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A Generalized View on Continuum Regression
Authors:Anders Bjö  rkströ  m,&   Rolf Sundberg
Affiliation:Stockholm University, Sweden
Abstract:ABSTRACT. We generalize the relationship between continuum regression (Stone & Brooks, 1990) and ridge regression, by showing that any optimization principle will yield a regressor proportional to a ridge regressor, provided only that the principle implies maximizing a function of the regressor's sample correlation coefficient and its sample variance. This relationship shows that continuum regression as defined via ridge regression (least squares ridge regression) is a more generally valid methodology than previously realized, and also opens up for alternative choices of its second and subsequent factors.
Keywords:cross-validation    linear prediction    near collinearity    partial least squares regression (PLS)    principal component regression (PCR)    ridge regression    shrinkage
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