TY - GEN
T1 - On Tsallis Entropy-Based and Bezdek-Type Fuzzy Latent Semantics Analysis
AU - Kanzawa, Yuchi
N1 - Publisher Copyright:
© 2018 IEEE.
PY - 2019/1/16
Y1 - 2019/1/16
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85062241193&partnerID=8YFLogxK
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U2 - 10.1109/SMC.2018.00623
DO - 10.1109/SMC.2018.00623
M3 - Conference contribution
AN - SCOPUS:85062241193
T3 - Proceedings - 2018 IEEE International Conference on Systems, Man, and Cybernetics, SMC 2018
SP - 3685
EP - 3689
BT - Proceedings - 2018 IEEE International Conference on Systems, Man, and Cybernetics, SMC 2018
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 2018 IEEE International Conference on Systems, Man, and Cybernetics, SMC 2018
Y2 - 7 October 2018 through 10 October 2018
ER -