Piecewise-Polynomial Regression Trees ∗

  title={Piecewise-Polynomial Regression Trees ∗},
  author={Probal Chaudhuri and M B Huang and Wei-Yin Loh and Ruji Yao},
A nonparametric function estimation method called SUPPORT (“Smoothed and Unsmoothed Piecewise-Polynomial Regression Trees”) is described. The estimate is typically made up of several pieces, each piece being obtained by fitting a polynomial regression to the observations in a subregion of the data space. Partitioning is carried out recursively as in a tree-structured method. If the estimate is required to be smooth, the polynomial pieces may be glued together by means of weighted averaging. The… CONTINUE READING
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