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来源类型Article
规范类型其他
DOI10.1006/jpdc.1994.1034
The minimal number of layers of a perceptron that sorts.
Zwietering PJ; Aarts EHL; Wessels J
发表日期1994
出处Journal of Parallel and Distributed Computing 20 (3): 380-387
出版年1994
语种英语
摘要In this paper we consider the problem of determining the minimal number of layers required by a multilayered perceptron for solving the problem of sorting a set of real-valued numbers. We discuss two formulations of the sorting problem; ABSSORT, which can be considered as the standard form of the sorting problem, and for which, given an array of numbers, a new array with the original numbers in ascending order is requested, and RELSORT, for which, given an array of numbers, one wants first to find the smallest number, and then for each number-except the largest-one wants to find the number that comes next in size. We show that, if one uses classical multilayered perceptrons with the hard-limiting response function, the minimal numbers of layers needed are 3 and 2 for solving ABSSORT and RELSORT, respectively.
主题Methodology of Decision Analysis (MDA)
URLhttp://pure.iiasa.ac.at/id/eprint/3869/
来源智库International Institute for Applied Systems Analysis (Austria)
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资源类型智库出版物
条目标识符http://119.78.100.153/handle/2XGU8XDN/127260
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GB/T 7714
Zwietering PJ,Aarts EHL,Wessels J. The minimal number of layers of a perceptron that sorts.. 1994.
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