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Erschienen in: Soft Computing 1/2013

01.01.2013 | Original Paper

On semi-supervised fuzzy c-means clustering for data with clusterwise tolerance by opposite criteria

verfasst von: Yukihiro Hamasuna, Yasunori Endo

Erschienen in: Soft Computing | Ausgabe 1/2013

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Abstract

This paper presents a new semi-supervised fuzzy c-means clustering for data with clusterwise tolerance by opposite criteria. In semi-supervised clustering, pairwise constraints, that is, must-link and cannot-link, are frequently used in order to improve clustering performances. From the viewpoint of handling pairwise constraints, a new semi-supervised fuzzy c-means clustering is proposed by introducing clusterwise tolerance-based pairwise constraints. First, a concept of clusterwise tolerance-based pairwise constraints is introduced. Second, the optimization problems of the proposed method are formulated. Especially, must-link and cannot-link are handled by opposite criteria in our proposed method. Third, a new clustering algorithm is constructed based on the above discussions. Finally, the effectiveness of the proposed algorithm is verified through numerical examples.

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Literatur
Zurück zum Zitat Basu S, Bilenko M, Mooney RJ (2004) A probabilistic framework for semi-supervised clustering. In: Proceedings of the 10th ACM SIGKDD international conference on knowledge discovery and data mining (KDD 2004), pp 59–68 Basu S, Bilenko M, Mooney RJ (2004) A probabilistic framework for semi-supervised clustering. In: Proceedings of the 10th ACM SIGKDD international conference on knowledge discovery and data mining (KDD 2004), pp 59–68
Zurück zum Zitat Bezdek JC (1981) Pattern recognition with fuzzy objective function algorithms. Plenum Press, New YorkMATHCrossRef Bezdek JC (1981) Pattern recognition with fuzzy objective function algorithms. Plenum Press, New YorkMATHCrossRef
Zurück zum Zitat Chapelle O, Schoölkopf B, Zien A (eds) (2006) Semi-supervised learning. MIT Press, Cambridge Chapelle O, Schoölkopf B, Zien A (eds) (2006) Semi-supervised learning. MIT Press, Cambridge
Zurück zum Zitat Davidson I, Ravi SS (2005) Agglomerative hierarchical clustering with constraints: theoretical and empirical results. In: Proceedings of 9th European conference on principles and practice of knowledge discovery in databases (KDD 2005), pp 59–70 Davidson I, Ravi SS (2005) Agglomerative hierarchical clustering with constraints: theoretical and empirical results. In: Proceedings of 9th European conference on principles and practice of knowledge discovery in databases (KDD 2005), pp 59–70
Zurück zum Zitat Endo Y, Murata R, Haruyama H, Miyamoto S (2005) Fuzzy \(c\)-means for data with tolerance. In: Proceedings of international symposium on nonlinear theory and its applications (Nolta’05), pp 345–348 Endo Y, Murata R, Haruyama H, Miyamoto S (2005) Fuzzy \(c\)-means for data with tolerance. In: Proceedings of international symposium on nonlinear theory and its applications (Nolta’05), pp 345–348
Zurück zum Zitat Hamasuna Y, Endo Y, Miyamoto S (2009) On tolerant fuzzy \(c\)-means. J Adv Comput Intell Intell Inf (JACIII) 13(4):421–427 Hamasuna Y, Endo Y, Miyamoto S (2009) On tolerant fuzzy \(c\)-means. J Adv Comput Intell Intell Inf (JACIII) 13(4):421–427
Zurück zum Zitat Hamasuna Y, Endo Y (2010) Semi-supervised fuzzy \(c\)-means clustering for data with clusterwise tolerance with pairwise constraints. In: Joint 5th international conference on soft computing and intelligent systems and 11th international symposium on advanced intelligent systems (SCIS & iSIS 2010), pp 397–400 Hamasuna Y, Endo Y (2010) Semi-supervised fuzzy \(c\)-means clustering for data with clusterwise tolerance with pairwise constraints. In: Joint 5th international conference on soft computing and intelligent systems and 11th international symposium on advanced intelligent systems (SCIS & iSIS 2010), pp 397–400
Zurück zum Zitat Hamasuna Y, Endo Y, Miyamoto Y (2010a) Semi-supervised fuzzy \(c\)-means clustering using clusterwise tolerance based pairwise constraints. In: Proceedings of 2010 IEEE international conference on granular, computing (GrC2010), pp 188–193 Hamasuna Y, Endo Y, Miyamoto Y (2010a) Semi-supervised fuzzy \(c\)-means clustering using clusterwise tolerance based pairwise constraints. In: Proceedings of 2010 IEEE international conference on granular, computing (GrC2010), pp 188–193
Zurück zum Zitat Hamasuna Y, Endo Y, Miyamoto S (2010b) Semi-supervised agglomerative hierarchical clustering using clusterwise tolerance based pairwise constraint. In: The 7th international conference on modeling decisions for artificial intelligence (MDAI2010). Lecture notes in artificial intelligence LNAI6408. Springer, Berlin, pp 152–162 Hamasuna Y, Endo Y, Miyamoto S (2010b) Semi-supervised agglomerative hierarchical clustering using clusterwise tolerance based pairwise constraint. In: The 7th international conference on modeling decisions for artificial intelligence (MDAI2010). Lecture notes in artificial intelligence LNAI6408. Springer, Berlin, pp 152–162
Zurück zum Zitat Hamasuna Y, Endo Y, Miyamoto S (2011a) Semi-supervised agglomerative hierarchical clustering with ward method using clusterwise tolerance. In: The 8th international conference on modeling decisions for artificial intelligence (MDAI2011). Lecture notes in artificial intelligence LNAI6820. Springer, Berlin, pp 103–113 Hamasuna Y, Endo Y, Miyamoto S (2011a) Semi-supervised agglomerative hierarchical clustering with ward method using clusterwise tolerance. In: The 8th international conference on modeling decisions for artificial intelligence (MDAI2011). Lecture notes in artificial intelligence LNAI6820. Springer, Berlin, pp 103–113
Zurück zum Zitat Hamasuna Y, Endo Y, Miyamoto S (2011b) Fuzzy \(c\)-means clustering for data with clusterwise tolerance based on \(L_2\)- and \(L_1\)-regularization. J Adv Comput Intell Intell Inf (JACIII) 15(1):68–75 Hamasuna Y, Endo Y, Miyamoto S (2011b) Fuzzy \(c\)-means clustering for data with clusterwise tolerance based on \(L_2\)- and \(L_1\)-regularization. J Adv Comput Intell Intell Inf (JACIII) 15(1):68–75
Zurück zum Zitat Klein D, Kamvar S, Manning C (2002) From instance-level constraints to space-level constraints: making the most of prior knowledge in data clustering. In: Proceedings of the 19th international conference on machine learning (ICML 2002), pp 307–314 Klein D, Kamvar S, Manning C (2002) From instance-level constraints to space-level constraints: making the most of prior knowledge in data clustering. In: Proceedings of the 19th international conference on machine learning (ICML 2002), pp 307–314
Zurück zum Zitat Kulis B, Basu S, Dhillon I, Mooney R (2009) Semi-supervised graph clustering: a kernel approach. Mach Learn 74(1):1–22CrossRef Kulis B, Basu S, Dhillon I, Mooney R (2009) Semi-supervised graph clustering: a kernel approach. Mach Learn 74(1):1–22CrossRef
Zurück zum Zitat Miyamoto S, Mukaidono M (1997) Fuzzy \(c\)-means as a regularization and maximum entropy approach. In: Proceedings of the 7th international fuzzy systems association world congress (IFSA’97), vol 2, pp 86–92 Miyamoto S, Mukaidono M (1997) Fuzzy \(c\)-means as a regularization and maximum entropy approach. In: Proceedings of the 7th international fuzzy systems association world congress (IFSA’97), vol 2, pp 86–92
Zurück zum Zitat Miyamoto S, Ichihashi H, Honda K (2008) Algorithms for fuzzy clustering. Springer, HeidelbergMATH Miyamoto S, Ichihashi H, Honda K (2008) Algorithms for fuzzy clustering. Springer, HeidelbergMATH
Zurück zum Zitat Miyamoto S, Yamazaki M, Terami A (2009) On semi-supervised clustering with pairwise constraints. In: Proceedings of the 7th international conference on modeling decisions for artificial intelligence (MDAI 2009), pp 245–254 (CD-ROM). Miyamoto S, Yamazaki M, Terami A (2009) On semi-supervised clustering with pairwise constraints. In: Proceedings of the 7th international conference on modeling decisions for artificial intelligence (MDAI 2009), pp 245–254 (CD-ROM).
Zurück zum Zitat Wagstaff K, Cardie C, Rogers S, Schroedl S (2001) Constrained k-means clustering with background knowledge. In: Proceedings of the 18th international conference on machine learning (ICML 2001), pp 577–584 Wagstaff K, Cardie C, Rogers S, Schroedl S (2001) Constrained k-means clustering with background knowledge. In: Proceedings of the 18th international conference on machine learning (ICML 2001), pp 577–584
Zurück zum Zitat Yan B, Domeniconi C (2006) An adaptive kernel method for semi-supervised clustering. In: Proceedings of 17th European conference on machine learning (ECML 2006), pp 521–532 Yan B, Domeniconi C (2006) An adaptive kernel method for semi-supervised clustering. In: Proceedings of 17th European conference on machine learning (ECML 2006), pp 521–532
Metadaten
Titel
On semi-supervised fuzzy c-means clustering for data with clusterwise tolerance by opposite criteria
verfasst von
Yukihiro Hamasuna
Yasunori Endo
Publikationsdatum
01.01.2013
Verlag
Springer-Verlag
Erschienen in
Soft Computing / Ausgabe 1/2013
Print ISSN: 1432-7643
Elektronische ISSN: 1433-7479
DOI
https://doi.org/10.1007/s00500-012-0904-7

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