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Extension of localised approximation by neural networks

Published online by Cambridge University Press:  17 April 2009

Nahmwoo Hahm  and
Bum Il Hong
Nahmwoo Hahm
Affiliation:
Institute of Natural Sciences, Kyung Hee University, Yongin, Kyunggi 449–701, Korea e-mail: [email protected]
Bum Il Hong
Affiliation:
Department of Mathematics, Kyung Hee Univeristy, Yongin, Kyunggi 449–701, Korea e-mail: [email protected]
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Abstract

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We prove generalised results for localised approximation by generalised translation networks. We also show the relationship between the minimum number of neurons in the generalised translation networks with one hidden layer and the desired accuracy where the target functions are in a subset V1, p ([−1, 1]s) of the Sobolev space W1, p([−1, 1]s).

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 59 , Issue 1 , February 1999 , pp. 121 - 131
Copyright
Copyright © Australian Mathematical Society 1999

References

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