Fuzzy clustering based on α-divergence for spherical data and for categorical multivariate data

研究成果: Conference contribution

7 引用 (Scopus)

抜粋

This paper presents two clustering algorithms based on α-divergence between memberships and variables that control cluster sizes: one is for spherical data and the other for categorical multivariate data. First, this paper shows that a conventional method for vectorial data can be interpreted as the regularization of another conventional method with α-divergence. Second, with this interpretation, a spherical clustering algorithm based on α-divergence is derived from an optimization problem built by regularizing a conventional method with α-divergence. Third, this paper connects the facts that the α-divergence is a generalization of Kullback-Leibler (KL)-divergence, and that three conventional co-clustering methods are based on KL-divergence. Based on these facts, a co-clustering algorithm based on α-divergence is derived from an optimization problem built by extending the KL-divergence in conventional methods to α-divergence. This paper also demonstrates some numerical examples for the proposed methods.

元の言語English
ホスト出版物のタイトルFUZZ-IEEE 2015 - IEEE International Conference on Fuzzy Systems
出版者Institute of Electrical and Electronics Engineers Inc.
2015-November
ISBN(電子版)9781467374286
DOI
出版物ステータスPublished - 2015 11 25
イベントIEEE International Conference on Fuzzy Systems, FUZZ-IEEE 2015 - Istanbul, Turkey
継続期間: 2015 8 22015 8 5

Other

OtherIEEE International Conference on Fuzzy Systems, FUZZ-IEEE 2015
Turkey
Istanbul
期間15/8/215/8/5

ASJC Scopus subject areas

  • Software
  • Theoretical Computer Science
  • Artificial Intelligence
  • Applied Mathematics

フィンガープリント Fuzzy clustering based on α-divergence for spherical data and for categorical multivariate data' の研究トピックを掘り下げます。これらはともに一意のフィンガープリントを構成します。

  • これを引用

    Kanzawa, Y. (2015). Fuzzy clustering based on α-divergence for spherical data and for categorical multivariate data. : FUZZ-IEEE 2015 - IEEE International Conference on Fuzzy Systems (巻 2015-November). [7337853] Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/FUZZ-IEEE.2015.7337853