Efficient training of physics-informed neural networks via importance sampling

26 April 2021

Papers citing "Efficient training of physics-informed neural networks via importance sampling"

28 / 28 papers shown

Title
A Deep Collocation Method for the Bending Analysis of Kirchhoff Plate Hongwei Guo X. Zhuang Timon Rabczuk AI4CE 48 436 0 04 Feb 2021
$NVIDIA SimNet^{TM}: an AI-accelerated multi-physics simulation framework$ NVIDIA SimNet^{TM}: an AI-accelerated multi-physics simulation framework O. Hennigh S. Narasimhan M. A. Nabian Akshay Subramaniam Kaustubh Tangsali M. Rietmann J. Ferrandis Wonmin Byeon Z. Fang S. Choudhry PINN AI4CE 115 128 0 14 Dec 2020
$Transfer learning enhanced physics informed neural network for phase-field modeling of fracture$ Transfer learning enhanced physics informed neural network for phase-field modeling of fracture S. Goswami C. Anitescu S. Chakraborty Timon Rabczuk PINN 61 609 0 04 Jul 2019
Machine learning in cardiovascular flows modeling: Predicting arterial blood pressure from non-invasive 4D flow MRI data using physics-informed neural networks Georgios Kissas Yibo Yang E. Hwuang W. Witschey John A. Detre P. Perdikaris AI4CE 118 373 0 13 May 2019
Physics-Constrained Deep Learning for High-dimensional Surrogate Modeling and Uncertainty Quantification without Labeled Data Yinhao Zhu N. Zabaras P. Koutsourelakis P. Perdikaris PINN AI4CE 92 867 0 18 Jan 2019
Data Driven Governing Equations Approximation Using Deep Neural Networks Tong Qin Kailiang Wu D. Xiu PINN 71 273 0 13 Nov 2018
Adversarial Uncertainty Quantification in Physics-Informed Neural Networks Yibo Yang P. Perdikaris AI4CE PINN 114 359 0 09 Nov 2018
Physics-Informed Generative Adversarial Networks for Stochastic Differential Equations Siyu Dai Shawn Schaffert Andreas G. Hofmann 113 365 0 05 Nov 2018
Deep Learning of Vortex Induced Vibrations M. Raissi Zhicheng Wang M. Triantafyllou George Karniadakis AI4CE 58 376 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 75 160 0 13 Aug 2018
Forward-Backward Stochastic Neural Networks: Deep Learning of High-dimensional Partial Differential Equations M. Raissi 94 187 0 19 Apr 2018
Not All Samples Are Created Equal: Deep Learning with Importance Sampling Angelos Katharopoulos François Fleuret 89 519 0 02 Mar 2018
Deep Hidden Physics Models: Deep Learning of Nonlinear Partial Differential Equations M. Raissi PINN AI4CE 112 754 0 20 Jan 2018
Physics Informed Deep Learning (Part I): Data-driven Solutions of Nonlinear Partial Differential Equations M. Raissi P. Perdikaris George Karniadakis PINN AI4CE 75 924 0 28 Nov 2017
A unified deep artificial neural network approach to partial differential equations in complex geometries Jens Berg K. Nystrom AI4CE 58 586 0 17 Nov 2017
PDE-Net: Learning PDEs from Data Zichao Long Yiping Lu Xianzhong Ma Bin Dong DiffM AI4CE 38 755 0 26 Oct 2017
The Deep Ritz method: A deep learning-based numerical algorithm for solving variational problems E. Weinan Ting Yu 117 1,387 0 30 Sep 2017
Deep Learning for Accelerated Reliability Analysis of Infrastructure Networks M. A. Nabian Hadi Meidani AI4CE 46 130 0 28 Aug 2017
DGM: A deep learning algorithm for solving partial differential equations Justin A. Sirignano K. Spiliopoulos AI4CE 91 2,060 0 24 Aug 2017
Deep learning-based numerical methods for high-dimensional parabolic partial differential equations and backward stochastic differential equations Weinan E Jiequn Han Arnulf Jentzen 119 797 0 15 Jun 2017
Biased Importance Sampling for Deep Neural Network Training Angelos Katharopoulos François Fleuret 50 68 0 31 May 2017
In-Datacenter Performance Analysis of a Tensor Processing Unit N. Jouppi C. Young Nishant Patil David Patterson Gaurav Agrawal ... Vijay Vasudevan Richard Walter Walter Wang Eric Wilcox Doe Hyun Yoon 233 4,630 0 16 Apr 2017
An overview of gradient descent optimization algorithms Sebastian Ruder ODL 202 6,184 0 15 Sep 2016
TensorFlow: A system for large-scale machine learning Martín Abadi P. Barham Jianmin Chen Zhiwen Chen Andy Davis ... Vijay Vasudevan Pete Warden Martin Wicke Yuan Yu Xiaoqiang Zhang GNN AI4CE 429 18,346 0 27 May 2016
Variance Reduction in SGD by Distributed Importance Sampling Guillaume Alain Alex Lamb Chinnadhurai Sankar Aaron Courville Yoshua Bengio FedML 79 199 0 20 Nov 2015
Automatic differentiation in machine learning: a survey A. G. Baydin Barak A. Pearlmutter Alexey Radul J. Siskind PINN AI4CE ODL 156 2,800 0 20 Feb 2015
Adam: A Method for Stochastic Optimization Diederik P. Kingma Jimmy Ba ODL 1.7K 150,006 0 22 Dec 2014
ADADELTA: An Adaptive Learning Rate Method Matthew D. Zeiler ODL 146 6,626 0 22 Dec 2012