Results 31 to 40 of about 32,144 (182)
Tropical optimal transport and Wasserstein distances [PDF]
Information Geometry, 2021 AbstractWe study the problem of optimal transport in tropical geometry and define the Wasserstein-p distances in the continuous metric measure space setting of the tropical projective torus. We specify the tropical metric—a combinatorial metric that has been used to study of the tropical geometric space of phylogenetic trees—as the ground metric and ...
Wonjun Lee +3 more
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Gradient flow formulation of diffusion equations in the Wasserstein space over a Metric graph
Networks and Heterogeneous Media, 2022 This paper contains two contributions in the study of optimal transport on metric graphs. Firstly, we prove a Benamou–Brenier formula for the Wasserstein distance, which establishes the equivalence of static and dynamical optimal transport.
Matthias Erbar +3 more
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Graph Diffusion Wasserstein Distances [PDF]
, 2021 Optimal Transport (OT) for structured data has received much attention in the machine learning community, especially for addressing graph classification or graph transfer learning tasks. In this paper, we present the Diffusion Wasserstein (DW) distance, as a generalization of the standard Wasserstein distance to undirected and connected graphs where ...
Barbe, Amélie +4 more
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Optimal transport bounds between the time-marginals of a multidimensional diffusion and its Euler scheme [PDF]
, 2015 In this paper, we prove that the time supremum of the Wasserstein distance between the time-marginals of a uniformly elliptic multidimensional diffusion with coefficients bounded together with their derivatives up to the order $2$ in the spatial ...
Alfonsi, Aurélien +2 more
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Ensemble Riemannian data assimilation over the Wasserstein space [PDF]
Nonlinear Processes in Geophysics, 2021 In this paper, we present an ensemble data assimilation paradigm over a Riemannian manifold equipped with the Wasserstein metric. Unlike the Euclidean distance used in classic data assimilation methodologies, the Wasserstein metric can capture the ...
S. K. Tamang +6 more
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Convergence to Equilibrium in Wasserstein distance for damped Euler equations with interaction forces [PDF]
, 2018 We develop tools to construct Lyapunov functionals on the space of probability measures in order to investigate the convergence to global equilibrium of a damped Euler system under the influence of external and interaction potential forces with respect ...
Carrillo, José A. +2 more
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Detecting changes in forced climate attractors with Wasserstein distance [PDF]
Nonlinear Processes in Geophysics, 2017 The climate system can been described by a dynamical system and its associated attractor. The dynamics of this attractor depends on the external forcings that influence the climate.
Y. Robin, P. Yiou, P. Naveau
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Wasserstein Distance on Configuration Space [PDF]
Potential Analysis, 2008 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'' (in a
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Clustering Market Regimes Using the Wasserstein Distance [PDF]
SSRN Electronic Journal, 2021 37 pages, 40 ...
Horvath, Blanka +2 more
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Target detection based on generalized Bures–Wasserstein distance
EURASIP Journal on Advances in Signal Processing, 2023 Radar target detection with fewer echo pulses in non-Gaussian clutter background is a challenging problem. In this instance, the conventional detectors using coherent accumulation are not very satisfactory.
Zhizhong Huang, Lin Zheng
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