Dynamic analysis of a general class of winner-take-all competitive neural networks

Yuguang Fang, Michael A. Cohen, Thomas G. Kincaid

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

23 Citations (Scopus)

Abstract

This paper studies a general class of dynamical neural networks with lateral inhibition, exhibiting winner-take-all (WTA) behavior. These networks are motivated by a metaloxidesemiconductor field effect transistor (MOSFET) implementation of neural networks, in which mutual competition plays a very important role. We show that for a fairly general class of competitive neural networks, WTA behavior exists. Sufficient conditions for the network to have a WTA equilibrium are obtained, and rigorous convergence analysis is carried out. The conditions for the network to have the WTA behavior obtained in this paper provide design guidelines for the network implementation and fabrication. We also demonstrate that whenever the network gets into the WTA region, it will stay in that region and settle down exponentially fast to the WTA point. This provides a speeding procedure for the decision making: as soon as it gets into the region, the winner can be declared. Finally, we show that this WTA neural network has a self-resetting property, and a resetting principle is proposed. © 2010 IEEE.
Original languageEnglish
Article number5427042
Pages (from-to)771-783
JournalIEEE Transactions on Neural Networks
Volume21
Issue number5
DOIs
Publication statusPublished - May 2010
Externally publishedYes

Bibliographical note

Publication details (e.g. title, author(s), publication statuses and dates) are captured on an “AS IS” and “AS AVAILABLE” basis at the time of record harvesting from the data source. Suggestions for further amendments or supplementary information can be sent to [email protected].

Research Keywords

  • Competition
  • Convergence analysis
  • Lateral inhibition
  • Neural networks
  • Neurodynamics
  • Shunting and additive
  • Very large scale integration (VLSI) neural networks
  • Winner-take-all (WTA)

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