The Parallel Degeneration of a System of Classification Hyperplanes
作者单位：Electronic Engineering Research InstituteXidian University
会议名称：《1998 Fourth International Conference Signal Processing》
会议日期：1998年
学科分类：12[管理学] 1201[管理学-管理科学与工程(可授管理学、工学学位)] 081104[工学-模式识别与智能系统] 08[工学] 0835[工学-软件工程] 0811[工学-控制科学与工程] 0812[工学-计算机科学与技术（可授工学、理学学位）]
基 金：Supported by the National Natural Science Fund the Electronic Science Research Institute Fund
关 键 词：Feedforward Neural Network Neuron Classification Hyperplane Parallel Degeneration Parallel Degeneration Condition
摘 要：正It is known that a neuron with hard limitation activation function functions as a classification hyperplane（CH）[2],and that a binary trainning samples can be used to train the network such that the classification hyperplanes of hidden neurons are in parallel pattern[4].This paper deals with a basic property of such a system of classification hyperplanes, with its parallel degeneration defined,and its parallel degeneration condition revealed out,being that if and only if there exists a subsystem of four adjacent classification hyperplanes not capable of parallel degeneration,the system of classification hyperplanes is not capable of parallel degeneration.