Neural Operators

Departmental seminar: Peridynamics for Solids and Granular Media: From Fracture to Computational Frameworks
Departmental seminar: Peridynamics for Solids and Granular Media: From Fracture to Computational Frameworks

This talk will present recent work on the fracture of solids and granular media using the peridynamics theory of fracture.

Sep 4, 2025

Workshop invited talk: Reliable Neural Operators: Error Control through Residual Correction and Beyond
Workshop invited talk: Reliable Neural Operators: Error Control through Residual Correction and Beyond

Reliable Neural Operators: Error Control through Residual Correction and Beyond

Jun 24, 2025

neural_operator
neural_operator

Core python scripts and notebooks implementing and testing neural operators

Mar 8, 2025

From Theory to Application: A Practical Introduction to Neural Operators in Scientific Computing

Mar 7, 2025

Neural Networks to Accelerate Scientific Computing
Neural Networks to Accelerate Scientific Computing

Development and application of neural networks to accelerate scientific computing in areas of mechanistic simulation, parameter estimation, model selection, and optimization of materials and structures.

Jan 1, 2025

Residual-based error corrector operator to enhance accuracy and reliability of neural operator surrogates of nonlinear variational boundary-value problems

Topology optimization of the diffusivity field in a nonlinear diffusion model. Neural operator and neural operator with corrector employed as a surrogate of the forward model. Comparing the optimizers of the topology optimization problem for different cases (1) true forward model, (2) neural operator surrogate of the forward model, and (3) neural operator with corrector.

Jun 21, 2023

Residual-Based Error Correction for Neural Operator Accelerated Infinite-Dimensional Bayesian Inverse Problems

Residual-based error corrector technique is proposed and applied to improve the neural operator predictions for Bayesian inference problems.

Mar 31, 2023