Search Results for author: Paula Chen

Found 3 papers, 1 papers with code

Leveraging viscous Hamilton-Jacobi PDEs for uncertainty quantification in scientific machine learning

no code implementations12 Apr 2024 Zongren Zou, Tingwei Meng, Paula Chen, Jérôme Darbon, George Em Karniadakis

We provide several examples from SciML involving noisy data and \textit{epistemic uncertainty} to illustrate the potential advantages of our approach.

Bayesian Inference Uncertainty Quantification

Leveraging Hamilton-Jacobi PDEs with time-dependent Hamiltonians for continual scientific machine learning

no code implementations13 Nov 2023 Paula Chen, Tingwei Meng, Zongren Zou, Jérôme Darbon, George Em Karniadakis

This connection allows us to reinterpret incremental updates to learned models as the evolution of an associated HJ PDE and optimal control problem in time, where all of the previous information is intrinsically encoded in the solution to the HJ PDE.

Computational Efficiency Continual Learning

Leveraging Multi-time Hamilton-Jacobi PDEs for Certain Scientific Machine Learning Problems

1 code implementation22 Mar 2023 Paula Chen, Tingwei Meng, Zongren Zou, Jérôme Darbon, George Em Karniadakis

Hamilton-Jacobi partial differential equations (HJ PDEs) have deep connections with a wide range of fields, including optimal control, differential games, and imaging sciences.

Continual Learning Transfer Learning

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