Modified Modulated Hebb-Oja learning rule: A method for biologically plausible principal component analysis

Abstract

This paper presents Modified Modulated Hebb-Oja (MHO) method that performs principal component analysis. Method is based on implementation of Time-Oriented Hierarchical Method applied on recently proposed principal subspace analysis rule called Modulated Hebb-Oja learning rule. Comparing to some other well-known methods for principal component analysis, the proposed method has one feature that could be seen as desirable from the biological point of view - synaptic efficacy learning rule does not need the explicit information about the value of the other efficacies to make individual efficacy modification. Simplicity of the "neural circuits" that perform global computations and a fact that their number does not depend on the number of input and output neurons, could be seen as good features of the proposed method. The number of necessary global calculation circuit is one. Some similarity to a part of the frog retinal circuit will be suggested, too. © 2008 Springer-Verlag Berlin Heidelberg.