Abstract
In this paper we investigate how stability properties of a continuous recursive neural network within neighbourhoods of certain equilibrium points can be changed whilst keeping the equilibrium points fixed. This can be achieved, under certain conditions, by the use of Lie group transformations operating on the synaptic weight matrix.
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References
Brockett, R.W.: SIAM J. Control, Vol. 10. No. 2, 265, (1972).
Golub, G.H. and Van Loan, C.F.: Matrix Computatons, London, North Oxford Academic, 1986.
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© 1995 Springer-Verlag/Wien
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Pearson, D.W. (1995). Changing Network Weights by Lie Groups. In: Artificial Neural Nets and Genetic Algorithms. Springer, Vienna. https://doi.org/10.1007/978-3-7091-7535-4_66
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DOI: https://doi.org/10.1007/978-3-7091-7535-4_66
Publisher Name: Springer, Vienna
Print ISBN: 978-3-211-82692-8
Online ISBN: 978-3-7091-7535-4
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