Special Session 73: Data-driven methods in dynamical systems

Scalable Multi-Species Agent-Based Modeling with Sparse GP

Charles Kulick
University of California, Santa Barbara
USA
Co-Author(s):    Sui Tang
Abstract:
We approach the data-driven learning problem for a general second order ODE agent-based system with multiple species. By modeling with interaction kernels, we can use a Gaussian Process approach to learn a nonparametric model for the dynamical system with built-in uncertainty quantification. In this talk, we develop the modeling system, present theoretical analysis on the learning methodology, and present empirical investigations into scalability and practicality using a biological predator-prey model.