Transport type metrics on the space of probability measures involving singular base measures
DOI10.1007/s00245-022-09937-1zbMath1506.60007arXiv2201.00875OpenAlexW4221166264MaRDI QIDQ2682370
Publication date: 31 January 2023
Published in: Applied Mathematics and Optimization (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2201.00875
probability measuresgeneralized geodesics\(\nu\)-based Wasserstein metriclinearized optimal transport
Probability measures on topological spaces (60B05) Other game-theoretic models (91A40) Variational problems in applications to the theory of geodesics (problems in one independent variable) (58E10) Optimal transportation (49Q22)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Remarks on existence and uniqueness of Cournot-Nash equilibria in the non-potential case
- Contributions to the theory of convex bodies
- A convexity principle for interacting gases
- A linear optimal transportation framework for quantifying and visualizing variations in sets of images
- Optimal transport and barycenters for dendritic measures
- Variational problems involving unequal dimensional optimal transport
- Optimal transportation between unequal dimensions
- Optimal transport for applied mathematicians. Calculus of variations, PDEs, and modeling
- Optimal Transport and Cournot-Nash Equilibria
- From Nash to Cournot–Nash equilibria via the Monge–Kantorovich problem
- From Knothe's Transport to Brenier's Map and a Continuation Method for Optimal Transport
- Polar factorization and monotone rearrangement of vector‐valued functions
- Multi‐to One‐Dimensional Optimal Transport
- $C$-cyclical monotonicity as a sufficient criterion for optimality in the multimarginal Monge–Kantorovich problem
- Transition to nestedness in multi- to one-dimensional optimal transport
- Remarks on a Multivariate Transformation
- Optimal Transport
- Polar factorization of maps on Riemannian manifolds
This page was built for publication: Transport type metrics on the space of probability measures involving singular base measures
