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Analysis of the backpropagation algorithm using linear algebra

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1 Author(s)
Rodrigues de Sousa, C.A. ; Inst. of Math. & Comput. Sci. (ICMC), Univ. of Sao Paulo (USP), Sao Carlos, Brazil

Multilayer perceptrons (MLPs) are feed-forward artificial neural networks with high theoretical basis. The most popular algorithm to train MLPs is the backpropagation algorithm, which can be seen as a consistent nonparametric least squares regression estimator. This algorithm is reformulated in this paper using linear algebra, providing theoretical basis for further studies.

Published in:

Neural Networks (IJCNN), The 2012 International Joint Conference on

Date of Conference:

10-15 June 2012