Fast Winner-Takes-All Networks for the Maximum Clique Problem

  • Authors:
  • Brijnesh J. Jain;Fritz Wysotzki

  • Affiliations:
  • -;-

  • Venue:
  • KI '02 Proceedings of the 25th Annual German Conference on AI: Advances in Artificial Intelligence
  • Year:
  • 2002

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Abstract

We present an in-depth mathematical analysis of a winner-takes-all Network tailoredto the maximum clique problem, a well-known intractable combinatorial optimization problem which has practical applications in several real world domains. The analysis yields tight bounds for the parameter settings to ensure energy descent to feasible solutions. To verify the theoretical results we employ a fast annealing schedule to the WTA algorithm and show the effectiveness of the proposed approach for large scaled problems in extensive computer simulations.