77 citations · 127 across the 9 of their papers we have counts for
4 papers · 1 filter
Neuro-symbolic partial differential equation solver
Pouria Mistani, Samira Pakravan, Rajesh Ilango +2
We present a highly scalable strategy for developing mesh-free neuro-symbolic partial differential equation solvers from existing numerical discretizations found in scientific comp…
JAX-DIPS: Neural bootstrapping of finite discretization methods and application to elliptic problems with discontinuities
Pouria Mistani, Samira Pakravan, Rajesh Ilango +1
We present a scalable strategy for development of mesh-free hybrid neuro-symbolic partial differential equation solvers based on existing mesh-based numerical discretization method…
Machine learning algorithms for three-dimensional mean-curvature computation in the level-set method
Luis Ángel Larios-Cárdenas, Frédéric Gibou
We propose a data-driven mean-curvature solver for the level-set method. This work is the natural extension to of our two-dimensional strategy in [DOI: 10.1007/s1091…
Error-Correcting Neural Networks for Two-Dimensional Curvature Computation in the Level-Set Method
Luis Ángel Larios-Cárdenas, Frédéric Gibou
We present an error-neural-modeling-based strategy for approximating two-dimensional curvature in the level-set method. Our main contribution is a redesigned hybrid solver [Larios-…