4 papers
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…
Derivative estimation by RKHS regularization for learning dynamics from time-series data
Hailong Guo, Haibo Li
Learning the governing equations from time-series data has gained increasing attention due to its potential to extract useful dynamics from real-world data. Despite significant pro…
Gradient enhanced ADMM Algorithm for dynamic optimal transport on surfaces
Guozhi Dong, Hailong Guo, Chengrun Jiang +1
A gradient enhanced ADMM algorithm for optimal transport on general surfaces is proposed in this paper. Based on Benamou and Brenier's dynamical formulation, we combine gradient re…
Accelerated gradient flows for large bending deformations of nonlinear plates
Guozhi Dong, Hailong Guo, Shuo Yang
In this paper, we propose novel algorithms integrated projection-free techniques with accelerated gradient flows to minimize bending energies for nonlinear plates with non-convex m…