Back Propagation in a Cli
نویسنده
چکیده
Recent work has shown that in some cases the phase information of synaptic signal is important in the learning and representation capabilities of networks. Modelling such information with complex valued activation signals is possible, and indeed complex back-propagation algorithms have been derived 3]. Cliiord algebras give a way to generalise complex numbers to many dimensions. This paper presents a back propagation for feed-forward networks with Cliiord activation values. 1 Deenition of a Cliiord Algebra. Cliiord algebras have been rediscovered many times see 4] for examples and applications. Part of the success of Cliiord algebras is due to the geometric character of the deenition. In this paper the geometric content of the algebra will not be relevant. Although in individual applications a Cliiord net could be used to process geometric information. Let IR n denote the real n-dimensional vector space. We shall denote the Universal
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