Multi-Grade Deep Learning for Partial Differential Equations with Applications to the Burgers Equation

14 September 2023

Papers citing "Multi-Grade Deep Learning for Partial Differential Equations with Applications to the Burgers Equation"

15 / 15 papers shown

Title
Successive Affine Learning for Deep Neural Networks Yuesheng Xu 52 2 0 13 May 2023
Multi-Grade Deep Learning Yuesheng Xu 54 4 0 01 Feb 2023
Sparse Deep Neural Network for Nonlinear Partial Differential Equations Yuesheng Xu T. Zeng 56 5 0 27 Jul 2022
Scientific Machine Learning through Physics-Informed Neural Networks: Where we are and What's next S. Cuomo Vincenzo Schiano Di Cola F. Giampaolo G. Rozza Maizar Raissi F. Piccialli PINN 114 1,271 0 14 Jan 2022
Convergence of Deep Convolutional Neural Networks Yuesheng Xu Haizhang Zhang MLT 72 47 0 28 Sep 2021
DeepXDE: A deep learning library for solving differential equations Lu Lu Xuhui Meng Zhiping Mao George Karniadakis PINN AI4CE 99 1,540 0 10 Jul 2019
Deep Network Approximation Characterized by Number of Neurons Zuowei Shen Haizhao Yang Shijun Zhang 56 185 0 13 Jun 2019
On Lipschitz Bounds of General Convolutional Neural Networks Dongmian Zou R. Balan Maneesh Kumar Singh 48 54 0 04 Aug 2018
Universality of Deep Convolutional Neural Networks Ding-Xuan Zhou HAI PINN 412 517 0 28 May 2018
Deep Hidden Physics Models: Deep Learning of Nonlinear Partial Differential Equations M. Raissi PINN AI4CE 120 755 0 20 Jan 2018
The Deep Ritz method: A deep learning-based numerical algorithm for solving variational problems E. Weinan Ting Yu 123 1,389 0 30 Sep 2017
DGM: A deep learning algorithm for solving partial differential equations Justin A. Sirignano K. Spiliopoulos AI4CE 91 2,066 0 24 Aug 2017
Attention Is All You Need Ashish Vaswani Noam M. Shazeer Niki Parmar Jakob Uszkoreit Llion Jones Aidan Gomez Lukasz Kaiser Illia Polosukhin 3DV 730 132,363 0 12 Jun 2017
Why and When Can Deep -- but Not Shallow -- Networks Avoid the Curse of Dimensionality: a Review T. Poggio H. Mhaskar Lorenzo Rosasco Brando Miranda Q. Liao 124 576 0 02 Nov 2016
Adam: A Method for Stochastic Optimization Diederik P. Kingma Jimmy Ba ODL 2.0K 150,312 0 22 Dec 2014