English

Query Learning Algorithm for Ordered Multi-Terminal Binary Decision Diagrams

Machine Learning 2023-03-07 v1 Discrete Mathematics

Abstract

We propose a query learning algorithm for ordered multi-terminal binary decision diagrams (OMTBDDs) using at most n equivalence and 2n(l\lcei\log_2 m\rceil+ 3n) membership queries by extending the algorithm for ordered binary decision diagrams (OBDDs). Tightness of our upper bounds is checked in our experiments using synthetically generated target OMTBDDs. Possibility of applying our algorithm to classification problems is also indicated in our other experiments using datasets of UCI Machine Learning Repository.

Keywords

Cite

@article{arxiv.2303.03195,
  title  = {Query Learning Algorithm for Ordered Multi-Terminal Binary Decision Diagrams},
  author = {Atsuyoshi Nakamura},
  journal= {arXiv preprint arXiv:2303.03195},
  year   = {2023}
}