Title
Impilict Runge-Kutta based sparse identification of governing equations in biologically motivated systems Mehrdad Anvari Hamidreza Marasi Hossein Kheiri 57 0 0 27 Feb 2025
Al-Khwarizmi: Discovering Physical Laws with Foundation Models Christopher E. Mower Haitham Bou-Ammar AI4CE 74 1 0 03 Feb 2025
No Equations Needed: Learning System Dynamics Without Relying on Closed-Form ODEs Krzysztof Kacprzyk M. Schaar 103 0 0 30 Jan 2025
Machine learning for cerebral blood vessels' malformations Irem Topal Alexander Cherevko Yuri Bugay Maxim Shishlenin Jean Barbier Deniz Eroglu Édgar Roldán Roman Belousov 69 0 0 25 Nov 2024
Data-driven model reconstruction for nonlinear wave dynamics E. Smolina L. Smirnov Daniel Leykam Franco Nori D. Smirnova 67 0 0 18 Nov 2024
LES-SINDy: Laplace-Enhanced Sparse Identification of Nonlinear Dynamical Systems Haoyang Zheng Guang Lin 36 1 0 04 Nov 2024
Stabilizing black-box model selection with the inflated argmax Melissa Adrian Jake A. Soloff Rebecca Willett 30 0 0 23 Oct 2024
Solving the 2D Advection-Diffusion Equation using Fixed-Depth Symbolic Regression and Symbolic Differentiation without Expression Trees Edward Finkelstein 26 0 0 18 Oct 2024
UniFIDES: Universal Fractional Integro-Differential Equation Solvers Milad Saadat Deepak Mangal Safa Jamali AI4CE 35 1 0 01 Jul 2024
Unit-Aware Genetic Programming for the Development of Empirical Equations J. Reuter Viktor Martinek Roland Herzog Sanaz Mostaghim 33 2 0 29 May 2024
Shallow Recurrent Decoder for Reduced Order Modeling of Plasma Dynamics J. Nathan Kutz M. Reza Farbod Faraji A. Knoll AI4CE 21 9 0 20 May 2024
Constrained Exploration via Reflected Replica Exchange Stochastic Gradient Langevin Dynamics Haoyang Zheng Hengrong Du Qi Feng Wei Deng Guang Lin 39 4 0 13 May 2024
A data-driven approach to modeling brain activity using differential equations Kuratov Andrey 18 0 0 14 Apr 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
SINDy vs Hard Nonlinearities and Hidden Dynamics: a Benchmarking Study Aurelio Raffa Ugolini Valentina Breschi Andrea Manzoni M. Tanelli 32 2 0 01 Mar 2024
Sparse discovery of differential equations based on multi-fidelity Gaussian process Yuhuang Meng Yue Qiu 56 0 0 22 Jan 2024
SymbolNet: Neural Symbolic Regression with Adaptive Dynamic Pruning for Compression Ho Fung Tsoi Vladimir Loncar S. Dasu Philip C. Harris 29 3 0 18 Jan 2024
Closed-Form Interpretation of Neural Network Classifiers with Symbolic Regression Gradients S. J. Wetzel 18 1 0 10 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 22 0 0 22 Nov 2023
Weak-Form Latent Space Dynamics Identification April Tran Xiaolong He Daniel Messenger Youngsoo Choi David M. Bortz 31 7 0 20 Nov 2023
Finding Real-World Orbital Motion Laws from Data Joao Funenga Marta Guimarães Henrique Costa Cláudia Soares 18 0 0 16 Nov 2023
Symbolic Regression as Feature Engineering Method for Machine and Deep Learning Regression Tasks Assaf Shmuel Oren Glickman Teddy Lazebnik 38 9 0 10 Nov 2023
Discovering Interpretable Physical Models using Symbolic Regression and Discrete Exterior Calculus Simone Manti Alessandro Lucantonio AI4CE 14 4 0 10 Oct 2023
HyperSINDy: Deep Generative Modeling of Nonlinear Stochastic Governing Equations Mozes Jacobs Bingni W. Brunton Steven L. Brunton J. Nathan Kutz Ryan V. Raut 11 8 0 07 Oct 2023
Detach-ROCKET: Sequential feature selection for time series classification with random convolutional kernels Gonzalo Uribarri Federico Barone A. Ansuini Erik Fransén AI4TS 37 6 0 25 Sep 2023
Learning noise-induced transitions by multi-scaling reservoir computing Zequn Lin Zhaofan Lu Zengru Di Ying Tang 25 4 0 11 Sep 2023
Adaptive Uncertainty-Guided Model Selection for Data-Driven PDE Discovery Pongpisit Thanasutives Takashi Morita M. Numao Ken-ichi Fukui 22 2 0 20 Aug 2023
Directed differential equation discovery using modified mutation and cross-over operators E. Ivanchik A. Hvatov 11 0 0 09 Aug 2023
Exact identification of nonlinear dynamical systems by Trimmed Lasso Shawn L. Kiser M. Guskov Marc Rébillat N. Ranc 15 1 0 03 Aug 2023
PyKoopman: A Python Package for Data-Driven Approximation of the Koopman Operator Shaowu Pan E. Kaiser Brian M. de Silva J. Nathan Kutz Steven L. Brunton 19 8 0 22 Jun 2023
Generalized Teacher Forcing for Learning Chaotic Dynamics Florian Hess Zahra Monfared Manuela Brenner Daniel Durstewitz AI4CE 27 30 0 07 Jun 2023
Interpretable Machine Learning for Science with PySR and SymbolicRegression.jl M. Cranmer 41 39 0 02 May 2023
OKRidge: Scalable Optimal k-Sparse Ridge Regression Jiachang Liu Sam Rosen Chudi Zhong Cynthia Rudin 14 4 0 13 Apr 2023
Machine Learning for Partial Differential Equations Steven L. Brunton J. Nathan Kutz AI4CE 32 20 0 30 Mar 2023
Machine learning with data assimilation and uncertainty quantification for dynamical systems: a review Sibo Cheng César Quilodrán-Casas Said Ouala A. Farchi Che Liu ... Weiping Ding Yike Guo A. Carrassi Marc Bocquet Rossella Arcucci AI4CE 32 124 0 18 Mar 2023
Zyxin is all you need: machine learning adherent cell mechanics Matthew S. Schmitt Jonathan Colen S. Sala J. Devany Shailaja Seetharaman M. Gardel Patrick W. Oakes Vincenzo Vitelli AI4CE 14 9 0 01 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 19 17 0 26 Feb 2023
ConCerNet: A Contrastive Learning Based Framework for Automated Conservation Law Discovery and Trustworthy Dynamical System Prediction Wang Zhang Tsui-Wei Weng Subhro Das Alexandre Megretski Lucani E. Daniel Lam M. Nguyen PINN 21 3 0 11 Feb 2023
Benchmarking sparse system identification with low-dimensional chaos A. Kaptanoglu Lanyue Zhang Zachary G. Nicolaou Urban Fasel Steven L. Brunton 32 20 0 04 Feb 2023
Convergence of uncertainty estimates in Ensemble and Bayesian sparse model discovery Liyao (Mars) Gao Urban Fasel Steven L. Brunton J. Nathan Kutz 24 12 0 30 Jan 2023
SIMPLE: A Gradient Estimator for $k$ -Subset Sampling Kareem Ahmed Zhe Zeng Mathias Niepert Guy Van den Broeck BDL 36 24 0 04 Oct 2022
A computational framework for physics-informed symbolic regression with straightforward integration of domain knowledge Liron Simon Keren A. Liberzon Teddy Lazebnik 25 81 0 13 Sep 2022
Model-Based Reinforcement Learning with SINDy Rushiv Arora Bruno C. da Silva E. Moss AI4CE 19 6 0 30 Aug 2022
Interpretable Polynomial Neural Ordinary Differential Equations Colby Fronk Linda R. Petzold 27 26 0 09 Aug 2022
Noise-aware Physics-informed Machine Learning for Robust PDE Discovery Pongpisit Thanasutives Takeshi Morita M. Numao Ken-ichi Fukui PINN AI4CE 10 18 0 26 Jun 2022
D-CIPHER: Discovery of Closed-form Partial Differential Equations Krzysztof Kacprzyk Zhaozhi Qian M. Schaar AI4CE 19 1 0 21 Jun 2022
Learning Sparse Nonlinear Dynamics via Mixed-Integer Optimization Dimitris Bertsimas Wes Gurnee AI4CE 23 43 0 01 Jun 2022
Learning continuous models for continuous physics Aditi S. Krishnapriyan A. Queiruga N. Benjamin Erichson Michael W. Mahoney AI4CE 21 32 0 17 Feb 2022
Discovering Governing Equations from Partial Measurements with Deep Delay Autoencoders Joseph Bakarji Kathleen P. Champion J. Nathan Kutz Steven L. Brunton 32 82 0 13 Jan 2022
A toolkit for data-driven discovery of governing equations in high-noise regimes Charles B. Delahunt J. Nathan Kutz 32 18 0 08 Nov 2021