Physics-informed Spline Learning for Nonlinear Dynamics Discovery

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Physics-informed Spline Learning for Nonlinear Dynamics Discovery

5 May 2021

Yang Liu

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Papers citing "Physics-informed Spline Learning for Nonlinear Dynamics Discovery"

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Title
SODAs: Sparse Optimization for the Discovery of Differential and Algebraic Equations Manu Jayadharan Christina Catlett Arthur N. Montanari Niall M. Mangan AI4CE 125 0 0 08 Mar 2025
Data-Efficient Kernel Methods for Learning Differential Equations and Their Solution Operators: Algorithms and Error Analysis Yasamin Jalalian Juan Felipe Osorio Ramirez Alexander W. Hsu Bamdad Hosseini H. Owhadi 176 0 0 02 Mar 2025
Discovery and inversion of the viscoelastic wave equation in inhomogeneous media Su Chen Yi Ding Hiroe Miyake Xiaojun Li 113 0 0 27 Sep 2024
Vision-based Discovery of Nonlinear Dynamics for 3D Moving Target Zi-Rui Zhang Yang Liu Hao Sun 86 1 0 27 Apr 2024
Robust Physics Informed Neural Networks Marcin Lo's Maciej Paszyñski PINN 54 0 0 04 Jan 2024
ST-PINN: A Self-Training Physics-Informed Neural Network for Partial Differential Equations Junjun Yan Xinhai Chen Zhichao Wang Enqiang Zhoui Jie Liu PINN DiffM AI4CE 84 10 0 15 Jun 2023
RSRM: Reinforcement Symbolic Regression Machine Yilong Xu Yang Liu Haoqin Sun 50 4 0 24 May 2023
SeismicNet: Physics-informed neural networks for seismic wave modeling in semi-infinite domain Pu Ren Chengping Rao Su Chen Jian-Xun Wang Hao Sun Yang Liu 122 44 0 25 Oct 2022
Bayesian Spline Learning for Equation Discovery of Nonlinear Dynamics with Quantified Uncertainty Luning Sun Daniel Zhengyu Huang Hao Sun Jian-Xun Wang 75 10 0 14 Oct 2022
Discovering Governing Equations by Machine Learning implemented with Invariance Chao Chen Xiaowei Jin Hui Li PINN AI4CE 36 1 0 29 Mar 2022
Physics-Informed Graph Learning Ciyuan Peng Xiwei Xu Vidya Saikrishna Huan Liu PINN AI4CE 87 6 0 22 Feb 2022
A Priori Denoising Strategies for Sparse Identification of Nonlinear Dynamical Systems: A Comparative Study A. Cortiella K. Park Alireza Doostan 64 15 0 29 Jan 2022
Discovering Nonlinear PDEs from Scarce Data with Physics-encoded Learning Chengping Rao Pu Ren Yang Liu Hao Sun AI4CE 115 30 0 28 Jan 2022
Uncovering Closed-form Governing Equations of Nonlinear Dynamics from Videos Lele Luan Yang Liu Hao Sun PINN AI4CE 43 0 0 09 Jun 2021