Matches in SemOpenAlex for { <https://semopenalex.org/work/W2950931631> ?p ?o ?g. }
- W2950931631 abstract "Subspace clustering and feature extraction are two of the most commonly used unsupervised learning techniques in computer vision and pattern recognition. State-of-the-art techniques for subspace clustering make use of recent advances in sparsity and rank minimization. However, existing techniques are computationally expensive and may result in degenerate solutions that degrade clustering performance in the case of insufficient data sampling. To partially solve these problems, and inspired by existing work on matrix factorization, this paper proposes fixed-rank representation (FRR) as a unified framework for unsupervised visual learning. FRR is able to reveal the structure of multiple subspaces in closed-form when the data is noiseless. Furthermore, we prove that under some suitable conditions, even with insufficient observations, FRR can still reveal the true subspace memberships. To achieve robustness to outliers and noise, a sparse regularizer is introduced into the FRR framework. Beyond subspace clustering, FRR can be used for unsupervised feature extraction. As a non-trivial byproduct, a fast numerical solver is developed for FRR. Experimental results on both synthetic data and real applications validate our theoretical analysis and demonstrate the benefits of FRR for unsupervised visual learning." @default.
- W2950931631 created "2019-06-27" @default.
- W2950931631 creator A5003508045 @default.
- W2950931631 creator A5016399094 @default.
- W2950931631 creator A5042370642 @default.
- W2950931631 creator A5053622281 @default.
- W2950931631 date "2012-03-09" @default.
- W2950931631 modified "2023-09-26" @default.
- W2950931631 title "Fixed-Rank Representation for Unsupervised Visual Learning" @default.
- W2950931631 cites W1671442059 @default.
- W2950931631 cites W1736339626 @default.
- W2950931631 cites W1950520880 @default.
- W2950931631 cites W2003217181 @default.
- W2950931631 cites W2025341678 @default.
- W2950931631 cites W2037549374 @default.
- W2950931631 cites W2052570068 @default.
- W2950931631 cites W2054199929 @default.
- W2950931631 cites W2071128523 @default.
- W2950931631 cites W2085261163 @default.
- W2950931631 cites W2100549954 @default.
- W2950931631 cites W2103250033 @default.
- W2950931631 cites W2103268563 @default.
- W2950931631 cites W2118550318 @default.
- W2950931631 cites W2121947440 @default.
- W2950931631 cites W2129812935 @default.
- W2950931631 cites W2137659841 @default.
- W2950931631 cites W2139054653 @default.
- W2950931631 cites W2145152441 @default.
- W2950931631 cites W2145962650 @default.
- W2950931631 cites W2152758153 @default.
- W2950931631 cites W2154872931 @default.
- W2950931631 cites W79405465 @default.
- W2950931631 doi "https://doi.org/10.48550/arxiv.1203.2210" @default.
- W2950931631 hasPublicationYear "2012" @default.
- W2950931631 type Work @default.
- W2950931631 sameAs 2950931631 @default.
- W2950931631 citedByCount "20" @default.
- W2950931631 countsByYear W29509316312013 @default.
- W2950931631 countsByYear W29509316312014 @default.
- W2950931631 countsByYear W29509316312015 @default.
- W2950931631 countsByYear W29509316312016 @default.
- W2950931631 countsByYear W29509316312017 @default.
- W2950931631 countsByYear W29509316312018 @default.
- W2950931631 countsByYear W29509316312019 @default.
- W2950931631 crossrefType "posted-content" @default.
- W2950931631 hasAuthorship W2950931631A5003508045 @default.
- W2950931631 hasAuthorship W2950931631A5016399094 @default.
- W2950931631 hasAuthorship W2950931631A5042370642 @default.
- W2950931631 hasAuthorship W2950931631A5053622281 @default.
- W2950931631 hasBestOaLocation W29509316311 @default.
- W2950931631 hasConcept C104317684 @default.
- W2950931631 hasConcept C119857082 @default.
- W2950931631 hasConcept C12362212 @default.
- W2950931631 hasConcept C153180895 @default.
- W2950931631 hasConcept C154945302 @default.
- W2950931631 hasConcept C185592680 @default.
- W2950931631 hasConcept C2524010 @default.
- W2950931631 hasConcept C32834561 @default.
- W2950931631 hasConcept C33923547 @default.
- W2950931631 hasConcept C41008148 @default.
- W2950931631 hasConcept C52622490 @default.
- W2950931631 hasConcept C55493867 @default.
- W2950931631 hasConcept C59404180 @default.
- W2950931631 hasConcept C63479239 @default.
- W2950931631 hasConcept C73555534 @default.
- W2950931631 hasConcept C79337645 @default.
- W2950931631 hasConcept C8038995 @default.
- W2950931631 hasConceptScore W2950931631C104317684 @default.
- W2950931631 hasConceptScore W2950931631C119857082 @default.
- W2950931631 hasConceptScore W2950931631C12362212 @default.
- W2950931631 hasConceptScore W2950931631C153180895 @default.
- W2950931631 hasConceptScore W2950931631C154945302 @default.
- W2950931631 hasConceptScore W2950931631C185592680 @default.
- W2950931631 hasConceptScore W2950931631C2524010 @default.
- W2950931631 hasConceptScore W2950931631C32834561 @default.
- W2950931631 hasConceptScore W2950931631C33923547 @default.
- W2950931631 hasConceptScore W2950931631C41008148 @default.
- W2950931631 hasConceptScore W2950931631C52622490 @default.
- W2950931631 hasConceptScore W2950931631C55493867 @default.
- W2950931631 hasConceptScore W2950931631C59404180 @default.
- W2950931631 hasConceptScore W2950931631C63479239 @default.
- W2950931631 hasConceptScore W2950931631C73555534 @default.
- W2950931631 hasConceptScore W2950931631C79337645 @default.
- W2950931631 hasConceptScore W2950931631C8038995 @default.
- W2950931631 hasLocation W29509316311 @default.
- W2950931631 hasOpenAccess W2950931631 @default.
- W2950931631 hasPrimaryLocation W29509316311 @default.
- W2950931631 hasRelatedWork W2023333330 @default.
- W2950931631 hasRelatedWork W2053673812 @default.
- W2950931631 hasRelatedWork W2128580395 @default.
- W2950931631 hasRelatedWork W2592385986 @default.
- W2950931631 hasRelatedWork W2695951553 @default.
- W2950931631 hasRelatedWork W2772780115 @default.
- W2950931631 hasRelatedWork W2775464024 @default.
- W2950931631 hasRelatedWork W2899683012 @default.
- W2950931631 hasRelatedWork W2905846897 @default.
- W2950931631 hasRelatedWork W3093564170 @default.
- W2950931631 isParatext "false" @default.
- W2950931631 isRetracted "false" @default.
- W2950931631 magId "2950931631" @default.