Sorting with a neural net

P.J. Zwietering; E.H.L. Aarts; J. Wessels

Sorting with a neural net

P.J. Zwietering
, E.H.L. Aarts
, J. Wessels

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Abstract

In this paper a three-layered perceptron is derived that exactly solves the problem of sorting n numbers. The perceptron configuration has O(n^2) nodes and can be viewed as a "neural" implementation of the parallel enumerative sorting algorithm developed by Preparata. Furthermore, it is shown that the problem of sorting n numbers cannot be solved exactly by a two-layered perceptron. Keywords: Sorting, Combinatorial Optimization, Neural Network, Multi-Layered Perceptron, Classification.

Original language	English
Place of Publication	Eindhoven
Publisher	Technische Universiteit Eindhoven
Number of pages	17
Publication status	Published - 1991

Publication series

Name	Memorandum COSOR
Volume	9110
ISSN (Print)	0926-4493

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title = "Sorting with a neural net",

abstract = "In this paper a three-layered perceptron is derived that exactly solves the problem of sorting n numbers. The perceptron configuration has O(n\textasciicircum{}2) nodes and can be viewed as a {"}neural{"} implementation of the parallel enumerative sorting algorithm developed by Preparata. Furthermore, it is shown that the problem of sorting n numbers cannot be solved exactly by a two-layered perceptron. Keywords: Sorting, Combinatorial Optimization, Neural Network, Multi-Layered Perceptron, Classification.",

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AU - Aarts, E.H.L.

AU - Wessels, J.

PY - 1991

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N2 - In this paper a three-layered perceptron is derived that exactly solves the problem of sorting n numbers. The perceptron configuration has O(n^2) nodes and can be viewed as a "neural" implementation of the parallel enumerative sorting algorithm developed by Preparata. Furthermore, it is shown that the problem of sorting n numbers cannot be solved exactly by a two-layered perceptron. Keywords: Sorting, Combinatorial Optimization, Neural Network, Multi-Layered Perceptron, Classification.

AB - In this paper a three-layered perceptron is derived that exactly solves the problem of sorting n numbers. The perceptron configuration has O(n^2) nodes and can be viewed as a "neural" implementation of the parallel enumerative sorting algorithm developed by Preparata. Furthermore, it is shown that the problem of sorting n numbers cannot be solved exactly by a two-layered perceptron. Keywords: Sorting, Combinatorial Optimization, Neural Network, Multi-Layered Perceptron, Classification.

M3 - Report

T3 - Memorandum COSOR

BT - Sorting with a neural net

PB - Technische Universiteit Eindhoven

CY - Eindhoven

ER -

Sorting with a neural net

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