Weak SINDy For Partial Differential Equations

6 July 2020

Papers citing "Weak SINDy For Partial Differential Equations"

50 / 75 papers shown

Title
Discovering Symbolic Differential Equations with Symmetry Invariants Jianke Yang Manu Bhat Bryan Hu Yadi Cao Nima Dehmamy Robin Walters Rose Yu 7 0 0 17 May 2025
Generative Discovery of Partial Differential Equations by Learning from Math Handbooks Hao Xu Y. Chen Rui Cao Tianning Tang Mengge Du Jiacheng Li Adrian H. Callaghan Dongxiao Zhang 34 0 0 09 May 2025
Physics-informed solution reconstruction in elasticity and heat transfer using the explicit constraint force method Conor Rowan K. Maute Alireza Doostan AI4CE 53 0 0 08 May 2025
Optimizing Hard Thresholding for Sparse Model Discovery Derek W. Jollie Scott G. McCalla 43 0 0 28 Apr 2025
SODAs: Sparse Optimization for the Discovery of Differential and Algebraic Equations Manu Jayadharan Christina Catlett Arthur N. Montanari Niall M. Mangan AI4CE 53 0 0 08 Mar 2025
LAPD: Langevin-Assisted Bayesian Active Learning for Physical Discovery Cindy Xiangrui Kong Haoyang Zheng Guang Lin AI4CE 47 0 0 04 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 48 0 0 02 Mar 2025
Impilict Runge-Kutta based sparse identification of governing equations in biologically motivated systems Mehrdad Anvari Hamidreza Marasi Hossein Kheiri 66 0 0 27 Feb 2025
Mechanistic PDE Networks for Discovery of Governing Equations Adeel Pervez E. Gavves Francesco Locatello AI4CE 85 1 0 25 Feb 2025
Al-Khwarizmi: Discovering Physical Laws with Foundation Models Christopher E. Mower Haitham Bou-Ammar AI4CE 79 1 0 03 Feb 2025
No Equations Needed: Learning System Dynamics Without Relying on Closed-Form ODEs Krzysztof Kacprzyk M. Schaar 114 0 0 30 Jan 2025
A Bayesian Approach for Discovering Time- Delayed Differential Equation from Data Debangshu Chowdhury Souvik Chakraborty 33 0 0 06 Jan 2025
Learning Weather Models from Data with WSINDy Seth Minor Daniel Messenger Vanja M. Dukic David M. Bortz AI4CE 42 0 0 03 Jan 2025
LES-SINDy: Laplace-Enhanced Sparse Identification of Nonlinear Dynamical Systems Haoyang Zheng Guang Lin 39 1 0 04 Nov 2024
Ensemble WSINDy for Data Driven Discovery of Governing Equations from Laser-based Full-field Measurements Abigail C. Schmid Alireza Doostan Fatemeh Pourahmadian AI4CE 28 2 0 30 Sep 2024
Discovery and inversion of the viscoelastic wave equation in inhomogeneous media Su Chen Yi Ding Hiroe Miyake Xiaojun Li 43 0 0 27 Sep 2024
The Weak Form Is Stronger Than You Think Daniel Messenger April Tran Vanja M. Dukic David M. Bortz 31 3 0 10 Sep 2024
BINDy -- Bayesian identification of nonlinear dynamics with reversible-jump Markov-chain Monte-Carlo Max D. Champneys Timothy J. Rogers 39 2 0 15 Aug 2024
VENI, VINDy, VICI: a variational reduced-order modeling framework with uncertainty quantification Paolo Conti Jonas Kneifl Andrea Manzoni A. Frangi Jörg Fehr Steven L. Brunton J. Nathan Kutz 53 6 0 31 May 2024
Weak-Form Inference for Hybrid Dynamical Systems in Ecology Daniel Messenger Greg Dwyer Vanja M. Dukic 30 4 0 31 May 2024
Shallow Recurrent Decoder for Reduced Order Modeling of Plasma Dynamics J. Nathan Kutz M. Reza Farbod Faraji A. Knoll AI4CE 23 9 0 20 May 2024
Scalable Sparse Regression for Model Discovery: The Fast Lane to Insight Matthew Golden 22 3 0 14 May 2024
LLM4ED: Large Language Models for Automatic Equation Discovery Mengge Du Yuntian Chen Zhongzheng Wang Longfeng Nie Dong-juan Zhang 41 3 0 13 May 2024
Machine Learning Techniques for Data Reduction of CFD Applications Jaemoon Lee Ki Sung Jung Qian Gong Xiao Li S. Klasky Jacqueline H. Chen Anand Rangarajan Sanjay Ranka 34 3 0 28 Apr 2024
Automating the Discovery of Partial Differential Equations in Dynamical Systems Weizhen Li Rui Carvalho 28 1 0 25 Apr 2024
A Comprehensive Review of Latent Space Dynamics Identification Algorithms for Intrusive and Non-Intrusive Reduced-Order-Modeling Christophe Bonneville Xiaolong He April Tran Jun Sur Richard Park William D. Fries ... David M. Bortz Debojyoti Ghosh Jiun-Shyan Chen Jonathan Belof Youngsoo Choi AI4CE 39 7 0 16 Mar 2024
SINDy-RL: Interpretable and Efficient Model-Based Reinforcement Learning Nicholas Zolman Urban Fasel J. Nathan Kutz Steven L. Brunton AI4CE 30 11 0 14 Mar 2024
Rapid Bayesian identification of sparse nonlinear dynamics from scarce and noisy data Lloyd Fung Urban Fasel M. Juniper 21 1 0 23 Feb 2024
Sparse discovery of differential equations based on multi-fidelity Gaussian process Yuhuang Meng Yue Qiu 64 0 0 22 Jan 2024
$Improved identification accuracy in equation learning via comprehensive $\boldsymbol{R^2}$-elimination and Bayesian model selection$ Improved identification accuracy in equation learning via comprehensive $\boldsymbol{R^2}$ -elimination and Bayesian model selection Daniel Nickelsen B. Bah 29 0 0 22 Nov 2023
Weak-Form Latent Space Dynamics Identification April Tran Xiaolong He Daniel Messenger Youngsoo Choi David M. Bortz 46 7 0 20 Nov 2023
Learning Collective Behaviors from Observation Jinchao Feng Ming Zhong 16 2 0 01 Nov 2023
Coarse-Graining Hamiltonian Systems Using WSINDy Daniel Messenger J. Burby David M. Bortz 54 6 0 09 Oct 2023
PROSE: Predicting Operators and Symbolic Expressions using Multimodal Transformers Yuxuan Liu Zecheng Zhang Hayden Schaeffer 29 18 0 28 Sep 2023
Physics-constrained robust learning of open-form partial differential equations from limited and noisy data Mengge Du Yuntian Chen Longfeng Nie Siyu Lou Dong-juan Zhang AI4CE 31 7 0 14 Sep 2023
Weak-PDE-LEARN: A Weak Form Based Approach to Discovering PDEs From Noisy, Limited Data R. Stephany Christopher Earls 30 4 0 09 Sep 2023
Streaming Compression of Scientific Data via weak-SINDy Benjamin P. Russo M. P. Laiu Rick Archibald 28 3 0 29 Aug 2023
Adaptive Uncertainty-Guided Model Selection for Data-Driven PDE Discovery Pongpisit Thanasutives Takashi Morita M. Numao Ken-ichi Fukui 29 2 0 20 Aug 2023
GPLaSDI: Gaussian Process-based Interpretable Latent Space Dynamics Identification through Deep Autoencoder Christophe Bonneville Youngsoo Choi Debojyoti Ghosh Jonathan Belof AI4CE 30 18 0 10 Aug 2023
Directed differential equation discovery using modified mutation and cross-over operators E. Ivanchik A. Hvatov 21 0 0 09 Aug 2023
Towards true discovery of the differential equations A. Hvatov Roman V. Titov 27 0 0 09 Aug 2023
Comparison of Single- and Multi- Objective Optimization Quality for Evolutionary Equation Discovery M. Maslyaev A. Hvatov 9 0 0 29 Jun 2023
Machine Learning for Partial Differential Equations Steven L. Brunton J. Nathan Kutz AI4CE 47 20 0 30 Mar 2023
Multiphysics discovery with moving boundaries using Ensemble SINDy and Peridynamic Differential Operator A. Bekar E. Haghighat E. Madenci AI4CE 24 2 0 27 Mar 2023
Dimensionality Collapse: Optimal Measurement Selection for Low-Error Infinite-Horizon Forecasting H. Naumer F. Kamalabadi 29 0 0 27 Mar 2023
Auxiliary Functions as Koopman Observables: Data-Driven Analysis of Dynamical Systems via Polynomial Optimization J. Bramburger Giovanni Fantuzzi 24 10 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 29 17 0 26 Feb 2023
Benchmarking sparse system identification with low-dimensional chaos A. Kaptanoglu Lanyue Zhang Zachary G. Nicolaou Urban Fasel Steven L. Brunton 50 20 0 04 Feb 2023
Generalized Neural Closure Models with Interpretability Abhinava Gupta Pierre FJ Lermusiaux AI4CE 30 9 0 15 Jan 2023
Random Feature Models for Learning Interacting Dynamical Systems Yuxuan Liu S. McCalla Hayden Schaeffer 26 12 0 11 Dec 2022