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:10.1145/130385.130394Markdown
[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:10.1145/130385.130394BibTeX
@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/}
}