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Home / Proceedings / Proceedings of the AAAI Conference on Artificial Intelligence, 27 / No. 1: Twenty-Seventh AAAI Conference on Artificial Intelligence

Improving the Performance of Consistency Algorithms by Localizing and Bolstering Propagation in a Tree Decomposition

March 8, 2023

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Authors

Shant Karakashian

University of Nebraska-Lincoln


Robert Woodward

University of Nebraska-Lincoln


Berthe Choueiry

University of Nebraska-Lincoln


DOI:

10.1609/aaai.v27i1.8594


Abstract:

The tractability of a Constraint Satisfaction Problem (CSP)is guaranteed by a direct relationship between its consistencylevel and a structural parameter of its constraint network suchas the treewidth. This result is not widely exploited in practicebecause enforcing higher-level consistencies can be costlyand can change the structure of the constraint network andincrease its width. Recently, R(*,m)C was proposed as a relational consistency property that does not modify the structureof the graph and, thus, does not affect its width. In this paper,we explore two main strategies, based on a tree decomposition of the CSP, for improving the performance of enforcingR(*,m)C and getting closer to the above tractability condition. Those strategies are: a) localizing the application ofthe consistency algorithm to the clusters of the tree decomposition, and b) bolstering constraint propagation betweenclusters by adding redundant constraints at their separators,for which we propose three new schemes. We characterizethe resulting consistency properties by comparing them, theoretically and empirically, to the original R(*,m)C and thepopular GAC and maxRPWC, and establish the benefits ofour approach for solving difficult problems.

Topics: AAAI

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HOW TO CITE:

Shant Karakashian|| Robert Woodward|| Berthe Choueiry Improving the Performance of Consistency Algorithms by Localizing and Bolstering Propagation in a Tree Decomposition Proceedings of the AAAI Conference on Artificial Intelligence, 27 (2013) 466.

Shant Karakashian|| Robert Woodward|| Berthe Choueiry Improving the Performance of Consistency Algorithms by Localizing and Bolstering Propagation in a Tree Decomposition AAAI 2013, 466.

Shant Karakashian|| Robert Woodward|| Berthe Choueiry (2013). Improving the Performance of Consistency Algorithms by Localizing and Bolstering Propagation in a Tree Decomposition. Proceedings of the AAAI Conference on Artificial Intelligence, 27, 466.

Shant Karakashian|| Robert Woodward|| Berthe Choueiry. Improving the Performance of Consistency Algorithms by Localizing and Bolstering Propagation in a Tree Decomposition. Proceedings of the AAAI Conference on Artificial Intelligence, 27 2013 p.466.

Shant Karakashian|| Robert Woodward|| Berthe Choueiry. 2013. Improving the Performance of Consistency Algorithms by Localizing and Bolstering Propagation in a Tree Decomposition. "Proceedings of the AAAI Conference on Artificial Intelligence, 27". 466.

Shant Karakashian|| Robert Woodward|| Berthe Choueiry. (2013) "Improving the Performance of Consistency Algorithms by Localizing and Bolstering Propagation in a Tree Decomposition", Proceedings of the AAAI Conference on Artificial Intelligence, 27, p.466

Shant Karakashian|| Robert Woodward|| Berthe Choueiry, "Improving the Performance of Consistency Algorithms by Localizing and Bolstering Propagation in a Tree Decomposition", AAAI, p.466, 2013.

Shant Karakashian|| Robert Woodward|| Berthe Choueiry. "Improving the Performance of Consistency Algorithms by Localizing and Bolstering Propagation in a Tree Decomposition". Proceedings of the AAAI Conference on Artificial Intelligence, 27, 2013, p.466.

Shant Karakashian|| Robert Woodward|| Berthe Choueiry. "Improving the Performance of Consistency Algorithms by Localizing and Bolstering Propagation in a Tree Decomposition". Proceedings of the AAAI Conference on Artificial Intelligence, 27, (2013): 466.

Shant Karakashian|| Robert Woodward|| Berthe Choueiry. Improving the Performance of Consistency Algorithms by Localizing and Bolstering Propagation in a Tree Decomposition. AAAI[Internet]. 2013[cited 2023]; 466.


ISSN: 2374-3468


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