$Sparse Identification of Nonlinear Dynamical Systems via Reweighted $\ell_1$-regularized Least Squares$

Sparse Identification of Nonlinear Dynamical Systems via Reweighted $\ell_1$ -regularized Least Squares

27 May 2020

Alireza Doostan

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Papers citing "Sparse Identification of Nonlinear Dynamical Systems via Reweighted $\ell_1$-regularized Least Squares"

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Title
True Zero-Shot Inference of Dynamical Systems Preserving Long-Term Statistics Christoph Jürgen Hemmer Daniel Durstewitz AI4TS SyDa AI4CE 292 1 0 19 May 2025
Impilict Runge-Kutta based sparse identification of governing equations in biologically motivated systems Mehrdad Anvari Hamidreza Marasi Hossein Kheiri 143 0 0 27 Feb 2025
Almost-Linear RNNs Yield Highly Interpretable Symbolic Codes in Dynamical Systems Reconstruction Manuel Brenner Christoph Jürgen Hemmer Zahra Monfared Daniel Durstewitz AI4CE 68 4 0 18 Oct 2024
Minimum Reduced-Order Models via Causal Inference Nan Chen Honghu Liu CML 43 0 0 29 Jun 2024
Automating the Discovery of Partial Differential Equations in Dynamical Systems Weizhen Li Rui Carvalho 71 1 0 25 Apr 2024
Out-of-Domain Generalization in Dynamical Systems Reconstruction Niclas Alexander Göring Florian Hess Manuel Brenner Zahra Monfared Daniel Durstewitz AI4CE 102 16 0 28 Feb 2024
Sparse discovery of differential equations based on multi-fidelity Gaussian process Yuhuang Meng Yue Qiu 136 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 113 0 0 22 Nov 2023
Symbolic Regression on Sparse and Noisy Data with Gaussian Processes Junette Hsin Shubhankar Agarwal Adam J. Thorpe Luis Sentis David Fridovich-Keil 115 2 0 20 Sep 2023
Exact identification of nonlinear dynamical systems by Trimmed Lasso Shawn L. Kiser M. Guskov Marc Rébillat N. Ranc 109 1 0 03 Aug 2023
Automatically identifying ordinary differential equations from data Kevin Egan Weizhen Li Rui Carvalho 21 2 0 21 Apr 2023
Asymptotic consistency of the WSINDy algorithm in the limit of continuum data Daniel Messenger David M. Bortz 139 13 0 29 Nov 2022
A Causality-Based Learning Approach for Discovering the Underlying Dynamics of Complex Systems from Partial Observations with Stochastic Parameterization Nan Chen Yinling Zhang CML 68 15 0 19 Aug 2022
A Priori Denoising Strategies for Sparse Identification of Nonlinear Dynamical Systems: A Comparative Study A. Cortiella K. Park Alireza Doostan 64 15 0 29 Jan 2022
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 85 16 0 01 Oct 2021
$Asymptotic Theory of $\ell_1$-Regularized PDE Identification from a Single Noisy Trajectory$ Asymptotic Theory of $\ell_1$ -Regularized PDE Identification from a Single Noisy Trajectory Yuchen He Namjoon Suh X. Huo Sungha Kang Y. Mei 110 1 0 12 Mar 2021
Weak SINDy For Partial Differential Equations Daniel Messenger David M. Bortz 88 178 0 06 Jul 2020