The Discovery of Dynamics via Linear Multistep Methods and Deep
Learning: Error Estimation

The Discovery of Dynamics via Linear Multistep Methods and Deep Learning: Error Estimation

21 March 2021

Papers citing "The Discovery of Dynamics via Linear Multistep Methods and Deep Learning: Error Estimation"

11 / 11 papers shown

Title
DUE: A Deep Learning Framework and Library for Modeling Unknown Equations Junfeng Chen Kailiang Wu D. Xiu 20 0 0 14 Apr 2025
Weak Collocation Regression for Inferring Stochastic Dynamics with Lévy Noise Liya Guo Liwei Lu Zhijun Zeng Pipi Hu Yi Zhu 24 1 0 13 Mar 2024
On the Identifiablility of Nonlocal Interaction Kernels in First-Order Systems of Interacting Particles on Riemannian Manifolds Sui Tang Malik Tuerkoen Hanming Zhou 21 4 0 21 May 2023
Finite Expression Methods for Discovering Physical Laws from Data Zhongyi Jiang Chunmei Wang Haizhao Yang 19 7 0 15 May 2023
Implementation and (Inverse Modified) Error Analysis for implicitly-templated ODE-nets Aiqing Zhu Tom S. Bertalan Beibei Zhu Yifa Tang Ioannis G. Kevrekidis 21 5 0 31 Mar 2023
Weak Collocation Regression method: fast reveal hidden stochastic dynamics from high-dimensional aggregate data Liwei Lu Zhijun Zeng Yan Jiang Yi Zhu Pipi Hu 18 4 0 06 Sep 2022
On Numerical Integration in Neural Ordinary Differential Equations Aiqing Zhu Pengzhan Jin Beibei Zhu Yifa Tang 21 26 0 15 Jun 2022
VPNets: Volume-preserving neural networks for learning source-free dynamics Aiqing Zhu Beibei Zhu Jiawei Zhang Yifa Tang Jian-Dong Liu 24 3 0 29 Apr 2022
Deep Nonparametric Estimation of Operators between Infinite Dimensional Spaces Hao Liu Haizhao Yang Minshuo Chen T. Zhao Wenjing Liao 32 36 0 01 Jan 2022
A Framework for Machine Learning of Model Error in Dynamical Systems Matthew E. Levine Andrew M. Stuart 27 66 0 14 Jul 2021
Solving PDEs on Unknown Manifolds with Machine Learning Senwei Liang Shixiao W. Jiang J. Harlim Haizhao Yang AI4CE 28 16 0 12 Jun 2021