Search Results for author: Reese E. Jones

Found 5 papers, 0 papers with code

Uncertainty Quantification of Graph Convolution Neural Network Models of Evolving Processes

no code implementations17 Feb 2024 Jeremiah Hauth, Cosmin Safta, Xun Huan, Ravi G. Patel, Reese E. Jones

In this work we present comparisons of the parametric uncertainty quantification of neural networks modeling complex spatial-temporal processes with Hamiltonian Monte Carlo and Stein variational gradient descent and its projected variant.

Uncertainty Quantification Variational Inference

Accurate Data-Driven Surrogates of Dynamical Systems for Forward Propagation of Uncertainty

no code implementations16 Oct 2023 Saibal De, Reese E. Jones, Hemanth Kolla

Stochastic collocation (SC) is a well-known non-intrusive method of constructing surrogate models for uncertainty quantification.

Uncertainty Quantification

Extreme sparsification of physics-augmented neural networks for interpretable model discovery in mechanics

no code implementations5 Oct 2023 Jan N. Fuhg, Reese E. Jones, Nikolaos Bouklas

Data-driven constitutive modeling with neural networks has received increased interest in recent years due to its ability to easily incorporate physical and mechanistic constraints and to overcome the challenging and time-consuming task of formulating phenomenological constitutive laws that can accurately capture the observed material response.

Model Discovery

Stress representations for tensor basis neural networks: alternative formulations to Finger-Rivlin-Ericksen

no code implementations21 Aug 2023 Jan N. Fuhg, Nikolaos Bouklas, Reese E. Jones

Data-driven constitutive modeling frameworks based on neural networks and classical representation theorems have recently gained considerable attention due to their ability to easily incorporate constitutive constraints and their excellent generalization performance.

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