Remarks on the Monge-Kantorovich problem in the discrete setting
From MaRDI portal
Publication:1701508
DOI10.1016/j.crma.2017.12.008zbMath1384.49037OpenAlexW2781898290MaRDI QIDQ1701508
Publication date: 26 February 2018
Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.crma.2017.12.008
Variational problems in a geometric measure-theoretic setting (49Q20) Linear optimal control problems (49N05)
Related Items (11)
Euclidean random matching in 2D for non-constant densities ⋮ A fast solver for generalized optimal transport problems based on dynamical system and algebraic multigrid ⋮ Curvatures, graph products and Ricci flatness ⋮ Some of my favorite open problems ⋮ Quantum optimal transport is cheaper ⋮ Distances between classes in \(W^{1,1}(\Omega ;{\mathbb {S}}^{1})\) ⋮ Optimal transportation between unequal dimensions ⋮ Coupling matrix manifolds assisted optimization for optimal transport problems ⋮ The Plateau problem from the perspective of optimal transport ⋮ Intrinsic sparsity of Kantorovich solutions ⋮ Optimal transport pseudometrics for quantum and classical densities
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Long history of the Monge-Kantorovich transportation problem
- Functional analysis, Sobolev spaces and partial differential equations
- Note on the optimal transportation of distributions
- Harmonic maps with defects
- A necessary and sufficient condition for rationalizability in a quasilinear context
- On Hoeffding-Fréchet bounds and cyclic monotone relations
- On a generalization of cyclic monotonicity and distances among random vectors
- The geometry of optimal transportation
- Mass transportation problems. Vol. 1: Theory. Vol. 2: Applications
- \(H^{1/2}\) maps with values into the circle: minimal connections, lifting, and the Ginzburg-Landau equation
- On \(c\)-optimal random variables
- Optimal transport for applied mathematicians. Calculus of variations, PDEs, and modeling
- On the vertices of the \(d\)-dimensional Birkhoff polytope
- Characterization of the subdifferentials of convex functions
- On mass transportation
- On a problem of Monge
- Differential equations methods for the Monge-Kantorovich mass transfer problem
- Ginzburg-Landau minimizers from R^{n+1} to R^n and minimal connections
- The Monge-Kantorovich problem: achievements, connections, and perspectives
- Cyclical monotonicity and the ergodic theorem
- Five lectures on optimal transportation: Geometry, regularity and applications
- Some remarks on the infinite-dimensional problems of linear programming
- Optimal Transport
This page was built for publication: Remarks on the Monge-Kantorovich problem in the discrete setting