Abstract:
:Complexity of one-hidden-layer networks is studied using tools from nonlinear approximation and integration theory. For functions with suitable integral representations in the form of networks with infinitely many hidden units, upper bounds are derived on the speed of decrease of approximation error as the number of network units increases. These bounds are obtained for various norms using the framework of Bochner integration. Results are applied to perceptron networks.
journal_name
Neural Computjournal_title
Neural computationauthors
Kainen PC,Kůrková Vdoi
10.1162/neco.2009.04-08-745subject
Has Abstractpub_date
2009-10-01 00:00:00pages
2970-89issue
10eissn
0899-7667issn
1530-888Xjournal_volume
21pub_type
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journal_title:Neural computation
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