Basis-Function Trees as a Generalization of Local Variable Selection Methods for Function Approximation

Abstract

Local variable selection has proven to be a powerful technique for ap(cid:173) proximating functions in high-dimensional spaces. It is used in several statistical methods, including CART, ID3, C4, MARS, and others (see the bibliography for references to these algorithms). In this paper I present a tree-structured network which is a generalization of these techniques. The network provides a framework for understanding the behavior of such algorithms and for modifying them to suit particular applications.

Cite

Text

Sanger. "Basis-Function Trees as a Generalization of Local Variable Selection Methods for Function Approximation." Neural Information Processing Systems, 1990.

Markdown

[Sanger. "Basis-Function Trees as a Generalization of Local Variable Selection Methods for Function Approximation." Neural Information Processing Systems, 1990.](https://mlanthology.org/neurips/1990/sanger1990neurips-basisfunction/)

BibTeX

@inproceedings{sanger1990neurips-basisfunction,
  title     = {{Basis-Function Trees as a Generalization of Local Variable Selection Methods for Function Approximation}},
  author    = {Sanger, Terence D.},
  booktitle = {Neural Information Processing Systems},
  year      = {1990},
  pages     = {700-706},
  url       = {https://mlanthology.org/neurips/1990/sanger1990neurips-basisfunction/}
}