Displaying similar documents to “Gradient Flows in Metric Spaces and in the Spaces of Probability Measures, and Applications to Fokker-Planck Equations with Respect to Log-Concave Measures”

On physical measures for Cherry flows

Liviana Palmisano (2016)

Fundamenta Mathematicae

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Studies of the physical measures for Cherry flows were initiated in Saghin and Vargas (2013). While the non-positive divergence case was resolved, the positive divergence case still lacked a complete description. Some conjectures were put forward. In this paper we make a contribution in this direction. Namely, under mild technical assumptions we solve some conjectures stated in Saghin and Vargas (2013) by providing a description of the physical measures for Cherry flows in the positive...

The product-decomposability of probability measures on Abelian metrizable groups

Krakowiak Wiesław

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Introduction.............................................................5I. Preliminaries.........................................................6   1.1. Semigroups........................................7   1.2. Algebraic groups..................................7   1.3. Additive operators in Abelian groups and linear operators in linear spaces................................8   1.4. Abelian metrizable groups........................10   1.5. Locally compact Abelian groups...................13   1.6....

Effect of choice of dissimilarity measure on classification efficiency with nearest neighbor method

Tomasz Górecki (2005)

Discussiones Mathematicae Probability and Statistics

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In this paper we will precisely analyze the nearest neighbor method for different dissimilarity measures, classical and weighed, for which methods of distinguishing were worked out. We will propose looking for weights in the space of discriminant coordinates. Experimental results based on a number of real data sets are presented and analyzed to illustrate the benefits of the proposed methods. As classical dissimilarity measures we will use the Euclidean metric, Manhattan and post office...

On the order equivalence relation of binary association measures

Mariusz Paradowski (2015)

International Journal of Applied Mathematics and Computer Science

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Over a century of research has resulted in a set of more than a hundred binary association measures. Many of them share similar properties. An overview of binary association measures is presented, focused on their order equivalences. Association measures are grouped according to their relations. Transformations between these measures are shown, both formally and visually. A generalization coefficient is proposed, based on joint probability and marginal probabilities. Combining association...

On uniqueness of G-measures and g-measures

Ai Fan (1996)

Studia Mathematica

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We give a simple proof of the sufficiency of a log-lipschitzian condition for the uniqueness of G-measures and g-measures which were studied by G. Brown, A. H. Dooley and M. Keane. In the opposite direction, we show that the lipschitzian condition together with positivity is not sufficient. In the special case where the defining function depends only upon two coordinates, we find a necessary and sufficient condition. The special case of Riesz products is discussed and the Hausdorff dimension...

Region of interest contrast measures

Václav Remeš, Michal Haindl (2018)

Kybernetika

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A survey of local image contrast measures is presented and a new contrast measure for measuring the local contrast of regions of interest is proposed. The measures validation is based on the gradual objective contrast decreasing on medical test images in both grayscale and color. The performance of the eleven most frequented contrast measures is mutually compared and their robustness to different types of image degradation is analyzed. Since the contrast measures can be both global,...