A Framework for Machine Learning of Model Error in Dynamical Systems

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A Framework for Machine Learning of Model Error in Dynamical Systems

14 July 2021

Matthew E. Levine

Andrew M. Stuart

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Papers citing "A Framework for Machine Learning of Model Error in Dynamical Systems"

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Title
Context parroting: A simple but tough-to-beat baseline for foundation models in scientific machine learning Yuanzhao Zhang William Gilpin AI4TS 74 0 0 16 May 2025
How more data can hurt: Instability and regularization in next-generation reservoir computing Yuanzhao Zhang Edmilson Roque dos Santos Sean P. Cornelius 153 2 0 28 Jan 2025
Structural Constraints for Physics-augmented Learning Simon Kuang Xinfan Lin PINN 52 0 0 07 Oct 2024
Zero-shot forecasting of chaotic systems Yuanzhao Zhang William Gilpin AI4TS 258 8 0 24 Sep 2024
Beyond Closure Models: Learning Chaotic-Systems via Physics-Informed Neural Operators Chuwei Wang Julius Berner Zongyi Li Di Zhou Jiayun Wang Jane Bae Anima Anandkumar AI4CE 80 3 0 09 Aug 2024
On the choice of the non-trainable internal weights in random feature maps Pinak Mandal Georg Gottwald Nicholas Cranch TPM 80 1 0 07 Aug 2024
Learning Optimal Filters Using Variational Inference Enoch Luk Eviatar Bach Ricardo Baptista Andrew Stuart 84 7 0 26 Jun 2024
Learning About Structural Errors in Models of Complex Dynamical Systems Jin-Long Wu Matthew E. Levine Tapio Schneider Andrew M. Stuart AI4CE 82 18 0 29 Dec 2023
Hybrid Modeling Design Patterns Maja Rudolph Stefan Kurz Barbara Rakitsch AI4CE 85 9 0 29 Dec 2023
Reduced-Order Autodifferentiable Ensemble Kalman Filters Yuming Chen D. Sanz-Alonso Rebecca Willett 66 10 0 27 Jan 2023
Catch-22s of reservoir computing Yuanzhao Zhang Sean P. Cornelius 89 13 0 18 Oct 2022
Stochastic Data-Driven Variational Multiscale Reduced Order Models Fei Lu Changhong Mou Honghu Liu T. Iliescu 61 0 0 06 Sep 2022
Quantum Mechanics for Closure of Dynamical Systems D. Freeman D. Giannakis J. Slawinska 70 4 0 05 Aug 2022
A Review of Machine Learning Methods Applied to Structural Dynamics and Vibroacoustic Barbara Z Cunha C. Droz A. Zine Stéphane Foulard M. Ichchou AI4CE 61 91 0 13 Apr 2022
Discrepancy Modeling Framework: Learning missing physics, modeling systematic residuals, and disambiguating between deterministic and random effects Megan R. Ebers K. Steele J. Nathan Kutz 85 16 0 10 Mar 2022
Robust Hybrid Learning With Expert Augmentation Antoine Wehenkel Jens Behrmann Hsiang Hsu Guillermo Sapiro Gilles Louppe and J. Jacobsen 79 8 0 08 Feb 2022
Physics-enhanced deep surrogates for partial differential equations R. Pestourie Youssef Mroueh Chris Rackauckas Payel Das Steven G. Johnson PINN AI4CE 57 15 0 10 Nov 2021
Discovery of interpretable structural model errors by combining Bayesian sparse regression and data assimilation: A chaotic Kuramoto-Sivashinsky test case R. Mojgani Ashesh Chattopadhyay Pedram Hassanzadeh 87 16 0 01 Oct 2021
Combining machine learning and data assimilation to forecast dynamical systems from noisy partial observations Georg Gottwald Sebastian Reich AI4CE 94 38 0 08 Aug 2021