Search Results for author: Kevin Linka

Found 5 papers, 1 papers with code

On sparse regression, Lp-regularization, and automated model discovery

no code implementations9 Oct 2023 Jeremy A. McCulloch, Skyler R. St. Pierre, Kevin Linka, Ellen Kuhl

With these insights, we demonstrate that Lp regularized constitutive neural networks can simultaneously discover both, interpretable models and physically meaningful parameters.

L2 Regularization Model Discovery +2

A new family of Constitutive Artificial Neural Networks towards automated model discovery

2 code implementations15 Sep 2022 Kevin Linka, Ellen Kuhl

For more than 100 years, chemical, physical, and material scientists have proposed competing constitutive models to best characterize the behavior of natural and man-made materials in response to mechanical loading.

Model Discovery Model Selection

Bayesian Physics-Informed Neural Networks for real-world nonlinear dynamical systems

no code implementations12 May 2022 Kevin Linka, Amelie Schafer, Xuhui Meng, Zongren Zou, George Em Karniadakis, Ellen Kuhl

Our study reveals the inherent advantages and disadvantages of Neural Networks, Bayesian Inference, and a combination of both and provides valuable guidelines for model selection.

Bayesian Inference Model Selection +1

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