Paper:
Entropy-Regularized Fuzzy Clustering for Non-Euclidean Relational Data and Indefinite Kernel Data
Yuchi Kanzawa
Shibaura Institute of Technology, 3-7-5 Toyosu, Koto, Tokyo 135-8548, Japan
- [1] J. C. Bezdek, “Pattern Recognition with Fuzzy Objective Function Algorithms,” Plenum, New York, 1981.
- [2] S. Miyamoto and K. Umayahara, “Methods in Hard and Fuzzy Clustering,” in: Z.-Q. Liu and S. Miyamoto (Eds.), Soft Computing and Human-centered Machines, Springer-Verlag, Tokyo, 2000.
- [3] R. J. Hathaway, J. W. Davenport, and J. C. Bezdek, “Relational Duals of the c-means Clustering Algorithms,” Pattern Recognition, Vol.22, No.2, pp. 205-212, 1989.
- [4] M. Filippone, “Dealing with Non-metric Dissimilarities in Fuzzy Central Clustering Algorithms,” Int. J. of Approximate Reasoning, Vol.40, No.2, pp. 363-384, 2009.
- [5] R. J. Hathaway and J. C. Bezdek, “NERF C-means: Non-Euclidean Relational Fuzzy Clustering,” Pattern Recognition, Vol.27, pp. 429-437, 1994.
- [6] S. Miyamoto and D. Suizu, “Fuzzy c-Means Clustering Using Kernel Functions in Support Vector Machines,” J. Advanced Computational Intelligence and Intelligent Informatics, Vol.7, No.1, pp. 25-30, 2003.
- [7] V. N. Vapnik, “Statistical Learning Theory,” Wiley, New York, 1998.
- [8] S.Miyamoto, Y. Kawasaki, and K. Sawazaki, “An Explicit Mapping for Kernel Data Analysis and Application to Text Analysis,” Proc. IFSA-EUSFLAT 2009, pp. 618-623, 2009.
- [9] S. Miyamoto and K. Sawazaki, “An Explicit Mapping for Kernel Data Analysis and Application to c-Means Clustering,” Proc. NOLTA 2009, pp. 556-559, 2009.
- [10] Y. Kanzawa, Y. Endo, and S. Miyamoto, “Indefinite Kernel Fuzzy c-Means Clustering Algorithms,” Lecture Notes in Computer Science, Vol.6408, pp. 116-128, 2010.
- [11] S. Tamura, S. Higuchi, and K. Tanaka, “Pattern Classification Based on Fuzzy Relations,” IEEE Trans. Syst. Man Cybern., Vol.1, No.1, pp. 61-66, 1971.
- [12] J. W. Scannell, C. Blakemore, and M. P. Young, “Analysis of Connectivity in the Cat Cerebral Cortex,” J. Neuroscience, Vol.15, No.2, pp. 1463-1483, 1995.
- [13] G. Ghosh, A. Strehl, and S. Merugu, “A Consensus Framework for Integrating Distributed Clusterings under Limited Knowledge Sharing,” Proc. NSFWorkshop on Next Generation DataMining, pp. 99-108, 2002.
- [14] J. C. Bezdek, J. Keller, R. Krisnapuram, and N. R. Pal, “Fuzzy Models and Algorithms for Pattern Recognition and Image Processing,” Kluwer Academic Publishing, Boston, 1999.
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