Hidden Fluid Mechanics: A Navier-Stokes Informed Deep Learning Framework
for Assimilating Flow Visualization Data

Hidden Fluid Mechanics: A Navier-Stokes Informed Deep Learning Framework for Assimilating Flow Visualization Data

13 August 2018

George Karniadakis

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Papers citing "Hidden Fluid Mechanics: A Navier-Stokes Informed Deep Learning Framework for Assimilating Flow Visualization Data"

18 / 18 papers shown

Title
Data-driven Modeling of Combined Sewer Systems for Urban Sustainability: An Empirical Evaluation Vipin Singh Tianheng Ling Teodor Chiaburu Felix Biessmann AI4CE 69 1 0 21 Aug 2024
Iterative Surrogate Model Optimization (ISMO): An active learning algorithm for PDE constrained optimization with deep neural networks K. Lye Siddhartha Mishra Deep Ray P. Chandrasekhar 65 77 0 13 Aug 2020
Neural Ordinary Differential Equations T. Chen Yulia Rubanova J. Bettencourt David Duvenaud AI4CE 429 5,156 0 19 Jun 2018
Forward-Backward Stochastic Neural Networks: Deep Learning of High-dimensional Partial Differential Equations M. Raissi 104 188 0 19 Apr 2018
Deep Hidden Physics Models: Deep Learning of Nonlinear Partial Differential Equations M. Raissi PINN AI4CE 120 755 0 20 Jan 2018
Multistep Neural Networks for Data-driven Discovery of Nonlinear Dynamical Systems M. Raissi P. Perdikaris George Karniadakis PINN 149 266 0 04 Jan 2018
Physics Informed Deep Learning (Part II): Data-driven Discovery of Nonlinear Partial Differential Equations M. Raissi P. Perdikaris George Karniadakis PINN AI4CE 91 614 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 82 931 0 28 Nov 2017
Hidden Physics Models: Machine Learning of Nonlinear Partial Differential Equations M. Raissi George Karniadakis AI4CE PINN 75 1,137 0 02 Aug 2017
Parametric Gaussian Process Regression for Big Data M. Raissi 81 39 0 11 Apr 2017
Numerical Gaussian Processes for Time-dependent and Non-linear Partial Differential Equations M. Raissi P. Perdikaris George Karniadakis 90 268 0 29 Mar 2017
Machine Learning of Linear Differential Equations using Gaussian Processes M. Raissi George Karniadakis 83 553 0 10 Jan 2017
Inferring solutions of differential equations using noisy multi-fidelity data M. Raissi P. Perdikaris George Karniadakis AI4CE 59 290 0 16 Jul 2016
On the Expressive Power of Deep Neural Networks M. Raghu Ben Poole Jon M. Kleinberg Surya Ganguli Jascha Narain Sohl-Dickstein 63 790 0 16 Jun 2016
Deep Multi-fidelity Gaussian Processes M. Raissi George Karniadakis 58 55 0 26 Apr 2016
TensorFlow: Large-Scale Machine Learning on Heterogeneous Distributed Systems Martín Abadi Ashish Agarwal P. Barham E. Brevdo Zhiwen Chen ... Pete Warden Martin Wattenberg Martin Wicke Yuan Yu Xiaoqiang Zheng 282 11,151 0 14 Mar 2016
Automatic differentiation in machine learning: a survey A. G. Baydin Barak A. Pearlmutter Alexey Radul J. Siskind PINN AI4CE ODL 168 2,814 0 20 Feb 2015
Adam: A Method for Stochastic Optimization Diederik P. Kingma Jimmy Ba ODL 2.0K 150,260 0 22 Dec 2014