Minimization of decision trees is hard to approximate

  • Authors:
  • Detlef Sieling

  • Affiliations:
  • Universität Dortmund, Fachbereich Informatik, LS 2, 44221 Dortmund, Federal Republic of Germany

  • Venue:
  • Journal of Computer and System Sciences
  • Year:
  • 2008

Quantified Score

Hi-index 0.00

Visualization

Abstract

Decision trees are representations of discrete functions with widespread applications in, e.g., complexity theory and data mining and exploration. In these areas it is important to obtain decision trees of small size. The minimization problem for decision trees is known to be NP-hard. In this paper the problem is shown to be even hard to approximate up to any constant factor under the assumption PNP.