Fetching the paper…
Reading the bibliography…
This paper advocates a novel framework for segmenting a dataset in a Riemannian manifold $M$ into clusters lying around low-dimensional submanifolds of $M$.
The rotation of eigenvectors by a perturbation. III
C. Davis and W. M. Kahan · 1970
Earlier work this paper cites.
Sur l’approximation par éléments finis et la résolution par pénalisation-dualité d’une classe de problèmes de Dirichlet non linéaires
R. Glowinski and A. Marrocco · 1975
Earlier work this paper cites.
A dual algorithm for the solution of nonlinear variational problems via finite-element approximations
D. Gabay and B. Mercier · 1976
Earlier work this paper cites.
Comparison theorems for the volumes of tubes as generalizations of the weyl tube formula
A. Gray · 1982
Earlier work this paper cites.
Matrix perturbation theory
G. W. Stewart and J. G. Sun · 1990
Earlier work this paper cites.
Factorization-based segmentation of motions
T. E. Boult and L. G. Brown · 1991
Earlier work this paper cites.
Riemannian Geometry
M. P. do Carmo · 1992
Earlier work this paper cites.
A multibody factorization method for independently moving objects
J. Costeira and T. Kanade · 1998
Earlier work this paper cites.
Mixtures of probabilistic principal component analysers
M. Tipping and C. Bishop · 1999
Earlier work this paper cites.
Using the fractal dimension to cluster datasets
D. Barbará and P. Chen · 2000
Earlier work this paper cites.
k-plane clustering
P. Bradley and O. Mangasarian · 2000
Earlier work this paper cites.
Nearest q q -flat to m m points
P. Tseng · 2000
Earlier work this paper cites.
Motion segmentation by subspace separation and model selection
K. Kanatani · 2001
Earlier work this paper cites.
Toward the optimal preconditioned eigensolver: Locally optimal block preconditioned conjugate gradient method
A. Knyazev · 2001
Earlier work this paper cites.
On spectral clustering: Analysis and an algorithm
A. Y. Ng, M. I. Jordan, and Y. Weiss · 2001
Earlier work this paper cites.
Grouping and dimensionality reduction by locally linear embedding
M. Polito and P. Perona · 2001
Earlier work this paper cites.
Evaluation and selection of models for motion segmentation
K. Kanatani · 2002
Earlier work this paper cites.
Dynamic textures
G. Doretto, A. Chiuso, Y. N. Wu, and S. Soatto · 2003
Earlier work this paper cites.
Efficient algorithms for inferences on Grassmann manifolds
K. Gallivan, A. Srivastava, X. Liu, and P. V. Dooren · 2003
Earlier work this paper cites.
Clustering appearances of objects under varying illumination conditions
J. Ho, M. Yang, J. Lim, K. Lee, and D. Kriegman · 2003
Earlier work this paper cites.
Self-Tuning Spectral Clustering
L. Zelnik-Manor and P. Perona · 2004
Earlier work this paper cites.
Dimension induced clustering
A. Gionis, A. Hinneburg, S. Papadimitriou, and P. Tsaparas · 2005
Earlier work this paper cites.
Distance functions and geodesics on submanifolds of rd and point clouds
F. Mémoli and G. Sapiro · 2005
Earlier work this paper cites.
Multiscale representations for manifold-valued data
I. U. Rahman, I. Drori, V. C. Stodden, D. L. Donoho, and P. Schröder · 2005
Earlier work this paper cites.
Manifold clustering
R. Souvenir and R. Pless · 2005
Earlier work this paper cites.
Simultaneous multiple 3D motion estimation via mode finding on Lie groups
O. Tuzel, R. Subbarao, and P. Meer · 2005
Earlier work this paper cites.
Generalized principal component analysis (GPCA)
R. Vidal, Y. Ma, and S. Sastry · 2005
Cited alongside, same era.
Grassmann clustering
P. Gruber and F. J. Theis · 2006
Cited alongside, same era.
Stratification learning: Detecting mixed density and dimensionality in high dimensional point clouds
G. Haro, G. Randall, and G. Sapiro · 2006
Cited alongside, same era.
Fast multiscale clustering and manifold identification
D. Kushnir, M. Galun, and A. Brandt · 2006
Cited alongside, same era.
Nonlinear mean shift for clustering over analytic manifolds
R. Subbarao and P. Meer · 2006
Cited alongside, same era.
A general framework for motion segmentation: Independent, articulated, rigid, non-rigid, degenerate and nondegenerate
J. Yan and M. Pollefeys · 2006
Cited alongside, same era.
Convex Analysis and Monotone Operator Theory in Hilbert Spaces
H. H. Bauschke and P. L. Combettes · 2011
Later among the works it cites.
Sparse manifold clustering and embedding
E. Elhamifar and R. Vidal · 2011
Later among the works it cites.
Robust recovery of multiple subspaces by geometric l p {{l_{p}}} minimization
G. Lerman and T. Zhang · 2011
Later among the works it cites.
Unsupervised learning of human expressions, gestures, and actions
S. O’Hara, Y. M. Lui, and B. A. Draper · 2011
Later among the works it cites.
Statistical computations on Grassmann and Stiefel manifolds for image and video-based recognition
P. Turaga, A. Veeraraghavan, A. Srivastava, and R. Chellappa · 2011
Later among the works it cites.
Subspace clustering
R. Vidal · 2011
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Robust statistical estimation and segmentation of multiple subspaces
A. Y. Yang, S. R. Rao, and Y. Ma · 2006
Cited alongside, same era.
Manifold clustering via energy minimization
Q. Guo, H. Li, W. Chen, I-F. Shen, and J. Parkkinen · 2007
Cited alongside, same era.
Segmentation of multivariate mixed data via lossy coding and compression
Y. Ma, H. Derksen, W. Hong, and J. Wright · 2007
Cited alongside, same era.
Segmenting images on the tensor manifold
Y. Rathi, A. Tannenbaum, and O. V. Michailovich · 2007
Cited alongside, same era.
Clustering and dimensionality reduction on Riemannian manifolds
A. Goh and R. Vidal · 2008
Cited alongside, same era.
Estimation of subspace arrangements with applications in modeling and segmenting mixed data
Y. Ma, A. Y. Yang, H. Derksen, and R. Fossum · 2008
Cited alongside, same era.
Spectral clustering on multiple manifolds
Y. Wang, Y. Jiang, Y. Wu, and Z.-H. Zhou · 2011
Later among the works it cites.
Robust multiple manifolds structure learning
D. Gong, X. Zhao, and G. Medioni · 2012
Later among the works it cites.
Advances in matrix manifolds for computer vision
Y. M. Lui · 2012
Later among the works it cites.
A geometric analysis of subspace clustering with outliers
M. Soltanolkotabi and E. J. Candès · 2012
Later among the works it cites.
Hybrid linear modeling via local best-fit flats
T. Zhang, A. Szlam, Y. Wang, and G. Lerman · 2012
Later among the works it cites.
A review of subspace segmentation: Problem, nonlinear approximations, and applications to motion segmentation
A. Aldroubi · 2013
Later among the works it cites.
Spectral clustering based on local PCA
E. Arias-Castro, G. Lerman, and T. Zhang · 2013
Later among the works it cites.
Website, 2013
E. J. Canales-Rodriguez, L. Melie-Garcia, Y. Iturria-Medina, and Y. Aleman-Gomez · 2013
Later among the works it cites.
Sparse subspace clustering: Algorithm, theory, and applications
E. Elhamifar and R. Vidal · 2013
Later among the works it cites.
Dictionary learning and sparse coding on Grassmann manifolds: An extrinsic solution
M. T. Harandi, C. Sanderson, C. Shen, and B. C. Lovell · 2013
Later among the works it cites.
On a nonlinear generalization of sparse coding and dictionary learning
J. Ho, Y. Xie, and B. C. Vemuri · 2013
Later among the works it cites.
Robust recovery of subspace structures by low-rank representation
G. Liu, Z. Lin, S. Yan, J. Sun, Y. Yu, and Y. Ma · 2013
Later among the works it cites.
Website, 2013
N. Nikvand · 2013
Later among the works it cites.
Fast subspace search via grassmannian based hashing
X. Wang, S. Atev, J. Wright, and G. Lerman · 2013
Later among the works it cites.
Segmentation of high angular resolution diffusion MRI using sparse Riemannian manifold clustering
H. E. Cetingul, M. J. Wright, P. M. Thompson, and R. Vidal · 2014
Closest in time.
ℓ p \ell_{p} -recovery of the most significant subspace among multiple subspaces with outliers
G. Lerman and T. Zhang · 2014
Closest in time.
A new approach to two-view motion segmentation using global dimension minimization
B. Poling and G. Lerman · 2014
Closest in time.
Website, 2014
T. Randen · 2014
Closest in time.
Robust subspace clustering
M. Soltanolkotabi, E. Elhamifar, and E. J. Candès · 2014
Closest in time.