v1v2v3 (latest)

Weak SINDy For Partial Differential Equations

6 July 2020

Papers citing "Weak SINDy For Partial Differential Equations"

50 / 82 papers shown

Title
MDBench: Benchmarking Data-Driven Methods for Model Discovery Amirmohammad Ziaei Bideh Aleksandra Georgievska Jonathan Gryak 0 0 0 24 Sep 2025
Moment Estimates and DeepRitz Methods on Learning Diffusion Systems with Non-gradient Drifts Fanze Kong Chen-Chih Lai Yubin Lu 0 0 0 31 Aug 2025
Parameter-Aware Ensemble SINDy for Interpretable Symbolic SGS Closure Hanseul Kang Ville Vuorinen Shervin Karimkashi AI4CE 20 0 0 13 Aug 2025
Discovering Interpretable Ordinary Differential Equations from Noisy Data Rahul Golder M. M. Faruque Hasan 25 0 0 29 Jul 2025
Sparse identification of nonlinear dynamics with library optimization mechanism: Recursive long-term prediction perspective Ansei Yonezawa Heisei Yonezawa Shuichi Yahagi Itsuro Kajiwara Shinya Kijimoto Hikaru Taniuchi Kentaro Murakami AI4CE 25 0 0 24 Jul 2025
Enhancing generalizability of model discovery across parameter space with multi-experiment equation learning (ME-EQL) Maria-Veronica Ciocanel John T. Nardini Kevin Flores E. Rutter Suzanne S. Sindi Alexandria Volkening 47 0 0 10 Jun 2025
Discovering Symbolic Differential Equations with Symmetry Invariants Jianke Yang Manu Bhat Bryan Hu Yadi Cao Nima Dehmamy Robin Walters Rose Yu 98 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 113 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 112 0 0 08 May 2025
Optimizing Hard Thresholding for Sparse Model Discovery Derek W. Jollie Scott G. McCalla 145 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 142 0 0 08 Mar 2025
LAPD: Langevin-Assisted Bayesian Active Learning for Physical Discovery Cindy Xiangrui Kong Haoyang Zheng Guang Lin AI4CE 101 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 222 2 0 02 Mar 2025
Impilict Runge-Kutta based sparse identification of governing equations in biologically motivated systems Mehrdad Anvari Hamidreza Marasi Hossein Kheiri 191 1 0 27 Feb 2025
Mechanistic PDE Networks for Discovery of Governing Equations Adeel Pervez E. Gavves Francesco Locatello AI4CE 196 1 0 25 Feb 2025
Al-Khwarizmi: Discovering Physical Laws with Foundation Models Christopher E. Mower Haitham Bou-Ammar AI4CE 328 3 0 03 Feb 2025
No Equations Needed: Learning System Dynamics Without Relying on Closed-Form ODEs Krzysztof Kacprzyk Mihaela van der Schaar 334 1 0 30 Jan 2025
A Bayesian Approach for Discovering Time- Delayed Differential Equation from Data Debangshu Chowdhury Souvik Chakraborty 79 0 0 06 Jan 2025
Learning Physically Interpretable Atmospheric Models from Data with WSINDy Seth Minor Daniel Messenger Vanja M. Dukic David M. Bortz AI4CE 113 0 0 01 Jan 2025
LES-SINDy: Laplace-Enhanced Sparse Identification of Nonlinear Dynamical Systems Haoyang Zheng Guang Lin 94 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 95 3 0 30 Sep 2024
Discovery and inversion of the viscoelastic wave equation in inhomogeneous media Su Chen Yi Ding Hiroe Miyake Xiaojun Li 155 0 0 27 Sep 2024
The Weak Form Is Stronger Than You Think Daniel Messenger April Tran Vanja M. Dukic David M. Bortz 131 7 0 10 Sep 2024
BINDy -- Bayesian identification of nonlinear dynamics with reversible-jump Markov-chain Monte-Carlo Max D. Champneys T. J. Rogers 107 3 0 15 Aug 2024
Physics-guided weak-form discovery of reduced-order models for trapped ultracold hydrodynamics Reuben R. W. Wang Daniel Messenger AI4CE 39 0 0 11 Jun 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 128 7 0 31 May 2024
Weak-Form Inference for Hybrid Dynamical Systems in Ecology Daniel Messenger Greg Dwyer Vanja M. Dukic 111 7 0 31 May 2024
Shallow Recurrent Decoder for Reduced Order Modeling of Plasma Dynamics J. Nathan Kutz M. Reza Farbod Faraji A. Knoll AI4CE 96 10 0 20 May 2024
Scalable Sparse Regression for Model Discovery: The Fast Lane to Insight Matthew Golden 73 5 0 14 May 2024
LLM4ED: Large Language Models for Automatic Equation Discovery Mengge Du Yuntian Chen Zhongzheng Wang Longfeng Nie Dong-juan Zhang 109 6 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 92 3 0 28 Apr 2024
Automating the Discovery of Partial Differential Equations in Dynamical Systems Weizhen Li Rui Carvalho 130 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 123 14 0 16 Mar 2024
SINDy-RL: Interpretable and Efficient Model-Based Reinforcement Learning Nicholas Zolman Christian Lagemann Urban Fasel J. Nathan Kutz Steven Brunton AI4CE 108 14 0 14 Mar 2024
Rapid Bayesian identification of sparse nonlinear dynamics from scarce and noisy data Lloyd Fung Urban Fasel M. Juniper 86 5 0 23 Feb 2024
Data-Driven Discovery of PDEs via the Adjoint Method Mohsen Sadr Tony Tohme Kamal Youcef-Toumi PINN 200 1 0 30 Jan 2024
Sparse discovery of differential equations based on multi-fidelity Gaussian process Yuhuang Meng Yue Qiu 165 1 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 159 0 0 22 Nov 2023
Weak-Form Latent Space Dynamics Identification April Tran Xiaolong He Daniel Messenger Youngsoo Choi David M. Bortz 143 16 0 20 Nov 2023
Learning Collective Behaviors from Observation Jinchao Feng Ming Zhong 138 2 0 01 Nov 2023
Coarse-Graining Hamiltonian Systems Using WSINDy Daniel Messenger J. Burby David M. Bortz 178 8 0 09 Oct 2023
PROSE: Predicting Operators and Symbolic Expressions using Multimodal Transformers Yuxuan Liu Zecheng Zhang Hayden Schaeffer 120 20 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 111 10 0 14 Sep 2023
Weak-PDE-LEARN: A Weak Form Based Approach to Discovering PDEs From Noisy, Limited Data R. Stephany Christopher Earls 94 5 0 09 Sep 2023
Streaming Compression of Scientific Data via weak-SINDy Benjamin P. Russo M. P. Laiu Rick Archibald 83 4 0 29 Aug 2023
Adaptive Uncertainty-Guided Model Selection for Data-Driven PDE Discovery Pongpisit Thanasutives Takashi Morita M. Numao Ken-ichi Fukui 157 3 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 102 29 0 10 Aug 2023
Directed differential equation discovery using modified mutation and cross-over operators E. Ivanchik A. Hvatov 70 1 0 09 Aug 2023
Towards true discovery of the differential equations A. Hvatov Roman V. Titov 96 0 0 09 Aug 2023
Comparison of Single- and Multi- Objective Optimization Quality for Evolutionary Equation Discovery M. Maslyaev A. Hvatov 92 1 0 29 Jun 2023