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Weak SINDy For Partial Differential Equations
v1v2v3 (latest)

Weak SINDy For Partial Differential Equations

6 July 2020
Daniel Messenger
David M. Bortz
ArXiv (abs)PDFHTML

Papers citing "Weak SINDy For Partial Differential Equations"

50 / 86 papers shown
CHIPS: Efficient CLIP Adaptation via Curvature-aware Hybrid Influence-based Data Selection
CHIPS: Efficient CLIP Adaptation via Curvature-aware Hybrid Influence-based Data Selection
Xinlin Zhuang
Yichen Li
Xiwei Liu
Haolin Yang
Yifan Lu
...
Qinglei Wang
Weiyang Liu
Ying Qian
Jiangming Shi
Imran Razzak
132
1
0
23 Nov 2025
A Weak Penalty Neural ODE for Learning Chaotic Dynamics from Noisy Time Series
A Weak Penalty Neural ODE for Learning Chaotic Dynamics from Noisy Time Series
Xuyang Li
John Harlim
Romit Maulik
R. Maulik
AI4TS
378
0
0
10 Nov 2025
FedLAM: Low-latency Wireless Federated Learning via Layer-wise Adaptive Modulation
FedLAM: Low-latency Wireless Federated Learning via Layer-wise Adaptive Modulation
Linping Qu
Shenghui Song
Chi-Ying Tsui
111
0
0
09 Oct 2025
MDBench: Benchmarking Data-Driven Methods for Model Discovery
MDBench: Benchmarking Data-Driven Methods for Model Discovery
Amirmohammad Ziaei Bideh
Aleksandra Georgievska
Jonathan Gryak
282
1
0
24 Sep 2025
Moment Estimates and DeepRitz Methods on Learning Diffusion Systems with Non-gradient Drifts
Moment Estimates and DeepRitz Methods on Learning Diffusion Systems with Non-gradient Drifts
Fanze Kong
Chen-Chih Lai
Yubin Lu
157
0
0
31 Aug 2025
Parameter-Aware Ensemble SINDy for Interpretable Symbolic SGS Closure
Parameter-Aware Ensemble SINDy for Interpretable Symbolic SGS Closure
Hanseul Kang
Ville Vuorinen
Shervin Karimkashi
AI4CE
132
0
0
13 Aug 2025
Discovering Interpretable Ordinary Differential Equations from Noisy Data
Discovering Interpretable Ordinary Differential Equations from Noisy Data
Rahul Golder
M. M. Faruque Hasan
167
0
0
29 Jul 2025
Sparse identification of nonlinear dynamics with library optimization mechanism: Recursive long-term prediction perspective
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
103
2
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
124
0
0
10 Jun 2025
Discovering Symbolic Differential Equations with Symmetry Invariants
Discovering Symbolic Differential Equations with Symmetry Invariants
Jianke Yang
Manu Bhat
Bryan Hu
Yadi Cao
Nima Dehmamy
Robin Walters
Rose Yu
280
1
0
17 May 2025
Generative Discovery of Partial Differential Equations by Learning from Math Handbooks
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
304
3
0
09 May 2025
Physics-informed solution reconstruction in elasticity and heat transfer using the explicit constraint force method
Physics-informed solution reconstruction in elasticity and heat transfer using the explicit constraint force methodComputer Methods in Applied Mechanics and Engineering (CMAME), 2025
Conor Rowan
K. Maute
Alireza Doostan
AI4CE
258
3
0
08 May 2025
Optimizing Hard Thresholding for Sparse Model Discovery
Optimizing Hard Thresholding for Sparse Model Discovery
Derek W. Jollie
Scott G. McCalla
400
0
0
28 Apr 2025
SODAs: Sparse Optimization for the Discovery of Differential and Algebraic Equations
SODAs: Sparse Optimization for the Discovery of Differential and Algebraic Equations
Manu Jayadharan
Christina Catlett
Arthur N. Montanari
Niall M. Mangan
AI4CE
324
1
0
08 Mar 2025
LAPD: Langevin-Assisted Bayesian Active Learning for Physical Discovery
LAPD: Langevin-Assisted Bayesian Active Learning for Physical Discovery
Cindy Xiangrui Kong
Haoyang Zheng
Guang Lin
AI4CE
305
0
0
04 Mar 2025
Data-Efficient Kernel Methods for Learning Differential Equations and Their Solution Operators: Algorithms and Error Analysis
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
518
8
0
02 Mar 2025
Impilict Runge-Kutta based sparse identification of governing equations in biologically motivated systems
Impilict Runge-Kutta based sparse identification of governing equations in biologically motivated systems
Mehrdad Anvari
Hamidreza Marasi
Hossein Kheiri
480
0
0
27 Feb 2025
Mechanistic PDE Networks for Discovery of Governing Equations
Mechanistic PDE Networks for Discovery of Governing Equations
Adeel Pervez
E. Gavves
Francesco Locatello
AI4CE
441
1
0
25 Feb 2025
Al-Khwarizmi: Discovering Physical Laws with Foundation Models
Al-Khwarizmi: Discovering Physical Laws with Foundation Models
Christopher E. Mower
Haitham Bou-Ammar
AI4CE
956
4
0
03 Feb 2025
No Equations Needed: Learning System Dynamics Without Relying on Closed-Form ODEs
No Equations Needed: Learning System Dynamics Without Relying on Closed-Form ODEsInternational Conference on Learning Representations (ICLR), 2025
Krzysztof Kacprzyk
Mihaela van der Schaar
655
4
0
30 Jan 2025
A Bayesian Approach for Discovering Time- Delayed Differential Equation from Data
A Bayesian Approach for Discovering Time- Delayed Differential Equation from DataJournal of Computational Physics (JCP), 2025
Debangshu Chowdhury
Souvik Chakraborty
203
0
0
06 Jan 2025
Learning Physically Interpretable Atmospheric Models from Data with WSINDy
Learning Physically Interpretable Atmospheric Models from Data with WSINDyJournal of Geophysical Research (JGR), 2024
Seth Minor
Daniel Messenger
Vanja M. Dukic
David M. Bortz
AI4CE
295
0
0
01 Jan 2025
LES-SINDy: Laplace-Enhanced Sparse Identification of Nonlinear Dynamical
  Systems
LES-SINDy: Laplace-Enhanced Sparse Identification of Nonlinear Dynamical Systems
Haoyang Zheng
Guang Lin
264
8
0
04 Nov 2024
Ensemble WSINDy for Data Driven Discovery of Governing Equations from
  Laser-based Full-field Measurements
Ensemble WSINDy for Data Driven Discovery of Governing Equations from Laser-based Full-field Measurements
Abigail C. Schmid
Alireza Doostan
Fatemeh Pourahmadian
AI4CE
154
4
0
30 Sep 2024
Discovery and inversion of the viscoelastic wave equation in inhomogeneous media
Discovery and inversion of the viscoelastic wave equation in inhomogeneous mediaComputer Physics Communications (CPC), 2024
Su Chen
Yi Ding
Hiroe Miyake
Xiaojun Li
349
1
0
27 Sep 2024
The Weak Form Is Stronger Than You Think
The Weak Form Is Stronger Than You Think
Daniel Messenger
April Tran
Vanja M. Dukic
David M. Bortz
311
14
0
10 Sep 2024
BINDy -- Bayesian identification of nonlinear dynamics with reversible-jump Markov-chain Monte-Carlo
BINDy -- Bayesian identification of nonlinear dynamics with reversible-jump Markov-chain Monte-CarloProceedings of the Royal Society A (Proc. R. Soc. A), 2024
Max D. Champneys
T. J. Rogers
336
5
0
15 Aug 2024
Physics-guided weak-form discovery of reduced-order models for trapped
  ultracold hydrodynamics
Physics-guided weak-form discovery of reduced-order models for trapped ultracold hydrodynamics
Reuben R. W. Wang
Daniel Messenger
AI4CE
118
1
0
11 Jun 2024
Weak-Form Inference for Hybrid Dynamical Systems in Ecology
Weak-Form Inference for Hybrid Dynamical Systems in Ecology
Daniel Messenger
Greg Dwyer
Vanja M. Dukic
349
10
0
31 May 2024
VENI, VINDy, VICI: a generative reduced-order modeling framework with uncertainty quantification
VENI, VINDy, VICI: a generative reduced-order modeling framework with uncertainty quantification
Paolo Conti
Jonas Kneifl
Andrea Manzoni
A. Frangi
Jörg Fehr
Steven L. Brunton
J. Nathan Kutz
418
7
0
31 May 2024
Shallow Recurrent Decoder for Reduced Order Modeling of Plasma Dynamics
Shallow Recurrent Decoder for Reduced Order Modeling of Plasma Dynamics
J. Nathan Kutz
M. Reza
Farbod Faraji
A. Knoll
AI4CE
222
15
0
20 May 2024
Scalable Sparse Regression for Model Discovery: The Fast Lane to Insight
Scalable Sparse Regression for Model Discovery: The Fast Lane to Insight
Matthew Golden
184
5
0
14 May 2024
LLM4ED: Large Language Models for Automatic Equation Discovery
LLM4ED: Large Language Models for Automatic Equation Discovery
Mengge Du
Yuntian Chen
Zhongzheng Wang
Longfeng Nie
Dong-juan Zhang
304
12
0
13 May 2024
Machine Learning Techniques for Data Reduction of CFD Applications
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
238
4
0
28 Apr 2024
Automating the Discovery of Partial Differential Equations in Dynamical
  Systems
Automating the Discovery of Partial Differential Equations in Dynamical Systems
Weizhen Li
Rui Carvalho
353
3
0
25 Apr 2024
A Comprehensive Review of Latent Space Dynamics Identification
  Algorithms for Intrusive and Non-Intrusive Reduced-Order-Modeling
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
339
25
0
16 Mar 2024
SINDy-RL: Interpretable and Efficient Model-Based Reinforcement Learning
SINDy-RL: Interpretable and Efficient Model-Based Reinforcement Learning
Nicholas Zolman
Christian Lagemann
Urban Fasel
J. Nathan Kutz
Steven Brunton
AI4CE
391
24
0
14 Mar 2024
Rapid Bayesian identification of sparse nonlinear dynamics from scarce
  and noisy data
Rapid Bayesian identification of sparse nonlinear dynamics from scarce and noisy data
Lloyd Fung
Urban Fasel
M. Juniper
258
14
0
23 Feb 2024
Data-Driven Discovery of PDEs via the Adjoint Method
Data-Driven Discovery of PDEs via the Adjoint Method
Mohsen Sadr
Tony Tohme
Kamal Youcef-Toumi
PINN
524
1
0
30 Jan 2024
Sparse discovery of differential equations based on multi-fidelity
  Gaussian process
Sparse discovery of differential equations based on multi-fidelity Gaussian processJournal of Computational Physics (JCP), 2024
Yuhuang Meng
Yue Qiu
412
2
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 R2\boldsymbol{R^2}R2-elimination and Bayesian model selection
Daniel Nickelsen
B. Bah
312
1
0
22 Nov 2023
Weak-Form Latent Space Dynamics Identification
Weak-Form Latent Space Dynamics IdentificationComputer Methods in Applied Mechanics and Engineering (CMAME), 2023
April Tran
Xiaolong He
Daniel Messenger
Youngsoo Choi
David M. Bortz
379
29
0
20 Nov 2023
Learning Collective Behaviors from Observation
Learning Collective Behaviors from Observation
Jinchao Feng
Ming Zhong
391
3
0
01 Nov 2023
Coarse-Graining Hamiltonian Systems Using WSINDy
Coarse-Graining Hamiltonian Systems Using WSINDyScientific Reports (Sci Rep), 2023
Daniel Messenger
J. Burby
David M. Bortz
381
16
0
09 Oct 2023
PROSE: Predicting Operators and Symbolic Expressions using Multimodal
  Transformers
PROSE: Predicting Operators and Symbolic Expressions using Multimodal Transformers
Yuxuan Liu
Zecheng Zhang
Hayden Schaeffer
270
24
0
28 Sep 2023
Physics-constrained robust learning of open-form partial differential
  equations from limited and noisy data
Physics-constrained robust learning of open-form partial differential equations from limited and noisy dataThe Physics of Fluids (Phys. Fluids), 2023
Mengge Du
Yuntian Chen
Longfeng Nie
Siyu Lou
Dong-juan Zhang
AI4CE
401
15
0
14 Sep 2023
Weak-PDE-LEARN: A Weak Form Based Approach to Discovering PDEs From
  Noisy, Limited Data
Weak-PDE-LEARN: A Weak Form Based Approach to Discovering PDEs From Noisy, Limited DataJournal of Computational Physics (JCP), 2023
R. Stephany
Christopher Earls
263
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0
09 Sep 2023
Streaming Compression of Scientific Data via weak-SINDy
Streaming Compression of Scientific Data via weak-SINDySIAM Journal on Scientific Computing (SISC), 2023
Benjamin P. Russo
M. P. Laiu
Rick Archibald
267
8
0
29 Aug 2023
Adaptive Uncertainty-Guided Model Selection for Data-Driven PDE
  Discovery
Adaptive Uncertainty-Guided Model Selection for Data-Driven PDE DiscoveryIEEE Access (IEEE Access), 2023
Pongpisit Thanasutives
Takashi Morita
M. Numao
Ken-ichi Fukui
315
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20 Aug 2023
GPLaSDI: Gaussian Process-based Interpretable Latent Space Dynamics
  Identification through Deep Autoencoder
GPLaSDI: Gaussian Process-based Interpretable Latent Space Dynamics Identification through Deep AutoencoderComputer Methods in Applied Mechanics and Engineering (CMAME), 2023
Christophe Bonneville
Youngsoo Choi
Debojyoti Ghosh
Jonathan Belof
AI4CE
206
40
0
10 Aug 2023
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