On Some Fuzzy Clustering Algorithms with Cluster-Wise Covariance

Toshiki Ishii; Yuchi Kanzawa

doi:10.1007/978-3-030-98018-4_16

On Some Fuzzy Clustering Algorithms with Cluster-Wise Covariance

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

In many fuzzy clustering algorithms, the KL-divergence-regularized method based on the Gaussian mixture model, fuzzy classification maximum likelihood, and a fuzzy mixture of Student’s-t distributions have been proposed for cluster-wise anisotropic data, whereas more other types of fuzzification technique have been applied to fuzzy clustering for cluster-wise isotropic data. In this study, some fuzzy clustering algorithms are proposed based on the combinations between four types of fuzzification—namely, the Bezdek-type fuzzification, KL-divergence regularization, fuzzy classification maximum likelihood, and q-divergence-basis—and two types of mixture model—namely, the Gaussian mixture model and t-mixture model. Numerical experiments are conducted to demonstrate the features of the proposed methods.

Original language	English
Title of host publication	Integrated Uncertainty in Knowledge Modelling and Decision Making - 9th International Symposium, IUKM 2022, Proceedings
Editors	Katsuhiro Honda, Tomoe Entani, Seiki Ubukata, Van-Nam Huynh, Masahiro Inuiguchi
Publisher	Springer Science and Business Media Deutschland GmbH
Pages	191-203
Number of pages	13
ISBN (Print)	9783030980177
DOIs	https://doi.org/10.1007/978-3-030-98018-4_16
Publication status	Published - 2022
Event	9th International Symposium on Integrated Uncertainty in Knowledge Modelling and Decision Making, IUKM 2022 - Ishikawa, Japan Duration: 2022 Mar 18 → 2022 Mar 19

Publication series

Name	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume	13199 LNAI
ISSN (Print)	0302-9743
ISSN (Electronic)	1611-3349

Conference

Conference	9th International Symposium on Integrated Uncertainty in Knowledge Modelling and Decision Making, IUKM 2022
Country/Territory	Japan
City	Ishikawa
Period	22/3/18 → 22/3/19

Keywords

Cluster-wise anisotropic data
Fuzzy clustering
q-divergence
t distribution

ASJC Scopus subject areas

Theoretical Computer Science
Computer Science(all)

Access to Document

10.1007/978-3-030-98018-4_16

Cite this

Ishii, T., & Kanzawa, Y. (2022). On Some Fuzzy Clustering Algorithms with Cluster-Wise Covariance. In K. Honda, T. Entani, S. Ubukata, V-N. Huynh, & M. Inuiguchi (Eds.), Integrated Uncertainty in Knowledge Modelling and Decision Making - 9th International Symposium, IUKM 2022, Proceedings (pp. 191-203). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 13199 LNAI). Springer Science and Business Media Deutschland GmbH. https://doi.org/10.1007/978-3-030-98018-4_16

On Some Fuzzy Clustering Algorithms with Cluster-Wise Covariance. / Ishii, Toshiki; Kanzawa, Yuchi.
Integrated Uncertainty in Knowledge Modelling and Decision Making - 9th International Symposium, IUKM 2022, Proceedings. ed. / Katsuhiro Honda; Tomoe Entani; Seiki Ubukata; Van-Nam Huynh; Masahiro Inuiguchi. Springer Science and Business Media Deutschland GmbH, 2022. p. 191-203 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 13199 LNAI).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Ishii, T & Kanzawa, Y 2022, On Some Fuzzy Clustering Algorithms with Cluster-Wise Covariance. in K Honda, T Entani, S Ubukata, V-N Huynh & M Inuiguchi (eds), Integrated Uncertainty in Knowledge Modelling and Decision Making - 9th International Symposium, IUKM 2022, Proceedings. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 13199 LNAI, Springer Science and Business Media Deutschland GmbH, pp. 191-203, 9th International Symposium on Integrated Uncertainty in Knowledge Modelling and Decision Making, IUKM 2022, Ishikawa, Japan, 22/3/18. https://doi.org/10.1007/978-3-030-98018-4_16

Ishii T, Kanzawa Y. On Some Fuzzy Clustering Algorithms with Cluster-Wise Covariance. In Honda K, Entani T, Ubukata S, Huynh V-N, Inuiguchi M, editors, Integrated Uncertainty in Knowledge Modelling and Decision Making - 9th International Symposium, IUKM 2022, Proceedings. Springer Science and Business Media Deutschland GmbH. 2022. p. 191-203. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). doi: 10.1007/978-3-030-98018-4_16

Ishii, Toshiki ; Kanzawa, Yuchi. / On Some Fuzzy Clustering Algorithms with Cluster-Wise Covariance. Integrated Uncertainty in Knowledge Modelling and Decision Making - 9th International Symposium, IUKM 2022, Proceedings. editor / Katsuhiro Honda ; Tomoe Entani ; Seiki Ubukata ; Van-Nam Huynh ; Masahiro Inuiguchi. Springer Science and Business Media Deutschland GmbH, 2022. pp. 191-203 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).

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On Some Fuzzy Clustering Algorithms with Cluster-Wise Covariance

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