Modeling System Dynamics with Physics-Informed Neural Networks Based on
Lagrangian Mechanics

Modeling System Dynamics with Physics-Informed Neural Networks Based on Lagrangian Mechanics

29 May 2020

Manuel A. Roehrl

Veronika Brandtstetter

Stefan Obermayer

Papers citing "Modeling System Dynamics with Physics-Informed Neural Networks Based on Lagrangian Mechanics"

19 / 19 papers shown

Title
Learned Perceptive Forward Dynamics Model for Safe and Platform-aware Robotic Navigation Pascal Roth Jonas Frey César Cadena Marco Hutter 36 0 0 27 Apr 2025
Bayesian identification of nonseparable Hamiltonians with multiplicative noise using deep learning and reduced-order modeling Nicholas Galioto Harsh Sharma Boris Kramer Alex Arkady Gorodetsky 38 0 0 23 Jan 2024
Port-Hamiltonian Neural ODE Networks on Lie Groups For Robot Dynamics Learning and Control T. Duong Abdullah Altawaitan Jason Stanley Nikolay A. Atanasov 28 10 0 17 Jan 2024
Time-vectorized numerical integration for systems of ODEs Mark C. Messner Tianchen Hu Tianju Chen AI4TS 26 1 0 12 Oct 2023
Hamiltonian GAN Christine Allen-Blanchette GAN AI4CE 29 1 0 22 Aug 2023
Compositional Learning of Dynamical System Models Using Port-Hamiltonian Neural Networks Cyrus Neary Ufuk Topcu PINN AI4CE 11 12 0 01 Dec 2022
Physics-Guided, Physics-Informed, and Physics-Encoded Neural Networks in Scientific Computing Salah A. Faroughi N. Pawar C. Fernandes Maziar Raissi Subasish Das N. Kalantari S. K. Mahjour PINN AI4CE 27 48 0 14 Nov 2022
Unravelling the Performance of Physics-informed Graph Neural Networks for Dynamical Systems A. Thangamuthu Gunjan Kumar S. Bishnoi Ravinder Bhattoo N. M. A. Krishnan Sayan Ranu AI4CE PINN 32 22 0 10 Nov 2022
Learning Articulated Rigid Body Dynamics with Lagrangian Graph Neural Network Ravinder Bhattoo Sayan Ranu N. M. A. Krishnan AI4CE 28 17 0 23 Sep 2022
Learning the Dynamics of Particle-based Systems with Lagrangian Graph Neural Networks Ravinder Bhattoo Sayan Ranu N. M. A. Krishnan PINN AI4CE 31 20 0 03 Sep 2022
Thermodynamics of learning physical phenomena Elías Cueto Francisco Chinesta AI4CE 25 22 0 26 Jul 2022
Neural modal ordinary differential equations: Integrating physics-based modeling with neural ordinary differential equations for modeling high-dimensional monitored structures Zhilu Lai Wei Liu Xudong Jian Kiran Bacsa Limin Sun Eleni Chatzi AI4CE 23 22 0 16 Jul 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 29 84 0 13 Apr 2022
SyMetric: Measuring the Quality of Learnt Hamiltonian Dynamics Inferred from Vision I. Higgins Peter Wirnsberger Andrew Jaegle Aleksandar Botev 37 7 0 10 Nov 2021
Lagrangian Neural Network with Differentiable Symmetries and Relational Inductive Bias Ravinder Bhattoo Sayan Ranu N. M. A. Krishnan AI4CE 47 4 0 07 Oct 2021
Implicit energy regularization of neural ordinary-differential-equation control Lucas Böttcher Nino Antulov-Fantulin Thomas Asikis 21 67 0 11 Mar 2021
Physics-Integrated Variational Autoencoders for Robust and Interpretable Generative Modeling Naoya Takeishi Alexandros Kalousis DRL AI4CE 24 54 0 25 Feb 2021
Extending Lagrangian and Hamiltonian Neural Networks with Differentiable Contact Models Yaofeng Desmond Zhong Biswadip Dey Amit Chakraborty 52 34 0 12 Feb 2021
A Physics-Informed Deep Learning Paradigm for Car-Following Models Zhaobin Mo Xuan Di Rongye Shi PINN AI4CE 22 131 0 24 Dec 2020