Note on the optimal transportation of distributions
From MaRDI portal
Publication:1071292
DOI10.1007/BF00941290zbMath0586.49005OpenAlexW2043187469MaRDI QIDQ1071292
Publication date: 1987
Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf00941290
Monotone operators and generalizations (47H05) Operations with distributions and generalized functions (46F10) Methods involving semicontinuity and convergence; relaxation (49J45)
Related Items
A fixed-point approach to barycenters in Wasserstein space, Monge's problem with a quadratic cost by the zero-noise limit of \(h\)-path processes, Prescription of Gauss curvature using optimal mass transport, Optimal couplings are totally positive and more, Limit laws for empirical optimal solutions in random linear programs, Optimal transport maps on Alexandrov spaces revisited, The geometry of optimal transportation, Vector quantile regression beyond the specified case, Prescription of Gauss curvature on compact hyperbolic orbifolds, A glimpse into the differential topology and geometry of optimal transport, Remarks on Afriat's theorem and the Monge-Kantorovich problem, On a Formula for the L2 Wasserstein Metric between Measures on Euclidean and Hilbert Spaces, Kantorovich potentials and continuity of total cost for relativistic cost functions, The optimal mass transport problem for relativistic costs, Remarks on the Monge-Kantorovich problem in the discrete setting, Slopes of Kantorovich potentials and existence of optimal transport maps in metric measure spaces, Optimal mass transportation in the Heisenberg group., On Hoeffding-Fréchet bounds and cyclic monotone relations, Existence and uniqueness of optimal maps on Alexandrov spaces, Distribution-routes stability analysis of the transportation problem, A characterization for the solution of the Monge--Kantorovich mass transference problem, Existence of optimal transport maps for crystalline norms, Free boundaries in optimal transport and Monge-Ampère obstacle problems, Caractérisation d'une solution optimale au problème de Monge-Kantorovitch, A characterization of random variables with minimum \(L^ 2\)-distance, The Wasserstein gradient flow of the Fisher information and the quantum drift-diffusion equation, Optimal solution of a Monge-Kantorovitch transportation problem, Optimal transportation, topology and uniqueness, On a generalization of cyclic monotonicity and distances among random vectors
Cites Work
