On Numerical Integration in Neural Ordinary Differential Equations

On Numerical Integration in Neural Ordinary Differential Equations

15 June 2022

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Papers citing "On Numerical Integration in Neural Ordinary Differential Equations"

13 / 13 papers shown

Title
Interpretability and Generalization Bounds for Learning Spatial Physics Alejandro Francisco Queiruga Theo Gutman-Solo Shuai Jiang AI4CE 28 0 0 18 Jun 2025
Numerical and statistical analysis of NeuralODE with Runge-Kutta time integration Emily C. Ehrhardt Hanno Gottschalk Tobias Riedlinger 68 0 0 13 Mar 2025
A Unified Framework for Neural Computation and Learning Over Time S. Melacci Alessandro Betti Michele Casoni Tommaso Guidi Matteo Tiezzi Marco Gori AI4TS 80 0 0 18 Sep 2024
Stability-Informed Initialization of Neural Ordinary Differential Equations Theodor Westny Arman Mohammadi Daniel Jung Erik Frisk 120 1 0 27 Nov 2023
Time-vectorized numerical integration for systems of ODEs Mark C. Messner Tianchen Hu Tianju Chen AI4TS 50 1 0 12 Oct 2023
Data-driven Modeling and Inference for Bayesian Gaussian Process ODEs via Double Normalizing Flows Jian Xu Shian Du Junmei Yang Xinghao Ding John Paisley Delu Zeng 58 0 0 17 Sep 2023
SEGNO: Generalizing Equivariant Graph Neural Networks with Physical Inductive Biases Yang Liu Jiashun Cheng Haihong Zhao Tingyang Xu P. Zhao Fugee Tsung Jia Li Yu Rong AI4CE 114 19 0 25 Aug 2023
Pseudo-Hamiltonian system identification Sigurd Holmsen Sølve Eidnes S. Riemer-Sørensen 109 4 0 09 May 2023
Analysis of Numerical Integration in RNN-Based Residuals for Fault Diagnosis of Dynamic Systems Arman Mohammadi Theodor Westny Daniel E. Jung Mattias Krysander 52 5 0 08 May 2023
Some of the variables, some of the parameters, some of the times, with some physics known: Identification with partial information S. Malani Tom S. Bertalan Tianqi Cui J. Avalos Michael Betenbaugh Ioannis G. Kevrekidis PINN AI4CE 61 5 0 27 Apr 2023
Implementation and (Inverse Modified) Error Analysis for implicitly-templated ODE-nets Aiqing Zhu Tom S. Bertalan Beibei Zhu Yifa Tang Ioannis G. Kevrekidis 78 5 0 31 Mar 2023
Learning Hamiltonian Systems with Mono-Implicit Runge-Kutta Methods Haakon Noren 48 3 0 07 Mar 2023
SeqLink: A Robust Neural-ODE Architecture for Modelling Partially Observed Time Series Futoon M. Abushaqra Hao Xue Yongli Ren Flora D. Salim AI4TS 77 3 0 07 Dec 2022