Shihao Yang

Inference of dynamic systems from noisy and sparse data via manifold-constrained Gaussian processes

2021 · Proceedings of the National Academy of Sciences

Significance Ordinary differential equations are a ubiquitous tool for modeling behaviors in science, such as gene regulation, biological rhythms, epidemics, and ecology. An important problem is to infer and characterize the uncertainty of parameters that …

MAGI-X: Manifold-Constrained Gaussian Process Inference for Unknown System Dynamics

2021 · arXiv (Cornell University)

Ordinary differential equations (ODEs), commonly used to characterize the dynamic systems, are difficult to propose in closed-form for many complicated scientific applications, even with the help of domain expert. We propose a fast and accurate …