@Article{JCM-39-6,
author = {Montanelli, Hadrien and Yang, Haizhao and Qiang, Du},
title = {Deep ReLU Networks Overcome the Curse of Dimensionality for Generalized Bandlimited Functions},
journal = {Journal of Computational Mathematics},
year = {2021},
volume = {39},
number = {6},
pages = {801--815},
abstract = {<p style="text-align: justify;">We prove a theorem concerning the approximation of generalized bandlimited multivariate functions by deep ReLU networks for which the curse of the dimensionality is overcome. Our theorem is based on a result by Maurey and on the ability of deep ReLU networks to approximate Chebyshev polynomials and analytic functions efficiently.</p>},
issn = {1991-7139},
doi = {https://doi.org/10.4208/jcm.2007-m2019-0239},
url = {https://global-sci.com/article/84269/deep-relu-networks-overcome-the-curse-of-dimensionality-for-generalized-bandlimited-functions}
}