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Verfasst von:Swoboda, Paul [VerfasserIn]   i
 Kappes, Jörg Hendrik [VerfasserIn]   i
 Schnörr, Christoph [VerfasserIn]   i
 Savchynskyy, Bogdan [VerfasserIn]   i
Titel:Partial optimality by pruning for MAP-inference with general graphical models
Verf.angabe:Paul Swoboda, Alexander Shekhovtsov, Jörg Hendrik Kappes, Christoph Schnörr, and Bogdan Savchynskyy
Jahr:2016
Jahr des Originals:2015
Umfang:13 S.
Fussnoten:Date of publication 12 Oct 2015 ; Gesehen am 26.05.2020
Titel Quelle:Enthalten in: Institute of Electrical and Electronics EngineersIEEE transactions on pattern analysis and machine intelligence
Ort Quelle:New York, NY : IEEE, 1979
Jahr Quelle:2016
Band/Heft Quelle:38(2016), 7, Seite 1370-1382
ISSN Quelle:1939-3539
Abstract:We consider the energy minimization problem for undirected graphical models, also known as MAP-inference problem for Markov random fields which is NP-hard in general. We propose a novel polynomial time algorithm to obtain a part of its optimal non-relaxed integral solution. Our algorithm is initialized with variables taking integral values in the solution of a convex relaxation of the MAP-inference problem and iteratively prunes those, which do not satisfy our criterion for partial optimality. We show that our pruning strategy is in a certain sense theoretically optimal. Also empirically our method outperforms previous approaches in terms of the number of persistently labelled variables. The method is very general, as it is applicable to models with arbitrary factors of an arbitrary order and can employ any solver for the considered relaxed problem. Our method's runtime is determined by the runtime of the convex relaxation solver for the MAP-inference problem.
DOI:doi:10.1109/TPAMI.2015.2484327
URL:Bitte beachten Sie: Dies ist ein Bibliographieeintrag. Ein Volltextzugriff für Mitglieder der Universität besteht hier nur, falls für die entsprechende Zeitschrift/den entsprechenden Sammelband ein Abonnement besteht oder es sich um einen OpenAccess-Titel handelt.

Volltext: https://doi.org/10.1109/TPAMI.2015.2484327
 DOI: https://doi.org/10.1109/TPAMI.2015.2484327
Datenträger:Online-Ressource
Sprache:eng
Sach-SW:computational complexity
 convex relaxation solver
 directed graphs
 energy minimization
 energy minimization problem
 general graphical models
 Graphical models
 inference mechanisms
 Labeling
 local polytope
 MAP-inference
 MAP-inference problem
 Markov processes
 Markov random fields
 minimisation
 Minimization
 NP-hard problem
 optimal nonrelaxed integral solution
 partial optimality
 persistency
 polynomial time algorithm
 Polynomials
 pruning strategy
 Runtime
 Signal processing algorithms
 undirected graphical models
K10plus-PPN:1698831986
Verknüpfungen:→ Zeitschrift

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