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Home / Proceedings / Proceedings of the AAAI Conference on Artificial Intelligence, 35 / No. 10: AAAI-21 Technical Tracks 10

Learning of Structurally Unambiguous Probabilistic Grammars

February 1, 2023

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Authors

Dolav Nitay

Ben Gurion University


Dana Fisman

Ben Gurion University


Michal Ziv-Ukelson

Ben Gurion University


DOI:

10.1609/aaai.v35i10.17107


Abstract:

The problem of identifying a probabilistic context free grammar has two aspects: the first is determining the grammar's topology (the rules of the grammar) and the second is estimating probabilistic weights for each rule. Given the hardness results for learning context-free grammars in general, and probabilistic grammars in particular, most of the literature has concentrated on the second problem. In this work we address the first problem. We restrict attention to structurally unambiguous weighted context-free grammars (SUWCFG) and provide a query learning algorithm for strucuturally unambiguous probabilistic context-free grammars (SUPCFG). We show that SUWCFG can be represented using co-linear multiplicity tree automata (CMTA), and provide a polynomial learning algorithm that learns CMTAs. We show that the learned CMTA can be converted into a probabilistic grammar, thus providing a complete algorithm for learning a strucutrally unambiguous probabilistic context free grammar (both the grammar topology and the probabilistic weights) using structured membership queries and structured equivalence queries. We demonstrate the usefulness of our algorithm in learning PCFGs over genomic data.

Topics: AAAI

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HOW TO CITE:

Dolav Nitay||Dana Fisman||Michal Ziv-Ukelson Learning of Structurally Unambiguous Probabilistic Grammars Proceedings of the AAAI Conference on Artificial Intelligence (2021) 9170-9178.

Dolav Nitay||Dana Fisman||Michal Ziv-Ukelson Learning of Structurally Unambiguous Probabilistic Grammars AAAI 2021, 9170-9178.

Dolav Nitay||Dana Fisman||Michal Ziv-Ukelson (2021). Learning of Structurally Unambiguous Probabilistic Grammars. Proceedings of the AAAI Conference on Artificial Intelligence, 9170-9178.

Dolav Nitay||Dana Fisman||Michal Ziv-Ukelson. Learning of Structurally Unambiguous Probabilistic Grammars. Proceedings of the AAAI Conference on Artificial Intelligence 2021 p.9170-9178.

Dolav Nitay||Dana Fisman||Michal Ziv-Ukelson. 2021. Learning of Structurally Unambiguous Probabilistic Grammars. "Proceedings of the AAAI Conference on Artificial Intelligence". 9170-9178.

Dolav Nitay||Dana Fisman||Michal Ziv-Ukelson. (2021) "Learning of Structurally Unambiguous Probabilistic Grammars", Proceedings of the AAAI Conference on Artificial Intelligence, p.9170-9178

Dolav Nitay||Dana Fisman||Michal Ziv-Ukelson, "Learning of Structurally Unambiguous Probabilistic Grammars", AAAI, p.9170-9178, 2021.

Dolav Nitay||Dana Fisman||Michal Ziv-Ukelson. "Learning of Structurally Unambiguous Probabilistic Grammars". Proceedings of the AAAI Conference on Artificial Intelligence, 2021, p.9170-9178.

Dolav Nitay||Dana Fisman||Michal Ziv-Ukelson. "Learning of Structurally Unambiguous Probabilistic Grammars". Proceedings of the AAAI Conference on Artificial Intelligence, (2021): 9170-9178.

Dolav Nitay||Dana Fisman||Michal Ziv-Ukelson. Learning of Structurally Unambiguous Probabilistic Grammars. AAAI[Internet]. 2021[cited 2023]; 9170-9178.


ISSN: 2374-3468


Published by AAAI Press, Palo Alto, California USA
Copyright 2022, Association for the Advancement of
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