Neural Stochastic PDEs: Resolution-Invariant Learning of Continuous Spatiotemporal Dynamics

1 code implementation • 19 Oct 2021 • Cristopher Salvi, Maud Lemercier, Andris Gerasimovics

On the other hand, it extends Neural Operators -- generalizations of neural networks to model mappings between spaces of functions -- in that it can parameterize solution operators of SPDEs depending simultaneously on the initial condition and a realization of the driving noise.

Feature Engineering with Regularity Structures

1 code implementation • 12 Aug 2021 • Ilya Chevyrev, Andris Gerasimovics, Hendrik Weber

We apply these algorithms in several numerical experiments designed to learn solutions to PDEs with a given forcing and boundary data.

Feature Engineering