Minimization of Quadratic Binary Functional with Additive Connection Matrix

  • Authors:
  • Leonid Litinskii

  • Affiliations:
  • Center of Optical Neural Technologies Scientific Research Institute for System Analysis, Russian Academy of Sciences, Moscow, Russia 119333

  • Venue:
  • ICANN '09 Proceedings of the 19th International Conference on Artificial Neural Networks: Part I
  • Year:
  • 2009

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Abstract

(N ×N )-matrix is called additive when its elements are pair-wise sums of N real numbers a i . For a quadratic binary functional with an additive connection matrix we succeeded in finding the global minimum expressing it through external parameters of the problem. Computer simulations show that energy surface of a quadratic binary functional with an additive matrix is complicate enough.