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Description
| - We prove several relations between 3 energy minimization techniques. Methods for determining a provably optimal partial assignment of variables by Ivan Kovtun (IK), the linear programming relaxation approach (LP) and the popular expansion move algorithm by Yuri Boykov. We propose a novel suffcient condition of optimal partial assignment, which is based on LP relaxation and called LP-autarky. We show that methods of Kovtun, which build auxiliary submodular problems, fulfill this suffcient condition. The following link is thus established: LP relaxation cannot be tightened by IK. For non-submodular problems this is a non-trivial result. In the case of two labels, LP relaxation provides optimal partial assignment, known as persistency, which, as we show, dominates IK. Relating IK with expansion move, we show that the set of fixed points of expansion move with any %22truncation%22 rule for the initial problem and the problem restricted by one-vs-all method of IK would coincide.
- We prove several relations between 3 energy minimization techniques. Methods for determining a provably optimal partial assignment of variables by Ivan Kovtun (IK), the linear programming relaxation approach (LP) and the popular expansion move algorithm by Yuri Boykov. We propose a novel suffcient condition of optimal partial assignment, which is based on LP relaxation and called LP-autarky. We show that methods of Kovtun, which build auxiliary submodular problems, fulfill this suffcient condition. The following link is thus established: LP relaxation cannot be tightened by IK. For non-submodular problems this is a non-trivial result. In the case of two labels, LP relaxation provides optimal partial assignment, known as persistency, which, as we show, dominates IK. Relating IK with expansion move, we show that the set of fixed points of expansion move with any %22truncation%22 rule for the initial problem and the problem restricted by one-vs-all method of IK would coincide. (en)
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Title
| - On Partial Opimality by Auxiliary Submodular Problems
- On Partial Opimality by Auxiliary Submodular Problems (en)
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skos:prefLabel
| - On Partial Opimality by Auxiliary Submodular Problems
- On Partial Opimality by Auxiliary Submodular Problems (en)
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skos:notation
| - RIV/68407700:21230/11:00181662!RIV12-MSM-21230___
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http://linked.open...avai/predkladatel
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http://linked.open...avai/riv/aktivita
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http://linked.open...avai/riv/aktivity
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http://linked.open...iv/cisloPeriodika
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http://linked.open...vai/riv/dodaniDat
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http://linked.open...aciTvurceVysledku
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http://linked.open.../riv/druhVysledku
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http://linked.open...iv/duvernostUdaju
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http://linked.open...titaPredkladatele
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http://linked.open...dnocenehoVysledku
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http://linked.open...ai/riv/idVysledku
| - RIV/68407700:21230/11:00181662
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http://linked.open...riv/jazykVysledku
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http://linked.open.../riv/klicovaSlova
| - bag-of-words; query expansion; large scale image retrieval (en)
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http://linked.open.../riv/klicoveSlovo
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http://linked.open...odStatuVydavatele
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http://linked.open...ontrolniKodProRIV
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http://linked.open...i/riv/nazevZdroje
| - Control Systems and Computers
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http://linked.open...in/vavai/riv/obor
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http://linked.open...ichTvurcuVysledku
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http://linked.open...cetTvurcuVysledku
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http://linked.open...vavai/riv/projekt
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http://linked.open...UplatneniVysledku
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http://linked.open...v/svazekPeriodika
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http://linked.open...iv/tvurceVysledku
| - Hlaváč, Václav
- Shekhovtsov, Oleksandr
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issn
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http://localhost/t...ganizacniJednotka
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