» more  CORR 2007»
13 years 5 months ago
A Simple Proof of the Entropy-Power Inequality via Properties of Mutual Information
— While most useful information theoretic inequalities can be deduced from the basic properties of entropy or mutual information, Shannon’s entropy power inequality (EPI) seems...
Olivier Rioul
STACS
2005
Springer
13 years 10 months ago
Information Theory in Property Testing and Monotonicity Testing in Higher Dimension
In property testing, we are given oracle access to a function f, and we wish to test if the function satisfies a given property P, or it is ε-far from having that property. In a...
Nir Ailon, Bernard Chazelle
SODA
2010
ACM
157views Algorithms» more  SODA 2010»
14 years 2 months ago
Testing monotone high-dimensional distributions
A monotone distribution P over a (partially) ordered domain assigns higher probability to y than to x if y x in the order. We study several natural problems concerning testing pr...
Ronitt Rubinfeld, Rocco A. Servedio
COCO
2004
Springer
95views Algorithms» more  COCO 2004»
13 years 10 months ago
Consequences and Limits of Nonlocal Strategies
This paper investigates the powers and limitations of quantum entanglement in the context of cooperative games of incomplete information. We give several examples of such nonlocal...
Richard Cleve, Peter Høyer, Benjamin Toner,...