On Tsallis Entropy-Based and Bezdek-Type Fuzzy Latent Semantics Analysis

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

In this study, we present two types of fuzzy counterparts to the probabilistic latent semantic analysis (pLSA) approach. The first type is derived by solving the optimization problem of Tsallis entropy-penalizing free energy of a pseudo pLSA model using a modified i.i.d. assumption; this derivation is similar to that of the conventional fuzzy counterpart of the pLSA that involves solving the optimization problem of Shannon entropy-penalizing free energy. The second proposed approach is derived from the first approach by letting the fuzzification parameter approach infinity; this derivation is similar to the derivation of a fuzzy clustering algorithm from another fuzzy clustering algorithm by letting the fuzzification parameter approach infinity. Furthermore, some numerical examples for the proposed methods are presented.

Original languageEnglish
Title of host publicationProceedings - 2018 IEEE International Conference on Systems, Man, and Cybernetics, SMC 2018
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages3685-3689
Number of pages5
ISBN (Electronic)9781538666500
DOIs
Publication statusPublished - 2019 Jan 16
Event2018 IEEE International Conference on Systems, Man, and Cybernetics, SMC 2018 - Miyazaki, Japan
Duration: 2018 Oct 72018 Oct 10

Publication series

NameProceedings - 2018 IEEE International Conference on Systems, Man, and Cybernetics, SMC 2018

Conference

Conference2018 IEEE International Conference on Systems, Man, and Cybernetics, SMC 2018
CountryJapan
CityMiyazaki
Period18/10/718/10/10

Fingerprint

Entropy
Fuzzy clustering
Semantics
Clustering algorithms
Free energy
Latent semantic analysis
Optimization problem
Clustering algorithm
Energy

ASJC Scopus subject areas

  • Information Systems
  • Information Systems and Management
  • Health Informatics
  • Artificial Intelligence
  • Computer Networks and Communications
  • Human-Computer Interaction

Cite this

Kanzawa, Y. (2019). On Tsallis Entropy-Based and Bezdek-Type Fuzzy Latent Semantics Analysis. In Proceedings - 2018 IEEE International Conference on Systems, Man, and Cybernetics, SMC 2018 (pp. 3685-3689). [8616620] (Proceedings - 2018 IEEE International Conference on Systems, Man, and Cybernetics, SMC 2018). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/SMC.2018.00623

On Tsallis Entropy-Based and Bezdek-Type Fuzzy Latent Semantics Analysis. / Kanzawa, Yuchi.

Proceedings - 2018 IEEE International Conference on Systems, Man, and Cybernetics, SMC 2018. Institute of Electrical and Electronics Engineers Inc., 2019. p. 3685-3689 8616620 (Proceedings - 2018 IEEE International Conference on Systems, Man, and Cybernetics, SMC 2018).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Kanzawa, Y 2019, On Tsallis Entropy-Based and Bezdek-Type Fuzzy Latent Semantics Analysis. in Proceedings - 2018 IEEE International Conference on Systems, Man, and Cybernetics, SMC 2018., 8616620, Proceedings - 2018 IEEE International Conference on Systems, Man, and Cybernetics, SMC 2018, Institute of Electrical and Electronics Engineers Inc., pp. 3685-3689, 2018 IEEE International Conference on Systems, Man, and Cybernetics, SMC 2018, Miyazaki, Japan, 18/10/7. https://doi.org/10.1109/SMC.2018.00623
Kanzawa Y. On Tsallis Entropy-Based and Bezdek-Type Fuzzy Latent Semantics Analysis. In Proceedings - 2018 IEEE International Conference on Systems, Man, and Cybernetics, SMC 2018. Institute of Electrical and Electronics Engineers Inc. 2019. p. 3685-3689. 8616620. (Proceedings - 2018 IEEE International Conference on Systems, Man, and Cybernetics, SMC 2018). https://doi.org/10.1109/SMC.2018.00623
Kanzawa, Yuchi. / On Tsallis Entropy-Based and Bezdek-Type Fuzzy Latent Semantics Analysis. Proceedings - 2018 IEEE International Conference on Systems, Man, and Cybernetics, SMC 2018. Institute of Electrical and Electronics Engineers Inc., 2019. pp. 3685-3689 (Proceedings - 2018 IEEE International Conference on Systems, Man, and Cybernetics, SMC 2018).
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