3 papers
math.NA2025
When surface evolution meets Fokker-Planck equation: a novel tangential velocity model for uniform parametrization
Jiangong Pan, Guozhi Dong, Hailong Guo +1
A common issue in simulating geometric evolution of surfaces is unexpected clustering of points that may cause numerical instability. We propose a novel artificial tangential veloc…
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…