Parametric sensitivity and scalability of k-winners-take-all networks with a single state variable and infinity-gain activation functions

  • Authors:
  • Jun Wang;Zhishan Guo

  • Affiliations:
  • Department of Mechanical and Automation Engineering, The Chinese University of Hong Kong, Hong Kong;Department of Mechanical and Automation Engineering, The Chinese University of Hong Kong, Hong Kong

  • Venue:
  • ISNN'10 Proceedings of the 7th international conference on Advances in Neural Networks - Volume Part I
  • Year:
  • 2010

Quantified Score

Hi-index 0.00

Visualization

Abstract

In recent years, several k-winners-take-all (kWTA) neural networks were developed based on a quadratic programming formulation In particular, a continuous-time kWTA network with a single state variable and its discrete-time counterpart were developed recently These kWTA networks have proven properties of global convergence and simple architectures Starting with problem formulations, this paper reviews related existing kWTA networks and extends the existing kWTA networks with piecewise linear activation functions to the ones with high-gain activation functions The paper then presents experimental results of the continuous-time and discrete-time kWTA networks with infinity-gain activation functions The results show that the kWTA networks are parametrically robust and dimensionally scalable in terms of problem size and convergence rate.