External Variables as Points in Smallest Space Analysis: a Theoretical, Mathematical and Computer-Based Contribution

Translated title of the contribution: External Variables as Points in Smallest Space Analysis: a Theoretical, Mathematical and Computer-Based Contribution

Erik H. Cohen, Reuven Amar

    Research output: Contribution to journalArticlepeer-review

    28 Scopus citations

    Abstract

    Given a configuration of n points in a Euclidean space and given a vector of similarity coefficients of an external object E with those n points, the problem is how to locate E among the n fixed points such that the higher the similarity of E with a point, the lower its distance from this point. Although this problem has been technically resolved by means of several types of procedures discussed below, it is nonetheless generally neglected. In the present article, we offer a theoretical and mathematical contribution to resolving this problem.

    Translated title of the contributionExternal Variables as Points in Smallest Space Analysis: a Theoretical, Mathematical and Computer-Based Contribution
    Original languageEnglish
    Pages (from-to)40-56
    Number of pages17
    JournalBMS Bulletin of Sociological Methodology/ Bulletin de Methodologie Sociologique
    Volume75
    Issue number1
    DOIs
    StatePublished - 1 Jul 2002

    Bibliographical note

    Publisher Copyright:
    © 2002, SAGE Publications Ltd. All rights reserved.

    Keywords

    • Analyse de similitudes
    • Distances
    • Similarité
    • Variables externes

    Fingerprint

    Dive into the research topics of 'External Variables as Points in Smallest Space Analysis: a Theoretical, Mathematical and Computer-Based Contribution'. Together they form a unique fingerprint.

    Cite this