Query Learning Algorithm for Ordered Multi-Terminal Binary Decision Diagrams

Atsuyoshi Nakamura

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arXiv · 2303.03195

Query Learning Algorithm for Ordered Multi-Terminal Binary Decision Diagrams

Atsuyoshi Nakamura

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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.

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Atsuyoshi Nakamura. 2023-03-03. Query Learning Algorithm for Ordered Multi-Terminal Binary Decision Diagrams. https://arxiv.org/abs/2303.03195

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