Weak SINDy For Partial Differential Equations

6 July 2020

Papers citing "Weak SINDy For Partial Differential Equations"

25 / 75 papers shown

Title
PDE-LEARN: Using Deep Learning to Discover Partial Differential Equations from Noisy, Limited Data R. Stephany Christopher Earls 16 16 0 09 Dec 2022
Asymptotic consistency of the WSINDy algorithm in the limit of continuum data Daniel Messenger David M. Bortz 51 13 0 29 Nov 2022
Bayesian autoencoders for data-driven discovery of coordinates, governing equations and fundamental constants Liyao (Mars) Gao J. Nathan Kutz AI4CE 35 20 0 19 Nov 2022
Bayesian Learning of Coupled Biogeochemical-Physical Models Abhinav Gupta Pierre FJ Lermusiaux 22 5 0 12 Nov 2022
WeakIdent: Weak formulation for Identifying Differential Equations using Narrow-fit and Trimming Mengyi Tang Wenjing Liao R. Kuske S. Kang 17 16 0 06 Nov 2022
DISCOVER: Deep identification of symbolically concise open-form PDEs via enhanced reinforcement-learning Mengge Du Yuntian Chen Dong-juan Zhang 33 0 0 04 Oct 2022
Convergence of weak-SINDy Surrogate Models Benjamin P. Russo M. P. Laiu 22 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 33 19 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 31 18 0 26 Jun 2022
D-CIPHER: Discovery of Closed-form Partial Differential Equations Krzysztof Kacprzyk Zhaozhi Qian M. Schaar AI4CE 30 1 0 21 Jun 2022
Learning Sparse Nonlinear Dynamics via Mixed-Integer Optimization Dimitris Bertsimas Wes Gurnee AI4CE 38 43 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 12 18 0 29 Apr 2022
Stabilized Neural Ordinary Differential Equations for Long-Time Forecasting of Dynamical Systems Alec J. Linot J. Burby Q. Tang Prasanna Balaprakash M. Graham R. Maulik AI4TS 22 74 0 29 Mar 2022
Online Weak-form Sparse Identification of Partial Differential Equations Daniel Messenger E. Dall’Anese David M. Bortz 43 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 38 9 0 04 Feb 2022
A Priori Denoising Strategies for Sparse Identification of Nonlinear Dynamical Systems: A Comparative Study A. Cortiella K. Park Alireza Doostan 19 15 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 44 145 0 12 Nov 2021
PDE-READ: Human-readable Partial Differential Equation Discovery using Deep Learning R. Stephany Christopher Earls DiffM AIMat 25 29 0 01 Nov 2021
Learning Mean-Field Equations from Particle Data Using WSINDy Daniel Messenger David M. Bortz 34 37 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 27 15 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 30 57 0 09 Jun 2021
Robust discovery of partial differential equations in complex situations Hao Xu Dongxiao Zhang AI4CE 25 28 0 31 May 2021
Model discovery in the sparse sampling regime G. Both Georges Tod R. Kusters 33 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 14 83 0 12 Sep 2020
Methods for Interpreting and Understanding Deep Neural Networks G. Montavon Wojciech Samek K. Müller FaML 234 2,238 0 24 Jun 2017