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AMC
2011
13 years 5 months ago
Variational theory and domain decomposition for nonlocal problems
In this article we present the first results on domain decomposition methods for nonlocal operators. We present a nonlocal variational formulation for these operators and establi...
Burak Aksoylu, Michael L. Parks
NIPS
2000
13 years 11 months ago
On Reversing Jensen's Inequality
Jensen's inequality is a powerful mathematical tool and one of the workhorses in statistical learning. Its applications therein include the EM algorithm, Bayesian estimation ...
Tony Jebara, Alex Pentland
ADCM
2010
59views more  ADCM 2010»
13 years 10 months ago
Sampling inequalities for infinitely smooth functions, with applications to interpolation and machine learning
Sampling inequalities give a precise formulation of the fact that a differentiable function cannot attain large values, if its derivatives are bounded and if it is small on a suff...
Christian Rieger, Barbara Zwicknagl
CORR
2007
Springer
105views Education» more  CORR 2007»
13 years 10 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
PAMI
2007
129views more  PAMI 2007»
13 years 9 months ago
Algorithmic Differentiation: Application to Variational Problems in Computer Vision
Abstract— Many vision problems can be formulated as minimization of appropriate energy functionals. These energy functionals are usually minimized, based on the calculus of varia...
Thomas Pock, Michael Pock, Horst Bischof