Decision diagrams for the computation of semiring valuations

dc.contributor.authorWilson, Nic
dc.contributor.funderScience Foundation Irelanden
dc.date.accessioned2020-11-17T16:33:26Z
dc.date.available2020-11-17T16:33:26Z
dc.date.issued2005-07
dc.date.updated2020-11-04T13:29:30Z
dc.description.abstractThis paper describes a new approach to computation in a semiring-based system, which includes semiring-based CSPs (in particular weighted CSPs, fuzzy CSPs and standard CSPs) as well as Bayesian networks. The approach to computation is based on what we call semiring-labelled decision diagrams (SLDDs). These can be generated in a similar way to a standard search tree (decision tree) for solving a CSP, but some nodes are merged, creating a more compact representation; for certain classes of CSPs, the number of nodes in the resulting network will be a tiny fraction of the number of nodes in the corresponding search tree. A method is given for generating an SLDD that represents e.g., a particular instance of a semiring-based CSP; it is shown how this can be used to perform various computations of interest, such as solving a semiring-based CSP, finding optimal solutions, determining the possible values of each variable and counting solutions of a CSP.en
dc.description.statusPeer revieweden
dc.description.versionAccepted Versionen
dc.format.mimetypeapplication/pdfen
dc.identifier.citationWilson, N. (2005) 'Decision Diagrams for the Computation of Semiring Valuations', IJCAI'05: Proceedings of the 19th International Joint Conference on Artificial intelligence, Edinburgh, Scotland, 30 July - 05 August, pp. 331-336.en
dc.identifier.endpage336en
dc.identifier.startpage331en
dc.identifier.urihttps://hdl.handle.net/10468/10768
dc.language.isoenen
dc.publisherInternational Joint Conferences on Artificial Intelligence (ICJAI)en
dc.relation.projectinfo:eu-repo/grantAgreement/SFI/SFI Principal Investigator Programme (PI)/00/PI.1/C075/IE/Constraint Computation: Automation and Application/en
dc.relation.urihttps://www.ijcai.org/Proceedings/2005
dc.rights© August 1, 2005 International Joint Conferences on Artificial Intelligence. All rights reserved. This publication, or parts thereof, may not be reproduced in any form without permissionen
dc.subjectComputationen
dc.subjectSemiring-labelled decision diagrams (SLDDs)en
dc.subjectDecision diagramsen
dc.titleDecision diagrams for the computation of semiring valuationsen
dc.typeConference itemen
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