Spectral Sparse Representation for Clustering: Evolved from PCA, K-means, Laplacian Eigenmap, and Ratio Cut
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Summary
It is found that the spectral graph theory underlies a series of elementary methods and can unify them into a complete framework, called spectral sparse representation (SSR), and Scut, a clustering approach derived from SSR reaches the state-of-the-art performance in the spectral clustering family.
- Type
- preprint
- Published
- 2014-03-25
- Cited by
- 3
- References
- 96
- Access
- Open access
- OpenAlex
- https://openalex.org/W1511293659
- Semantic Scholar
- https://api.semanticscholar.org/CorpusID:6047310
Keywords
Pattern recognition (psychology), Cluster analysis, Spectral clustering, Representation (politics), Laplace operator
References
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- Spectral Graph Theory
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- A spectral method to separate disconnected and nearly-disconnected web graph components
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- Spectral K-Way Ratio-Cut Partitioning and Clustering
- From Sparse Solutions of Systems of Equations to Sparse Modeling of Signals and Images
- The Elements of Statistical Learning: Data Mining, Inference, and Prediction
- Atomic Decomposition by Basis Pursuit
- Classification and clustering via dictionary learning with structured incoherence and shared features
- Sparse Subspace Clustering: Algorithm, Theory, and Applications
- Robust Recovery of Subspace Structures by Low-Rank Representation
- On the Role of Sparse and Redundant Representations in Image Processing
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