Invariant set of weight of perceptron trained by perceptron training algorithm

Ho, Charlotte Yuk-Fan and Ling, Bingo Wing-Kuen and IU, Herbert Ho-Ching (2010) Invariant set of weight of perceptron trained by perceptron training algorithm. IEEE Transaction on Systems, Man, and Cybernetics, 40 (6). pp. 1521-1530. ISSN 0018-9472

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Official URL: http://dx.doi.org/10.1109/TSMCB.2010.2042444

Abstract

In this paper, an invariant set of the weight of the perceptron trained by the perceptron training algorithm is defined and characterized. The dynamic range of the steady state values of the weight of the perceptron can be evaluated via finding the dynamic range of the weight of the perceptron inside the largest invariant set. Also, the necessary and sufficient condition for the forward dynamics of the weight of the perceptron to be injective as well as the condition for the invariant set of the weight of the perceptron to be attractive is derived.

Item Type:Article
Additional Information:(c)2003 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other users
Keywords:Perceptron training algorithm, neurodynamics, symbolic dynamics, chaos, invariant set
Subjects:H Engineering > H310 Dynamics
Divisions:College of Science > School of Engineering
ID Code:2684
Deposited By: Rosaline Smith
Deposited On:11 Jun 2010 19:55
Last Modified:05 Jun 2013 15:19

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