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Principal Components and Principal Clusters

Journal of Information and Optimization Sciences, 1987
Abstract The use of principal components to reduce the number of dimensions so that graphieal representation of the data is possible has been developed. One. of the most important applications is the connexion with cluster analysis. It has not been defined the criteria by which to decide whether there is any justification for dividing a set of ...
Haruo Miyazaki, Youichi Seki
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Principal Components Analysis

2012
Principal components analysis (PCA) is a standard tool in multivariate data analysis to reduce the number of dimensions, while retaining as much as possible of the data's variation. Instead of investigating thousands of original variables, the first few components containing the majority of the data's variation are explored.
Detlef, Groth   +3 more
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PRINCIPAL COMPONENTS

1986
The theory and practice of principal components are considered both from the point of view of statistical theory and from that of descriptive statistics. Some well known applications are briefly discussed.
Kloek, T., Kloek, T.
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Which principal components to utilize for principal component regression

Journal of Chemometrics, 1992
AbstractPrincipal components (PCs) for principal component regression (PCR) have historically been selected from the top down for a reliable predictive model. That is, the PCs are arranged in a list starting with the most informative (PC associated with the largest singular value) and proceeding to the least informative (PC associated with the smallest
Jon M. Sutter   +2 more
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Segmented principal component transform–principal component analysis

Chemometrics and Intelligent Laboratory Systems, 2005
Abstract A new approach to perform Principal Component Analysis (PCA) on very wide matrices is proposed in this work. The procedure is based on an extension of the Principal Component Transform (PCT) concept—the PCT being applied to non-superimposed segments of the data matrix.
António S. Barros, Douglas N. Rutledge
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The efficient cross-validation of principal components applied to principal component regression

Statistics and Computing, 1995
The cross-validation of principal components is a problem that occurs in many applications of statistics. The naive approach of omitting each observation in turn and repeating the principal component calculations is computationally costly. In this paper we present an efficient approach to leave-one-out cross-validation of principal components.
B. J. A. Mertens, T. Fearn, M. Thompson
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Principal components or principal axes

1999
The expression principal components first appeared in the writings of the American statistician Harold Hotelling in 1933, but the technique was known earlier as principal axes and goes back to Karl Pearson (1901). In principle, principal components are appropriate for the analysis of variation within a sample coming from a single statistical population
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The principal components of meaning, revisited

Psychonomic Bulletin & Review
Osgood, Suci, and Tannebaum were the first to attempt to identify the principal components of semantics using dimensional reduction of a high-dimensional model of semantics constructed from human judgments of word relatedness. Modern word-embedding models analyze patterns of words to construct higher dimensional models of semantics that can be ...
Chris, Westbury   +2 more
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Principal Components

Analytica Chimica Acta, 1995
Michael Falk   +2 more
  +4 more sources

Principal components

2012
Principal Components are probably the best known and most widely used of all multivariate analysis techniques. The essential idea consists in performing a linear transformation of the observed k-dimensional variables in such a way that the new variables are vectors of k mutually orthogonal (uncorrelated) components – the principal components – ranked ...
Hallin, Marc, Hörmann, Siegfried
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