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Subset selection in dimension reduction methods

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  • Luca Scrucca
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    Abstract

    Dimension reduction methods play an important role in multivariate statistical analysis, in particular with high-dimensional data. Linear methods can be seen as a linear mapping from the original feature space to a dimension reduction subspace. The aim is to transform the data so that the essential structure is more easily understood. However, highly correlated variables provide redundant information, whereas some other feature may be irrelevant, and we would like to identify and then discard both of them while pursuing dimension reduction. Here we propose a greedy search algorithm, which avoids the search over all possible subsets, for ranking subsets of variables based on their ability to explain variation in the dimension reduction variates.

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    Bibliographic Info

    Paper provided by Università di Perugia, Dipartimento Economia, Finanza e Statistica in its series Quaderni del Dipartimento di Economia, Finanza e Statistica with number 23/2006.

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    Length: 31 pages
    Date of creation: 15 Sep 2006
    Date of revision:
    Handle: RePEc:pia:wpaper:23/2006

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    Related research

    Keywords: Dimension reduction methods; Linear mapping; Subset selection; Greedy search;

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    1. S. K. Vines, 2000. "Simple principal components," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 49(4), pages 441-451.
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