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A unified sparse optimization framework to learn parsimonious physics-informed models from data

25 June 2019

Steven L. Brunton

Papers citing "A unified sparse optimization framework to learn parsimonious physics-informed models from data"

28 / 28 papers shown

Title
Discovering dynamical laws for speech gestures Sam Kirkham 31 2 0 07 Apr 2025
ADAM-SINDy: An Efficient Optimization Framework for Parameterized Nonlinear Dynamical System Identification Siva Viknesh Younes Tatari Amirhossein Arzani 113 3 0 21 Oct 2024
Parametric PDE Control with Deep Reinforcement Learning and Differentiable L0-Sparse Polynomial Policies N. Botteghi Urban Fasel AI4CE 103 6 0 22 Mar 2024
Data-driven local operator finding for reduced-order modelling of plasma systems: I. Concept and verifications Farbod Faraji M. Reza A. Knoll J. Nathan Kutz 55 7 0 03 Mar 2024
Dynamical System Identification, Model Selection and Model Uncertainty Quantification by Bayesian Inference R. Niven Laurent Cordier Ali Mohammad-Djafari Markus Abel M. Quade 101 7 0 30 Jan 2024
Sparse identification of nonlinear dynamics in the presence of library and system uncertainty Andrew O'Brien 61 0 0 23 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 122 0 0 22 Nov 2023
HyperSINDy: Deep Generative Modeling of Nonlinear Stochastic Governing Equations Mozes Jacobs Bingni W. Brunton Steven L. Brunton J. Nathan Kutz Ryan V. Raut 69 10 0 07 Oct 2023
An analysis of Universal Differential Equations for data-driven discovery of Ordinary Differential Equations Mattia Silvestri Federico Baldo Eleonora Misino M. Lombardi AI4CE 40 1 0 17 Jun 2023
OKRidge: Scalable Optimal k-Sparse Ridge Regression Jiachang Liu Sam Rosen Chudi Zhong Cynthia Rudin 47 5 0 13 Apr 2023
Benchmarking sparse system identification with low-dimensional chaos A. Kaptanoglu Lanyue Zhang Zachary G. Nicolaou Urban Fasel Steven L. Brunton 103 24 0 04 Feb 2023
Hierarchical shrinkage Gaussian processes: applications to computer code emulation and dynamical system recovery T. Tang Simon Mak David B. Dunson 62 4 0 01 Feb 2023
Deep networks for system identification: a Survey G. Pillonetto Aleksandr Aravkin Daniel Gedon L. Ljung Antônio H. Ribeiro Thomas B. Schon OOD 109 45 0 30 Jan 2023
Investigating Sindy As a Tool For Causal Discovery In Time Series Signals Andrew O'Brien Rosina O. Weber Edward J. Kim CML 63 6 0 29 Dec 2022
Learning Sparse Nonlinear Dynamics via Mixed-Integer Optimization Dimitris Bertsimas Wes Gurnee AI4CE 84 46 0 01 Jun 2022
Discrepancy Modeling Framework: Learning missing physics, modeling systematic residuals, and disambiguating between deterministic and random effects Megan R. Ebers K. Steele J. Nathan Kutz 85 16 0 10 Mar 2022
PySINDy: A comprehensive Python package for robust sparse system identification A. Kaptanoglu Brian M. de Silva Urban Fasel Kadierdan Kaheman Andy J. Goldschmidt ... Zachary G. Nicolaou Kathleen P. Champion Jean-Christophe Loiseau J. Nathan Kutz Steven L. Brunton AI4CE 104 154 0 12 Nov 2021
A toolkit for data-driven discovery of governing equations in high-noise regimes Charles B. Delahunt J. Nathan Kutz 107 19 0 08 Nov 2021
Deeptime: a Python library for machine learning dynamical models from time series data Moritz Hoffmann Martin K. Scherer Tim Hempel Andreas Mardt Brian M. de Silva ... Stefan Klus Hao Wu N. Kutz Steven L. Brunton Frank Noé AI4CE 101 107 0 28 Oct 2021
Robust Trimmed k-means Olga Dorabiala J. Nathan Kutz Aleksandr Aravkin OOD 44 12 0 16 Aug 2021
DySMHO: Data-Driven Discovery of Governing Equations for Dynamical Systems via Moving Horizon Optimization F. Lejarza M. Baldea AI4CE 84 39 0 30 Jul 2021
Uncovering Closed-form Governing Equations of Nonlinear Dynamics from Videos Lele Luan Yang Liu Hao Sun PINN AI4CE 45 0 0 09 Jun 2021
Discovery of Nonlinear Dynamical Systems using a Runge-Kutta Inspired Dictionary-based Sparse Regression Approach P. Goyal P. Benner 76 49 0 11 May 2021
A Deep Learning Approach for Predicting Spatiotemporal Dynamics From Sparsely Observed Data Priyabrata Saha Saibal Mukhopadhyay AI4CE 92 5 0 30 Nov 2020
Sparsely constrained neural networks for model discovery of PDEs G. Both Gijs Vermarien R. Kusters 20 5 0 09 Nov 2020
Automatic Differentiation to Simultaneously Identify Nonlinear Dynamics and Extract Noise Probability Distributions from Data Kadierdan Kaheman Steven L. Brunton J. Nathan Kutz 85 84 0 12 Sep 2020
SINDy-PI: A Robust Algorithm for Parallel Implicit Sparse Identification of Nonlinear Dynamics Kadierdan Kaheman J. Nathan Kutz Steven L. Brunton 76 275 0 05 Apr 2020
Universal Differential Equations for Scientific Machine Learning Christopher Rackauckas Yingbo Ma Julius Martensen Collin Warner K. Zubov R. Supekar Dominic J. Skinner Ali Ramadhan Alan Edelman AI4CE 117 599 0 13 Jan 2020