Link between adaptive feed-forward layered networks and discriminant analysis

Hossam M. Osman; Moustafa M. Fahmy

doi:10.1117/12.152632

19 August 1993 Link between adaptive feed-forward layered networks and discriminant analysis

Hossam M. Osman, Moustafa M. Fahmy

Proceedings Volume 1966, Science of Artificial Neural Networks II; (1993) https://doi.org/10.1117/12.152632
Event: Optical Engineering and Photonics in Aerospace Sensing, 1993, Orlando, FL, United States

Abstract

The paper expands the available theoretical framework that establishes a link between an adaptive feedforward layered linear-output network used as a mean-square classifier and discriminant analysis. We prove that, under reasonable assumptions, minimizing the mean- square error at the network output is equivalent to minimizing the following: (1) the difference between the optimum value of a familiar discriminant criterion and the value of this criterion evaluated in the space spanned by the outputs of the final hidden layer, and (2) the difference between the values of the same discriminant criterion evaluated in desired-output and actual- output subspaces. We also illustrate, under specific constraints, how to solve the following problem: given a feature extraction criterion, how the target coding scheme can be selected such that this criterion is maximized at the output of the network final hidden layer.

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Hossam M. Osman and Moustafa M. Fahmy "Link between adaptive feed-forward layered networks and discriminant analysis", Proc. SPIE 1966, Science of Artificial Neural Networks II, (19 August 1993); https://doi.org/10.1117/12.152632

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