Reciprocal curves

John E. Hinkle, William S. Rayens

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


Partial least squares (PLS) is a modeling technique that has met with considerable success, particularly in the fields of chemometrics and psychometrics. In this paper, we extend linear PLS to a nonlinear version called "reciprocal curves." Reciprocal curves are smooth one-dimensional curves that pass through the center of the data, are co-consistent and share several optimality properties originally identified with PLS.

Original languageEnglish
Pages (from-to)836-858
Number of pages23
JournalComputational Statistics and Data Analysis
Issue number2
StatePublished - Nov 15 2006


  • Nonlinear models
  • Partial least squares
  • Principal curves

ASJC Scopus subject areas

  • Statistics and Probability
  • Computational Mathematics
  • Computational Theory and Mathematics
  • Applied Mathematics


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