We introduce a new class of distances between nonnegative Radon measures on the euclidean space. They are modeled on the dynamical characterization of the Kantorovich-Rubinstein-Wasserstein distances proposed by Benamou and Brenier and provide a wide family interpolating between Wasserstein and homogeneous Sobolev distances. From the point of view ...
Published in Biomedical Microdevices
Methods involving microfluidics have been used in several chemical, biological and medical applications. In particular, a network of bifurcating microchannels can be used to distribute flow in a large space. In this work, we carried out experiments to determine hydrodynamic characteristics of bifurcating microfluidic networks. We measured pressure ...
This work proposes to compare the spatial organization of colors between images through a global optimization procedure relying on the Earth Mover's Distance. The resulting distance is applied to image retrieval. Unlike most region-based retrieval systems, no segmentation of images is needed for the query. We then address the decision stage of the ...
We investigate here the optimal transportation problem on configuration space for the quadratic cost. It is shown that, as usual, provided that the corresponding Wasserstein is finite, there exists one unique optimal measure and that this measure is supported by the graph of the derivative (in the sense of the Malliavin calculus) of a ''concave'' (...
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©2003 Society for Industrial and Applied Mathematics. Permalink: http://dx.doi.org/10.1137/S0036141002410927 / DOI: 10.1137/S0036141002410927 / In this work, we formulate a new minimizing flow for the optimal mass transport (Monge–Kantorovich) problem. We study certain properties of the flow, including weak solutions as well as short- and long-term...
