Disaggregative Clustering Using the Concept of Mutual Nearest Neighborhood

A nonparametric, hierarchical, disaggregative clustering algorithm is developed using a novel similarity measure, called the mutual neighborhood value (MNV), which takes into account the conventional nearest neighbor ranks of two samples with respect to each other. The algorithm is simple, noniterative, requires low storage, and needs no specification of the expected number of clusters. The algorithm appears very versatile as it is capable of discerning spherical and nonspherical clusters, linearly nonseparable clusters, clusters with unequal populations, and clusters with lowdensity bridges. Changing of the neighborhood size enables discernment of strong or weak patterns.

[1]  Lawrence S. Mayer A METHOD OF CLUSTER ANALYSIS WHEN THERE EXIST MULTIPLE INDICATORS OF A THEORETIC CONCEPT , 1971 .

[2]  M. J. Rose,et al.  Classification of a set of elements , 1964, Comput. J..

[3]  G. N. Lance,et al.  Computer programs for monothetic classification ("Association analysis") , 1965, Comput. J..

[4]  J. T. Curtis,et al.  The Use of Distance Measures in Phytosociological Sampling , 1956 .

[5]  A. Scott,et al.  297. Note: On the Edwards and Cavalli-Sforza Method of Cluster Analysis , 1971 .

[6]  John F. O'Callaghan,et al.  An Alternative Definition for "Neighborhood of a Point" , 1975, IEEE Transactions on Computers.

[7]  R. Crawford,et al.  A Rapid Multivariate Method for the Detection and Classification of Groups of Ecologically Related Species , 1967 .

[8]  P. J. Clark,et al.  Distance to Nearest Neighbor as a Measure of Spatial Relationships in Populations , 1954 .

[9]  W. T. Williams,et al.  Multivariate Methods in Plant Ecology: I. Association-Analysis in Plant Communities , 1959 .

[10]  George Nagy,et al.  State of the art in pattern recognition , 1968 .

[11]  J. T. Curtis,et al.  SOME SAMPLING CHARACTERISTICS OF A POPULATION OF RANDOMLY DISPERSED INDIVIDUALS , 1953 .

[12]  A W EDWARDS,et al.  A METHOD FOR CLUSTER ANALYSIS. , 1965, Biometrics.

[13]  Charles T. Zahn,et al.  Graph-Theoretical Methods for Detecting and Describing Gestalt Clusters , 1971, IEEE Transactions on Computers.

[14]  W. T. Williams,et al.  Dissimilarity Analysis: a new Technique of Hierarchical Sub-division , 1964, Nature.

[15]  R. Crawford,et al.  A Rapid Classification and Ordination Method and Its Application to Vegetation Mapping , 1968 .