Ho, Charlotte Yuk-Fan, 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
Full content URL: http://dx.doi.org/10.1109/TSMCB.2010.2042444
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| Item Type: | Article |
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| Item Status: | Live Archive |
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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.
| Additional Information: | (c)2003 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other users |
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| Keywords: | Perceptron training algorithm, neurodynamics, symbolic dynamics, chaos, invariant set |
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| Subjects: | H Engineering > H310 Dynamics |
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| Divisions: | College of Science > School of Engineering |
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| ID Code: | 2684 |
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| Deposited On: | 11 Jun 2010 19:55 |
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