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Neural Computation

September 1995, Vol. 7, No. 5, Pages 915-922
(doi: 10.1162/neco.1995.7.5.915)
© 1995 Massachusetts Institute of Technology
Time-Domain Solutions of Oja's Equations
Article PDF (289.23 KB)
Abstract

Oja's equations describe a well-studied system for unsupervised Hebbian learning of principal components. This paper derives the explicit time-domain solution of Oja's equations for the single-neuron case. It also shows that, under a linear change of coordinates, these equations are a gradient system in the general multi-neuron case. This latter result leads to a new Lyapunov-like function for Oja's equations.