References
- R. Xu and D. Wunsch, Clustering, Wiley-IEEE Press, 2008.
- J. B. MacQueen, "Some methods for classification and analysis of multivariate observations," Proceedings of the 5th Berkeley Symposium on Mathematical Statistics and Probability, Berkeley, University of California Press, pp. 281-297, 1967.
- L. A. Zadeh, "Fuzzy sets," Information and Control vol. 8, no. 3, pp. 338-353, 1965. https://doi.org/10.1016/S0019-9958(65)90241-X
- E. H. Ruspini, "A new approach to clustering," Information and Control, vol. 16, pp. 22-32, 1969.
- J. C. Dunn, "A fuzzy relative of the ISODATA process and its use in detecting compact well separated clusters," Journal of Cybernetics, pp. 32-57, 1974
- J. C. Bezdek, Pattern Recognition with Fuzzy Objective Function Algorithms, Springer, 1981.
- H. Frigui and R. Krishnapuram, "Clustering by competitive agglomeration," Pattern Recognition, vol. 30, no. 7, pp. 1109-1119, 1997. https://doi.org/10.1016/S0031-3203(96)00140-9
- Gyeongyong Heo, Young Woon Woo, "Extensions of X-means with Efficient Learning the Number of Clusters ," Journal of the KIMICS, Vol. 12, No. 4, pp. 772-780, 2008
- G. Heo and P. Gader, "Learning the Number of Gaussian Components Using Hypothesis Test," Proceedings of the 2009 International Joint Conference on Neural Networks, pp. 1206-1212, 2009.
- A. P. Dempster, N. M. Laird, and D. B. Rubin, "Maximum Likelihood from Incomplete Data via the EM Algorithm," Journal of the Royal Statistical Society, Series B, vol. 39, no. 1, pp. 1-38, 1977.
- Z. Zhang, C. Chen, J. Sun, and K. L. Chan, "EM algorithms for Gaussian mixtures with split-and-merge operation," Pattern Recognition, vol. 36, no. 9, pp. 1973-1983, 2003. https://doi.org/10.1016/S0031-3203(03)00059-1
- Y. Li and L. Li, "A Novel Split and Merge EM Algorithm for Gaussian Mixture Model," Proceedings of the 5th International Conference on Natural Computation, pp. 479-483, 2009.
- R. N. Dave, "Characterization and detection of noise in clustering," Pattern Recognition Letters, vol. 12, no. 11, pp. 657-664, 1991. https://doi.org/10.1016/0167-8655(91)90002-4
- Y. Namkoong, G. Heo, and Y. W. Woo, "An Extension of Possibilistic Fuzzy C-Means with Regularization," Proceedings of the 2010 IEEE International Conference on Fuzzy Systems, pp. 696-701, 2010.
- A. Tikhonov, "On solving incorrectly posed problems and method of regularization," Dokl. Acad. Nauk USSR, vol. 151, pp. 501-504, 1963.
- G. Heo, P. Gader, and H. Frigui, "RKF-PCA: Robust Kernel Fuzzy PCA," Neural Networks, vol. 22, no. 5-6, pp. 642-650, 2009. https://doi.org/10.1016/j.neunet.2009.06.013
- C. F. Lin and S. D. Wang, "Fuzzy support vector machines," IEEE Transactions on Neural Networks, vol. 13, no. 2, pp. 464-471, 2002. https://doi.org/10.1109/72.991432
- P. J. Huber and E. M. Ronchetti, Robust Statistics, 2nd edition, Wiley, 2009.
- R. Krishnapuram and J. M. Keller, "A Possibilistic Approach to Clustering," IEEE Transactions on Fuzzy Systems vol. 1, no. 2, pp. 98-110, 1993. https://doi.org/10.1109/91.227387
- N. R. Pal, K. Pal, J. M. Keller and J. C. Bezdek, "A Possibilistic Fuzzy c-Means Clustering Algorithm," IEEE Transactions on Fuzzy Systems vol. 13, no. 4, pp. 517-530, 2005. https://doi.org/10.1109/TFUZZ.2004.840099
- Gyeongyong Heo, Sewoon Choe, Young Woon Woo, " Improvement of the PFCM(Possibilistic Fuzzy C-Means) Clustering Method," Journal of the KIMICS, Vol. 13, No. 1, pp. 177-185, 2009.
- B. Feil and J. Abonyi, "Geodesic Distance Based Fuzzy Clustering," Advances in Soft Computing, vol. 39/2007, pp. 50-59, 2007. https://doi.org/10.1007/978-3-540-70706-6_5
- F. Fouss, A. Pirotte, J. M. Renders, and M. Saerens, "Random-walk computation of similarities between nodes of a graph with application to collaborative recommendation," IEEE Transactions on Knowledge and Data Engineering, vol. 19, no. 3, pp. 355-369, 2007. https://doi.org/10.1109/TKDE.2007.46
- B. Scholkopf and A. J. Smola, Learning with Kernels: Support Vector Machines, Regularization, Optimization, and Beyond. MIT Press, Cambridge, MA, 2001.
- M. Girolami, "Mercer kernel-based clustering in feature space," IEEE Transactions on Neural Networks, vol. 13, no. 3, pp. 780-784, 2002. https://doi.org/10.1109/TNN.2002.1000150
- M. Filippone, F. Camastra, F. Masulli, and S. Rovetta, "A survey of kernel and spectral methods for clustering," Pattern Recognition, vol. 41, no. 1, pp. 176- 190, 2008. https://doi.org/10.1016/j.patcog.2007.05.018
- J. Shi and J. Malik, "Normalized cuts and image segmentation," IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 2, no. 8, pp. 888-905, 2000.
- U. von Luxburg, "A tutorial on spectral clustering," Statistics and Computing, vol. 17, no. 4, pp. 395-416, 2007. https://doi.org/10.1007/s11222-007-9033-z
- Gyeongyong Heo, Kwang-Baek Kim, Young Woon Woo, "Magnifying Block Diagonal Structure for Spectral Clustering ," Journal of Korea Multimedia Society, Vol. 11, No. 9, pp. 1302-1309, 2008
- I. S. Dhillon, Y. Guan, and B. Kulis, "A unified view of kernel k-means, spectral clustering and graph cuts," Department of Computer Science, University of Texas, Tech. Rep. TR-04-25, 2005.
- M. Garey, D. Johnson, and H. Witsenhausen, "The complexity of the generalized Lloyd-Max problem," IEEE Transactions on Information Theory, vol. 28, no. 2, pp. 255-256, 1982. https://doi.org/10.1109/TIT.1982.1056488
- J. He, M. Lan, C. L. Tan, S. Y. Sung, and H. B. Low, "Initialization of cluster refinement algorithms: A review and comparative study," Proceedings of the 2004 IEEE International Joint Conference on Neural Networks, pp. 297-302, 2004.
- A. Likas, N. Vlassis, and J. J. Verbeek, "The global k-means clustering algorithm," Pattern Recognition, vol. 36, pp. 451-461, 2003. https://doi.org/10.1016/S0031-3203(02)00060-2
- G. Heo and P. Gader, "An Extension of Global Fuzzy C-means Using Kernel Methods," Proceedings of the 2010 IEEE International Conference on Fuzzy Systems, pp. 690-695, 2010.
- X. L. Xie and G. Beni, "A validity measure for fuzzy clustering," IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 13, no. 8, pp. 841-847, 1991. https://doi.org/10.1109/34.85677
- M. Meila, "Comparing clusterings - an information based distance," Journal of Multivariate Analysis, vol. 98, no. 5, pp. 873-895, 2007. https://doi.org/10.1016/j.jmva.2006.11.013
- D. Pascual, F. Pla, and J. S. Sanchez, "Cluster validation using information stability measures," Pattern Recognition Letters, vol. 31, pp. 454-461, 2010. https://doi.org/10.1016/j.patrec.2009.07.009
- Q. Deng, Y. Luo, and J. Ge, "Dual threshold based unsupervised face image clustering," Proceedings of the 2nd International Conference on Industrial Mechatronics and Automation, pp. 436-439, 2010.
- D. Jiang, C. Tang, A. Zhang, "Cluster analysis for gene expression data: a survey," IEEE Transactions on Knowledge and Data Engineering, vol. 16, no. 11, pp. 1370-1386, 2004. https://doi.org/10.1109/TKDE.2004.68
- L. J. P. van der Maaten, E. O. Postma, and H. J. van den Herik, "Dimensionality Reduction: A Comparative Review," Tilburg University, Technical Report, TiCC-TR 2009-005, 2009.