Machine Learning Refined: Foundations, Algorithms, and Applications by Jeremy Watt & Reza Borhani & Aggelos Katsaggelos

Author:Jeremy Watt & Reza Borhani & Aggelos Katsaggelos [Watt, Jeremy]
Language: eng
Format: azw3, mobi, pdf
Publisher: Cambridge University Press
Published: 2016-09-07T16:00:00+00:00

(5.11)

for all . Note that with a two layer neural network basis, we have increased the number of internal parameters which are nonlinearly related layer by layer. Specifically, in addition to the first layer bias parameter and weight vector , we also have in the second layer bias parameters and weight vectors each of length N.

In Fig. 5.7 we show four instances for each of the two basis function types9 in Equations (5.10) and (5.11), where and . Note that the two layer basis functions in Fig. 5.7 are clearly more diverse in shape than the single layer basis functions shown in Fig. 5.5.

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