基于等价性检验和特征聚类的《红楼梦》作者分析  

An Analysis of the Authors of A Dream of Red Mansions Based on Equivalence Checking and Feature Clustering

作　　者：程东波 柯小玲[1] 林施鑫 

机构地区：[1]闽江学院数学与数据科学学院,福建 福州

出　　处：《理论数学》2020年第5期549-555,共7页Pure Mathematics

基　　金：闽江学院校长基金(103952018230)。

摘　　要：引入等价性检验模型,选取“红”、“玉”二字统计频数,计算检验统计量U与p值。根据U检验值与概率对照表,初步得出前80章与后40章存在差异,并非一人所著。同时选取K均值聚类与凝聚聚类,根据词频聚类出多种情况。结果表明,《红楼梦》全书使用词频均存在着差异,其作者不止一人。The equivalence checking model is introduced to calculate the test statistics U and p values by se-lecting the statistical frequency of “red” and “jade”. According to U-tests and probability compara-tive table, differences between the first 80 chapters and the last 40 chapters are preliminarily concluded. Many cases are clustered by word frequency with K-means clustering and agglomerative clustering. The results show that there are differences in word frequency used in A Dream of Red Mansions, and there is more than one author.

关 键 词：等价性检验 特征聚类 K-均值聚类 凝聚聚类 

分 类 号：I20[文学—中国文学]