Learning Random Monotone DNF Under the Uniform Distribution

Abstract

We show that randomly generated monotone c log(n)-DNF formula can be learned exactly in probabilistic polynomial time. Our notion of randomly generated is with respect to a uniform distribution. To prove this we identify the class of well behaved monotone c log(n)-DNF formulae, and show that almost every monotone DNF formula is well-behaved, and that there exists a probabilistic Turing machine that exactly learns all well behaved monotone c log(n)-DNF formula.

Cite

Text

Sellie. "Learning Random Monotone DNF Under the Uniform Distribution." Annual Conference on Computational Learning Theory, 2008.

Markdown

[Sellie. "Learning Random Monotone DNF Under the Uniform Distribution." Annual Conference on Computational Learning Theory, 2008.](https://mlanthology.org/colt/2008/sellie2008colt-learning/)

BibTeX

@inproceedings{sellie2008colt-learning,
  title     = {{Learning Random Monotone DNF Under the Uniform Distribution}},
  author    = {Sellie, Linda},
  booktitle = {Annual Conference on Computational Learning Theory},
  year      = {2008},
  pages     = {181-192},
  url       = {https://mlanthology.org/colt/2008/sellie2008colt-learning/}
}