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On some relationships between hierarchies of quasiarithmetic means and neural networks

✍ Scribed by Vicenç Torra

Publisher
John Wiley and Sons
Year
1999
Tongue
English
Weight
125 KB
Volume
14
Category
Article
ISSN
0884-8173

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✦ Synopsis

In this work, we establish the relations between neural networks and hierarchies of quasiarithmetic means. We show that a neural network with the same activation function in all the neurons gives an output that is isomorphic to the result that can be obtained with a hierarchy of quasiarithmetic means. From this result, we show that hierarchies of quasiarithmetic means are universal approximations.

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