Dynamic models of Wasserstein-1-type unbalanced transport
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Publication:5107926
DOI10.1051/cocv/2018017OpenAlexW2963793487MaRDI QIDQ5107926
Bernhard Schmitzer, Benedikt Wirth
Publication date: 29 April 2020
Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1705.04535
Convex programming (90C25) Dynamical systems in optimization and economics (37N40) Optimality conditions for problems involving ordinary differential equations (49K15)
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A superposition principle for the inhomogeneous continuity equation with Hellinger–Kantorovich-regular coefficients ⋮ Homogenisation of dynamical optimal transport on periodic graphs ⋮ A generalized conditional gradient method for dynamic inverse problems with optimal transport regularization ⋮ Multilevel Optimal Transport: A Fast Approximation of Wasserstein-1 Distances ⋮ Duality in branched transport and urban planning
Cites Work
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- On properties of the generalized Wasserstein distance
- Free boundaries in optimal transport and Monge-Ampère obstacle problems
- Optimal transportation and applications. Lectures given at the C. I. M. E. summer school, Martina Franca, Italy, September 2--8, 2001
- 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
- A computational fluid mechanics solution to the Monge-Kantorovich mass transfer problem
- Optimal transport for applied mathematicians. Calculus of variations, PDEs, and modeling
- Generalized Wasserstein distance and its application to transport equations with source
- Duality and stability in extremum problems involving convex functions
- Integrals which are convex functionals. II
- Numerical resolution of an “unbalanced” mass transport problem
- A Framework for Wasserstein-1-Type Metrics
- Imaging with Kantorovich--Rubinstein Discrepancy
- Transport Based Image Morphing with Intensity Modulation
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