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分类回归树中分裂法则的相合性质
引用本文:李勇,王建波.分类回归树中分裂法则的相合性质[J].北京师范大学学报(自然科学版),2002,38(1):15-22.
作者姓名:李勇  王建波
作者单位:北京师范大学数学系,北京,100875
基金项目:国家自然科学基金;40074013;
摘    要:讨论度量误差对分类树回归结果的影响,证明了对于某些常用的分裂法则来说,度量误差的存在会影响类边界估计的相合性.在一种简单情况下,提出了一个分裂法则,在该法则下,度量误差的存在不会影响类边界的相合性.

关 键 词:分类回归树  分裂法则  杂质函数  相合性  度量误差
修稿时间:2001年8月30日

THE CONSISTENCE OF SPLITING RULE IN CLASSIFICATION AND REGRESSION TREES
Li Yong,Wang Jianbo.THE CONSISTENCE OF SPLITING RULE IN CLASSIFICATION AND REGRESSION TREES[J].Journal of Beijing Normal University(Natural Science),2002,38(1):15-22.
Authors:Li Yong  Wang Jianbo
Abstract:Classification and regression trees is a kind of nonparametric statistic method based on iteration. This article discusses the influence of measure error on classification and regression tree's results, and shows that the measure error will affect the consistence of estimate of classification's border for some typical use. Under a simple case, we present a new splitting rule by which the measure error does not affect the consistence.
Keywords:classification and regression trees  spliting rule  impunity function  consistency  measure error
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