Mixed \(L^2\)-Wasserstein optimal mapping between prescribed density functions
From MaRDI portal
Publication:5956430
DOI10.1023/A:1011926116573zbMath1010.49029OpenAlexW158030646MaRDI QIDQ5956430
Jean-David Benamou, Yann Brenier
Publication date: 14 May 2003
Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1023/a:1011926116573
optimal controlconjugate gradient methodleast-square distanceMonge-Kantorovich mass transfer problemWasserstein distance
Lua error in Module:PublicationMSCList at line 37: attempt to index local 'msc_result' (a nil value).
Related Items (14)
The Monge–Kantorovitch mass transfer and its computational fluid mechanics formulation ⋮ A mixed finite element discretization of dynamical optimal transport ⋮ Interpolation inequalities in pattern formation ⋮ Minimization for conditional simulation: relationship to optimal transport ⋮ Augmented Lagrangian methods for transport optimization, mean field games and degenerate elliptic equations ⋮ Risk-sensitive mean-field-type games with \(L^p\)-norm drifts ⋮ Analysis of Regularized Kantorovich--Rubinstein Metric and Its Application to Inverse Gravity Problems ⋮ An interpolating distance between optimal transport and Fisher-Rao metrics ⋮ Kantorovich-Rubinstein metric based level-set methods for inverting modulus of gravity-force data ⋮ Optimal transport: discretization and algorithms ⋮ A monotonic method for nonlinear optimal control problems with concave dependence on the state ⋮ The fluid dynamic approach to equidistribution methods for grid adaptation ⋮ Numerical resolution of an “unbalanced” mass transport problem ⋮ Mathematical methods in medical image processing
Cites Work
- Ensuring well-posedness by analogy; Stokes problem and boundary control for the wave equation
- Numerical approximation of hyperbolic systems of conservation laws
- A computational fluid mechanics solution to the Monge-Kantorovich mass transfer problem
- Conjugate Gradient-Like Algorithms for Solving Nonsymmetric Linear Systems
This page was built for publication: Mixed \(L^2\)-Wasserstein optimal mapping between prescribed density functions
