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A neural network algorithm for the no-three-in-line problem : NOTES
  • A neural network algorithm for the no-three-in-line problem
  • By Tsuchiya and Takefuji

Abstract

The no-three-in-line problem is one of unsolved problems in number theorem. The goal of the no-three-in-line problem is to locate 2N points on an N X N squares array where no three points are in line. The proposed algorithm uses N* hysteresis McCulloch-Pitts neurons as the processing elements for the N X N array problem. Our neural network algorithm has discovered several different solutions for up to N = 25.

ORG

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