On the Uesaka's Conjecture as to the Optimization by Means of Neural Networks for Combinatorial Problems (Special Section on Nonlinear Theory and Its Applications)
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概要
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This paper gives two kinds of functions for which Uesaka's Conjecture, stating that the globally optimum (not a local minimum) of a quadratic function F(x)=-1/2x^tAx in the n-dimensional hypercube may be obtained by solving a differential equation, holds true, where n denotes the dimension of the vector x. Uesaka stated in his paper that he proved the conjecture only for n=2. This corresponds to a very special case of this paper. The results of this paper suggest that the conjecture really holds for a wide class of quadratic functions and therefore support the conjecture partially.
- 社団法人電子情報通信学会の論文
- 1998-09-25
著者
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Nishi Tetsuo
Department Of Computer Science And Communication Engineering Kyushu Univ.
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Nishi Tetsuo
Department Of Computer Science And Communication Engineering Kyushu University
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