Inferring solutions of differential equations using noisy multi-fidelity data

16 July 2016

Papers citing "Inferring solutions of differential equations using noisy multi-fidelity data"

27 / 77 papers shown

Title
Temporal Normalizing Flows G. Both R. Kusters AI4TS 50 12 0 19 Dec 2019
Learning the Tangent Space of Dynamical Instabilities from Data Antoine Blanchard T. Sapsis 134 8 0 24 Jul 2019
Physics Informed Extreme Learning Machine (PIELM) -- A rapid method for the numerical solution of partial differential equations Vikas Dwivedi Balaji Srinivasan PINN 79 194 0 08 Jul 2019
Physical Symmetries Embedded in Neural Networks M. Mattheakis P. Protopapas D. Sondak Marco Di Giovanni E. Kaxiras PINN 82 71 0 18 Apr 2019
Decomposing Temperature Time Series with Non-Negative Matrix Factorization P. Weiderer A. Tomé E. Lang AI4CE 8 4 0 03 Apr 2019
A physics-aware, probabilistic machine learning framework for coarse-graining high-dimensional systems in the Small Data regime Constantin Grigo P. Koutsourelakis AI4CE 129 26 0 11 Feb 2019
Adversarial Uncertainty Quantification in Physics-Informed Neural Networks Yibo Yang P. Perdikaris AI4CE PINN 148 361 0 09 Nov 2018
Deep Learning of Vortex Induced Vibrations M. Raissi Zhicheng Wang M. Triantafyllou George Karniadakis AI4CE 81 378 0 26 Aug 2018
Hidden Fluid Mechanics: A Navier-Stokes Informed Deep Learning Framework for Assimilating Flow Visualization Data M. Raissi A. Yazdani George Karniadakis AI4CE PINN 99 161 0 13 Aug 2018
Deep convolutional recurrent autoencoders for learning low-dimensional feature dynamics of fluid systems F. J. Gonzalez Maciej Balajewicz AI4CE 150 140 0 03 Aug 2018
Machine Learning of Space-Fractional Differential Equations Mamikon A. Gulian M. Raissi P. Perdikaris George Karniadakis 109 47 0 02 Aug 2018
Neural-net-induced Gaussian process regression for function approximation and PDE solution G. Pang Liu Yang George Karniadakis 78 73 0 22 Jun 2018
De-noising by thresholding operator adapted wavelets G. Yoo H. Owhadi 43 7 0 28 May 2018
Forward-Backward Stochastic Neural Networks: Deep Learning of High-dimensional Partial Differential Equations M. Raissi 116 188 0 19 Apr 2018
Learning unknown ODE models with Gaussian processes Markus Heinonen Çağatay Yıldız Henrik Mannerstrom Jukka Intosalmi Harri Lähdesmäki 58 94 0 12 Mar 2018
Deep Hidden Physics Models: Deep Learning of Nonlinear Partial Differential Equations M. Raissi PINN AI4CE 130 758 0 20 Jan 2018
Multistep Neural Networks for Data-driven Discovery of Nonlinear Dynamical Systems M. Raissi P. Perdikaris George Karniadakis PINN 158 266 0 04 Jan 2018
Inverse modeling of hydrologic systems with adaptive multi-fidelity Markov chain Monte Carlo simulations Jiangjiang Zhang J. Man Guang Lin Laosheng Wu L. Zeng 67 41 0 06 Dec 2017
Physics Informed Deep Learning (Part II): Data-driven Discovery of Nonlinear Partial Differential Equations M. Raissi P. Perdikaris George Karniadakis PINN AI4CE 101 615 0 28 Nov 2017
Physics Informed Deep Learning (Part I): Data-driven Solutions of Nonlinear Partial Differential Equations M. Raissi P. Perdikaris George Karniadakis PINN AI4CE 95 933 0 28 Nov 2017
Hidden Physics Models: Machine Learning of Nonlinear Partial Differential Equations M. Raissi George Karniadakis AI4CE PINN 117 1,144 0 02 Aug 2017
Optimal fidelity multi-level Monte Carlo for quantification of uncertainty in simulations of cloud cavitation collapse J. Sukys U. Rasthofer F. Wermelinger P. Hadjidoukas Petros Koumoutsakos 49 11 0 11 May 2017
Universal Scalable Robust Solvers from Computational Information Games and fast eigenspace adapted Multiresolution Analysis H. Owhadi C. Scovel 76 28 0 31 Mar 2017
Numerical Gaussian Processes for Time-dependent and Non-linear Partial Differential Equations M. Raissi P. Perdikaris George Karniadakis 117 269 0 29 Mar 2017
Bayesian Probabilistic Numerical Methods Jon Cockayne Chris J. Oates T. Sullivan Mark Girolami 106 166 0 13 Feb 2017
Machine Learning of Linear Differential Equations using Gaussian Processes M. Raissi George Karniadakis 85 553 0 10 Jan 2017
Gamblets for opening the complexity-bottleneck of implicit schemes for hyperbolic and parabolic ODEs/PDEs with rough coefficients H. Owhadi Lei Zhang AI4CE 72 71 0 24 Jun 2016