The singularity set of optimal transportation maps
From MaRDI portal
Publication:2172352
DOI10.1134/S0965542522080097zbMath1497.49056MaRDI QIDQ2172352
Xianfeng Gu, Wei Chen, Tong Zhao, Na Lei, Yang Guo, Jiakun Liu, Zhong-xuan Luo
Publication date: 15 September 2022
Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)
curvaturepower diagramconvex hullupper envelopeobliquenesssecondary polytopeweighted Delaunay triangulationnormal Fréсhet distance
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Variational principles for Minkowski type problems, discrete optimal transport, and discrete Monge-Ampère equations
- Partial \(W^{2,p}\) regularity for optimal transport maps
- A geometric view of optimal transportation and generative model
- Construction of three-dimensional Delaunay triangulations using local transformations
- Triangulations. Structures for algorithms and applications
- Secondary polytope and secondary power diagram
- Regularity Properties of Optimal Maps Between Nonconvex Domains in the Plane
- Polar factorization and monotone rearrangement of vector‐valued functions
- Power Diagrams: Properties, Algorithms and Applications
- On discontinuity of planar optimal transport maps
This page was built for publication: The singularity set of optimal transportation maps