메뉴 건너뛰기




Volumn 50, Issue 6, 2006, Pages 1452-1477

Fuzzy unsupervised classification of multivariate time trajectories with the Shannon entropy regularization

Author keywords

Dynamic fuzzy clustering; Entropy regularization; Maximum entropy; Multivariate time varying data; Shannon entropy; Uncertainty

Indexed keywords

CLASSIFICATION (OF INFORMATION); FUNCTIONS; MATHEMATICAL MODELS; TRAJECTORIES;

EID: 27744501380     PISSN: 01679473     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.csda.2005.01.008     Document Type: Article
Times cited : (51)

References (40)
  • 1
    • 67149106085 scopus 로고    scopus 로고
    • Fuzzy c-means and a mixture distribution for clustering of noisy data
    • October 21-25, Tsukuba, Japan
    • Alanzado, A.C., Miyamoto, S., 2002. Fuzzy c-means and a mixture distribution for clustering of noisy data. Proceedings of SCIS & ISIS 2002 Conference, October 21-25, Tsukuba, Japan.
    • (2002) Proceedings of SCIS & ISIS 2002 Conference
    • Alanzado, A.C.1    Miyamoto, S.2
  • 3
    • 0016206886 scopus 로고
    • Numerical taxonomy with fuzzy sets
    • J.C. Bezdek Numerical taxonomy with fuzzy sets J. Math. Biol. 1 1974 57 71
    • (1974) J. Math. Biol. , vol.1 , pp. 57-71
    • Bezdek, J.C.1
  • 6
    • 3142674107 scopus 로고    scopus 로고
    • The geometric approach to the comparison of multivariate time trajectories
    • S. Borra R. Rocci M. Vichi M. Schader Springer Heidelberg
    • R. Coppi, and P. D'Urso The geometric approach to the comparison of multivariate time trajectories S. Borra R. Rocci M. Vichi M. Schader Advances in Data Science and Classification 2001 Springer Heidelberg 93 100
    • (2001) Advances in Data Science and Classification , pp. 93-100
    • Coppi, R.1    D'Urso, P.2
  • 7
    • 0037892855 scopus 로고    scopus 로고
    • Fuzzy K-means clustering models for triangular fuzzy time trajectories
    • R. Coppi, and P. D'Urso Fuzzy K-means clustering models for triangular fuzzy time trajectories Statist. Methods Appl. 11 1 2002 21 40
    • (2002) Statist. Methods Appl. , vol.11 , Issue.1 , pp. 21-40
    • Coppi, R.1    D'Urso, P.2
  • 8
    • 0038006805 scopus 로고    scopus 로고
    • Three-way fuzzy clustering models for LR fuzzy time trajectories
    • R. Coppi, and P. D'Urso Three-way fuzzy clustering models for LR fuzzy time trajectories Comput. Statist. Data Anal. 43 2003 149 177
    • (2003) Comput. Statist. Data Anal. , vol.43 , pp. 149-177
    • Coppi, R.1    D'Urso, P.2
  • 9
    • 26344469343 scopus 로고    scopus 로고
    • Dissimilarity measures for time trajectories
    • P. D'Urso Dissimilarity measures for time trajectories J. Italian Statist. Soc. 1-3 2000 1 31
    • (2000) J. Italian Statist. Soc. , vol.1-3 , pp. 1-31
    • D'Urso, P.1
  • 10
    • 3142713146 scopus 로고    scopus 로고
    • Fuzzy C-means clustering models for multivariate time varying data: Different approaches
    • P. D'Urso Fuzzy C-means clustering models for multivariate time varying data: different approaches Int. J. Uncertainty, Fuzziness Knowledge-Based Systems 12 3 2004 287 326
    • (2004) Int. J. Uncertainty, Fuzziness Knowledge-Based Systems , vol.12 , Issue.3 , pp. 287-326
    • D'Urso, P.1
  • 11
    • 27644501576 scopus 로고    scopus 로고
    • Fuzzy clustering for data time array with inlier and outlier time trajectories
    • in press
    • D'Urso, P., 2005. Fuzzy clustering for data time array with inlier and outlier time trajectories. IEEE Trans. Fuzzy Systems, in press.
    • (2005) IEEE Trans. Fuzzy Systems
    • D'Urso, P.1
  • 12
    • 0015644825 scopus 로고
    • A fuzzy relative of the ISODATA process and its use in detecting compact well-separated clusters
    • J.C. Dunn A fuzzy relative of the ISODATA process and its use in detecting compact well-separated clusters J. Cybern. 3 1974 32 57
    • (1974) J. Cybern. , vol.3 , pp. 32-57
    • Dunn, J.C.1
  • 14
    • 0004022158 scopus 로고
    • Studi Economico-Giuridici della Facoltà di Giurisprudenza dell'Università di Cagliari, III, parte II
    • Gini, C., 1912. Variabilità e mutabilità, Studi Economico-Giuridici della Facoltà di Giurisprudenza dell'Università di Cagliari, III, parte II.
    • (1912) Variabilità e Mutabilità
    • Gini, C.1
  • 17
    • 1942532746 scopus 로고    scopus 로고
    • Linear fuzzy clustering technique with missing values and their application to Local Principal Component Analysis
    • Honda, K., Ichihashi, H., 2004. Linear fuzzy clustering technique with missing values and their application to Local Principal Component Analysis. IEEE Transactions on Fuzzy Systems, 12 (2), 183-193.
    • (2004) IEEE Transactions on Fuzzy Systems , vol.12 , Issue.2 , pp. 183-193
    • Honda, K.1    Ichihashi, H.2
  • 18
    • 0000612344 scopus 로고    scopus 로고
    • Gaussian mixture PDF approximation and fuzzy c-means clustering with entropy regularization
    • Tsukuba, Japan, 31 May-3 June 2000
    • Ichihashi, H., Honda, K., Tani, N., 2000. Gaussian mixture PDF approximation and fuzzy c-means clustering with entropy regularization. Proceedings of the Fourth Asian Fuzzy System Symposium, Tsukuba, Japan, 31 May-3 June 2000, pp. 217-221.
    • (2000) Proceedings of the Fourth Asian Fuzzy System Symposium , pp. 217-221
    • Ichihashi, H.1    Honda, K.2    Tani, N.3
  • 19
    • 27744555514 scopus 로고    scopus 로고
    • Unsupervised non-hierarchical entropy-based clustering
    • H.A.L. Kiers J.P. Rasson P.J.F. Groenen M. Schader Springer Berlin
    • M. Jardino Unsupervised non-hierarchical entropy-based clustering H.A.L. Kiers J.P. Rasson P.J.F. Groenen M. Schader Data Analysis Classification and Related Methods 2000 Springer Berlin
    • (2000) Data Analysis Classification and Related Methods
    • Jardino, M.1
  • 21
    • 0033646780 scopus 로고    scopus 로고
    • Towards a standardized notation and terminology in multiway analysis
    • H.A.L. Kiers Towards a standardized notation and terminology in multiway analysis J. Chemometr. 14 2000 105 122
    • (2000) J. Chemometr. , vol.14 , pp. 105-122
    • Kiers, H.A.L.1
  • 22
    • 0002182408 scopus 로고
    • Cross-sectional approach for clustering time varying data
    • K. Košmelj, and V. Batagelj Cross-sectional approach for clustering time varying data J. Classification 7 1990 99 109
    • (1990) J. Classification , vol.7 , pp. 99-109
    • Košmelj, K.1    Batagelj, V.2
  • 23
    • 0141840632 scopus 로고    scopus 로고
    • Information energy and information temperature for molecular systems
    • C. Lepǎdatu, and E. Nitulescu Information energy and information temperature for molecular systems Acta Chim. Slov. 50 2003 539 546
    • (2003) Acta Chim. Slov. , vol.50 , pp. 539-546
    • Lepǎdatu, C.1    Nitulescu, E.2
  • 25
    • 0000309136 scopus 로고    scopus 로고
    • Gaussian clustering method based on maximum-fuzzy-entropy interpretation
    • R. Li, and M. Mukaidono Gaussian clustering method based on maximum-fuzzy-entropy interpretation Fuzzy sets and Systems 102 1999 253 258
    • (1999) Fuzzy Sets and Systems , vol.102 , pp. 253-258
    • Li, R.1    Mukaidono, M.2
  • 26
    • 0037118558 scopus 로고    scopus 로고
    • Extreme physical information and objective function in fuzzy clustering
    • M. Ménard, and M. Eboueya Extreme physical information and objective function in fuzzy clustering Fuzzy Sets and Systems 128 2002 285 303
    • (2002) Fuzzy Sets and Systems , vol.128 , pp. 285-303
    • Ménard, M.1    Eboueya, M.2
  • 27
    • 0037410622 scopus 로고    scopus 로고
    • Possibilistic and probabilistic fuzzy clustering: Unification within the framework of the non-extensive thermostatistics
    • M. Ménard, V. Courboulay, and P.A. Dardignac Possibilistic and probabilistic fuzzy clustering: unification within the framework of the non-extensive thermostatistics Pattern Recognition 36 2003 1325 1342
    • (2003) Pattern Recognition , vol.36 , pp. 1325-1342
    • Ménard, M.1    Courboulay, V.2    Dardignac, P.A.3
  • 28
    • 27744553512 scopus 로고    scopus 로고
    • Non-extensive thermostatistics and extreme physical information for fuzzy clustering
    • M. Ménard, P.A. Dardignac, and C.C. Chibelushi Non-extensive thermostatistics and extreme physical information for fuzzy clustering Internat. J. Comput. Cognition 2 4 2004 1 63
    • (2004) Internat. J. Comput. Cognition , vol.2 , Issue.4 , pp. 1-63
    • Ménard, M.1    Dardignac, P.A.2    Chibelushi, C.C.3
  • 30
    • 23944481898 scopus 로고    scopus 로고
    • Fuzzy c-means with variables for cluster sizes
    • Akita, Sept. 6-8 2000 (in Japanese)
    • Miyamoto, S., Umayahara, K., 2000. Fuzzy c-means with variables for cluster sizes, 16th Fuzzy System Symposium, Akita, Sept. 6-8 2000, 537-538 (in Japanese).
    • (2000) 16th Fuzzy System Symposium , pp. 537-538
    • Miyamoto, S.1    Umayahara, K.2
  • 31
    • 26844552222 scopus 로고    scopus 로고
    • Fuzzy c-means and mixture distribution models in the presence of noise clusters
    • S. Miyamoto, and A.C. Alanzado Fuzzy c-means and mixture distribution models in the presence of noise clusters Internat. J. Image Graphics 2 4 2002 573 586
    • (2002) Internat. J. Image Graphics , vol.2 , Issue.4 , pp. 573-586
    • Miyamoto, S.1    Alanzado, A.C.2
  • 33
    • 0041371907 scopus 로고
    • Théorie de l'Information
    • Paris, C.R. Acad. Sci.
    • Onicescu, O., 1966. Théorie de l'Information. Energie Informationnelle, Paris, C.R. Acad. Sci., Tome 263.
    • (1966) Energie Informationnelle , vol.263
    • Onicescu, O.1
  • 36
    • 0025585402 scopus 로고
    • A deterministic annealing approach to clustering
    • K. Rose, E. Gurewitz, and G. Fox A deterministic annealing approach to clustering Pattern Recognition Lett. 11 1990 589 594
    • (1990) Pattern Recognition Lett. , vol.11 , pp. 589-594
    • Rose, K.1    Gurewitz, E.2    Fox, G.3
  • 38
    • 33344464667 scopus 로고
    • Measurement of diversity
    • E. Simpson Measurement of diversity Nature 163 1949 688
    • (1949) Nature , vol.163 , pp. 688
    • Simpson, E.1
  • 39
    • 0008582861 scopus 로고    scopus 로고
    • Entropy-based fuzzy clustering and fuzzy modeling
    • J. Yao, M. Dash, S.T. Tan, and H. Liu Entropy-based fuzzy clustering and fuzzy modeling Fuzzy Sets and Systems 113 2000 381 388
    • (2000) Fuzzy Sets and Systems , vol.113 , pp. 381-388
    • Yao, J.1    Dash, M.2    Tan, S.T.3    Liu, H.4
  • 40
    • 0015558134 scopus 로고
    • Outline of a new approach to the analysis of complex systems and decision processes
    • L.A. Zadeh Outline of a new approach to the analysis of complex systems and decision processes IEEE Trans. Systems Man Cybern. 3 1973 28 44
    • (1973) IEEE Trans. Systems Man Cybern. , vol.3 , pp. 28-44
    • Zadeh, L.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.