$Improved identification accuracy in equation learning via comprehensive $\boldsymbol{R^2}$-elimination and Bayesian model selection$

v1v2 (latest)

Improved identification accuracy in equation learning via comprehensive $\boldsymbol{R^2}$ -elimination and Bayesian model selection

22 November 2023

Daniel Nickelsen

ArXiv (abs)PDF HTML

Papers citing "Improved identification accuracy in equation learning via comprehensive $\boldsymbol{R^2}$-elimination and Bayesian model selection"

13 / 13 papers shown

Title
Learning Sparse Nonlinear Dynamics via Mixed-Integer Optimization Dimitris Bertsimas Wes Gurnee AI4CE 77 46 0 01 Jun 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 84 150 0 12 Nov 2021
Priors in Bayesian Deep Learning: A Review Vincent Fortuin UQCV BDL 118 132 0 14 May 2021
Automatic Differentiation to Simultaneously Identify Nonlinear Dynamics and Extract Noise Probability Distributions from Data Kadierdan Kaheman Steven L. Brunton J. Nathan Kutz 46 83 0 12 Sep 2020
Weak SINDy For Partial Differential Equations Daniel Messenger David M. Bortz 68 178 0 06 Jul 2020
$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 A. Cortiella K. Park Alireza Doostan 31 73 0 27 May 2020
B-PINNs: Bayesian Physics-Informed Neural Networks for Forward and Inverse PDE Problems with Noisy Data Liu Yang Xuhui Meng George Karniadakis PINN 238 786 0 13 Mar 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 91 597 0 13 Jan 2020
A unified sparse optimization framework to learn parsimonious physics-informed models from data Kathleen P. Champion P. Zheng Aleksandr Aravkin Steven L. Brunton J. Nathan Kutz AI4CE 61 118 0 25 Jun 2019
AI Feynman: a Physics-Inspired Method for Symbolic Regression S. Udrescu Max Tegmark 163 881 0 27 May 2019
A Unified Framework for Sparse Relaxed Regularized Regression: SR3 P. Zheng T. Askham Steven L. Brunton J. Nathan Kutz Aleksandr Aravkin 43 139 0 14 Jul 2018
Learning Equations for Extrapolation and Control Subham S. Sahoo Christoph H. Lampert Georg Martius 51 234 0 19 Jun 2018
Extrapolation and learning equations Georg Martius Christoph H. Lampert 43 159 0 10 Oct 2016

We use cookies and other tracking technologies to improve your browsing experience on our website, to show you personalized content and targeted ads, to analyze our website traffic, and to understand where our visitors are coming from. See our policy.