Corrigendum to “universal Approximation Power of Deep Residual Neural Networks Through the Lens of Control”
IEEE Transactions on Automatic Control(2024)
摘要
This brief note corrects the statements of Theorem 5.1, and Corollary 5.2, of [3]. The main consequence of these corrections is that the width of residual neural networks that suffices for universal approximation changes from
$ n+1$
to
$2n+1$
. This is consistent with recent observations made in [1] regarding the use of neural networks to approximate functions by diffeomorphisms.
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关键词
Neural networks,nonlinear controllability,residual networks,universal approximation
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