Neural modal ordinary differential equations: Integrating physics-based
modeling with neural ordinary differential equations for modeling
high-dimensional monitored structures

Neural modal ordinary differential equations: Integrating physics-based modeling with neural ordinary differential equations for modeling high-dimensional monitored structures

16 July 2022

Wei Liu

Papers citing "Neural modal ordinary differential equations: Integrating physics-based modeling with neural ordinary differential equations for modeling high-dimensional monitored structures"

16 / 16 papers shown

Title
Physics-guided Deep Markov Models for Learning Nonlinear Dynamical Systems with Uncertainty Wei Liu Zhilu Lai Kiran Bacsa Eleni Chatzi PINN BDL AI4CE 46 33 0 16 Oct 2021
Scientific multi-agent reinforcement learning for wall-models of turbulent flows H. J. Bae Petros Koumoutsakos AI4CE 44 134 0 21 Jun 2021
Dynamical Variational Autoencoders: A Comprehensive Review Laurent Girin Simon Leglaive Xiaoyu Bie Julien Diard Thomas Hueber Xavier Alameda-Pineda BDL 74 218 0 28 Aug 2020
Multiscale Simulations of Complex Systems by Learning their Effective Dynamics Pantelis R. Vlachas G. Arampatzis Caroline Uhler Petros Koumoutsakos AI4CE 40 144 0 24 Jun 2020
Modeling System Dynamics with Physics-Informed Neural Networks Based on Lagrangian Mechanics Manuel A. Roehrl Thomas Runkler Veronika Brandtstetter Michel Tokic Stefan Obermayer PINN 52 79 0 29 May 2020
Lagrangian Neural Networks M. Cranmer S. Greydanus Stephan Hoyer Peter W. Battaglia D. Spergel S. Ho PINN 170 435 0 10 Mar 2020
Lift & Learn: Physics-informed machine learning for large-scale nonlinear dynamical systems E. Qian Boris Kramer Benjamin Peherstorfer Karen E. Willcox AI4CE 79 265 0 17 Dec 2019
Learning physics-based reduced-order models for a single-injector combustion process Renee C. Swischuk Boris Kramer Cheng Huang Karen E. Willcox AI4CE 27 97 0 09 Aug 2019
ODE $^2$ VAE: Deep generative second order ODEs with Bayesian neural networks Çağatay Yıldız Markus Heinonen Harri Lähdesmäki BDL DRL 63 88 0 27 May 2019
Physics-Constrained Deep Learning for High-dimensional Surrogate Modeling and Uncertainty Quantification without Labeled Data Yinhao Zhu N. Zabaras P. Koutsourelakis P. Perdikaris PINN AI4CE 95 867 0 18 Jan 2019
Neural Ordinary Differential Equations T. Chen Yulia Rubanova J. Bettencourt David Duvenaud AI4CE 406 5,103 0 19 Jun 2018
Deep learning for universal linear embeddings of nonlinear dynamics Bethany Lusch J. Nathan Kutz Steven L. Brunton 71 1,250 0 27 Dec 2017
Physics-guided Neural Networks (PGNN): An Application in Lake Temperature Modeling Arka Daw Anuj Karpatne William Watkins J. Read Vipin Kumar PINN 38 533 0 31 Oct 2017
Structured Inference Networks for Nonlinear State Space Models Rahul G. Krishnan Uri Shalit David Sontag BDL 86 457 0 30 Sep 2016
Deep Kalman Filters Rahul G. Krishnan Uri Shalit David Sontag BDL AI4TS 70 373 0 16 Nov 2015
Auto-Encoding Variational Bayes Diederik P. Kingma Max Welling BDL 450 16,940 0 20 Dec 2013