Abstract
Meta clustering starts from different clusterings of the same data and aims to group them, reducing the complexity of the choice of the best partitioning and the number of alternatives to compare. Starting from a collection of single feature clusterings, a graded possibilistic medoid meta clustering algorithm is proposed in this paper, exploiting the soft transition from probabilistic to possibilistic memberships in a way that produces more compact and separated clusters with respect to other medoid-based algorithms. The performance of the algorithm has been evaluated on six publicly available data sets over three medoid-based competitors, yielding promising results.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Caruana, R., Elhawary, M., Nguyen, N., Smith, C.: Meta clustering. In: Proceedings of the Sixth International Conference on Data Mining. ICDM ’06, IEEE Computer Society (2006) 107–118
Davies, D.L., Bouldin, D.W.: A cluster separation measure. IEEE transactions on pattern analysis and machine intelligence 1(2), 224–227 (1979)
Dharan, S., Nair, A.S.: Biclustering of gene expression data using reactive greedy randomized adaptive search procedure. BMC Bioinformatics 10(Suppl 1), S27 (2009). Jan
Dunn, J.: Well-separated clusters and optimal fuzzy partitions. Journal of Cybernetics 4(1), 95–104 (1974)
Ferone, A., Galletti, A., Maratea, A.: Variable width rough-fuzzy c-means. In: 2017 13th International Conference on Signal-Image Technology Internet-Based Systems (SITIS). (Dec 2017) 458–464
Ferone, A., Maratea, A.: Decoy clustering through graded possibilistic c-medoids. In: 2017 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE). (July 2017) 1–6
Ferone, A., Petrosino, A.: Feature selection through composition of rough–fuzzy sets. In: International Workshop on Fuzzy Logic and Applications, Springer (2016) 116–125
Fowlkes, E.B., Mallows, C.L.: A method for comparing two hierarchical clusterings. Journal of the American Statistical Association 78(383), 553–569 (1983)
Hathaway, R.J., Davenport, J.W., Bezdek, J.C.: Relational duals of the c-means clustering algorithms. Pattern Recognition 22(2), 205–212 (1989)
Hubert, L., Arabie, P.: Comparing partitions. Journal of Classification 2(1), 193–218 (1985). Dec
Kaufman, L., Rousseeuw, P.J.: Finding groups in data : an introduction to cluster analysis. Wiley series in probability and mathematical statistics. Wiley, New York (1990) A Wiley-Interscience publication
Kleinberg, J.M.: An impossibility theorem for clustering. In: Becker, S., Thrun, S., Obermayer, K. (eds.) Advances in Neural Information Processing Systems 15, pp. 446–453. MIT Press (2002). http://papers.nips.cc/paper/2340-an-impossibility-theorem-forclustering.pdf
Krishnapuram, R., Joshi, A., Nasraoui, O., Yi, L.: Low-complexity fuzzy relational clustering algorithms for web mining. IEEE Transactions on Fuzzy Systems 9(4), 595–607 (2001)
Lichman, M.: UCI machine learning repository (2013)
Maji, P., Pal, S.K.: Rough set based generalized fuzzy-means algorithm and quantitative indices. Trans. Sys. Man Cyber. Part B 37(6), 1529–1540 (2007)
Morey, L., Agresti, A.: The measurement of classification agreement: An adjustment to the rand statistic for chance agreement. ” 44 (03 1984) 33–37
Peters, G., Lampart, M.: A partitive rough clustering algorithm. In: Greco, S., Hata, Y., Hirano, S., Inuiguchi, M., Miyamoto, S., Nguyen, H.S., Słowiński, R. (eds.) Rough Sets and Current Trends in Computing, pp. 657–666. Springer, Berlin Heidelberg, Berlin, Heidelberg (2006)
Pontes, B., Girldez, R., Aguilar-Ruiz, J.S.: Biclustering on expression data: A review. Journal of Biomedical Informatics 57(Supplement C) (2015) 163 – 180
Rand, W.: Objective criteria for the evaluation of clustering methods. Journal of the American Statistical Association 66(336), 846–850 (1971)
Slonim, N., Tishby, N.: Agglomerative information bottleneck. In: Solla, S.A., Leen, T.K., Müller, K. (eds.) Advances in Neural Information Processing Systems 12, pp. 617–623. MIT Press (1999). http://papers.nips.cc/paper/1651-agglomerative-informationbottleneck.pdf
Wagner, S., Wagner, D.: Comparing clusterings- an overview (2007)
Acknowledgements
Authors would like to acknowledge the financial support for this research through “Bando di sostegno alla ricerca individuale per il triennio 2015–2017 – Annualità 2017” granted by University of Naples “Parthenope”.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2020 Springer Nature Singapore Pte Ltd.
About this chapter
Cite this chapter
Ferone, A., Maratea, A. (2020). Graded Possibilistic Meta Clustering. In: Esposito, A., Faundez-Zanuy, M., Morabito, F., Pasero, E. (eds) Neural Approaches to Dynamics of Signal Exchanges. Smart Innovation, Systems and Technologies, vol 151. Springer, Singapore. https://doi.org/10.1007/978-981-13-8950-4_18
Download citation
DOI: https://doi.org/10.1007/978-981-13-8950-4_18
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-13-8949-8
Online ISBN: 978-981-13-8950-4
eBook Packages: Intelligent Technologies and RoboticsIntelligent Technologies and Robotics (R0)