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Simultaneous approximation of a smooth function and its derivatives by deep neural networks with piecewise-polynomial activations

  • Published:2023-04 Issue: Volume:161 Page:242-253
  • ISSN:0893-6080
  • Container-title:Neural Networks
  • language:en
  • Short-container-title:Neural Networks

Author:

Belomestny DenisORCID,Naumov Alexey,Puchkin Nikita,Samsonov Sergey

Funder

Deutsche Forschungsgemeinschaft

National Research University Higher School of Economics

Analytical Center for the Government of the Russian Federation

Australian Cancer Research Foundation

Publisher

Elsevier BV

Subject

Artificial Intelligence,Cognitive Neuroscience

Reference41 articles.

1. Approximations with deep neural networks in Sobolev time-space;Abdeljawad;Analysis and Applications,2022

2. Approximation of smoothness classes by deep rectifier networks;Ali;SIAM Journal on Numerical Analysis,2021

3. Neural network control of a wheeled mobile robot based on optimal trajectories;Bozek;International Journal of Advanced Robotic Systems,2020

4. Fast computation of Fourier integral operators;Candès;SIAM Journal on Scientific Computing,2007

5. A fast butterfly algorithm for the computation of Fourier integral operators;Candès;Multiscale Modeling & Simulation. A SIAM Interdisciplinary Journal,2009

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