Uniform approximation by a non-convex cone of continuous functions (Q1183170)
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scientific article; zbMATH DE number 32848
| Language | Label | Description | Also known as |
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| English | Uniform approximation by a non-convex cone of continuous functions |
scientific article; zbMATH DE number 32848 |
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Uniform approximation by a non-convex cone of continuous functions (English)
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28 June 1992
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The author presents a constructive proof of the result that the set of linear combinations of a bounded sigmoidal function is dense in the space of all continuous functions on the hypercube \(I^ n\). This result has several interesting implications especially in the realizability of a continuous function by a single hidden layer feed forward artificial neural network. Several extensions of their result are also given in this paper.
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bounded sigmoidal function
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