Results 51 to 60 of about 2,509,053 (235)
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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Robust Estimation under the Wasserstein Distance [PDF]
arXiv.org, 2023 We study the problem of robust distribution estimation under the Wasserstein distance, a popular discrepancy measure between probability distributions rooted in optimal transport (OT) theory. Given $n$ samples from an unknown distribution $\mu$, of which
Sloan Nietert +2 more
semanticscholar +1 more source
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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Monotonicity of a quantum 2-Wasserstein distance [PDF]
Journal of Physics A: Mathematical and Theoretical, 2022 We study a quantum analogue of the 2-Wasserstein distance as a measure of proximity on the set ΩN of density matrices of dimension N. We show that such (semi-)distances do not induce Riemannian metrics on the tangent bundle of ΩN and are typically not ...
Rafał Bistroń +2 more
semanticscholar +1 more source
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
core +4 more sources
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
doaj +1 more source
Approximate Bayesian computation with the Wasserstein distance [PDF]
Journal of the Royal Statistical Society: Series B (Statistical Methodology), 2019 A growing number of generative statistical models do not permit the numerical evaluation of their likelihood functions. Approximate Bayesian computation has become a popular approach to overcome this issue, in which one simulates synthetic data sets ...
Espen Bernton +3 more
semanticscholar +1 more source
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
doaj +1 more source
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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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
core +4 more sources