Paper
9 May 2006 Dynamical aspects of multi-time scale unsupervised neural networks
Anke Meyer-Bäse, Shantanu Joshi, Helge Ritter
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Abstract
Multi-time scale unsupervised neural networks (MTSUNN) represent an established technique in pattern recognition for feature extraction and cluster analysis. From the nonlinear systems analysis perspective, they implement a very complex coupled multi-mode dynamics. This paper gives a comprehensive overview of several neural architectures of a combined activity and weights dynamics. The global asymptotic and exponential stability of the equilibrium points of these continuous-time recurrent systems whose weights are adapted based on unsupervised learning laws are mathematically analyzed. The derived architectures can lead to hybrid implementations in VLSI techniques.
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Anke Meyer-Bäse, Shantanu Joshi, and Helge Ritter "Dynamical aspects of multi-time scale unsupervised neural networks", Proc. SPIE 6229, Intelligent Computing: Theory and Applications IV, 62290V (9 May 2006); https://doi.org/10.1117/12.668681
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KEYWORDS
Neural networks

Neurons

Scanning tunneling microscopy

Differential equations

Systems modeling

Machine learning

Very large scale integration

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