Set Partition of Real Numbers by Hopfield Neural Networks.

Autor: Hisanaga, Yutaka, Yamashita, Masafumi, Ae, Tadashi
Předmět:
Zdroj: Systems & Computers in Japan; 6/1/91, Vol. 22 Issue 10, p88-95, 8p
Abstrakt: The Hopfield neural network is attracting attention as a high-speed solver for optimization and other problems. However, it contains a problem in that the network may not arrive at the globally optimal solution but stops at a locally optimal solution unless the initial state is selected appropriately. In other words, the selection of the initial state is important in solving a problem using the Hopfield neural network. This paper considers the real number partition problem, the problem of finding the κ largest elements from a given set of real numbers, given integer κ. A network to solve this problem is constructed. It is shown that the network arrives at the globally optimal solution if the initial state satisfies a certain condition. Its basin also is examined. As an application example of the network, the sorting problem is considered. [ABSTRACT FROM AUTHOR]
Databáze: Supplemental Index