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Weak SINDy For Partial Differential Equations

6 July 2020

Papers citing "Weak SINDy For Partial Differential Equations"

32 / 82 papers shown

Title
Machine Learning for Partial Differential Equations Steven L. Brunton J. Nathan Kutz AI4CE 124 21 0 30 Mar 2023
Multiphysics discovery with moving boundaries using Ensemble SINDy and Peridynamic Differential Operator A. Bekar E. Haghighat E. Madenci AI4CE 78 2 0 27 Mar 2023
Dimensionality Collapse: Optimal Measurement Selection for Low-Error Infinite-Horizon Forecasting H. Naumer F. Kamalabadi 86 0 0 27 Mar 2023
Auxiliary Functions as Koopman Observables: Data-Driven Analysis of Dynamical Systems via Polynomial Optimization J. Bramburger Giovanni Fantuzzi 122 13 0 02 Mar 2023
Direct Estimation of Parameters in ODE Models Using WENDy: Weak-form Estimation of Nonlinear Dynamics David M. Bortz Daniel Messenger Vanja M. Dukic 112 26 0 26 Feb 2023
Benchmarking sparse system identification with low-dimensional chaos A. Kaptanoglu Lanyue Zhang Zachary G. Nicolaou Urban Fasel Steven L. Brunton 139 34 0 04 Feb 2023
Generalized Neural Closure Models with Interpretability Abhinava Gupta Pierre FJ Lermusiaux AI4CE 98 10 0 15 Jan 2023
Random Feature Models for Learning Interacting Dynamical Systems Yuxuan Liu S. McCalla Hayden Schaeffer 109 14 0 11 Dec 2022
PDE-LEARN: Using Deep Learning to Discover Partial Differential Equations from Noisy, Limited Data R. Stephany Christopher Earls 98 18 0 09 Dec 2022
Asymptotic consistency of the WSINDy algorithm in the limit of continuum data Daniel Messenger David M. Bortz 159 16 0 29 Nov 2022
Bayesian autoencoders for data-driven discovery of coordinates, governing equations and fundamental constants Liyao (Mars) Gao J. Nathan Kutz AI4CE 115 24 0 19 Nov 2022
Bayesian Learning of Coupled Biogeochemical-Physical Models Abhinav Gupta Pierre FJ Lermusiaux 120 6 0 12 Nov 2022
WeakIdent: Weak formulation for Identifying Differential Equations using Narrow-fit and Trimming Mengyi Tang Wenjing Liao R. Kuske S. Kang 67 21 0 06 Nov 2022
DISCOVER: Deep identification of symbolically concise open-form PDEs via enhanced reinforcement-learning Mengge Du Yuntian Chen Dong-juan Zhang 100 0 0 04 Oct 2022
Convergence of weak-SINDy Surrogate Models Benjamin P. Russo M. P. Laiu 64 8 0 30 Sep 2022
Discovery of partial differential equations from highly noisy and sparse data with physics-informed information criterion Hao Xu Junsheng Zeng Dongxiao Zhang DiffM 83 23 0 05 Aug 2022
Noise-aware Physics-informed Machine Learning for Robust PDE Discovery Pongpisit Thanasutives Takeshi Morita M. Numao Ken-ichi Fukui PINN AI4CE 156 22 0 26 Jun 2022
D-CIPHER: Discovery of Closed-form Partial Differential Equations Krzysztof Kacprzyk Zhaozhi Qian M. Schaar AI4CE 108 2 0 21 Jun 2022
Learning Sparse Nonlinear Dynamics via Mixed-Integer Optimization Dimitris Bertsimas Wes Gurnee AI4CE 108 51 0 01 Jun 2022
Learning Anisotropic Interaction Rules from Individual Trajectories in a Heterogeneous Cellular Population Daniel Messenger Graycen E. Wheeler X. Liu David M. Bortz 134 21 0 29 Apr 2022
Stabilized Neural Ordinary Differential Equations for Long-Time Forecasting of Dynamical Systems Alec J. Linot J. Burby Q. Tang Dali Wang M. Graham R. Maulik AI4TS 97 83 0 29 Mar 2022
Online Weak-form Sparse Identification of Partial Differential Equations Daniel Messenger E. Dall’Anese David M. Bortz 114 13 0 08 Mar 2022
Machine Learning in Heterogeneous Porous Materials Martha DÉli H. Deng Cedric G. Fraces K. Garikipati L. Graham‐Brady ... H. Tchelepi B. Važić Hari S. Viswanathan H. Yoon P. Zarzycki AI4CE 104 10 0 04 Feb 2022
A Priori Denoising Strategies for Sparse Identification of Nonlinear Dynamical Systems: A Comparative Study A. Cortiella K. Park Alireza Doostan 104 18 0 29 Jan 2022
PySINDy: A comprehensive Python package for robust sparse system identification A. Kaptanoglu Brian M. de Silva Urban Fasel Kadierdan Kaheman Andy J. Goldschmidt ... Zachary G. Nicolaou Kathleen P. Champion Jean-Christophe Loiseau J. Nathan Kutz Steven L. Brunton AI4CE 131 174 0 12 Nov 2021
PDE-READ: Human-readable Partial Differential Equation Discovery using Deep Learning R. Stephany Christopher Earls DiffM AIMat 111 32 0 01 Nov 2021
Learning Mean-Field Equations from Particle Data Using WSINDy Daniel Messenger David M. Bortz 123 40 0 14 Oct 2021
Discovery of interpretable structural model errors by combining Bayesian sparse regression and data assimilation: A chaotic Kuramoto-Sivashinsky test case R. Mojgani Ashesh Chattopadhyay Pedram Hassanzadeh 117 17 0 01 Oct 2021
Any equation is a forest: Symbolic genetic algorithm for discovering open-form partial differential equations (SGA-PDE) Yuntian Chen Yingtao Luo Qiang Liu Hao Xu Dongxiao Zhang AI4CE 127 65 0 09 Jun 2021
Robust discovery of partial differential equations in complex situations Hao Xu Dongxiao Zhang AI4CE 119 34 0 31 May 2021
Model discovery in the sparse sampling regime G. Both Georges Tod R. Kusters 87 3 0 02 May 2021
Automatic Differentiation to Simultaneously Identify Nonlinear Dynamics and Extract Noise Probability Distributions from Data Kadierdan Kaheman Steven L. Brunton J. Nathan Kutz 85 91 0 12 Sep 2020