Analysis of Hebbian Models with Lateral Weight Connections

  • Pedro J. Zufiria
  • J. Andrés Berzal
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4507)


In this paper, the behavior of some hebbian artificial neural networks with lateral weights is analyzed. Hebbian neural networks are employed in communications and signal processing applications for implementing on-line Principal Component Analysis (PCA). Different improvements over the original Oja model have been developed in the last two decades. Among them, models with lateral weights have been designed to directly provide the eigenvectors of the correlation matrix [1,5,6,9]. The behavior of hebbian models has been traditionally studied by resorting to an associated continuous-time formulation under some questionable assumptions which are not guaranteed in real implementations. In this paper we employ the alternative deterministic discrete-time (DDT) formulation that characterizes the average evolution of these nets and gathers the influence of the learning gains time evolution [12]. The dynamic behavior of some of these hebbian models is analytically characterized in this context and several simulations complement this comparative study.


Lateral Weight Direct Weight Good Convergence Performance Discrete Time Stochastic System Neural Network Learn Algorithm 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2007

Authors and Affiliations

  • Pedro J. Zufiria
    • 1
  • J. Andrés Berzal
    • 1
  1. 1.Departamento de Matemática Aplicada a las Tecnologías de la Información, ETSI Telecomunicación, Univ. Politécnica de Madrid 

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