Stronger Convergence Results for the Center-Based Fuzzy Clustering With Convex Divergence Measure
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[1] Biao Hou,et al. Discriminative Transformation Learning for Fuzzy Sparse Subspace Clustering , 2017, IEEE Transactions on Cybernetics.
[2] Lawrence O. Hall,et al. Convergence of the Single-Pass and Online Fuzzy C-Means Algorithms , 2011, IEEE Transactions on Fuzzy Systems.
[3] David S. Johnson,et al. Computers and Intractability: A Guide to the Theory of NP-Completeness , 1978 .
[4] James C. Bezdek,et al. Optimization of clustering criteria by reformulation , 1995, IEEE Trans. Fuzzy Syst..
[5] Jongwoo Kim,et al. A note on the Gustafson-Kessel and adaptive fuzzy clustering algorithms , 1999, IEEE Trans. Fuzzy Syst..
[6] Rui Xu,et al. Survey of clustering algorithms , 2005, IEEE Transactions on Neural Networks.
[7] John F. Kolen,et al. Reducing the time complexity of the fuzzy c-means algorithm , 2002, IEEE Trans. Fuzzy Syst..
[8] Swagatam Das,et al. Optimizing cluster structures with inner product induced norm based dissimilarity measures: Theoretical development and convergence analysis , 2016, Inf. Sci..
[9] Swagatam Das,et al. Geometric divergence based fuzzy clustering with strong resilience to noise features , 2016, Pattern Recognit. Lett..
[10] Swagatam Das,et al. On the unification of possibilistic fuzzy clustering: Axiomatic development and convergence analysis , 2017, Fuzzy Sets Syst..
[11] Swagatam Das,et al. Feature-weighted clustering with inner product induced norm based dissimilarity measures: an optimization perspective , 2017, Machine Learning.
[12] Yingjie Tian,et al. A Comprehensive Survey of Clustering Algorithms , 2015, Annals of Data Science.
[13] L. Hubert,et al. Comparing partitions , 1985 .
[14] Korris Fu-Lai Chung,et al. Generalized Fuzzy C-Means Clustering Algorithm With Improved Fuzzy Partitions , 2009, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).
[15] Donald Gustafson,et al. Fuzzy clustering with a fuzzy covariance matrix , 1978, 1978 IEEE Conference on Decision and Control including the 17th Symposium on Adaptive Processes.
[16] Jens Jäkel,et al. A New Convergence Proof of Fuzzy c-Means , 2005, IEEE Trans. Fuzzy Syst..
[17] James C. Bezdek,et al. Pattern Recognition with Fuzzy Objective Function Algorithms , 1981, Advanced Applications in Pattern Recognition.
[18] James C. Bezdek,et al. Local convergence of the fuzzy c-Means algorithms , 1986, Pattern Recognit..
[19] Hui Xiong,et al. A Generalization of Distance Functions for Fuzzy $c$ -Means Clustering With Centroids of Arithmetic Means , 2012, IEEE Transactions on Fuzzy Systems.
[20] E. M. L. Beale,et al. Nonlinear Programming: A Unified Approach. , 1970 .
[21] Paulo Fazendeiro,et al. Observer-Biased Fuzzy Clustering , 2015, IEEE Transactions on Fuzzy Systems.
[22] Swagatam Das,et al. k-Means clustering with a new divergence-based distance metric: Convergence and performance analysis , 2017, Pattern Recognit. Lett..
[23] Isak Gath,et al. Unsupervised Optimal Fuzzy Clustering , 1989, IEEE Trans. Pattern Anal. Mach. Intell..
[24] Teh Ying Wah,et al. A Comparison Study on Similarity and Dissimilarity Measures in Clustering Continuous Data , 2015, PloS one.
[25] Tamalika Chaira,et al. A novel intuitionistic fuzzy C means clustering algorithm and its application to medical images , 2011, Appl. Soft Comput..
[26] Anil K. Jain,et al. Data clustering: a review , 1999, CSUR.
[27] Andrzej Stachurski,et al. Parallel Optimization: Theory, Algorithms and Applications , 2000, Scalable Comput. Pract. Exp..
[28] Y. Censor,et al. An iterative row-action method for interval convex programming , 1981 .
[29] James C. Bezdek,et al. Convergence of Alternating Optimization , 2003, Neural Parallel Sci. Comput..
[30] J. C. Dunn,et al. A Fuzzy Relative of the ISODATA Process and Its Use in Detecting Compact Well-Separated Clusters , 1973 .
[31] Jian Yu,et al. Analysis of Parameter Selection for Gustafson–Kessel Fuzzy Clustering Using Jacobian Matrix , 2015, IEEE Transactions on Fuzzy Systems.
[32] A. Barron,et al. APPROXIMATION OF DENSITY FUNCTIONS BY SEQUENCES OF EXPONENTIAL FAMILIES , 1991 .
[33] Jian Yu,et al. Optimality test for generalized FCM and its application to parameter selection , 2005, IEEE Transactions on Fuzzy Systems.
[34] Inderjit S. Dhillon,et al. Clustering with Bregman Divergences , 2005, J. Mach. Learn. Res..
[35] Kuo-Ping Lin,et al. A Novel Evolutionary Kernel Intuitionistic Fuzzy $C$ -means Clustering Algorithm , 2014, IEEE Transactions on Fuzzy Systems.
[36] Marc Teboulle,et al. A Unified Continuous Optimization Framework for Center-Based Clustering Methods , 2007, J. Mach. Learn. Res..
[37] Shokri Z. Selim,et al. On the Local Optimality of the Fuzzy Isodata Clustering Algorithm , 1986, IEEE Transactions on Pattern Analysis and Machine Intelligence.
[38] W. T. Tucker,et al. Convergence theory for fuzzy c-means: Counterexamples and repairs , 1987, IEEE Transactions on Systems, Man, and Cybernetics.
[39] John E. Dennis,et al. Numerical methods for unconstrained optimization and nonlinear equations , 1983, Prentice Hall series in computational mathematics.
[40] James C. Bezdek,et al. Optimality tests for fixed points of the fuzzy c-means algorithm , 1988, Pattern Recognit..
[41] L. Bregman. The relaxation method of finding the common point of convex sets and its application to the solution of problems in convex programming , 1967 .
[42] I. Csiszár. $I$-Divergence Geometry of Probability Distributions and Minimization Problems , 1975 .
[43] James C. Bezdek,et al. A Convergence Theorem for the Fuzzy ISODATA Clustering Algorithms , 1980, IEEE Transactions on Pattern Analysis and Machine Intelligence.
[44] Hsiang-Chuan Liu,et al. Fuzzy C-Mean Algorithm Based on Mahalanobis Distances and Better Initial Values , 2007 .
[45] Jian Yu,et al. Analysis of the weighting exponent in the FCM , 2004, IEEE Trans. Syst. Man Cybern. Part B.