Speculation on the generality of the backward stepwise view of PCA

Authors:
J S. Marron;Sungkyu Jung;Ian L. Dryden
Affiliations:
University of North Carolina, Chapel Hill, NC, USA;University of North Carolina, Chapel Hill, NC, USA;University of South Carolina, Columbia, SC, USA
Venue:
Proceedings of the international conference on Multimedia information retrieval
Year:
2010

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Abstract

A novel backwards viewpoint of Principal Component Analysis is proposed. In a wide variety of cases, that fall into the area of Object Oriented Data Analysis, this viewpoint is seen to provide much more natural and accessable analogs of PCA than the standard forward viewpoint. Examples considered here include principal curves, landmark based shape analysis, medial shape representation and trees as data.