A Framework for Wasserstein-1-Type Metrics
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Publication:4967839
zbMath1426.49032arXiv1701.01945MaRDI QIDQ4967839
Benedikt Wirth, Bernhard Schmitzer
Publication date: 11 July 2019
Full work available at URL: https://arxiv.org/abs/1701.01945
convex optimizationdiscrepancyconvex dualityWasserstein metricsminimum-cost flowunbalanced optimal transportKantorovich-Rubinstein formula
Numerical methods involving duality (49M29) Numerical optimization and variational techniques (65K10) Transportation, logistics and supply chain management (90B06) Trade models (91B60)
Related Items (9)
Explicit expressions and computational methods for the Fortet-Mourier distance of positive measures to finite weighted sums of Dirac measures ⋮ Dynamic models of Wasserstein-1-type unbalanced transport ⋮ Analysis of Regularized Kantorovich--Rubinstein Metric and Its Application to Inverse Gravity Problems ⋮ Norming and dense sets of extreme points of the unit ball in spaces of bounded Lipschitz functions ⋮ Semi-discrete optimal transport: a solution procedure for the unsquared Euclidean distance case ⋮ Multilevel Optimal Transport: A Fast Approximation of Wasserstein-1 Distances ⋮ Kantorovich-Rubinstein distance and barycenter for finitely supported measures: foundations and algorithms ⋮ Formulation and properties of a divergence used to compare probability measures without absolute continuity ⋮ The Linearized Hellinger--Kantorovich Distance
Uses Software
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