Approximation properties of Residual Neural Networks for Kolmogorov PDEs

30 October 2021

Papers citing "Approximation properties of Residual Neural Networks for Kolmogorov PDEs"

13 / 13 papers shown

Title
Space-time deep neural network approximations for high-dimensional partial differential equations F. Hornung Arnulf Jentzen Diyora Salimova AI4CE 60 20 0 03 Jun 2020
Neural ODEs as the Deep Limit of ResNets with constant weights B. Avelin K. Nystrom ODL 134 32 0 28 Jun 2019
Approximation spaces of deep neural networks Rémi Gribonval Gitta Kutyniok M. Nielsen Felix Voigtländer 104 125 0 03 May 2019
A Theoretical Analysis of Deep Neural Networks and Parametric PDEs Gitta Kutyniok P. Petersen Mones Raslan R. Schneider 95 198 0 31 Mar 2019
A Priori Estimates of the Population Risk for Residual Networks E. Weinan Chao Ma Qingcan Wang UQCV 83 61 0 06 Mar 2019
Data Driven Governing Equations Approximation Using Deep Neural Networks Tong Qin Kailiang Wu D. Xiu PINN 81 275 0 13 Nov 2018
Solving the Kolmogorov PDE by means of deep learning C. Beck S. Becker Philipp Grohs Nor Jaafari Arnulf Jentzen 66 95 0 01 Jun 2018
The Deep Ritz method: A deep learning-based numerical algorithm for solving variational problems E. Weinan Ting Yu 125 1,393 0 30 Sep 2017
Wider or Deeper: Revisiting the ResNet Model for Visual Recognition Zifeng Wu Chunhua Shen Anton Van Den Hengel SSeg 641 1,523 0 30 Nov 2016
Residual Networks of Residual Networks: Multilevel Residual Networks Ke Zhang Miao Sun T. Han Xingfang Yuan Liru Guo Tao Liu 95 307 0 09 Aug 2016
Identity Mappings in Deep Residual Networks Kaiming He Xinming Zhang Shaoqing Ren Jian Sun 354 10,204 0 16 Mar 2016
Inception-v4, Inception-ResNet and the Impact of Residual Connections on Learning Christian Szegedy Sergey Ioffe Vincent Vanhoucke Alexander A. Alemi 382 14,280 0 23 Feb 2016
Delving Deep into Rectifiers: Surpassing Human-Level Performance on ImageNet Classification Kaiming He Xinming Zhang Shaoqing Ren Jian Sun VLM 355 18,661 0 06 Feb 2015