Deep vs. shallow networks : An approximation theory perspective

10 August 2016

Papers citing "Deep vs. shallow networks : An approximation theory perspective"

13 / 63 papers shown

Title
A proof that deep artificial neural networks overcome the curse of dimensionality in the numerical approximation of Kolmogorov partial differential equations with constant diffusion and nonlinear drift coefficients Arnulf Jentzen Diyora Salimova Timo Welti AI4CE 29 116 0 19 Sep 2018
A proof that artificial neural networks overcome the curse of dimensionality in the numerical approximation of Black-Scholes partial differential equations Philipp Grohs F. Hornung Arnulf Jentzen Philippe von Wurstemberger 21 167 0 07 Sep 2018
Universal Approximation with Quadratic Deep Networks Fenglei Fan Jinjun Xiong Ge Wang PINN 36 78 0 31 Jul 2018
ResNet with one-neuron hidden layers is a Universal Approximator Hongzhou Lin Stefanie Jegelka 43 227 0 28 Jun 2018
Butterfly-Net: Optimal Function Representation Based on Convolutional Neural Networks Yingzhou Li Xiuyuan Cheng Jianfeng Lu 21 23 0 18 May 2018
The Role of Information Complexity and Randomization in Representation Learning Matías Vera Pablo Piantanida L. Rey Vega 45 14 0 14 Feb 2018
An efficient quantum algorithm for generative machine learning Xun Gao Zhengyu Zhang L. Duan 29 25 0 06 Nov 2017
Approximating Continuous Functions by ReLU Nets of Minimal Width Boris Hanin Mark Sellke 50 229 0 31 Oct 2017
Tensor Networks for Dimensionality Reduction and Large-Scale Optimizations. Part 2 Applications and Future Perspectives A. Cichocki Anh-Huy Phan Qibin Zhao Namgil Lee Ivan Oseledets Masashi Sugiyama Danilo P. Mandic 34 296 0 30 Aug 2017
On the approximation by single hidden layer feedforward neural networks with fixed weights Namig J. Guliyev V. Ismailov MLT 11 114 0 21 Aug 2017
Optimal Approximation with Sparsely Connected Deep Neural Networks Helmut Bölcskei Philipp Grohs Gitta Kutyniok P. Petersen 41 255 0 04 May 2017
Error bounds for approximations with deep ReLU networks Dmitry Yarotsky 42 1,223 0 03 Oct 2016
Why does deep and cheap learning work so well? Henry W. Lin Max Tegmark David Rolnick 40 603 0 29 Aug 2016