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Home / Proceedings / Proceedings of the AAAI Conference on Artificial Intelligence, 32

Lifted Generalized Dual Decomposition

March 15, 2023

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Published Date: 2018-02-08

Registration: ISSN 2374-3468 (Online) ISSN 2159-5399 (Print)

Copyright: Published by AAAI Press, Palo Alto, California USA Copyright © 2018, Association for the Advancement of Artificial Intelligence All Rights Reserved.

Authors

Nicholas Gallo

UC Irvine


Alexander Ihler

UC Irvine


DOI:

10.1609/aaai.v32i1.12126


Abstract:

Many real-world problems, such as Markov Logic Networks (MLNs) with evidence, can be represented as a highly symmetric graphical model perturbed by additional potentials. In these models, variational inference approaches that exploit exact model symmetries are often forced to ground the entire problem, while methods that exploit approximate symmetries (such as by constructing an over-symmetric approximate model) offer no guarantees on solution quality. In this paper, we present a method based on a lifted variant of the generalized dual decomposition (GenDD) for marginal MAP inference which provides a principled way to exploit symmetric sub-structures in a graphical model. We develop a coarse-to-fine inference procedure that provides any-time upper bounds on the objective. The upper bound property of GenDD provides a principled way to guide the refinement process, providing good any-time performance and eventually arriving at the ground optimal solution.

Topics: AAAI

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Nicholas Gallo||Alexander Ihler Lifted Generalized Dual Decomposition Proceedings of the AAAI Conference on Artificial Intelligence, 32 (2018) .

Nicholas Gallo||Alexander Ihler Lifted Generalized Dual Decomposition AAAI 2018, .

Nicholas Gallo||Alexander Ihler (2018). Lifted Generalized Dual Decomposition. Proceedings of the AAAI Conference on Artificial Intelligence, 32, .

Nicholas Gallo||Alexander Ihler. Lifted Generalized Dual Decomposition. Proceedings of the AAAI Conference on Artificial Intelligence, 32 2018 p..

Nicholas Gallo||Alexander Ihler. 2018. Lifted Generalized Dual Decomposition. "Proceedings of the AAAI Conference on Artificial Intelligence, 32". .

Nicholas Gallo||Alexander Ihler. (2018) "Lifted Generalized Dual Decomposition", Proceedings of the AAAI Conference on Artificial Intelligence, 32, p.

Nicholas Gallo||Alexander Ihler, "Lifted Generalized Dual Decomposition", AAAI, p., 2018.

Nicholas Gallo||Alexander Ihler. "Lifted Generalized Dual Decomposition". Proceedings of the AAAI Conference on Artificial Intelligence, 32, 2018, p..

Nicholas Gallo||Alexander Ihler. "Lifted Generalized Dual Decomposition". Proceedings of the AAAI Conference on Artificial Intelligence, 32, (2018): .

Nicholas Gallo||Alexander Ihler. Lifted Generalized Dual Decomposition. AAAI[Internet]. 2018[cited 2023]; .


ISSN: 2374-3468


Published by AAAI Press, Palo Alto, California USA
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101, Palo Alto, California 94303 All Rights Reserved

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