FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2143133882> ?p ?o ?g. }

• W2143133882 endingPage "186" @default.
• W2143133882 startingPage "177" @default.
• W2143133882 abstract "Recent advances in shape matching have shown that jointly optimizing the maps among the shapes in a collection can lead to significant improvements when compared to estimating maps between pairs of shapes in isolation. These methods typically invoke a cycle-consistency criterion --- the fact that compositions of maps along a cycle of shapes should approximate the identity map. This condition regularizes the network and allows for the correction of errors and imperfections in individual maps. In particular, it encourages the estimation of maps between dissimilar shapes by compositions of maps along a path of more similar shapes.In this paper, we introduce a novel approach for obtaining consistent shape maps in a collection that formulates the cycle-consistency constraint as the solution to a semidefinite program (SDP). The proposed approach is based on the observation that, if the ground truth maps between the shapes are cycle-consistent, then the matrix that stores all pair-wise maps in blocks is low-rank and positive semidefinite. Motivated by recent advances in techniques for low-rank matrix recovery via semidefinite programming, we formulate the problem of estimating cycle-consistent maps as finding the closest positive semidefinite matrix to an input matrix that stores all the initial maps. By analyzing the Karush-Kuhn-Tucker (KKT) optimality condition of this program, we derive theoretical guarantees for the proposed algorithm, ensuring the correctness of the recovery when the errors in the inputs maps do not exceed certain thresholds. Besides this theoretical guarantee, experimental results on benchmark datasets show that the proposed approach outperforms state-of-the-art multiple shape matching methods." @default.
• W2143133882 created "2016-06-24" @default.
• W2143133882 creator A5056540212 @default.
• W2143133882 creator A5065368881 @default.
• W2143133882 date "2013-07-03" @default.
• W2143133882 modified "2023-10-01" @default.
• W2143133882 title "Consistent shape maps via semidefinite programming" @default.
• W2143133882 cites W1587744656 @default.
• W2143133882 cites W1590776313 @default.
• W2143133882 cites W180168462 @default.
• W2143133882 cites W1963547452 @default.
• W2143133882 cites W1989191365 @default.
• W2143133882 cites W2047161559 @default.
• W2143133882 cites W2057101663 @default.
• W2143133882 cites W2057427057 @default.
• W2143133882 cites W2058017216 @default.
• W2143133882 cites W2073431710 @default.
• W2143133882 cites W2100657858 @default.
• W2143133882 cites W2105106232 @default.
• W2143133882 cites W2108681527 @default.
• W2143133882 cites W2124123435 @default.
• W2143133882 cites W2129131372 @default.
• W2143133882 cites W2142333440 @default.
• W2143133882 cites W2145962650 @default.
• W2143133882 cites W2164278908 @default.
• W2143133882 cites W2295332248 @default.
• W2143133882 cites W2611328865 @default.
• W2143133882 cites W2963537367 @default.
• W2143133882 cites W3104043637 @default.
• W2143133882 doi "https://doi.org/10.5555/2600289.2600314" @default.
• W2143133882 hasPublicationYear "2013" @default.
• W2143133882 type Work @default.
• W2143133882 sameAs 2143133882 @default.
• W2143133882 citedByCount "93" @default.
• W2143133882 countsByYear W21431338822013 @default.
• W2143133882 countsByYear W21431338822014 @default.
• W2143133882 countsByYear W21431338822015 @default.
• W2143133882 countsByYear W21431338822016 @default.
• W2143133882 countsByYear W21431338822017 @default.
• W2143133882 countsByYear W21431338822018 @default.
• W2143133882 countsByYear W21431338822019 @default.
• W2143133882 countsByYear W21431338822020 @default.
• W2143133882 countsByYear W21431338822021 @default.
• W2143133882 countsByYear W21431338822022 @default.
• W2143133882 crossrefType "proceedings-article" @default.
• W2143133882 hasAuthorship W2143133882A5056540212 @default.
• W2143133882 hasAuthorship W2143133882A5065368881 @default.
• W2143133882 hasConcept C101901036 @default.
• W2143133882 hasConcept C106487976 @default.
• W2143133882 hasConcept C11413529 @default.
• W2143133882 hasConcept C115961682 @default.
• W2143133882 hasConcept C126255220 @default.
• W2143133882 hasConcept C154945302 @default.
• W2143133882 hasConcept C159985019 @default.
• W2143133882 hasConcept C192562407 @default.
• W2143133882 hasConcept C23379248 @default.
• W2143133882 hasConcept C2776436953 @default.
• W2143133882 hasConcept C33923547 @default.
• W2143133882 hasConcept C41008148 @default.
• W2143133882 hasConcept C55439883 @default.
• W2143133882 hasConceptScore W2143133882C101901036 @default.
• W2143133882 hasConceptScore W2143133882C106487976 @default.
• W2143133882 hasConceptScore W2143133882C11413529 @default.
• W2143133882 hasConceptScore W2143133882C115961682 @default.
• W2143133882 hasConceptScore W2143133882C126255220 @default.
• W2143133882 hasConceptScore W2143133882C154945302 @default.
• W2143133882 hasConceptScore W2143133882C159985019 @default.
• W2143133882 hasConceptScore W2143133882C192562407 @default.
• W2143133882 hasConceptScore W2143133882C23379248 @default.
• W2143133882 hasConceptScore W2143133882C2776436953 @default.
• W2143133882 hasConceptScore W2143133882C33923547 @default.
• W2143133882 hasConceptScore W2143133882C41008148 @default.
• W2143133882 hasConceptScore W2143133882C55439883 @default.
• W2143133882 hasIssue "5" @default.
• W2143133882 hasLocation W21431338821 @default.
• W2143133882 hasOpenAccess W2143133882 @default.
• W2143133882 hasPrimaryLocation W21431338821 @default.
• W2143133882 hasRelatedWork W1866515447 @default.
• W2143133882 hasRelatedWork W1926639317 @default.
• W2143133882 hasRelatedWork W2005720384 @default.
• W2143133882 hasRelatedWork W2047161559 @default.
• W2143133882 hasRelatedWork W2057101663 @default.
• W2143133882 hasRelatedWork W2057427057 @default.
• W2143133882 hasRelatedWork W2058017216 @default.
• W2143133882 hasRelatedWork W2073431710 @default.
• W2143133882 hasRelatedWork W2118557299 @default.
• W2143133882 hasRelatedWork W2124123435 @default.
• W2143133882 hasRelatedWork W2143703915 @default.
• W2143133882 hasRelatedWork W2144012927 @default.
• W2143133882 hasRelatedWork W2151103935 @default.
• W2143133882 hasRelatedWork W2151975094 @default.
• W2143133882 hasRelatedWork W2166820607 @default.
• W2143133882 hasRelatedWork W2189538311 @default.
• W2143133882 hasRelatedWork W2369976370 @default.
• W2143133882 hasRelatedWork W2474531669 @default.
• W2143133882 hasRelatedWork W2962793481 @default.
• W2143133882 hasRelatedWork W2963537367 @default.
• W2143133882 hasVolume "32" @default.

• next