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Volumn 21, Issue 4, 2010, Pages 644-658

Simplifying mixture models through function approximation

Author keywords

Clustering; Mixture models; Support vector machine (SVM) testing

Indexed keywords

APPROXIMATION ERRORS; BAYESIAN FILTERING; BELIEF PROPAGATION; DECISION FUNCTIONS; DENSITY ESTIMATION; DISTANCE MEASURE; FINITE MIXTURE MODELS; FUNCTION APPROXIMATION; KERNEL DENSITY ESTIMATION; MIXTURE MODEL; MIXTURE MODELS; NUMBER OF COMPONENTS; ORIGINAL MODEL; SIMPLIFIED MODELS; SPEED-UPS; STATISTICAL LEARNING; UPPER BOUND;

EID: 77950857605     PISSN: 10459227     EISSN: None     Source Type: Journal    
DOI: 10.1109/TNN.2010.2040835     Document Type: Article
Times cited : (59)

References (45)
  • 1
    • 0030145852 scopus 로고    scopus 로고
    • Weighted Parzen windows for pattern classification
    • May
    • G. A. Babich and O. I. Camps, "Weighted Parzen windows for pattern classification," IEEE Trans. Pattern Anal. Mach. Intell., vol.18, no.5, pp. 567-570, May 1996.
    • (1996) IEEE Trans. Pattern Anal. Mach. Intell. , vol.18 , Issue.5 , pp. 567-570
    • Babich, G.A.1    Camps, O.I.2
  • 3
    • 84898957872 scopus 로고    scopus 로고
    • Improving the accuracy and speed of support vector machines
    • Cambridge, MA: MIT Press
    • C. J. C. Burges and B. Schölkopf, "Improving the accuracy and speed of support vector machines," in Advances in Neural Information Processing Systems 9. Cambridge, MA: MIT Press, 1996, pp. 375-381.
    • (1996) Advances in Neural Information Processing Systems , vol.9 , pp. 375-381
    • Burges, C.J.C.1    Schölkopf, B.2
  • 4
    • 0037331011 scopus 로고    scopus 로고
    • An algorithm for data-driven bandwidth selection
    • Feb.
    • D. Comaniciu, "An algorithm for data-driven bandwidth selection," IEEE Trans. Pattern Anal. Mach. Intell., vol.25, no.2, pp. 281-288, Feb. 2003.
    • (2003) IEEE Trans. Pattern Anal. Mach. Intell. , vol.25 , Issue.2 , pp. 281-288
    • Comaniciu, D.1
  • 5
    • 0033284856 scopus 로고    scopus 로고
    • Mean shift analysis and applications
    • D. Comaniciu and P. Meer, "Mean shift analysis and applications," in Proc. Int. Conf. Comput. Vis., 1999, vol.2, pp. 1197-1204.
    • (1999) Proc. Int. Conf. Comput. Vis. , vol.2 , pp. 1197-1204
    • Comaniciu, D.1    Meer, P.2
  • 6
    • 0036565814 scopus 로고    scopus 로고
    • Mean shift: A robust approach toward feature space analysis
    • May
    • D. Comaniciu and P. Meer, "Mean shift: A robust approach toward feature space analysis," IEEE Trans. Pattern Anal. Mach. Intell., vol.24, no.5, pp. 603-619, May 2002.
    • (2002) IEEE Trans. Pattern Anal. Mach. Intell. , vol.24 , Issue.5 , pp. 603-619
    • Comaniciu, D.1    Meer, P.2
  • 8
    • 0034857778 scopus 로고    scopus 로고
    • The variable bandwidth mean shift and data-driven scale selection
    • D. Comaniciu, V. Ramesh, and P. Meer, "The variable bandwidth mean shift and data-driven scale selection," in Proc. IEEE Int. Conf. Comput. Vis., 2001, vol.1, pp. 438-445.
    • (2001) Proc. IEEE Int. Conf. Comput. Vis. , vol.1 , pp. 438-445
    • Comaniciu, D.1    Ramesh, V.2    Meer, P.3
  • 9
    • 77956554104 scopus 로고    scopus 로고
    • Differential entropic clustering of multivariate Gaussians
    • Cambridge, MA: MIT Press
    • J. V. Davis and I. Dhillon, "Differential entropic clustering of multivariate Gaussians," in Advances in Neural Information Processing Systems 19. Cambridge, MA: MIT Press, 2007.
    • (2007) Advances in Neural Information Processing Systems , vol.19
    • Davis, J.V.1    Dhillon, I.2
  • 10
    • 2342460956 scopus 로고    scopus 로고
    • Video retrieval using spatio-temporal descriptors
    • Berkeley, CA
    • D. DeMenthon and D. Doermann, "Video retrieval using spatio-temporal descriptors," in Proc. 11th ACM Int. Conf. Multimedia, Berkeley, CA, 2003, pp. 508-517.
    • (2003) Proc. 11th ACM Int. Conf. Multimedia , pp. 508-517
    • Dementhon, D.1    Doermann, D.2
  • 11
    • 0002629270 scopus 로고
    • Maximum likelihood from incomplete data via the em algorithm
    • A. P. Dempster, N. M. Laird, and D. B. Rubin, "Maximum likelihood from incomplete data via the EM algorithm," J. R. Statist. Soc. B, vol.39, no.1, pp. 1-38, 1977.
    • (1977) J. R. Statist. Soc. B , vol.39 , Issue.1 , pp. 1-38
    • Dempster, A.P.1    Laird, N.M.2    Rubin, D.B.3
  • 12
    • 84952210128 scopus 로고
    • Fast implementations of nonparametric curve estimators
    • Mar.
    • J. Fan and J. S. Marron, "Fast implementations of nonparametric curve estimators," J. Comput. Graph. Statist., vol.3, no.1, pp. 35-56, Mar. 1994.
    • (1994) J. Comput. Graph. Statist. , vol.3 , Issue.1 , pp. 35-56
    • Fan, J.1    Marron, J.S.2
  • 13
    • 0016421071 scopus 로고
    • The estimation of the gradient of a density function, with applications in pattern recognition
    • Jan.
    • K. Fukunaga and L. D. Hostetler, "The estimation of the gradient of a density function, with applications in pattern recognition," IEEE Trans. Inf. Theory, vol.21, no.1, pp. 32-40, Jan. 1975.
    • (1975) IEEE Trans. Inf. Theory , vol.21 , Issue.1 , pp. 32-40
    • Fukunaga, K.1    Hostetler, L.D.2
  • 14
    • 0345414073 scopus 로고    scopus 로고
    • Mean shift based clustering in high dimensions, a texture classification example
    • B. Georgescu, I. Shimshoni, and P. Meer, "Mean shift based clustering in high dimensions, a texture classification example," in Proc. 9th IEEE Int. Conf. Comput. Vis., 2003, pp. 456-463.
    • (2003) Proc. 9th IEEE Int. Conf. Comput. Vis. , pp. 456-463
    • Georgescu, B.1    Shimshoni, I.2    Meer, P.3
  • 17
    • 0142039770 scopus 로고    scopus 로고
    • Probability density estimation from optimally condensed data samples
    • Oct.
    • M. Girolami and C. He, "Probability density estimation from optimally condensed data samples," IEEE Trans. Pattern Anal. Mach. Intell., vol.25, no.10, pp. 1253-1264, Oct. 2003.
    • (2003) IEEE Trans. Pattern Anal. Mach. Intell. , vol.25 , Issue.10 , pp. 1253-1264
    • Girolami, M.1    He, C.2
  • 19
    • 84898983549 scopus 로고    scopus 로고
    • Hierarchical clustering of a mixture model
    • L. K. Saul, Y. Weiss, and L. Bottou, Eds. Cambridge, MA: MIT Press
    • J. Goldberger and S. Roweis, "Hierarchical clustering of a mixture model," in Advances in Neural Information Processing Systems 17, L. K. Saul, Y. Weiss, and L. Bottou, Eds. Cambridge, MA: MIT Press, 2005, pp. 505-512.
    • (2005) Advances in Neural Information Processing Systems , vol.17 , pp. 505-512
    • Goldberger, J.1    Roweis, S.2
  • 20
    • 5044226887 scopus 로고    scopus 로고
    • Incremental density approximation and kernel-based Bayesian filtering for object tracking
    • B. Han, D. Comaniciu, Y. Zhu, and L. Davis, "Incremental density approximation and kernel-based Bayesian filtering for object tracking," in Proc. Int. Conf. Comput. Vis. Pattern Recognit., 2004, vol.1, pp. 638-644.
    • (2004) Proc. Int. Conf. Comput. Vis. Pattern Recognit. , vol.1 , pp. 638-644
    • Han, B.1    Comaniciu, D.2    Zhu, Y.3    Davis, L.4
  • 21
    • 0003097597 scopus 로고
    • Smoothing by weighted averaging of rounded points
    • W. Härdle and D. W. Scott, "Smoothing by weighted averaging of rounded points," Comput. Stat., vol.7, pp. 97-128, 1992.
    • (1992) Comput. Stat. , vol.7 , pp. 97-128
    • Härdle, W.1    Scott, D.W.2
  • 22
    • 84950426173 scopus 로고
    • Recent developments in nonparametric density estimation
    • A. J. Izenman, "Recent developments in nonparametric density estimation," J. Amer. Stat. Assoc., vol.86, no.413, pp. 205-224, 1991.
    • (1991) J. Amer. Stat. Assoc. , vol.86 , Issue.413 , pp. 205-224
    • Izenman, A.J.1
  • 23
    • 0028499745 scopus 로고
    • Fast Parzen density estimation using clustering based branch and bound
    • Sep.
    • B. Jeon and D. A. Landgrebe, "Fast Parzen density estimation using clustering based branch and bound," IEEE Trans. Pattern Anal. Mach. Intell., vol.16, no.9, pp. 950-954, Sep. 1994.
    • (1994) IEEE Trans. Pattern Anal. Mach. Intell. , vol.16 , Issue.9 , pp. 950-954
    • Jeon, B.1    Landgrebe, D.A.2
  • 24
    • 0033723743 scopus 로고    scopus 로고
    • A new method for the nonlinear transformation of means and covariances in filters and estimators
    • Aug.
    • S. Julier, J. Uhlmann, and H. F. Durrant-Whyte, "A new method for the nonlinear transformation of means and covariances in filters and estimators," IEEE Trans. Autom. Control, vol.45, no.3, pp. 477-482, Aug. 2002.
    • (2002) IEEE Trans. Autom. Control , vol.45 , Issue.3 , pp. 477-482
    • Julier, S.1    Uhlmann, J.2    Durrant-Whyte, H.F.3
  • 26
    • 0346750538 scopus 로고    scopus 로고
    • Texture-based approach for text detection in images using support vector machines and continuously adaptive mean shift algorithm
    • Dec.
    • K. I. Kim, K. Jung, and J. H. Kim, "Texture-based approach for text detection in images using support vector machines and continuously adaptive mean shift algorithm," IEEE Trans. Pattern Anal. Mach. Intell., vol.25, no.12, pp. 1631-1639, Dec. 2003.
    • (2003) IEEE Trans. Pattern Anal. Mach. Intell. , vol.25 , Issue.12 , pp. 1631-1639
    • Kim, K.I.1    Jung, K.2    Kim, J.H.3
  • 28
    • 0001366850 scopus 로고
    • Exact mean integrated squared error
    • J. S. Marron and M. P. Wand, "Exact mean integrated squared error," Ann. Stat., vol.20, no.2, pp. 712-736, 1992.
    • (1992) Ann. Stat. , vol.20 , Issue.2 , pp. 712-736
    • Marron, J.S.1    Wand, M.P.2
  • 31
    • 84899029127 scopus 로고    scopus 로고
    • Very fast EM-based mixture model clustering using multi resolution kd-trees
    • M. S. Kearns, S. A. Solla, and D. A. Cohn, Eds. San Mateo, CA: Morgan Kaufmann
    • A. W. Moore, "Very fast EM-based mixture model clustering using multiresolution kd-trees," in Advances in Neural Information Processing Systems 11, M. S. Kearns, S. A. Solla, and D. A. Cohn, Eds. San Mateo, CA: Morgan Kaufmann, 1998, pp. 543-549.
    • (1998) Advances in Neural Information Processing Systems , vol.11 , pp. 543-549
    • Moore, A.W.1
  • 32
    • 0001473437 scopus 로고
    • On estimation of a probability density function and mode
    • E. Parzen, "On estimation of a probability density function and mode," Ann. Math. Stat., vol.33, pp. 1065-1075, 1962.
    • (1962) Ann. Math. Stat. , vol.33 , pp. 1065-1075
    • Parzen, E.1
  • 33
    • 0024610919 scopus 로고
    • A tutorial on hidden Markov models and selected applications in speech recognition
    • Feb.
    • L. R. Rabiner, "A tutorial on hidden Markov models and selected applications in speech recognition," Proc. IEEE, vol.77, no.2, pp. 257-286, Feb. 1989.
    • (1989) Proc. IEEE , vol.77 , Issue.2 , pp. 257-286
    • Rabiner, L.R.1
  • 34
    • 0000795635 scopus 로고
    • Density estimation with confidence sets exemplified by super clusters and voids in the galaxies
    • K. Roeder, "Density estimation with confidence sets exemplified by superclusters and voids in the galaxies," J. Amer. Stat. Assoc., vol.85, no.411, pp. 617-624, 1990.
    • (1990) J. Amer. Stat. Assoc. , vol.85 , Issue.411 , pp. 617-624
    • Roeder, K.1
  • 37
    • 0000161262 scopus 로고
    • Kernel density estimation with binned data
    • D. W. Scott and S. J. Sheather, "Kernel density estimation with binned data," Commun. Stat. A-Theory Methods, vol.14, pp. 1353-1359, 1985.
    • (1985) Commun. Stat. A-Theory Methods , vol.14 , pp. 1353-1359
    • Scott, D.W.1    Sheather, S.J.2
  • 38
    • 84898946476 scopus 로고    scopus 로고
    • Distributed occlusion reasoning for tracking with nonparametric belief propagation
    • Cambridge, MA: MIT Press
    • E. B. Sudderth, A. T. Ihler, W. T. Freeman, and A. S. Willsky, "Distributed occlusion reasoning for tracking with nonparametric belief propagation," in Advances in Neural Information Processing Systems 17. Cambridge, MA: MIT Press, 2005, pp. 1369-1376.
    • (2005) Advances in Neural Information Processing Systems , vol.17 , pp. 1369-1376
    • Sudderth, E.B.1    Ihler, A.T.2    Freeman, W.T.3    Willsky, A.S.4
  • 40
    • 84899021258 scopus 로고    scopus 로고
    • Manifold Parzen windows
    • S. Becker, S. Thrun, and K. Obermayer, Eds. Cambridge, MA: MIT Press
    • P. Vincent and Y. Bengio, "Manifold Parzen windows," in Advances in Neural Information Processing Systems 15, S. Becker, S. Thrun, and K. Obermayer, Eds. Cambridge, MA: MIT Press, 2003, pp. 825-832.
    • (2003) Advances in Neural Information Processing Systems , vol.15 , pp. 825-832
    • Vincent, P.1    Bengio, Y.2
  • 41
    • 72049092043 scopus 로고    scopus 로고
    • Seeding the kernels in graphs: Toward multi-resolution community analysis
    • J. Zhang, K. Zhang, X. Xu, C. K. Tse, and M. Small, "Seeding the kernels in graphs: Toward multi-resolution community analysis," New J. Phys., vol.11, 2009, 113003.
    • (2009) New J. Phys. , vol.11 , pp. 113003
    • Zhang, J.1    Zhang, K.2    Xu, X.3    Tse, C.K.4    Small, M.5
  • 42
    • 59149093832 scopus 로고    scopus 로고
    • Density-weighted Nyström method for computing large kernel eigensystems
    • K. Zhang and J. T. Kwok, "Density-weighted Nyström method for computing large kernel eigensystems," Neural Comput., vol.21, no.1, pp. 121-146, 2009.
    • (2009) Neural Comput , vol.21 , Issue.1 , pp. 121-146
    • Zhang, K.1    Kwok, J.T.2
  • 43
    • 38149104058 scopus 로고    scopus 로고
    • Simplifying mixture models through function approximation
    • B. Schölkopf, J. Platt, and T. Hoffman, Eds. Cambridge, MA: MIT Press
    • K. Zhang and J. T. Kwok, "Simplifying mixture models through function approximation," in Advances in Neural Information Processing Systems 17, B. Schölkopf, J. Platt, and T. Hoffman, Eds. Cambridge, MA: MIT Press, 2007, pp. 1577-1584.
    • (2007) Advances in Neural Information Processing Systems , vol.17 , pp. 1577-1584
    • Zhang, K.1    Kwok, J.T.2
  • 44
    • 24644458753 scopus 로고    scopus 로고
    • Applying neighborhood consistency for fast clustering and kernel density estimation
    • K. Zhang, M. Tang, and J. T. Kwok, "Applying neighborhood consistency for fast clustering and kernel density estimation," in Proc. Int. Conf. Comput. Vis. Pattern Recognit., 2005, vol.2, pp. 1001-1007.
    • (2005) Proc. Int. Conf. Comput. Vis. Pattern Recognit. , vol.2 , pp. 1001-1007
    • Zhang, K.1    Tang, M.2    Kwok, J.T.3
  • 45
    • 13344249749 scopus 로고    scopus 로고
    • An information fusion framework for robust shape tracking
    • Jan.
    • X. S. Zhou, D. Comaniciu, and A. Gupta, "An information fusion framework for robust shape tracking," IEEE Trans. Pattern Anal. Mach. Intell., vol.27, no.1, pp. 115-129, Jan. 2005.
    • (2005) IEEE Trans. Pattern Anal. Mach. Intell. , vol.27 , Issue.1 , pp. 115-129
    • Zhou, X.S.1    Comaniciu, D.2    Gupta, A.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.