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Home / Proceedings / Proceedings of the AAAI Conference on Artificial Intelligence, 26 / No. 1: Twenty-Sixth AAAI Conference on Artificial Intelligence

Counting-MLNs: Learning Relational Structure for Decision Making

March 8, 2023

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Authors

Aniruddh Nath

University of Washington


Matthew Richardson

Microsoft Research


DOI:

10.1609/aaai.v26i1.8318


Abstract:

Many first-order probabilistic models can be represented much more compactly using aggregation operations such as counting. While traditional statistical relational representations share factors across sets of interchangeable random variables, representations that explicitly model aggregations also exploit interchangeability of random variables within factors. This is especially useful in decision making settings, where an agent might need to reason about counts of the different types of objects it interacts with. Previous work on counting formulas in statistical relational representations has mostly focused on the problem of exact inference on an existing model. The problem of learning such models is largely unexplored. In this paper, we introduce Counting Markov Logic Networks (C-MLNs), an extension of Markov logic networks that can compactly represent complex counting formulas. We present a structure learning algorithm for C-MLNs; we apply this algorithm to the novel problem of generalizing natural language instructions, and to relational reinforcement learning in the Crossblock domain, in which standard MLN learning algorithms fail to find any useful structure. The C-MLN policies learned from natural language instructions are compact and intuitive, and, despite requiring no instructions on test games, win 20% more Crossblock games than a state-of-the-art algorithm for following natural language instructions.

Topics: AAAI

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HOW TO CITE:

Aniruddh Nath|| Matthew Richardson Counting-MLNs: Learning Relational Structure for Decision Making Proceedings of the AAAI Conference on Artificial Intelligence, 26 (2012) 1068.

Aniruddh Nath|| Matthew Richardson Counting-MLNs: Learning Relational Structure for Decision Making AAAI 2012, 1068.

Aniruddh Nath|| Matthew Richardson (2012). Counting-MLNs: Learning Relational Structure for Decision Making. Proceedings of the AAAI Conference on Artificial Intelligence, 26, 1068.

Aniruddh Nath|| Matthew Richardson. Counting-MLNs: Learning Relational Structure for Decision Making. Proceedings of the AAAI Conference on Artificial Intelligence, 26 2012 p.1068.

Aniruddh Nath|| Matthew Richardson. 2012. Counting-MLNs: Learning Relational Structure for Decision Making. "Proceedings of the AAAI Conference on Artificial Intelligence, 26". 1068.

Aniruddh Nath|| Matthew Richardson. (2012) "Counting-MLNs: Learning Relational Structure for Decision Making", Proceedings of the AAAI Conference on Artificial Intelligence, 26, p.1068

Aniruddh Nath|| Matthew Richardson, "Counting-MLNs: Learning Relational Structure for Decision Making", AAAI, p.1068, 2012.

Aniruddh Nath|| Matthew Richardson. "Counting-MLNs: Learning Relational Structure for Decision Making". Proceedings of the AAAI Conference on Artificial Intelligence, 26, 2012, p.1068.

Aniruddh Nath|| Matthew Richardson. "Counting-MLNs: Learning Relational Structure for Decision Making". Proceedings of the AAAI Conference on Artificial Intelligence, 26, (2012): 1068.

Aniruddh Nath|| Matthew Richardson. Counting-MLNs: Learning Relational Structure for Decision Making. AAAI[Internet]. 2012[cited 2023]; 1068.


ISSN: 2374-3468


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