Approximation spaces of deep neural networks

3 May 2019

Rémi Gribonval

Papers citing "Approximation spaces of deep neural networks"

23 / 23 papers shown

Title
Theoretical Insights into CycleGAN: Analyzing Approximation and Estimation Errors in Unpaired Data Generation Luwei Sun Dongrui Shen Han Feng 79 2 0 16 Jul 2024
Early Directional Convergence in Deep Homogeneous Neural Networks for Small Initializations Akshay Kumar Jarvis Haupt ODL 63 4 0 12 Mar 2024
Learning The Invisible: A Hybrid Deep Learning-Shearlet Framework for Limited Angle Computed Tomography T. Bubba Gitta Kutyniok Matti Lassas M. März Wojciech Samek S. Siltanen Vignesh Srinivasan 126 136 0 12 Nov 2018
Optimal approximation of continuous functions by very deep ReLU networks Dmitry Yarotsky 158 293 0 10 Feb 2018
VAMPnets: Deep learning of molecular kinetics Andreas Mardt Luca Pasquali Hao Wu Frank Noé 60 544 0 16 Oct 2017
Optimal approximation of piecewise smooth functions using deep ReLU neural networks P. Petersen Felix Voigtländer 195 475 0 15 Sep 2017
Nonparametric regression using deep neural networks with ReLU activation function Johannes Schmidt-Hieber 200 810 0 22 Aug 2017
Optimal Approximation with Sparsely Connected Deep Neural Networks Helmut Bölcskei Philipp Grohs Gitta Kutyniok P. Petersen 166 256 0 04 May 2017
Solving ill-posed inverse problems using iterative deep neural networks J. Adler Ozan Oktem 72 617 0 13 Apr 2017
Nearly-tight VC-dimension and pseudodimension bounds for piecewise linear neural networks Peter L. Bartlett Nick Harvey Christopher Liaw Abbas Mehrabian 181 431 0 08 Mar 2017
Wider or Deeper: Revisiting the ResNet Model for Visual Recognition Zifeng Wu Chunhua Shen Anton Van Den Hengel SSeg 544 1,511 0 30 Nov 2016
Error bounds for approximations with deep ReLU networks Dmitry Yarotsky 173 1,226 0 03 Oct 2016
Deep vs. shallow networks : An approximation theory perspective H. Mhaskar T. Poggio 139 342 0 10 Aug 2016
Convolutional Rectifier Networks as Generalized Tensor Decompositions Nadav Cohen Amnon Shashua 60 153 0 01 Mar 2016
Benefits of depth in neural networks Matus Telgarsky 328 608 0 14 Feb 2016
Understanding Deep Convolutional Networks S. Mallat FAtt AI4CE 144 639 0 19 Jan 2016
The Power of Depth for Feedforward Neural Networks Ronen Eldan Ohad Shamir 193 732 0 12 Dec 2015
Deep Residual Learning for Image Recognition Kaiming He Xinming Zhang Shaoqing Ren Jian Sun MedIm 1.9K 193,426 0 10 Dec 2015
Provable approximation properties for deep neural networks Uri Shaham A. Cloninger Ronald R. Coifman 127 230 0 24 Sep 2015
On the Expressive Power of Deep Learning: A Tensor Analysis Nadav Cohen Or Sharir Amnon Shashua 79 470 0 16 Sep 2015
Flexible Multi-layer Sparse Approximations of Matrices and Applications Luc Le Magoarou Rémi Gribonval 59 48 0 24 Jun 2015
U-Net: Convolutional Networks for Biomedical Image Segmentation Olaf Ronneberger Philipp Fischer Thomas Brox SSeg 3DV 1.5K 76,917 0 18 May 2015
Delving Deep into Rectifiers: Surpassing Human-Level Performance on ImageNet Classification Kaiming He Xinming Zhang Shaoqing Ren Jian Sun VLM 278 18,587 0 06 Feb 2015