Parameterized Neural Ordinary Differential Equations: Applications to Computational Physics Problems

28 October 2020

Papers citing "Parameterized Neural Ordinary Differential Equations: Applications to Computational Physics Problems"

12 / 12 papers shown

Title
When are dynamical systems learned from time series data statistically accurate? Jeongjin Park Nicole Yang Nisha Chandramoorthy AI4TS 38 4 0 09 Nov 2024
Efficient, Accurate and Stable Gradients for Neural ODEs Sam McCallum James Foster 40 4 0 15 Oct 2024
Balanced Neural ODEs: nonlinear model order reduction and Koopman operator approximations Julius Aka Johannes Brunnemann Jörg Eiden Arne Speerforck Lars Mikelsons 33 0 0 14 Oct 2024
Enhancing Low-Order Discontinuous Galerkin Methods with Neural Ordinary Differential Equations for Compressible Navier--Stokes Equations Shinhoo Kang Emil M. Constantinescu AI4CE 22 0 0 29 Oct 2023
Do We Need an Encoder-Decoder to Model Dynamical Systems on Networks? Bing-Quan Liu Wei Luo Gang Li Jing Huang Boxiong Yang AI4CE 26 5 0 20 May 2023
Operator inference with roll outs for learning reduced models from scarce and low-quality data W. I. Uy D. Hartmann Benjamin Peherstorfer AI4CE 25 15 0 02 Dec 2022
Mining Causality from Continuous-time Dynamics Models: An Application to Tsunami Forecasting Fan Wu Sanghyun Hong Dobsub Rim Noseong Park Kookjin Lee AI4TS 31 1 0 10 Oct 2022
Parameter-varying neural ordinary differential equations with partition-of-unity networks Kookjin Lee N. Trask 27 2 0 01 Oct 2022
Constructing Neural Network-Based Models for Simulating Dynamical Systems Christian Møldrup Legaard Thomas Schranz G. Schweiger Ján Drgovna Basak Falay C. Gomes Alexandros Iosifidis M. Abkar P. Larsen PINN AI4CE 33 93 0 02 Nov 2021
Machine learning structure preserving brackets for forecasting irreversible processes Kookjin Lee Nathaniel Trask P. Stinis AI4CE 44 43 0 23 Jun 2021
Lagrangian Neural Networks M. Cranmer S. Greydanus Stephan Hoyer Peter W. Battaglia D. Spergel S. Ho PINN 139 425 0 10 Mar 2020
Symplectic Recurrent Neural Networks Zhengdao Chen Jianyu Zhang Martín Arjovsky Léon Bottou 152 221 0 29 Sep 2019