Connectivity of the mutual k-nearest-neighbor graph in clustering and outlier detection

被引:152
作者
Brito, MR
Chavez, EL
Quiroz, AJ
Yukich, JE
机构
[1] UNIV SIMON BOLIVAR,DEPT MATH,CARACAS,VENEZUELA
[2] UNIV MICHOACANA,MORELIA,MICHOACAN,MEXICO
[3] UNIV SIMON BOLIVAR,CARACAS 1080,VENEZUELA
[4] LEHIGH UNIV,BETHLEHEM,PA
关键词
mutual nearest neighbors; clustering; outlier detection;
D O I
10.1016/S0167-7152(96)00213-1
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
For multivariate data sets, we study the relationship between the connectivity of a mutual k-nearest-neighbor graph, and the presence of clustering structure and outliers in the data. A test for detection of clustering structure and outliers is proposed and its performance is evaluated in simulated data. (C) 1997 Elsevier Science B.V.
引用
收藏
页码:33 / 42
页数:10
相关论文
共 13 条
[1]  
Dudley R.M., 1984, Ecole d'ete de Probabilites de Saint-Flour XII-1982, V1097, P1, DOI DOI 10.1007/BFB0099432
[2]  
Everitt B, 1974, CLUSTER ANAL
[3]  
GONZALESBARRIOS JM, 1995, 19506 CIMAT
[4]  
GOWDA KC, 1978, PATTERN RECOGN, V10, P105
[5]  
Harary F., 1969, GRAPH THEORY
[6]  
Hartigan J. A., 1975, CLUSTERING ALGORITHM
[7]  
Jain K, 1988, Algorithms for clustering data
[8]   CLUSTERING USING A SIMILARITY MEASURE BASED ON SHARED NEAR NEIGHBORS [J].
JARVIS, RA ;
PATRICK, EA .
IEEE TRANSACTIONS ON COMPUTERS, 1973, C-22 (11) :1025-1034
[9]  
Knuth D., 1981, ART COMPUTER PROGRAM
[10]   AN EXAMINATION OF PROCEDURES FOR DETERMINING THE NUMBER OF CLUSTERS IN A DATA SET [J].
MILLIGAN, GW ;
COOPER, MC .
PSYCHOMETRIKA, 1985, 50 (02) :159-179