no code implementations • 29 Sep 2022 • Reese Jones, Cosmin Safta, Ari Frankel
We develop a means of deep learning of hidden features on the reduced graph given the native discretization and a segmentation of the initial input field.
no code implementations • 4 Jun 2021 • Ari Frankel, Cosmin Safta, Coleman Alleman, Reese Jones
Predicting the evolution of a representative sample of a material with microstructure is a fundamental problem in homogenization.
no code implementations • 22 Dec 2020 • Mamikon Gulian, Ari Frankel, Laura Swiler
The framework may be applied to infer the solution of a well-posed boundary value problem with a known second-order differential operator and boundary conditions, but for which only scattered observations of the source term are available.
no code implementations • 16 Jun 2020 • Laura Swiler, Mamikon Gulian, Ari Frankel, Cosmin Safta, John Jakeman
Gaussian process regression is a popular Bayesian framework for surrogate modeling of expensive data sources.
no code implementations • 23 Dec 2019 • Ari Frankel, Reese Jones, Laura Swiler
Finally, we consider an approach that recovers the strain-energy density function and derives the stress tensor from this potential.