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We propose a spectral clustering method based on local principal components analysis (PCA).
Orthogonal and oblique projectors and the characteristics of pairs of vector spaces
Afriat, S. N. (1957) · 1957
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Curvature measures
Federer, H. (1959) · 1959
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Probability inequalities for sums of bounded random variables
Hoeffding, W. (1963) · 1963
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The rotation of eigenvectors by a perturbation. III
Davis, C. and W. M. Kahan (1970) · 1970
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Matrix perturbation theory
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5 ± 2 5\pm 2 eigenimages suffice: An empirical investigation of low-dimensional lighting models
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Connectivity of the mutual k-nearest-neighbor graph in clustering and outlier detection
Brito, M. R., E. L. Chávez, A. J. Quiroz, and J. E. Yukich (1997, August) · 1997
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Granulometric smoothing
Walther, G. (1997) · 1997
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Mixtures of probabilistic principal component analysers
Tipping, M. and C. Bishop (1999) · 1999
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Constrained k k -means clustering
Bradley, P., K. Bennett, and A. Demiriz (2000) · 2000
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Grouping and dimensionality reduction by locally linear embedding
Polito, M. and P. Perona (2001) · 2001
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Detection of non-random patterns in cosmological gravitational clustering
Valdarnini, R. (2001) · 2001
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Statistics of the Galaxy Distribution
Martínez, V. and E. Saar (2002) · 2002
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On spectral clustering: Analysis and an algorithm
Ng, A., M. Jordan, and Y. Weiss (2002) · 2002
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Lambertian reflectance and linear subspaces
Basri, R. and D. Jacobs (2003) · 2003
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Clustering appearances of objects under varying illumination conditions
Ho, J., M. Yang, J. Lim, K. Lee, and D. Kriegman (2003) · 2003
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Self-tuning spectral clustering
Zelnik-Manor, L. and P. Perona (2004) · 2004
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Beyond pairwise clustering
Agarwal, S., J. Lim, L. Zelnik-Manor, P. Perona, D. Kriegman, and S. Belongie (2005) · 2005
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Similarity based vehicle trajectory clustering and anomaly detection
Fu, Z., W. Hu, and T. Tan (2005) · 2005
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Dimension induced clustering
Gionis, A., A. Hinneburg, S. Papadimitriou, and P. Tsaparas (2005) · 2005
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Manifold clustering
Souvenir, R. and R. Pless (2005) · 2005
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Estimation of subspace arrangements with applications in modeling and segmenting mixed data
Ma, Y., A. Y. Yang, H. Derksen, and R. Fossum (2008) · 2008
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Finding the homology of submanifolds with high confidence from random samples
Niyogi, P., S. Smale, and S. Weinberger (2008) · 2008
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Kernel spectral curvature clustering (KSCC)
Chen, G., S. Atev, and G. Lerman (2009) · 2009
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Multi-manifold semi-supervised learning
Goldberg, A., X. Zhu, A. Singh, Z. Xu, and R. Nowak (2009) · 2009
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Multiscale estimation of intrinsic dimensionality of data sets
Little, A., Y. Jung, and M. Maggioni (2009) · 2009
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Optimal construction of k-nearest-neighbor graphs for identifying noisy clusters
Maier, M., M. Hein, and U. von Luxburg (2009) · 2009
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Agarwal, S., K. Branson, and S. Belongie (2006) · 2006
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Fast multiscale clustering and manifold identification
Kushnir, D., M. Galun, and A. Brandt (2006) · 2006
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Multi-way clustering using super-symmetric non-negative tensor factorization
Shashua, A., R. Zass, and T. Hazan (2006) · 2006
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A unified algebraic approach to 2-D and 3-D motion segmentation and estimation
Vidal, R. and Y. Ma (2006) · 2006
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Manifold clustering via energy minimization
Guo, Q., H. Li, W. Chen, I.-F. Shen, and J. Parkkinen (2007) · 2007
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Stratification learning: Detecting mixed density and dimensionality in high dimensional point clouds
Haro, G., G. Randall, and G. Sapiro (2007) · 2007
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Clustering based on pairwise distances when the data is of mixed dimensions
Arias-Castro, E. (2011) · 2011
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Spectral clustering based on local linear approximations
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Sparse manifold clustering and embedding
Elhamifar, E. and R. Vidal (2011) · 2011
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Optimal tangent plane recovery from noisy manifold samples
Kaslovsky, D. N. and F. G. Meyer (2011) · 2011
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A geometric analysis of subspace clustering with outliers
Soltanolkotabi, M. and E. J. Candès (2011) · 2011
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Spectral clustering on multiple manifolds
Wang, Y., Y. Jiang, Y. Wu, and Z.-H. Zhou (2011, july) · 2011
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Robust multiple manifolds structure learning
Gong, D., X. Zhao, and G. Medioni (2012, July) · 2012
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User-friendly tail bounds for sums of random matrices
Tropp, J. (2012) · 2012
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