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Clustering in N dimensions by use of a system of forces

Datos Bibliográficos

ID10142589
AutoresJames S Coleman (Johns Hopkins University, autor de correspondencia)
Año1971
Volumen1
Número1
Páginas1-47
Fecha de publicación1971-01-01
Peer ReviewedSí
Open AccessNo
TipoARTICLE
RevistaJournal of Mathematical Sociology (JOURNAL)
Identificadores de la revistaISSN: 0022-250X • E-ISSN: 1545-5874
EditorialTaylor & Francis (PUBLISHER • GB)
DOI10.1080/0022250x.1971.9989787
OpenAlexW1980270402
IdiomaEN
Citas recibidas5
Referencias citadas6

This paper describes a model and associated computer program for carrying out clustering of elements in a space of a predetermined number of dimensions. In addition to clustering of elements, the model may be used for multi‐dimensional scale analysis and for construction of sociograms. The model takes as input data a set of ‘affinities’ between elements, the inverse of which may be considered as psychological or sociological distances. It then moves elements in a Euclidean n‐space toward the point at which the geometric distance is equal to the given psychological or social ‘distance,’ as if a set of attractive and repulsive forces was acting upon each element from other elements. The second major portion of the paper consists of ten examples, which are analyzed by means of the accompanying computer program

Cluster analysis · Combinatorics · Element (criminal law · Euclidean distance · Euclidean space · Geometry · Point (geometry · Set (abstract data type · Space (punctuation) · Artificial Intelligence · Career Development and Diversity · Computer Science · Design Education and Practice · Mathematics

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Obras citantes distintas5
Citas por año0,09
Intervalo de citas1973 - 2006 (34)
Velocidad de citaciónhistorical
Altamente citadoNo
Tipos de citaNeutras: 3
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