• DOI:10.1006/inco.1999.2788
Corpus ID: 32754021

Decision Trees: Old and New Results

@article{Fleischer1999DecisionTO,
  title={Decision Trees: Old and New Results},
  author={Rudolf Fleischer},
  journal={Inf. Comput.},
  year={1999},
  volume={152},
  pages={44-61}
}

Rudolf Fleischer

Published 1999

Computer Science, Mathematics

Inf. Comput.

Abstract In this paper, we prove two general lower bounds for algebraic decision trees which test membership in a set S ⊆ R n which is defined by linear inequalities. Let rank( S ) be the maximal dimension of a linear sub- space contained in the closure of S (in Euclidean topology). First we show that any decision tree for S which uses products of linear functions (we call such functions mlf- functions ) must have depth at least n −rank( S ). This solves an open question raised by A. C. Yao and… CONTINUE READING

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