An Efficient Query Learning Algorithm for Zero-Suppressed Binary Decision Diagrams

Abstract

A ZDD is a directed acyclic graph that represents a family of sets over a fixed universe set. In this paper, we propose an algorithm that learns zero-suppressed binary decision diagrams (ZDDs) using membership and equivalence queries. If the target ZDD has $n$ nodes and the cardinality of the universe is $m$, our algorithm uses $n$ equivalence queries and at most $n(\lfloor \log m \rfloor + 4n)$ membership queries to learn the target ZDD.

Cite

Text

Mizumoto et al. "An Efficient Query Learning Algorithm for Zero-Suppressed Binary Decision Diagrams." Proceedings of the 28th International Conference on Algorithmic Learning Theory, 2017.

Markdown

[Mizumoto et al. "An Efficient Query Learning Algorithm for Zero-Suppressed Binary Decision Diagrams." Proceedings of the 28th International Conference on Algorithmic Learning Theory, 2017.](https://mlanthology.org/alt/2017/mizumoto2017alt-efficient/)

BibTeX

@inproceedings{mizumoto2017alt-efficient,
  title     = {{An Efficient Query Learning Algorithm for Zero-Suppressed Binary Decision Diagrams}},
  author    = {Mizumoto, Hayato and Todoroki, Shota and Diptarama,  and Yoshinaka, Ryo and Shinohara, Ayumi},
  booktitle = {Proceedings of the 28th International Conference on Algorithmic Learning Theory},
  year      = {2017},
  pages     = {360-371},
  volume    = {76},
  url       = {https://mlanthology.org/alt/2017/mizumoto2017alt-efficient/}
}