Self-adaptive deep neural network: Numerical approximation to functions and PDEs

7 September 2021

Papers citing "Self-adaptive deep neural network: Numerical approximation to functions and PDEs"

9 / 9 papers shown

Title
Least-Squares ReLU Neural Network (LSNN) Method For Linear Advection-Reaction Equation Z. Cai Jingshuang Chen Min Liu PINN 64 47 0 25 May 2021
Least-Squares ReLU Neural Network (LSNN) Method For Scalar Nonlinear Hyperbolic Conservation Law Z. Cai Jingshuang Chen Min Liu PINN 43 25 0 25 May 2021
Deep least-squares methods: an unsupervised learning-based numerical method for solving elliptic PDEs Z. Cai Jingshuang Chen Min Liu Xinyu Liu 47 89 0 05 Nov 2019
A unified deep artificial neural network approach to partial differential equations in complex geometries Jens Berg K. Nystrom AI4CE 61 586 0 17 Nov 2017
The Deep Ritz method: A deep learning-based numerical algorithm for solving variational problems E. Weinan Ting Yu 121 1,387 0 30 Sep 2017
DGM: A deep learning algorithm for solving partial differential equations Justin A. Sirignano K. Spiliopoulos AI4CE 91 2,063 0 24 Aug 2017
Optimization Methods for Large-Scale Machine Learning Léon Bottou Frank E. Curtis J. Nocedal 246 3,216 0 15 Jun 2016
Adam: A Method for Stochastic Optimization Diederik P. Kingma Jimmy Ba ODL 1.8K 150,115 0 22 Dec 2014
Natural Language Processing (almost) from Scratch R. Collobert Jason Weston Léon Bottou Michael Karlen Koray Kavukcuoglu Pavel P. Kuksa 188 7,726 0 02 Mar 2011