Universal Differential Equations for Scientific Machine Learning

13 January 2020

Christopher Rackauckas

Papers citing "Universal Differential Equations for Scientific Machine Learning"

25 / 75 papers shown

Title
Learning Stable Deep Dynamics Models for Partially Observed or Delayed Dynamical Systems Andreas Schlaginhaufen Philippe Wenk Andreas Krause Florian Dorfler 24 15 0 27 Oct 2021
Physics informed machine learning with Smoothed Particle Hydrodynamics: Hierarchy of reduced Lagrangian models of turbulence M. Woodward Yifeng Tian Criston Hyett Chris L. Fryer Daniel Livescu Mikhail Stepanov Michael Chertkov AI4CE 11 7 0 25 Oct 2021
Using scientific machine learning for experimental bifurcation analysis of dynamic systems S. Beregi David A.W. Barton D. Rezgui S. Neild AI4CE 21 19 0 22 Oct 2021
Physics informed neural networks for continuum micromechanics Alexander Henkes Henning Wessels R. Mahnken PINN AI4CE 8 139 0 14 Oct 2021
Neural Network Verification in Control M. Everett AAML 32 16 0 30 Sep 2021
Characterizing possible failure modes in physics-informed neural networks Aditi S. Krishnapriyan A. Gholami Shandian Zhe Robert M. Kirby Michael W. Mahoney PINN AI4CE 25 607 0 02 Sep 2021
Physics-Guided Deep Learning for Dynamical Systems: A Survey Rui Wang Rose Yu AI4CE PINN 39 64 0 02 Jul 2021
Machine learning structure preserving brackets for forecasting irreversible processes Kookjin Lee Nathaniel Trask P. Stinis AI4CE 31 42 0 23 Jun 2021
Neural Controlled Differential Equations for Online Prediction Tasks James Morrill Patrick Kidger Lingyi Yang Terry Lyons AI4TS 25 40 0 21 Jun 2021
Opening the Blackbox: Accelerating Neural Differential Equations by Regularizing Internal Solver Heuristics Avik Pal Yingbo Ma Viral B. Shah Chris Rackauckas 28 36 0 09 May 2021
Bridging observation, theory and numerical simulation of the ocean using Machine Learning Maike Sonnewald Redouane Lguensat Daniel C. Jones P. Dueben J. Brajard Venkatramani Balaji AI4Cl AI4CE 43 100 0 26 Apr 2021
Applications of physics-informed scientific machine learning in subsurface science: A survey A. Sun H. Yoon C. Shih Zhi Zhong AI4CE 23 9 0 10 Apr 2021
Hybrid analysis and modeling, eclecticism, and multifidelity computing toward digital twin revolution Omer San Adil Rasheed T. Kvamsdal 45 50 0 26 Mar 2021
Gaussian processes meet NeuralODEs: A Bayesian framework for learning the dynamics of partially observed systems from scarce and noisy data Mohamed Aziz Bhouri P. Perdikaris 20 20 0 04 Mar 2021
Physics-Integrated Variational Autoencoders for Robust and Interpretable Generative Modeling Naoya Takeishi Alexandros Kalousis DRL AI4CE 22 54 0 25 Feb 2021
Symplectic Adjoint Method for Exact Gradient of Neural ODE with Minimal Memory Takashi Matsubara Yuto Miyatake Takaharu Yaguchi 17 23 0 19 Feb 2021
Neural Closure Models for Dynamical Systems Abhinav Gupta Pierre FJ Lermusiaux AI4CE 16 45 0 27 Dec 2020
Stable Implementation of Probabilistic ODE Solvers Nicholas Kramer Philipp Hennig 91 20 0 18 Dec 2020
$NVIDIA SimNet^{TM}: an AI-accelerated multi-physics simulation framework$ NVIDIA SimNet^{TM}: an AI-accelerated multi-physics simulation framework O. Hennigh S. Narasimhan M. A. Nabian Akshay Subramaniam Kaustubh Tangsali M. Rietmann J. Ferrandis Wonmin Byeon Z. Fang S. Choudhry PINN AI4CE 93 126 0 14 Dec 2020
Bridging Physics-based and Data-driven modeling for Learning Dynamical Systems Rui Wang Danielle C. Maddix Christos Faloutsos Bernie Wang Rose Yu OOD AI4CE 19 51 0 20 Nov 2020
Deep learning prediction of patient response time course from early data via neural-pharmacokinetic/pharmacodynamic modeling James Lu B. Bender Jin Y. Jin Y. Guan 15 46 0 22 Oct 2020
Instead of Rewriting Foreign Code for Machine Learning, Automatically Synthesize Fast Gradients William S. Moses Valentin Churavy 11 83 0 04 Oct 2020
Self-Adaptive Physics-Informed Neural Networks using a Soft Attention Mechanism L. McClenny U. Braga-Neto PINN 26 442 0 07 Sep 2020
Discretize-Optimize vs. Optimize-Discretize for Time-Series Regression and Continuous Normalizing Flows Derek Onken Lars Ruthotto BDL 24 51 0 27 May 2020
Graph Neural Ordinary Differential Equations Michael Poli Stefano Massaroli Junyoung Park Atsushi Yamashita Hajime Asama Jinkyoo Park AI4CE 42 154 0 18 Nov 2019