Measuring uncertainty in graph cut solutions

In recent years graph cuts have become a popular tool for performing inference in Markov and conditional random fields. In this context the question arises as to whether it might be possible to compute a measure of uncertainty associated with the graph cut solutions. In this paper we answer this par...

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Main Authors: Kohli, P, Torr, PHS
Format: Journal article
Language:English
Published: Elsevier 2008
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author Kohli, P
Torr, PHS
author_facet Kohli, P
Torr, PHS
author_sort Kohli, P
collection OXFORD
description In recent years graph cuts have become a popular tool for performing inference in Markov and conditional random fields. In this context the question arises as to whether it might be possible to compute a measure of uncertainty associated with the graph cut solutions. In this paper we answer this particular question by showing how the min-marginals associated with the label assignments of a random field can be efficiently computed using a new algorithm based on dynamic graph cuts. The min-marginal energies obtained by our proposed algorithm are exact, as opposed to the ones obtained from other inference algorithms like loopy belief propagation and generalized belief propagation. The paper also shows how min-marginals can be used for parameter learning in conditional random fields.
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spelling oxford-uuid:26452a16-6478-4191-a1db-3aeed392488e2024-08-02T15:15:46ZMeasuring uncertainty in graph cut solutionsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:26452a16-6478-4191-a1db-3aeed392488eEnglishSymplectic ElementsElsevier2008Kohli, PTorr, PHSIn recent years graph cuts have become a popular tool for performing inference in Markov and conditional random fields. In this context the question arises as to whether it might be possible to compute a measure of uncertainty associated with the graph cut solutions. In this paper we answer this particular question by showing how the min-marginals associated with the label assignments of a random field can be efficiently computed using a new algorithm based on dynamic graph cuts. The min-marginal energies obtained by our proposed algorithm are exact, as opposed to the ones obtained from other inference algorithms like loopy belief propagation and generalized belief propagation. The paper also shows how min-marginals can be used for parameter learning in conditional random fields.
spellingShingle Kohli, P
Torr, PHS
Measuring uncertainty in graph cut solutions
title Measuring uncertainty in graph cut solutions
title_full Measuring uncertainty in graph cut solutions
title_fullStr Measuring uncertainty in graph cut solutions
title_full_unstemmed Measuring uncertainty in graph cut solutions
title_short Measuring uncertainty in graph cut solutions
title_sort measuring uncertainty in graph cut solutions
work_keys_str_mv AT kohlip measuringuncertaintyingraphcutsolutions
AT torrphs measuringuncertaintyingraphcutsolutions