A relaxation viewpoint to unbalanced optimal transport: duality, optimality and Monge formulation
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Publication:6573741
DOI10.1016/j.matpur.2024.05.009zbMath1545.49047MaRDI QIDQ6573741
Giacomo E. Sodini, Giuseppe Savaré
Publication date: 17 July 2024
Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)
optimality conditionsdualityunbalanced optimal transportGaussian Hellinger-Kantorovich metricMonge and Kantorovich problems
Methods involving semicontinuity and convergence; relaxation (49J45) Spaces of measures, convergence of measures (28A33) Optimality conditions for problems in abstract spaces (49K27) Optimal transportation (49Q22)
Cites Work
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- On properties of the generalized Wasserstein distance
- On the twist condition and \(c\)-monotone transport plans
- The optimal partial transport problem
- On the equality between Monge's infimum and Kantorovich's minimum in optimal mass transportation
- Free boundaries in optimal transport and Monge-Ampère obstacle problems
- On optimality of \(c\)-cyclically monotone transference plans
- A new transportation distance between non-negative measures, with applications to gradients flows with Dirichlet boundary conditions
- Optimal and better transport plans
- A new optimal transport distance on the space of finite Radon measures
- Optimal entropy-transport problems and a new Hellinger-Kantorovich distance between positive measures
- An interpolating distance between optimal transport and Fisher-Rao metrics
- Unbalanced optimal transport: dynamic and Kantorovich formulations
- Geometric properties of cones with applications on the Hellinger-Kantorovich space, and a new distance on the space of probability measures
- A computational fluid mechanics solution to the Monge-Kantorovich mass transfer problem
- Entropy-transport distances between unbalanced metric measure spaces
- Optimal transport for applied mathematicians. Calculus of variations, PDEs, and modeling
- Generalized Wasserstein distance and its application to transport equations with source
- Optimal Transport in Competition with Reaction: The Hellinger--Kantorovich Distance and Geodesic Curves
- Eulerian models and algorithms for unbalanced optimal transport
- A generalized model for optimal transport of images including dissipation and density modulation
- Kantorovich-Rubinstein Norm and Its Application in the Theory of Lipschitz Spaces
- Numerical resolution of an “unbalanced” mass transport problem
- Metric Properties of Homogeneous and Spatially Inhomogeneous $F$ -Divergences
- Optimal Transport
- Fine properties of geodesics and geodesic \(\lambda\)-convexity for the Hellinger-Kantorovich distance
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