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Principal curves revisited

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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.

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  1. Department of Preventive Medicine and Biostatistics and Department of Statistics, McMurrich Building, University of Toronto, M5S 1A8, Toronto, Canada

    Robert Tibshirani

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  1. Robert Tibshirani
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Tibshirani, R. Principal curves revisited. Stat Comput 2, 183–190 (1992). https://doi.org/10.1007/BF01889678

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  • DOI: https://doi.org/10.1007/BF01889678

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