3 papers
math-ph2024
Solving Unbalanced Optimal Transport on Point Cloud by Tangent Radial Basis Function Method
Jiangong Pan, Wei Wan, Chenlong Bao +1
In this paper, we solve unbalanced optimal transport (UOT) problem on surfaces represented by point clouds. Based on alternating direction method of multipliers algorithm, the orig…
math.OC2024
A Neural Network Framework for High-Dimensional Dynamic Unbalanced Optimal Transport
Wei Wan, Jiangong Pan, Yuejin Zhang +2
In this paper, we introduce a neural network-based method to address the high-dimensional dynamic unbalanced optimal transport (UOT) problem. Dynamic UOT focuses on the optimal tra…
math-ph2024
A network based approach for unbalanced optimal transport on surfaces
Jiangong Pan, Wei Wan, Yuejin Zhang +2
In this paper, we present a neural network approach to address the dynamic unbalanced optimal transport problem on surfaces with point cloud representation. For surfaces with point…