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Concentration of the information in data with log-concave distributions
Concentration entropy log-concave distributions
2011/2/28
A concentration property of the functional −log f(X) is demonstrated,when a random vector X has a log-concave density f on Rn.This concentration property implies in particular an extension of th...
On an Inequality of V. Csiszár and T.F. Móri for Concave Functions of Two Variables
Diaz-Metcalf inequality Hö lder's inequality Hadamard's inequality Petrović 's inequality Giaccardi's inequality
2008/6/27
V. Csiszár and T.F. Móri gave an extension of Diaz-Metcalf's inequality for concave functions. In this paper, we show its restatement. As its applications we first give a reverse inequality of Hö...
A branch and bound-PSO hybrid algorithm for solving integer separable concave programming problems
Integer programming separable concave programming
2010/9/15
A branch and bound-PSO hybrid algorithm for solving integer separable concave programming problems is proposed, in which the lower bound of the optimal value was determined by solving linear programmi...
Combed 3-Manifolds with Concave Boundary, Framed Links, and Pseudo-Legendrian Links
Combed 3-Manifolds with Concave Boundary Framed Links Pseudo-Legendrian Links
2010/11/1
We provide combinatorial realizations, according to the usual objects/moves scheme, of the following three topological categories: (1) pairs (M,v) where M is a 3-manifold (up to diffeomorphism) and v ...