-
1
-
-
33749245328
-
Higher order learning with graphs
-
S. Agarwal, K. Branson, and S. Belongie. Higher order learning with graphs. In Proceedings of the 23rd International Conference on Machine Learning (ICML'06), volume 148, pages 17-24, 2006.
-
(2006)
Proceedings of the 23rd International Conference On Machine Learning (ICML'06)
, vol.148
, pp. 17-24
-
-
Agarwal, S.1
Branson, K.2
Belongie, S.3
-
2
-
-
24644523726
-
Beyond pairwise clustering
-
S. Agarwal, J. Lim, L. Zelnik-Manor, P. Perona, D. Kriegman, and S. Belongie. Beyond pairwise clustering. In Proceedings of the 2005 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (CVPR'05), volume 2, pages 838-845, 2005.
-
(2005)
Proceedings of the 2005 IEEE Computer Society Conference On Computer Vision and Pattern Recognition (CVPR'05)
, vol.2
, pp. 838-845
-
-
Agarwal, S.1
Lim, J.2
Zelnik-Manor, L.3
Perona, P.4
Kriegman, D.5
Belongie, S.6
-
3
-
-
79951912473
-
Clustering based on pairwise distances when the data is of mixed dimensions
-
MR2815843
-
E. Arias-Castro. Clustering based on pairwise distances when the data is of mixed dimensions. IEEE Trans. Inform. Theory, 57(3):1692-1706, 2011. MR2815843
-
(2011)
IEEE Trans. Inform. Theory
, vol.57
, Issue.3
, pp. 1692-1706
-
-
Arias-Castro, E.1
-
4
-
-
27144475603
-
Connect the dots: How many random points can a regular curve pass through?
-
MR2156550
-
E. Arias-Castro, D. L. Donoho, X. Huo, and C. A. Tovey. Connect the dots: how many random points can a regular curve pass through? Adv. in Appl. Probab., 37(3):571-603, 2005. MR2156550
-
(2005)
Adv. In Appl. Probab
, vol.37
, Issue.3
, pp. 571-603
-
-
Arias-Castro, E.1
Donoho, D.L.2
Huo, X.3
Tovey, C.A.4
-
5
-
-
70450265713
-
Networks of polynomial pieces with application to the analysis of point clouds and images
-
MR2565828
-
E. Arias-Castro, B. Efros, and O. Levi. Networks of polynomial pieces with application to the analysis of point clouds and images. J. Approx. Theory, 162(1):94-130, 2010. MR2565828
-
(2010)
J. Approx. Theory
, vol.162
, Issue.1
, pp. 94-130
-
-
Arias-Castro, E.1
Efros, B.2
Levi, O.3
-
7
-
-
0042378381
-
Laplacian eigenmaps for dimensionality reduction and data representation
-
M. Belkin and P. Niyogi. Laplacian eigenmaps for dimensionality reduction and data representation. Neural Computation, 15(16):1373-1396, 2003.
-
(2003)
Neural Computation
, vol.15
, Issue.16
, pp. 1373-1396
-
-
Belkin, M.1
Niyogi, P.2
-
9
-
-
0031571391
-
Connectivity of the mutual k-nearest-neighbor graph in clustering and outlier detection
-
MR1467706
-
M. R. Brito, E. L. Chávez, A. J. Quiroz, and J. E. Yukich. Connectivity of the mutual k-nearest-neighbor graph in clustering and outlier detection. Statist. Probab. Lett., 35(1):33-42, 1997. MR1467706
-
(1997)
Statist. Probab. Lett
, vol.35
, Issue.1
, pp. 33-42
-
-
Brito, M.R.1
Chávez, E.L.2
Quiroz, A.J.3
Yukich, J.E.4
-
10
-
-
77953199244
-
Kernel spectral curvature clustering (KSCC)
-
Kyoto, Japan
-
G. Chen, S. Atev, and G. Lerman. Kernel spectral curvature clustering (KSCC). In Dynamical Vision Workshop), IEEE 12th International Conference on Computer Vision, pages 765-772, Kyoto, Japan, 2009.
-
(2009)
Dynamical Vision Workshop, IEEE 12th International Conference On Computer Vision
, pp. 765-772
-
-
Chen, G.1
Atev, S.2
Lerman, G.3
-
11
-
-
70349452039
-
Foundations of a multi-way spectral clustering framework for hybrid linear modeling
-
MR2534403
-
G. Chen and G. Lerman. Foundations of a multi-way spectral clustering framework for hybrid linear modeling. Found. Comput. Math., 9(5):517-558, 2009. MR2534403
-
(2009)
Found. Comput. Math
, vol.9
, Issue.5
, pp. 517-558
-
-
Chen, G.1
Lerman, G.2
-
12
-
-
58149494138
-
Spectral curvature clustering (SCC)
-
G. Chen and G. Lerman. Spectral curvature clustering (SCC). Int. J. Comput. Vision, 81(3):317-330, 2009.
-
(2009)
Int. J. Comput. Vision
, vol.81
, Issue.3
, pp. 317-330
-
-
Chen, G.1
Lerman, G.2
-
13
-
-
84859836183
-
Higher order spectral clustering (hosc) algorithm
-
Current version available at
-
G. Chen, G. Lerman, and E. Arias-Castro. Higher order spectral clustering (hosc) algorithm. Matlab code. Current version available at http://www.math.duke.edu/~glchen/hosc.html.
-
Matlab Code
-
-
Chen, G.1
Lerman, G.2
Arias-Castro, E.3
-
14
-
-
84859868319
-
-
of CBMS Regional Conference Series in Mathematics. Published for the Conference Board of the Mathematical Sciences, Washington, DC, MR1421568
-
F. R. K. Chung. Spectral graph theory, volume 92 of CBMS Regional Conference Series in Mathematics. Published for the Conference Board of the Mathematical Sciences, Washington, DC, 1997. MR1421568
-
(1997)
Spectral Graph Theory
, vol.92
-
-
Chung, F.R.K.1
-
15
-
-
0003462314
-
Lanczos Algorithms for Large Symmetric Eigenvalue Computations
-
Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA, MR1948689
-
J. K. Cullum and R. A. Willoughby. Lanczos Algorithms for Large Symmetric Eigenvalue Computations, Vol. 1: Theory. Classics in Applied Mathematics. Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA, 2002. MR1948689
-
(2002)
Theory. Classics In Applied Mathematics
, vol.1
-
-
Cullum, J.K.1
Willoughby, R.A.2
-
16
-
-
0000476095
-
Detection of abnormal behavior via nonparametric estimation of the support
-
MR0579432
-
L. Devroye and G. L. Wise. Detection of abnormal behavior via nonparametric estimation of the support. SIAM J. Appl. Math., 38(3):480-488, 1980. MR0579432
-
(1980)
SIAM J. Appl. Math
, vol.38
, Issue.3
, pp. 480-488
-
-
Devroye, L.1
Wise, G.L.2
-
17
-
-
17444432924
-
Image manifolds which are isometric to euclidean space
-
MR2208906
-
D. L. Donoho and C. Grimes. Image manifolds which are isometric to euclidean space. J. Math. Imaging Vis., 23(1):5-24, 2005. MR2208906
-
(2005)
J. Math. Imaging Vis
, vol.23
, Issue.1
, pp. 5-24
-
-
Donoho, D.L.1
Grimes, C.2
-
18
-
-
0000765066
-
Metric entropy of some classes of sets with differentiable boundaries
-
MR0358168
-
R. M. Dudley. Metric entropy of some classes of sets with differentiable boundaries. J. Approx. Theory, 10:227-236, 1974. MR0358168
-
(1974)
J. Approx. Theory
, vol.10
, pp. 227-236
-
-
Dudley, R.M.1
-
20
-
-
84968469617
-
Curvature measures
-
MR0110078
-
H. Federer. Curvature measures. Trans. Amer. Math. Soc., 93:418-491, 1959. MR0110078
-
(1959)
Trans. Amer. Math. Soc
, vol.93
, pp. 418-491
-
-
Federer, H.1
-
21
-
-
0027420016
-
Contour integration by the human visual system: Evidence for a local 'association field'
-
D. J. Field, A. Hayes, and R. F. Hess. Contour integration by the human visual system: Evidence for a local 'association field'. Vision Research, 33(2):173-193, 1993.
-
(1993)
Vision Research
, vol.33
, Issue.2
, pp. 173-193
-
-
Field, D.J.1
Hayes, A.2
Hess, R.F.3
-
22
-
-
34548025132
-
A survey of kernel and spectral methods for clustering
-
M. Filippone, F. Camastra, F. Masulli, and S. Rovetta. A survey of kernel and spectral methods for clustering. Pattern Recogn., 41(1):176-190, 2008.
-
(2008)
Pattern Recogn
, vol.41
, Issue.1
, pp. 176-190
-
-
Filippone, M.1
Camastra, F.2
Masulli, F.3
Rovetta, S.4
-
23
-
-
33749645473
-
Similarity based vehicle trajectory clustering and anomaly detection
-
Z. Fu, W. Hu, and T. Tan. Similarity based vehicle trajectory clustering and anomaly detection. In Proceedings of the IEEE International Conference on Image Processing (ICIP'05)., volume 2, pages 602-605, 2005.
-
(2005)
Proceedings of the IEEE International Conference On Image Processing (ICIP'05)
, vol.2
, pp. 602-605
-
-
Fu, Z.1
Hu, W.2
Tan, T.3
-
24
-
-
32344452534
-
Dimension induced clustering
-
New York, NY, USA
-
A. Gionis, A. Hinneburg, S. Papadimitriou, and P. Tsaparas. Dimension induced clustering. In Proceedings of the eleventh ACM SIGKDD International Conference on Knowledge Discovery in Data Mining (KDD'05), pages 51-60, New York, NY, USA, 2005.
-
(2005)
Proceedings of the Eleventh ACM SIGKDD International Conference On Knowledge Discovery In Data Mining (KDD'05)
, pp. 51-60
-
-
Gionis, A.1
Hinneburg, A.2
Papadimitriou, S.3
Tsaparas, P.4
-
25
-
-
78049255234
-
Multimanifold semi-supervised learning
-
A. Goldberg, X. Zhu, A. Singh, Z. Xu, and R. Nowak. Multimanifold semi-supervised learning. In Twelfth International Conference on Artificial Intelligence and Statistics (AISTATS), 2009.
-
(2009)
Twelfth International Conference On Artificial Intelligence and Statistics (AISTATS)
-
-
Goldberg, A.1
Zhu, X.2
Singh, A.3
Xu, Z.4
Nowak, R.5
-
26
-
-
0004236492
-
-
Johns Hopkins Studies in the Mathematical Sciences. Johns Hopkins University Press, Baltimore, MD, third edition, MR1417720
-
G. H. Golub and C. F. Van Loan. Matrix Computations. Johns Hopkins Studies in the Mathematical Sciences. Johns Hopkins University Press, Baltimore, MD, third edition, 1996. MR1417720
-
(1996)
Matrix Computations
-
-
Golub, G.H.1
van Loan, C.F.2
-
28
-
-
40749093037
-
Measuring the strangeness of strange attractors
-
MR0732572
-
P. Grassberger and I. Procaccia. Measuring the strangeness of strange attractors. Physica D, 9:189-208, 1983. MR0732572
-
(1983)
Physica D
, vol.9
, pp. 189-208
-
-
Grassberger, P.1
Procaccia, I.2
-
29
-
-
47349111928
-
Manifold clustering via energy minimization
-
Washington, DC, USA, IEEE Computer Society
-
Q. Guo, H. Li, W. Chen, I.-F. Shen, and J. Parkkinen. Manifold clustering via energy minimization. In ICMLA'07: Proceedings of the Sixth International Conference on Machine Learning and Applications, pages 375-380, Washington, DC, USA, 2007. IEEE Computer Society.
-
(2007)
ICMLA'07: Proceedings of the Sixth International Conference On Machine Learning and Applications
, pp. 375-380
-
-
Guo, Q.1
Li, H.2
Chen, W.3
Shen, I.-F.4
Parkkinen, J.5
-
30
-
-
79951924106
-
Detecting mixed density and dimensionality in high dimensional point clouds
-
G. Haro, G. Randall, and G. Sapiro. Stratification learning: Detecting mixed density and dimensionality in high dimensional point clouds. Advances in Neural Information Processing Systems (NIPS), 19:553, 2007.
-
(2007)
Advances In Neural Information Processing Systems (NIPS)
, vol.19
, pp. 553
-
-
Haro, G.1
Randall, G.2
Sapiro, G.3
Learning, S.4
-
31
-
-
0042440805
-
Clustering appearances of objects under varying illumination conditions
-
J. Ho, M. Yang, J. Lim, K. Lee, and D. Kriegman. Clustering appearances of objects under varying illumination conditions. In Proceedings of International Conference on Computer Vision and Pattern Recognition (CVPR'03), volume 1, pages 11-18, 2003.
-
(2003)
Proceedings of International Conference On Computer Vision and Pattern Recognition (CVPR'03)
, vol.1
, pp. 11-18
-
-
Ho, J.1
Yang, M.2
Lim, J.3
Lee, K.4
Kriegman, D.5
-
32
-
-
33745422982
-
Fast multiscale clustering and manifold identification
-
D. Kushnir, M. Galun, and A. Brandt. Fast multiscale clustering and manifold identification. Pattern Recogn., 39(10):1876-1891, 2006.
-
(2006)
Pattern Recogn
, vol.39
, Issue.10
, pp. 1876-1891
-
-
Kushnir, D.1
Galun, M.2
Brandt, A.3
-
33
-
-
78649400333
-
Maximum likelihood estimation of intrinsic dimension
-
MIT Press, Cambridge, Massachusetts
-
E. Levina and P. Bickel. Maximum likelihood estimation of intrinsic dimension. In Advances in Neural Information Processing Systems (NIPS), volume 17, pages 777-784. MIT Press, Cambridge, Massachusetts, 2005.
-
(2005)
Advances In Neural Information Processing Systems (NIPS)
, vol.17
, pp. 777-784
-
-
Levina, E.1
Bickel, P.2
-
34
-
-
34548583274
-
A tutorial on spectral clustering
-
MR2409803
-
U. Luxburg. A tutorial on spectral clustering. Statistics and Computing, 17(4):395-416, 2007. MR2409803
-
(2007)
Statistics and Computing
, vol.17
, Issue.4
, pp. 395-416
-
-
Luxburg, U.1
-
35
-
-
50949096624
-
Estimation of subspace arrangements with applications in modeling and segmenting mixed data
-
MR2429444
-
Y. Ma, A. Y. Yang, H. Derksen, and R. Fossum. Estimation of subspace arrangements with applications in modeling and segmenting mixed data. SIAM Review, 50(3):413-458, 2008. MR2429444
-
(2008)
SIAM Review
, vol.50
, Issue.3
, pp. 413-458
-
-
Ma, Y.1
Yang, A.Y.2
Derksen, H.3
Fossum, R.4
-
36
-
-
38149070951
-
Cluster identification in nearest-neighbor graphs
-
Springer
-
M. Maier, M. Hein, and U. Von Luxburg. Cluster identification in nearest-neighbor graphs. In Algorithmic Learning Theory, pages 196-210. Springer, 2007.
-
(2007)
Algorithmic Learning Theory
, pp. 196-210
-
-
Maier, M.1
Hein, M.2
von Luxburg, U.3
-
37
-
-
62749193549
-
Optimal construction of k-nearest-neighbor graphs for identifying noisy clusters
-
MR2514706
-
M. Maier, M. Hein, and U. von Luxburg. Optimal construction of k-nearest-neighbor graphs for identifying noisy clusters. Theor. Comput. Sci., 410(19):1749-1764, 2009. MR2514706
-
(2009)
Theor. Comput. Sci
, vol.410
, Issue.19
, pp. 1749-1764
-
-
Maier, M.1
Hein, M.2
von Luxburg, U.3
-
38
-
-
21844497119
-
Asymptotical minimax recovery of sets with smooth boundaries
-
MR1332579
-
E. Mammen and A. B. Tsybakov. Asymptotical minimax recovery of sets with smooth boundaries. Ann. Statist., 23(2):502-524, 1995. MR1332579
-
(1995)
Ann. Statist
, vol.23
, Issue.2
, pp. 502-524
-
-
Mammen, E.1
Tsybakov, A.B.2
-
40
-
-
70350282973
-
On the relation between low density separation, spectral clustering and graph cuts
-
In B. Scholkopf, J. Platt, and T. Hoffman, editors, MIT Press, Cambridge, MA
-
H. Narayanan, M. Belkin, and P. Niyogi. On the relation between low density separation, spectral clustering and graph cuts. In B. Scholkopf, J. Platt, and T. Hoffman, editors, Advances in Neural Information Processing Systems (NIPS), volume 19. MIT Press, Cambridge, MA, 2007.
-
(2007)
Advances In Neural Information Processing Systems (NIPS)
, pp. 19
-
-
Narayanan, H.1
Belkin, M.2
Niyogi, P.3
-
41
-
-
35649003432
-
Seeing surfaces: The brain's vision of the world
-
H. Neumann, A. Yazdanbakhsh, and E. Mingolla. Seeing surfaces: The brain's vision of the world. Physics of Life Reviews, 4(3):189-222, 2007.
-
(2007)
Physics of Life Reviews
, vol.4
, Issue.3
, pp. 189-222
-
-
Neumann, H.1
Yazdanbakhsh, A.2
Mingolla, E.3
-
42
-
-
84899013108
-
On spectral clustering: Analysis and an algorithm
-
A. Y. Ng, M. I. Jordan, and Y. Weiss. On spectral clustering: Analysis and an algorithm. In Advances in Neural Information Processing Systems (NIPS), volume 14, pages 849-856, 2002.
-
(2002)
Advances In Neural Information Processing Systems (NIPS)
, vol.14
, pp. 849-856
-
-
Ng, A.Y.1
Jordan, M.I.2
Weiss, Y.3
-
43
-
-
40349102105
-
Finding the homology of submanifolds with high confidence from random samples
-
MR2383768
-
P. Niyogi, S. Smale, and S. Weinberger. Finding the homology of submanifolds with high confidence from random samples. Discrete Comput. Geom., 39(1):419-441, 2008. MR2383768
-
(2008)
Discrete Comput. Geom
, vol.39
, Issue.1
, pp. 419-441
-
-
Niyogi, P.1
Smale, S.2
Weinberger, S.3
-
44
-
-
79952743200
-
Operator norm convergence of spectral clustering on level sets
-
MR2783172
-
B. Pelletier and P. Pudlo. Operator norm convergence of spectral clustering on level sets. Journal of Machine Learning Research, 12:385-416, 2011. MR2783172
-
(2011)
Journal of Machine Learning Research
, vol.12
, pp. 385-416
-
-
Pelletier, B.1
Pudlo, P.2
-
45
-
-
0012535670
-
-
of Oxford Studies in Probability. Oxford University Press, Oxford, MR1986198
-
M. Penrose. Random Geometric Graphs, volume 5 of Oxford Studies in Probability. Oxford University Press, Oxford, 2003. MR1986198
-
(2003)
Random Geometric Graphs
, vol.5
-
-
Penrose, M.1
-
46
-
-
77951256374
-
Robust algebraic segmentation of mixed rigid-body and planar motions from two views
-
MR2719048
-
S. Rao, A. Yang, S. Sastry, and Y. Ma. Robust algebraic segmentation of mixed rigid-body and planar motions from two views. International Journal of Computer Vision, 88(3):425-446, 2010. MR2719048
-
(2010)
International Journal of Computer Vision
, vol.88
, Issue.3
, pp. 425-446
-
-
Rao, S.1
Yang, A.2
Sastry, S.3
Ma, Y.4
-
47
-
-
0034704222
-
Nonlinear dimensionality reduction by locally linear embedding
-
S. Roweis and L. Saul. Nonlinear dimensionality reduction by locally linear embedding. Science, 290(5500):2323-2326, 2000.
-
(2000)
Science
, vol.290
, Issue.5500
, pp. 2323-2326
-
-
Roweis, S.1
Saul, L.2
-
48
-
-
33745844738
-
Multi-way clustering using supersymmetric non-negative tensor factorization
-
A. Shashua, R. Zass, and T. Hazan. Multi-way clustering using supersymmetric non-negative tensor factorization. In Proceedings of the European Conference on Computer Vision (ECCV'06), volume 4, pages 595-608, 2006.
-
(2006)
Proceedings of the European Conference On Computer Vision (ECCV'06)
, vol.4
, pp. 595-608
-
-
Shashua, A.1
Zass, R.2
Hazan, T.3
-
51
-
-
0034704229
-
A global geometric framework for nonlinear dimensionality reduction
-
J. B. Tenenbaum, V. de Silva, and J. C. Langford. A global geometric framework for nonlinear dimensionality reduction. Science, 290(5500):2319-2323, 2000.
-
(2000)
Science
, vol.290
, Issue.5500
, pp. 2319-2323
-
-
Tenenbaum, J.B.1
de Silva, V.2
Langford, J.C.3
-
52
-
-
0035242792
-
Detection of non-random patterns in cosmological gravitational clustering
-
R. Valdarnini. Detection of non-random patterns in cosmological gravitational clustering. Astronomy & Astrophysics, 366:376-386, 2001.
-
(2001)
Astronomy & Astrophysics
, vol.366
, pp. 376-386
-
-
Valdarnini, R.1
-
53
-
-
33750918501
-
A unified algebraic approach to 2-D and 3-D motion segmentation and estimation
-
MR2283615
-
R. Vidal and Y. Ma. A unified algebraic approach to 2-D and 3-D motion segmentation and estimation. Journal of Mathematical Imaging and Vision, 25(3):403-421, 2006. MR2283615
-
(2006)
Journal of Mathematical Imaging and Vision
, vol.25
, Issue.3
, pp. 403-421
-
-
Vidal, R.1
Ma, Y.2
-
54
-
-
51049104834
-
Consistency of spectral clustering
-
MR2396807
-
U. von Luxburg, M. Belkin, and O. Bousquet. Consistency of spectral clustering. Ann. Statist., 36(2):555-586, 2008. MR2396807
-
(2008)
Ann. Statist
, vol.36
, Issue.2
, pp. 555-586
-
-
von Luxburg, U.1
Belkin, M.2
Bousquet, O.3
-
55
-
-
0000045032
-
On the volume of tubes
-
MR1507388
-
H. Weyl. On the volume of tubes. Amer. J. Math., 61(2):461-472, 1939. MR1507388
-
(1939)
Amer. J. Math
, vol.61
, Issue.2
, pp. 461-472
-
-
Weyl, H.1
|