Matrix Lie Maps and Neural Networks for Solving Differential Equations

1 code implementation • 16 Aug 2019 • Andrei Ivanov, Sergei Andrianov

The weights of the network can be directly calculated from the equation.

Lie Transform--based Neural Networks for Dynamics Simulation and Learning

no code implementations • 5 Feb 2018 • Andrei Ivanov, Alena Sholokhova, Sergei Andrianov, Roman Konoplev-Esgenburg

We also demonstrate an interpretation of the fitted neural network by converting it to a system of differential equations.

Small Data Image Classification Time Series Analysis