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Shadowing, expansiveness and stability of divergence-free vector fields
divergence-free vector fields math
2010/11/22
Let X be a divergence-free vector field defined on a closed, connected Riemannian manifold. In this paper, we show the equivalence between the following conditions:
1. X is in the C1-interior of th...
Free energy computations by minimization of Kullback-Leibler divergence: an efficient adaptive biasing potential method for sparse representations
Free energy Kullback-Leibler divergence
2010/11/17
The present paper proposes an adaptive biasing potential for the computation of free energy landscapes. It is motivated by statistical learning arguments and unifies the tasks of biasing the molecula...
Bounds for Entropy and Divergence for Distributions over a Two-Element Set
Entropy divergence Pinsker's inequality
2008/7/2
Three results dealing with probability distributions (p,q) over a two-element set are presented. The two first give bounds for the entropy function H(p,q) and are referred to as the logarithmic and th...
On A Symmetric Divergence Measure and Information Inequalities
Divergence measure Csiszár's $f$-divergence Parametric measure Non-parametric measure Mutual information Information inequalities
2008/6/27
A non-parametric symmetric measure of divergence which belongs to the family of Csiszár's f-divergences is proposed. Its properties are studied and bounds in terms of some well known divergence measur...