The gap between theory and practice in function approximation with deep neural networks

16 January 2020

Papers citing "The gap between theory and practice in function approximation with deep neural networks"

13 / 13 papers shown

Title
Fundamental Limits of Deep Learning-Based Binary Classifiers Trained with Hinge Loss T. Getu Georges Kaddoum M. Bennis 49 1 0 13 Sep 2023
The mathematics of adversarial attacks in AI -- Why deep learning is unstable despite the existence of stable neural networks Alexander Bastounis A. Hansen Verner Vlacic AAML OOD 45 28 0 13 Sep 2021
Growing axons: greedy learning of neural networks with application to function approximation Daria Fokina Ivan Oseledets 31 18 0 28 Oct 2019
The Barron Space and the Flow-induced Function Spaces for Neural Network Models E. Weinan Chao Ma Lei Wu 47 110 0 18 Jun 2019
Greedy Shallow Networks: An Approach for Constructing and Training Neural Networks Anton Dereventsov Armenak Petrosyan Clayton Webster 27 9 0 24 May 2019
$Error bounds for approximations with deep ReLU neural networks in $W^{s,p}$ norms$ Error bounds for approximations with deep ReLU neural networks in $W^{s,p}$ norms Ingo Gühring Gitta Kutyniok P. Petersen 49 200 0 21 Feb 2019
On instabilities of deep learning in image reconstruction - Does AI come at a cost? Vegard Antun F. Renna C. Poon Ben Adcock A. Hansen 33 601 0 14 Feb 2019
Exponential Convergence of the Deep Neural Network Approximation for Analytic Functions Weinan E Qingcan Wang 21 102 0 01 Jul 2018
Optimal approximation of continuous functions by very deep ReLU networks Dmitry Yarotsky 55 293 0 10 Feb 2018
The Deep Ritz method: A deep learning-based numerical algorithm for solving variational problems E. Weinan Ting Yu 78 1,373 0 30 Sep 2017
Universal adversarial perturbations Seyed-Mohsen Moosavi-Dezfooli Alhussein Fawzi Omar Fawzi P. Frossard AAML 98 2,520 0 26 Oct 2016
Why Deep Neural Networks for Function Approximation? Shiyu Liang R. Srikant 50 383 0 13 Oct 2016
Intriguing properties of neural networks Christian Szegedy Wojciech Zaremba Ilya Sutskever Joan Bruna D. Erhan Ian Goodfellow Rob Fergus AAML 63 14,831 1 21 Dec 2013