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Principal curves revisited

Statistics and ComputingPublished 1 December 1992
Robert Tibshirani
Citations223
SJR quartileQ1
SJR score0.81
SNIP1.26

TL;DR

An alternative definition of a principal curve is given, based on a mixture model, that is a generalization of linear principal components and carried out through an EM algorithm.

Abstract

A principal curve (Hastie and Stuetzle, 1989) is a smooth curve passing through the 'middle' of a distribution or data cloud, and is a generalization of linear principal components. We give an alternative definition of a principal curve, based on a mixture model. Estimation is carried out through an EM algorithm. Some comparisons are made to the Hastie-Stuetzle definition.

Keywords

Computer ScienceMathematics