Fetching the paper…
Reading the bibliography…
This paper considers the problem of clustering a collection of unlabeled data points assumed to lie near a union of lower-dimensional planes.
Elhamifar, E.E. andVidal, R.R. (2010). Clustering disjoint subspaces via sparse representation. In IEEE International Conference on Acoustics Speech and Signal Processing (ICASSP), 2010
1929
Earlier work this paper cites.
Milman, Vitali D.V. D. andSchechtman, GideonG. (1986). Asymptotic Theory of Finite-Dimensional Normed Spaces. Lecture Notes in Math. 1200. Springer, Berlin
1986
Earlier work this paper cites.
Gluskin, E.E. (1988). Extremal properties of rectangular parallelipipeds and their applications to the geometry of Banach spaces. Mat. Sb. (N.S.) 136 85–95
1988
Earlier work this paper cites.
Ball, KeithK. andPajor, AlainA. (1990). Convex bodies with few faces. Proc. Amer. Math. Soc. 110 225–231
1990
Earlier work this paper cites.
Boult, T. E.T. E. andGottesfeld Brown, L.L. (1991). Factorization-based segmentation of motions. In Proceedings of the IEEE Workshop on Visual Motion, 1991
1991
Earlier work this paper cites.
Simard, P. Y.P. Y., LeCun, Y.Y. andDenker, J.J. (1993). Efficient pattern recognition using a new transformation distance. In Advances in Neural Information Processing Systems
1993
Earlier work this paper cites.
Costeira, J.J. andKanade, T.T. (1998). A multibody factorization method for independently moving objects. Int. J. Comput. Vis. 29 3
1998
Earlier work this paper cites.
Gear, C. W.C. W. (1998). Multibody grouping from motion images. Int. J. Comput. Vis. 29 133–150
1998
Earlier work this paper cites.
Hastie, T.T. andSimard, P. Y.P. Y. (1998). Metrics and models for handwritten character recognition. Statist. Sci. 13 54–65
1998
Earlier work this paper cites.
Kanatani, K.K. (1998). Geometric information criterion for model selection. Int. Journal of Computer Vision 26 171–189
1998
Earlier work this paper cites.
Ichimura, N.N. (1999). Motion segmentation based on factorization method and discriminant criterion. In The Proceedings of the Seventh IEEE International Conference on Computer Vision, 1999
1999
Earlier work this paper cites.
Tipping, M.M. andBishop, C.C. (1999). Mixture of probabilistic principle component analyzers. Neural Comput. 11 443–482
1999
Earlier work this paper cites.
Bradley, P. S.P. S. andMangasarian, O. L.O. L. (2000). k k -plane clustering. J. Global Optim. 16 23–32
2000
Earlier work this paper cites.
Shi, J.J. andMalik, J.J. (2000). Normalized Cuts and Image Segmentation. IEEE Transactions on Pattern Analysis and Machine Intelligence 22 8
2000
Earlier work this paper cites.
Tseng, P.P. (2000). Nearest q q -flat to m m points. J. Optim. Theory Appl. 105 249–252
2000
Earlier work this paper cites.
Kanatani, K.K. (2001). Motion segmentation by subspace separation and model selection. In Eighth IEEE International Conference on Computer Vision, 2001. ICCV 2001. Proceedings
2001
Earlier work this paper cites.
Wu, Y.Y., Zhang, Z.Z., Huang, T. S.T. S. andLin, J. Y.J. Y. (2001). Multibody grouping via orthogonal subspace decomposition. In Proceedings of the 2001 IEEE Computer Society Conference on Computer Vision and Pattern Recognition, 2001. CVPR 2001
2001
Earlier work this paper cites.
Kanatani, K.K. andMatsunaga, C.C. (2002). Estimating the number of independent motions for multibody motion segmentation. In Asian Conference on Computer Vision
2002
Cited alongside, same era.
Ng, A.A., Jordan, M.M. andWeiss, Y.Y. (2002). On spectral clustering: Analysis and an algorithm. In Advances in Neural Information Processing Systems
2002
Cited alongside, same era.
Ho, J.J., Yang, M. H.M. H., Lim, J.J., Lee, K. C.K. C. andKriegman, D.D. (2003). Clustering appearances of objects under varying illumination conditions. In IEEE Computer Society Conference on Computer Vision and Pattern Recognition, 2003. Proceedings. 2003
2003
Cited alongside, same era.
Vidal, R.R., Soatto, S.S., Ma, Y.Y. andSastry, S.S. (2003). An algebraic geometric approach to the identification of a class of linear hybrid systems. In 42nd IEEE Conference on Decision and Control, 2003. Proceedings
2003
Cited alongside, same era.
Alonso-Gutiérrez, DavidD. (2008). On the isotropy constant of random convex sets. Proc. Amer. Math. Soc. 136 3293–3300
2008
Later among the works it cites.
Johnstone, Iain M.I. M. (2008). Multivariate analysis and Jacobi ensembles: Largest eigenvalue, Tracy–Widom limits and rates of convergence. Ann. Statist. 36 2638–2716
2008
Later among the works it cites.
Rao, S.S., Tron, R.R., Vidal, R.R. andMa, Y.Y. (2008). Motion segmentation via robust subspace separation in the presence of outlying, incomplete, or corrupted trajectories. In IEEE Conference on Computer Vision and Pattern Recognition, 2008. CVPR 2008
2008
Later among the works it cites.
Vidal, R.R., Tron, R.R. andHartley, R.R. (2008). Multiframe motion segmentation with missing data using PowerFactorization and GPCA. Int. J. Comput. Vis. 79 85–105
2008
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Agarwal, P.P. andMustafa, N.N. (2004). k k -means projective clustering. In Proceedings of the twenty-third ACM SIGMOD-SIGACT-SIGART symposium on Principles of database systems
2004
Cited alongside, same era.
Brandenberg, RenéR., Dattasharma, AbhiA., Gritzmann, PeterP. andLarman, DavidD. (2004). Isoradial bodies. Discrete Comput. Geom. 32 447–457
2004
Cited alongside, same era.
Sugaya, Y.Y. andKanatani, K.K. (2004). Geometric structure of degeneracy for multi-body motion segmentation. In Statistical Methods in Video Processing
2004
Cited alongside, same era.
Vidal, R.R., Ma, Y.Y. andSastry, S.S. (2005). Generalized Principle Component Analysis (GPCA). IEEE Transactions on Pattern Analysis and Machine Intelligence 27 1–15
2005
Cited alongside, same era.
Candès, Emmanuel J.E. J., Romberg, JustinJ. andTao, TerenceT. (2006). Robust uncertainty principles: Exact signal reconstruction from highly incomplete frequency information. IEEE Trans. Inform. Theory 52 489–509
2006
Cited alongside, same era.
Hong, WeiW., Wright, JohnJ., Huang, KunK. andMa, YiY. (2006). Multiscale hybrid linear models for lossy image representation. IEEE Trans. Image Process. 15 3655–3671
2006
Cited alongside, same era.
Lu, L.L. andVidal, R.R. (2006). Combined central and subspace clustering on computer vision applications. In Proceedings of the 23rd International Conference on Machine Learning
2006
Cited alongside, same era.
Yan, J.J. andPollefeys, M.M. (2006). A general framework for motion segmentation: Independent, articulated, rigid, non-rigid, degenerate and non-degenerate. In Computer Vision–ECCV 2006
2006
Cited alongside, same era.
Yang, A.A., Wright, J.J., Ma, Y.Y. andSastry, S.S. (2008). Unsupervised segmentation of natural images via lossy data compression. Computer Vision and Image Understanding 110 212–225
2008
Later among the works it cites.
Chen, G.G. andLerman, G.G. (2009). Spectral Curvature Clustering (SCC). Int. J. Comput. Vis. 81 317–330
2009
Later among the works it cites.
Elhamifar, E.E. andVidal, R.R. (2009). Sparse subspace clustering. In IEEE Conference on Computer Vision and Pattern Recognition, 2009. CVPR 2009
2009
Later among the works it cites.
Kriegel, H. P.H. P., Kröger, P.P. andZimek, A.A. (2009). Clustering high-dimensional data: A survey on subspace clustering, pattern-based clustering, and correlation clustering. ACM Transactions on Knowledge Discovery from Data (TKDD) 3 1–58
2009
Later among the works it cites.
Zhang, T.T., Szlam, A.A. andLerman, G.G. (2009). Median k k -flats for hybrid linear modeling with many outliers. In IEEE 12th International Conference on Computer Vision Workshops (ICCV Workshops), 2009
2009
Later among the works it cites.
Liu, G.G., Lin, Z.Z. andYu, Y.Y. (2010). Robust subspace segmentation by low-rank representation. In Proceedings of the 26th International Conference on Machine Learning (ICML)
2010
Later among the works it cites.
Favaro, P.P., Vidal, R.R. andRavichandran, A.A. (2011). A closed form solution to robust subspace estimation and clustering. In IEEE Conference on Computer Vision and Pattern Recognition (CVPR), 2011
2011
Closest in time.
Lerman, GiladG. andZhang, TengT. (2011). Robust recovery of multiple subspaces by geometric l p l_{p} minimization. Ann. Statist. 39 2686–2715
2011
Closest in time.
Vershynin, R.R. (2011). Lectures in geometric functional analysis. Unpublished manuscript. Available at http://www-personal.umich.edu/~romanv/papers/ GFA-book/GFA-book.pdf
2011
Closest in time.
Vidal, R.R. (2011). A tutorial on subspace clustering. IEEE Signal Processing Magazine 28 52–68
2011
Closest in time.
Candes, E. J.E. J., Elhamifar, E.E., Soltanolkotabi, M.M. andVidal, R.R. (2012). Subspace-sparse recovery in the presence of noise. Unpublished manuscript
2012
Closest in time.
Liu, G.G., Xu, H.H. andYan, S.S. (2012). Exact subspace segmentation and outlier detection by low-rank representation. In Int’l Conf. Artificial Intelligence and Statistics
2012
Closest in time.
Zhang, T.T., Szlam, A.A., Wang, Y.Y. andLerman, G.G. (2012). Hybrid linear modeling via local best-fit flats. Int. J. Comput. Vis
2012
Closest in time.