Parsimony-Enhanced Sparse Bayesian Learning for Robust Discovery of Partial Differential Equations

8 July 2021

Papers citing "Parsimony-Enhanced Sparse Bayesian Learning for Robust Discovery of Partial Differential Equations"

15 / 15 papers shown

Title
Gaussian processes meet NeuralODEs: A Bayesian framework for learning the dynamics of partially observed systems from scarce and noisy data Mohamed Aziz Bhouri P. Perdikaris 69 21 0 04 Mar 2021
Bayesian data-driven discovery of partial differential equations with variable coefficients Ao-xue Chen Yifan Du Liyao (Mars) Gao Guang Lin 27 8 0 02 Feb 2021
Data-driven Identification of 2D Partial Differential Equations using extracted physical features Kazem Meidani A. Farimani 54 17 0 20 Oct 2020
DLGA-PDE: Discovery of PDEs with incomplete candidate library via combination of deep learning and genetic algorithm Hao Xu Haibin Chang Dongxiao Zhang AI4CE 54 89 0 21 Jan 2020
Learning Partial Differential Equations from Data Using Neural Networks Ali Hasan João M. Pereira Robert J. Ravier Sina Farsiu Vahid Tarokh 35 18 0 22 Oct 2019
Machine Discovery of Partial Differential Equations from Spatiotemporal Data Ye Yuan Junlin Li Liang Li Frank Jiang Xiuchuan Tang ... J. Gonçalves H. Voss Xiuting Li J. Kurths Han Ding AI4CE 39 9 0 15 Sep 2019
DL-PDE: Deep-learning based data-driven discovery of partial differential equations from discrete and noisy data Hao Xu Haibin Chang Dongxiao Zhang AI4CE 57 70 0 13 Aug 2019
SubTSBR to tackle high noise and outliers for data-driven discovery of differential equations Sheng Zhang Guang Lin 23 6 0 17 Jul 2019
DeepMoD: Deep learning for Model Discovery in noisy data G. Both Subham Choudhury P. Sens R. Kusters 58 116 0 20 Apr 2019
Data-driven PDE discovery with evolutionary approach M. Maslyaev A. Hvatov Anna V. Kaluzhnaya 46 25 0 19 Mar 2019
PDE-Net 2.0: Learning PDEs from Data with A Numeric-Symbolic Hybrid Deep Network Zichao Long Yiping Lu Bin Dong AI4CE 76 553 0 30 Nov 2018
Data-driven discovery of PDEs in complex datasets Jens Berg K. Nystrom AI4CE PINN 64 141 0 31 Aug 2018
Hidden Physics Models: Machine Learning of Nonlinear Partial Differential Equations M. Raissi George Karniadakis AI4CE PINN 80 1,137 0 02 Aug 2017
Automatic differentiation in machine learning: a survey A. G. Baydin Barak A. Pearlmutter Alexey Radul J. Siskind PINN AI4CE ODL 172 2,816 0 20 Feb 2015
Statistical Learning Theory: Models, Concepts, and Results U. V. Luxburg Bernhard Schölkopf 124 245 0 27 Oct 2008