Multicuts and perturb & MAP for probabilistic graph clustering

• Verfasst von: Kappes, Jörg Hendrik [VerfasserIn]
• Verfasst von: Swoboda, Paul [VerfasserIn]
• Verfasst von: Schnörr, Christoph [VerfasserIn]
• Titel: Multicuts and perturb & MAP for probabilistic graph clustering
• Verf.angabe: Jörg Hendrik Kappes, Paul Swoboda, Bogdan Savchynskyy, Tamir Hazan, Christoph Schnörr
• E-Jahr: 2016
• Jahr: October 2016
• Umfang: 17 S.
• Fussnoten: Gesehen am 19.12.2018
• Titel Quelle: Enthalten in: Journal of mathematical imaging and vision
• Ort Quelle: Dordrecht [u.a.] : Springer Science + Business Media B.V, 1992
• Jahr Quelle: 2016
• Band/Heft Quelle: 56(2016), 2, Seite 221-237
• ISSN Quelle: 1573-7683
• DOI: doi:10.1007/s10851-016-0659-3
• Datenträger: Online-Ressource
• Sprache: eng
• Sach-SW: Correlation clustering
• Sach-SW: Graphical models
• Sach-SW: Multicut
• Sach-SW: Perturb and MAP
• K10plus-PPN: 1585756415

Abstract

We present a probabilistic graphical model formulation for the graph clustering problem. This enables us to locally represent uncertainty of image partitions by approximate marginal distributions in a mathematically substantiated way, and to rectify local data term cues so as to close contours and to obtain valid partitions. We exploit recent progress on globally optimal MAP inference by integer programming and on perturbation-based approximations of the log-partition function, in order to sample clusterings and to estimate marginal distributions of node-pairs both more accurately and more efficiently than state-of-the-art methods. Our approach works for any graphically represented problem instance. This is demonstrated for image segmentation and social network cluster analysis. Our mathematical ansatz should be relevant also for other combinatorial problems.