Dr. Li wins award through 2023 Air Force Young Investigator Research Program
Dr. Li's project is on "Transport information geometric computations." YIP recipients are awarded $450,000 for three years.
The project develops new computational algorithms with theoretical guarantees for machine learning-induced scientific computations. It creates interactive studies among optimal transport, information geometry, and mean-field games, which construct parametric approximations of evolutionary partial differential equations. Furthermore, it introduces fast, efficient, and mathematical-safe variational schemes for computational fluid dynamics. Typical examples include linear, nonlinear Fokker- Planck equations and mean-field control problems. Besides, it also offers new models and efficient methods for studying a large number of population behaviors. In applications, it provides predictions on controlling pandemic evolutions and robotics path planning problems.