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Volumn 105, Issue 491, 2010, Pages 1241-1255

Spectral connectivity analysis

Author keywords

Diffusion maps; Graph Laplacian; Kernels; Manifold learning; Smoothing; Spectral clustering

Indexed keywords


EID: 78649416917     PISSN: 01621459     EISSN: None     Source Type: Journal    
DOI: 10.1198/jasa.2010.tm09754     Document Type: Article
Times cited : (18)

References (51)
  • 2
    • 34547706430 scopus 로고    scopus 로고
    • Fast learning rates for plug-in classifiers
    • 1250
    • Audibert, J.-Y., and Tsybakov, A. B. (2007), "Fast Learning Rates for Plug-in Classifiers," The Annals of Statistics, 35 (2), 608-633. [1250]
    • (2007) The Annals of Statistics , vol.35 , Issue.2 , pp. 608-633
    • Audibert, J.-Y.1    Tsybakov, A.B.2
  • 3
    • 0042378381 scopus 로고    scopus 로고
    • Laplacian eigenmaps for dimensionality reduction and data representation
    • 1241,1243
    • Belkin, M., and Niyogi, P. (2003), "Laplacian Eigenmaps for Dimensionality Reduction and Data Representation," Neural Computation, 6 (15), 1373- 1396. [1241,1243]
    • (2003) Neural Computation , vol.6 , Issue.15 , pp. 1373-1396
    • Belkin, M.1    Niyogi, P.2
  • 4
    • 3142725535 scopus 로고    scopus 로고
    • Semi-supervised learning on riemannian manifolds
    • 1241,1253
    • -, (2005a), "Semi-Supervised Learning on Riemannian Manifolds," Machine Learning, 56, 209-239. [1241,1253]
    • (2005) Machine Learning , vol.56 , pp. 209-239
  • 5
    • 26944439046 scopus 로고    scopus 로고
    • Towards a theoretical foundation for laplacian-based manifold methods
    • New York:Springer,1241,1244
    • -, (2005b), "Towards a Theoretical Foundation for Laplacian-Based Manifold Methods," in Proceedings of the Conference on Learning Theory, Vol. 3559, New York: Springer, pp. 486-500. [1241,1244]
    • (2005) Proceedings of the Conference on Learning Theory , vol.3559 , pp. 486-500
  • 8
    • 78649413215 scopus 로고    scopus 로고
    • High-dimensional density estimation via SCA: An example in the modeling of hurricane tracks
    • to appear
    • Buchman, S. M., Lee, A. B., and Schafer, C. M. (2010), "High-Dimensional Density Estimation via SCA: An Example in the Modeling of Hurricane Tracks," Statistical Methodology, to appear. [1253,1254]
    • (2010) Statistical Methodology , pp. 1253-1254
    • Buchman, S.M.1    Lee, A.B.2    Schafer, C.M.3
  • 13
    • 19644366699 scopus 로고    scopus 로고
    • Geometric diffusions as a tool for harmonics analysis and structure definition of data: Multiscale methods
    • 1244
    • -, (2005b), "Geometric Diffusions as a Tool for Harmonics Analysis and Structure Definition of Data: Multiscale Methods," Proceedings of the National Academy of Sciences, 102 (21), 7432-7437. [1244]
    • (2005) Proceedings of the National Academy of Sciences , vol.102 , Issue.21 , pp. 7432-7437
  • 15
    • 0037948870 scopus 로고    scopus 로고
    • Hessian eigenmaps: New locally linear embedding techniques for high-dimensional data
    • 1241
    • Donoho, D., and Grimes, C. (2003), "Hessian Eigenmaps: New Locally Linear Embedding Techniques for High-Dimensional Data," Proceedings of the National Academy of Sciences, 100 (10), 5591-5596. [1241]
    • (2003) Proceedings of the National Academy of Sciences , vol.100 , Issue.10 , pp. 5591-5596
    • Donoho, D.1    Grimes, C.2
  • 16
    • 3042869574 scopus 로고
    • Local linear regression smoothers and their minimax efficiencies
    • 1246
    • Fan, J. (1993), "Local Linear Regression Smoothers and Their Minimax Efficiencies," The Annals of Statistics, 21, 196-216. [1246]
    • (1993) The Annals of Statistics , vol.21 , pp. 196-216
    • Fan, J.1
  • 17
    • 33748869142 scopus 로고    scopus 로고
    • A novel way of computing similarities between nodes of a graph, with application to collaborative recommendation
    • Los Alamitos, CA: IEEE Computer Society,1244
    • Fouss, F., Pirotte, A., and Saerens, M. (2005), "A Novel Way of Computing Similarities Between Nodes of a Graph, With Application to Collaborative Recommendation," in Proceedings of the 2005 IEEE/WIC/ACM International Joint Conference on Web Intelligence, Los Alamitos, CA: IEEE Computer Society, pp. 550-556. [1244]
    • (2005) Proceedings of the 2005 IEEE/WIC/ACM International Joint Conference on Web Intelligence , pp. 550-556
    • Fouss, F.1    Pirotte, A.2    Saerens, M.3
  • 19
    • 34547263725 scopus 로고    scopus 로고
    • Empirical graph laplacian approximation of laplace-beltrami operators: Large sample results
    • IMS Lecture Notes, Beachwood, OH: IMS,1241-1244 ,1250
    • Giné, E., and Koltchinskii, V. (2006), "Empirical Graph Laplacian Approximation of Laplace-Beltrami Operators: Large Sample Results," in High Dimensional Probability: Proceedings of the Fourth International Conference. IMS Lecture Notes, Beachwood, OH: IMS, pp. 1-22. [1241,1244, 1250]
    • (2006) High Dimensional Probability: Proceedings of the Fourth International Conference , pp. 1-22
    • Giné, E.1    Koltchinskii, V.2
  • 20
    • 33750684023 scopus 로고    scopus 로고
    • Heat kernels on weighted manifolds and applications
    • 1245
    • Grigor'yan, A. (2006), "Heat Kernels on Weighted Manifolds and Applications," Contemporary Mathematics, 398, 93-191. [1245]
    • (2006) Contemporary Mathematics , vol.398 , pp. 93-191
    • Grigor'yan, A.1
  • 22
    • 33749598434 scopus 로고    scopus 로고
    • From graphs to manifolds-weak and strong pointwise consistency of graph laplacians
    • New York:Springer,1251
    • Hein, M., Audibert, J.-Y., and von Luxburg, U. (2005a), "From Graphs to Manifolds-Weak and Strong Pointwise Consistency of Graph Laplacians," in Proceedings of the Conference on Learning Theory, New York: Springer. [1251]
    • (2005) Proceedings of the Conference on Learning Theory
    • Hein, M.1    Audibert, J.-Y.2    Von Luxburg, U.3
  • 24
    • 0348139702 scopus 로고    scopus 로고
    • Dimension reduction by local principal component analysis
    • 1243
    • Kambhatla, N., and Leen, T. K. (1997), "Dimension Reduction by Local Principal Component Analysis," Neural Computation, 9, 1493-1516. [1243]
    • (1997) Neural Computation , vol.9 , pp. 1493-1516
    • Kambhatla, N.1    Leen, T.K.2
  • 25
    • 34248396061 scopus 로고    scopus 로고
    • On the rate of convergence of local averaging plug-in classification rules under a margin condition
    • 1250
    • Kohler, M., and Krzyzak, A. (2007), "On the Rate of Convergence of Local Averaging Plug-in Classification Rules Under a Margin Condition," IEEE Transactions on Information Theory, 53, 1735-1742. [1250]
    • (2007) IEEE Transactions on Information Theory , vol.53 , pp. 1735-1742
    • Kohler, M.1    Krzyzak, A.2
  • 28
    • 33746476985 scopus 로고    scopus 로고
    • Diffusion maps and coarse-graining: A unified framework for dimensionality reduction, graph partitioning, and data set parameterization
    • 1244,1251-1253
    • Lafon, S., and Lee, A. (2006), "Diffusion Maps and Coarse-Graining: A Unified Framework for Dimensionality Reduction, Graph Partitioning, and Data Set Parameterization," IEEE Transactions on Pattern Analysis and Machine Intelligence, 28, 1393-1403. [1244,1251-1253]
    • (2006) IEEE Transactions on Pattern Analysis and Machine Intelligence , vol.28 , pp. 1393-1403
    • Lafon, S.1    Lee, A.2
  • 29
    • 2442611856 scopus 로고    scopus 로고
    • Stability-based validation of clustering solutions
    • 1251
    • Lange, T., Roth, V., Braun, M. L., and Buhmann, J. M. (2004), "Stability-Based Validation of Clustering Solutions," Neural Computation, 16 (6), 1299- 1323. [1251]
    • (2004) Neural Computation , vol.16 , Issue.6 , pp. 1299-1323
    • Lange, T.1    Roth, V.2    Braun, M.L.3    Buhmann, J.M.4
  • 33
    • 0033234630 scopus 로고    scopus 로고
    • Smooth discrimination analysis
    • 1250
    • Mammen, E., and Tsybakov, A. B. (1999), "Smooth Discrimination Analysis," The Annals of Statistics, 27, 1808-1829. [1250]
    • (1999) The Annals of Statistics , vol.27 , pp. 1808-1829
    • Mammen, E.1    Tsybakov, A.B.2
  • 37
    • 0030779611 scopus 로고    scopus 로고
    • Sparse coding with an overcomplete basis set: A strategy employed by V1?
    • 1253
    • Olshausen, B. A., and Field, D. J. (1997), "Sparse Coding With an Overcomplete Basis Set: A Strategy Employed by V1?" Vision Research, 37, 3311- 3325. [1253]
    • (1997) Vision Research , vol.37 , pp. 3311-3325
    • Olshausen, B.A.1    Field, D.J.2
  • 40
    • 85014829465 scopus 로고    scopus 로고
    • Exploiting low-dimensional structure in astronomical spectra
    • 1242,1253
    • -, (2009b), "Exploiting Low-Dimensional Structure in Astronomical Spectra," Astrophysical Journal, 691, 32-42. [1242,1253]
    • (2009) Astrophysical Journal , vol.691 , pp. 32-42
  • 41
    • 0034704222 scopus 로고    scopus 로고
    • Nonlinear dimensionality reduction by annalsly linear embedding
    • 1241
    • Roweis, S., and Saul, L. (2000), "Nonlinear Dimensionality Reduction by Annalsly Linear Embedding," Science, 290, 2323-2326. [1241]
    • (2000) Science , vol.290 , pp. 2323-2326
    • Roweis, S.1    Saul, L.2
  • 42
    • 0347243182 scopus 로고    scopus 로고
    • Nonlinear component analysis as a kernel eigenvalue problem
    • 1243
    • Schölkopf, B., Smola, A., and Müller, K.-R. (1998), "Nonlinear Component Analysis as a Kernel Eigenvalue Problem," Neural Computation, 10 (5), 1299-1319. [1243]
    • (1998) Neural Computation , vol.10 , Issue.5 , pp. 1299-1319
    • Schölkopf, B.1    Smola, A.2    Müller, K.-R.3
  • 43
    • 73949117460 scopus 로고    scopus 로고
    • Data spectroscopy: Eigenspaces of convolution operators and clustering
    • 1251
    • Shi, T., Belkin, M., and Yu, B. (2009), "Data Spectroscopy: Eigenspaces of Convolution Operators and Clustering," The Annals of Statistics, 37 (6B), 3960-3984. [1251]
    • (2009) The Annals of Statistics , vol.37 , Issue.6 B , pp. 3960-3984
    • Shi, T.1    Belkin, M.2    Yu, B.3
  • 44
    • 33745397832 scopus 로고    scopus 로고
    • From graph to manifold laplacian: The convergence rate
    • 1241,1244,1250
    • Singer, A. (2006), "From Graph to Manifold Laplacian: The Convergence Rate," Applied and Computational Harmonic Analysis, 21, 128-134. [1241, 1244,1250]
    • (2006) Applied and Computational Harmonic Analysis , vol.21 , pp. 128-134
    • Singer, A.1
  • 45
  • 46
    • 0002531708 scopus 로고
    • Perturbation theory for the singular value decomposition
    • New York:Elsevier Science,1246
    • Stewart, G. (1991), Perturbation Theory for the Singular Value Decomposition, SVD and Signal Processing, Vol. II, New York: Elsevier Science. [1246]
    • (1991) SVD and Signal Processing , vol.2
    • Stewart, G.1
  • 47
    • 0034704229 scopus 로고    scopus 로고
    • A global geometric framework for nonlinear dimensionality reduction
    • 1247
    • Tenenbaum, J. B., de Silva, V., and Langford, J. C. (2000), "A Global Geometric Framework for Nonlinear Dimensionality Reduction," Science, 290 (5500), 2319-2323. [1247]
    • (2000) Science , vol.290 , Issue.5500 , pp. 2319-2323
    • Tenenbaum, J.B.1    De Silva, V.2    Langford, J.C.3
  • 48
    • 34548583274 scopus 로고    scopus 로고
    • A tutorial on spectral clustering
    • 1241,1250,1253
    • von Luxburg, U. (2007), "A Tutorial on Spectral Clustering," Statistics and Computing, 17 (4), 395-416. [1241,1250,1253]
    • (2007) Statistics and Computing , vol.17 , Issue.4 , pp. 395-416
    • Von Luxburg, U.1
  • 51
    • 84864041215 scopus 로고    scopus 로고
    • On the convergence of eigenspaces in kernel principal component analysis
    • Cambridge, MA:MIT Press,1250
    • Zwald, L., and Blanchard, G. (2006), "On the Convergence of Eigenspaces in Kernel Principal Component Analysis," in Advances in Neural Information Processing Systems, Vol. 18, Cambridge, MA: MIT Press, pp. 1649-1656. [1250]
    • (2006) Advances in Neural Information Processing Systems , vol.18 , pp. 1649-1656
    • Zwald, L.1    Blanchard, G.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.