Bayesian Deep Learning for Partial Differential Equation Parameter
Discovery with Sparse and Noisy Data

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Bayesian Deep Learning for Partial Differential Equation Parameter Discovery with Sparse and Noisy Data

5 August 2021

Christophe Bonneville

Christopher Earls

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Papers citing "Bayesian Deep Learning for Partial Differential Equation Parameter Discovery with Sparse and Noisy Data"

9 / 9 papers shown

Title
A Comprehensive Review of Latent Space Dynamics Identification Algorithms for Intrusive and Non-Intrusive Reduced-Order-Modeling Christophe Bonneville Xiaolong He April Tran Jun Sur Richard Park William D. Fries ... David M. Bortz Debojyoti Ghosh Jiun-Shyan Chen Jonathan Belof Youngsoo Choi AI4CE 88 9 0 16 Mar 2024
Data-Driven Autoencoder Numerical Solver with Uncertainty Quantification for Fast Physical Simulations Christophe Bonneville Youngsoo Choi Debojyoti Ghosh Jonathan Belof AI4CE 20 1 0 02 Dec 2023
Physics-constrained robust learning of open-form partial differential equations from limited and noisy data Mengge Du Yuntian Chen Longfeng Nie Siyu Lou Dong-juan Zhang AI4CE 83 8 0 14 Sep 2023
Weak-PDE-LEARN: A Weak Form Based Approach to Discovering PDEs From Noisy, Limited Data R. Stephany Christopher Earls 59 4 0 09 Sep 2023
Bayesian Reasoning for Physics Informed Neural Networks K. Graczyk Kornel Witkowski 87 0 0 25 Aug 2023
GPLaSDI: Gaussian Process-based Interpretable Latent Space Dynamics Identification through Deep Autoencoder Christophe Bonneville Youngsoo Choi Debojyoti Ghosh Jonathan Belof AI4CE 67 21 0 10 Aug 2023
Discovering stochastic partial differential equations from limited data using variational Bayes inference Yogesh Chandrakant Mathpati Tapas Tripura R. Nayek S. Chakraborty DiffM 56 6 0 28 Jun 2023
PDE-LEARN: Using Deep Learning to Discover Partial Differential Equations from Noisy, Limited Data R. Stephany Christopher Earls 44 18 0 09 Dec 2022
PDE-READ: Human-readable Partial Differential Equation Discovery using Deep Learning R. Stephany Christopher Earls DiffM AIMat 87 29 0 01 Nov 2021