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Stability analysis of an unsupervised competitive neural network

Meyer-Bäse, A. ; Thümmler, V. ; Theis, Fabian J.


Abstract

Unsupervised competitive neural networks (UCNN) are an established technique in pattern recognition for feature extraction and cluster analysis. A novel model of an unsupervised competitive neural network implementing a multi-time scale dynamics is proposed in this paper. The global asymptotic stability of the equilibrium points of this continuous-time recurrent system whose weights are adapted ...

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