Approximation of Smoothness Classes by Deep Rectifier Networks
Author:
Funder
Airbus
Publisher
Society for Industrial & Applied Mathematics (SIAM)
Subject
Numerical Analysis,Applied Mathematics,Computational Mathematics
Link
https://epubs.siam.org/doi/pdf/10.1137/20M1360657
Reference15 articles.
1. Optimal Approximation with Sparsely Connected Deep Neural Networks
2. Biorthogonal bases of compactly supported wavelets
3. Nonlinear approximation
4. Optimal nonlinear approximation
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