Learning K-Term DNF Formulas with an Incomplete Membership Oracle

Abstract

We consider the problem of learning k-term DNF formulas using equivalence queries and incomplete membership queries as defined by Angluin and Slonim. We demonstrate that this model can be applied to non-monotone classes. Namely, we describe a polynomial-time algorithm that constructs a k-term DNF formula representationally equivalent to the target using incomplete membership queries and equivalence queries from the class of DNF formulas.

Cite

Text

Goldman and Mathias. "Learning K-Term DNF Formulas with an Incomplete Membership Oracle." Annual Conference on Computational Learning Theory, 1992. doi:10.1145/130385.130394

Markdown

[Goldman and Mathias. "Learning K-Term DNF Formulas with an Incomplete Membership Oracle." Annual Conference on Computational Learning Theory, 1992.](https://mlanthology.org/colt/1992/goldman1992colt-learning/) doi:10.1145/130385.130394

BibTeX

@inproceedings{goldman1992colt-learning,
  title     = {{Learning K-Term DNF Formulas with an Incomplete Membership Oracle}},
  author    = {Goldman, Sally A. and Mathias, H. David},
  booktitle = {Annual Conference on Computational Learning Theory},
  year      = {1992},
  pages     = {77-84},
  doi       = {10.1145/130385.130394},
  url       = {https://mlanthology.org/colt/1992/goldman1992colt-learning/}
}