Learning High-Dimensional Nonparametric Differential Equations via Multivariate Occupation Kernel Functions

no code implementations • 16 Jun 2023 • Victor Rielly, Kamel Lahouel, Ethan Lew, Michael Wells, Vicky Haney, Bruno Jedynak

Learning a nonparametric system of ordinary differential equations (ODEs) from $n$ trajectory snapshots in a $d$-dimensional state space requires learning $d$ functions of $d$ variables.

Learning nonparametric ordinary differential equations from noisy data

no code implementations • 30 Jun 2022 • Kamel Lahouel, Michael Wells, Victor Rielly, Ethan Lew, David Lovitz, Bruno M. Jedynak

Learning nonparametric systems of Ordinary Differential Equations (ODEs) dot x = f(t, x) from noisy data is an emerging machine learning topic.