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Volumn 106, Issue 1, 2011, Pages 21-26

The equivalence of Tucker3 and Parafac models with two components

Author keywords

Degeneracy; Parafac model; Rank three core array; Rank two core array; Tucker3 model; Two component models

Indexed keywords

ALGORITHM; ARTICLE; CONTROLLED STUDY; DATA ANALYSIS; PARAFAC MODEL; PARENTAL BEHAVIOR; PRIORITY JOURNAL; REGRESSION ANALYSIS; STATISTICAL MODEL; TUCKER3 MODEL;

EID: 79952441954     PISSN: 01697439     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chemolab.2010.05.022     Document Type: Article
Times cited : (11)

References (22)
  • 1
    • 0013953617 scopus 로고
    • Some mathematical notes on three-mode factor analysis
    • Tucker L.R. Some mathematical notes on three-mode factor analysis. Psychometrika 1966, 31:279-311.
    • (1966) Psychometrika , vol.31 , pp. 279-311
    • Tucker, L.R.1
  • 2
    • 0002740437 scopus 로고
    • Foundations of the parafac procedure: models and conditions for an "explanatory" multi-modal factor analysis
    • Harshman R.A. Foundations of the parafac procedure: models and conditions for an "explanatory" multi-modal factor analysis. UCLA Working Papers in Phonetics 1970, vol. 16:1-84.
    • (1970) UCLA Working Papers in Phonetics , vol.16 , pp. 1-84
    • Harshman, R.A.1
  • 3
    • 34250499792 scopus 로고
    • Analysis of individual differences in multidimensional scaling via an N-way generalization of "Eckart-Young" decomposition
    • Carroll J.D., Chang J.J. Analysis of individual differences in multidimensional scaling via an N-way generalization of "Eckart-Young" decomposition. Psychometrika 1970, 35:283-319.
    • (1970) Psychometrika , vol.35 , pp. 283-319
    • Carroll, J.D.1    Chang, J.J.2
  • 4
    • 0039899053 scopus 로고
    • Models for multidimensional matrices in econometrics and psychometrics
    • Elsevier, North-Holland, Amsterdam, R. Coppi, S. Bolasco (Eds.)
    • Wansbeek T., Verhees J. Models for multidimensional matrices in econometrics and psychometrics. Multiway data analysis 1989, 543-552. Elsevier, North-Holland, Amsterdam. R. Coppi, S. Bolasco (Eds.).
    • (1989) Multiway data analysis , pp. 543-552
    • Wansbeek, T.1    Verhees, J.2
  • 5
    • 0036746470 scopus 로고    scopus 로고
    • Transforming three-way arrays to maximal simplicity
    • Rocci R., ten Berge J.M.F. Transforming three-way arrays to maximal simplicity. Psychometrika 2002, 67:351-365.
    • (2002) Psychometrika , vol.67 , pp. 351-365
    • Rocci, R.1    ten Berge, J.M.F.2
  • 6
    • 0000020580 scopus 로고
    • Kruskal's polynomial for 2×2×2 arrays and a generalization to 2×n×n arrays
    • ten Berge J.M.F. Kruskal's polynomial for 2×2×2 arrays and a generalization to 2×n×n arrays. Psychometrika 1991, 56:631-636.
    • (1991) Psychometrika , vol.56 , pp. 631-636
    • ten Berge, J.M.F.1
  • 7
    • 0002549412 scopus 로고
    • Data preprocessing and the extended PARAFAC model
    • Praeger, New York, H.G. Law, C.W. Snyder, J.A. Hattie, R.P. McDonald (Eds.)
    • Harshman R.A., Lundy M. Data preprocessing and the extended PARAFAC model. Research Methods for Multimode Data Analysis 1984, 216-284. Praeger, New York. H.G. Law, C.W. Snyder, J.A. Hattie, R.P. McDonald (Eds.).
    • (1984) Research Methods for Multimode Data Analysis , pp. 216-284
    • Harshman, R.A.1    Lundy, M.2
  • 8
    • 79952445767 scopus 로고
    • The analysis of three-way arrays by constrained Parafac methods, Unpublished doctoral dissertation, University of Groningen, (Available from)
    • [8] W.P. Krijnen, The analysis of three-way arrays by constrained Parafac methods, Unpublished doctoral dissertation, University of Groningen, 1993. (Available from http://three-mode.leidenuniv.nl).
    • (1993) , vol.8
    • Krijnen, W.P.1
  • 9
    • 0038685059 scopus 로고    scopus 로고
    • A new efficient method for determining the number of components in PARAFAC models
    • Bro R., Kiers H.A.L. A new efficient method for determining the number of components in PARAFAC models. Journal of Chemometrics 2003, 17:274-286.
    • (2003) Journal of Chemometrics , vol.17 , pp. 274-286
    • Bro, R.1    Kiers, H.A.L.2
  • 11
    • 84865492024 scopus 로고    scopus 로고
    • The problem and nature of degenerate solutions or decompositions of 3-way arrays
    • J, Palo Alto, California
    • Harshman R.A. The problem and nature of degenerate solutions or decompositions of 3-way arrays. Presentation at the Workshop on Tensor Decompositions July 2004, Palo Alto, California.
    • (2004) Presentation at the Workshop on Tensor Decompositions
    • Harshman, R.A.1
  • 12
    • 52949104087 scopus 로고    scopus 로고
    • On the non-existence of optimal solutions and the occurrence of "degeneracy" in the CANDECOMP/PARAFAC model
    • Krijnen W.P., Dijkstra T.K., Stegeman A. On the non-existence of optimal solutions and the occurrence of "degeneracy" in the CANDECOMP/PARAFAC model. Psychometrika 2008, 73:431-439.
    • (2008) Psychometrika , vol.73 , pp. 431-439
    • Krijnen, W.P.1    Dijkstra, T.K.2    Stegeman, A.3
  • 13
    • 33751214191 scopus 로고    scopus 로고
    • Degeneracy in Candecomp/Parafac explained for p×p×2 arrays of rank p+1 or higher
    • Stegeman A. Degeneracy in Candecomp/Parafac explained for p×p×2 arrays of rank p+1 or higher. Psychometrika 2006, 71:483-501.
    • (2006) Psychometrika , vol.71 , pp. 483-501
    • Stegeman, A.1
  • 15
    • 0003323112 scopus 로고
    • Three-mode principal component analysis
    • DSWO Press, Leiden, The Netherlands, Available from
    • Kroonenberg P.M. Three-mode principal component analysis. Theory and Applications 1983, DSWO Press, Leiden, The Netherlands, Available from http://three-mode.leidenuniv.nl/.
    • (1983) Theory and Applications
    • Kroonenberg, P.M.1
  • 16
    • 84965494836 scopus 로고
    • Three-mode principal components analysis of semantic differential data: the case of a triple personality
    • Kroonenberg P.M. Three-mode principal components analysis of semantic differential data: the case of a triple personality. Applied Psychological Measurement 1985, 9:83-94.
    • (1985) Applied Psychological Measurement , vol.9 , pp. 83-94
    • Kroonenberg, P.M.1
  • 17
    • 84998398667 scopus 로고
    • Inter-battery factor analysis of parents' and children's reports of parental behaviour
    • (in Japanese)
    • Kojima H. Inter-battery factor analysis of parents' and children's reports of parental behaviour. Japanese Psychological Bulletin 1975, 17:33-48. (in Japanese).
    • (1975) Japanese Psychological Bulletin , vol.17 , pp. 33-48
    • Kojima, H.1
  • 18
    • 79952442617 scopus 로고    scopus 로고
    • Analysing three-way profile data using the Parafac and Tucker3 models illustrated with views on parenting
    • Kroonenberg P.M., Harshman R.A., Murakami T. Analysing three-way profile data using the Parafac and Tucker3 models illustrated with views on parenting. Applied Multivariate Research 2009, 13:5-41.
    • (2009) Applied Multivariate Research , vol.13 , pp. 5-41
    • Kroonenberg, P.M.1    Harshman, R.A.2    Murakami, T.3
  • 19
    • 79952448991 scopus 로고
    • Some notes on the diagonalization of the extended core matrix
    • Brouwer P., Kroonenberg P.M. Some notes on the diagonalization of the extended core matrix. Journal of Classification 1991, 8:93-98.
    • (1991) Journal of Classification , vol.8 , pp. 93-98
    • Brouwer, P.1    Kroonenberg, P.M.2
  • 20
    • 0002258223 scopus 로고
    • The parafac model for three-way factor analysis and multidimensional scaling
    • Praeger, New York, H.G. Law, C.W. Snyder, J.A. Hattie, R.P. McDonald (Eds.)
    • Harshman R.A., Lundy M. The parafac model for three-way factor analysis and multidimensional scaling. Research Methods for Multimode Data Analysis 1984, 122-215. Praeger, New York. H.G. Law, C.W. Snyder, J.A. Hattie, R.P. McDonald (Eds.).
    • (1984) Research Methods for Multimode Data Analysis , pp. 122-215
    • Harshman, R.A.1    Lundy, M.2
  • 21
    • 4544322670 scopus 로고
    • Children's reports of parental behavior: an inventory
    • Schaeffer E.S. Children's reports of parental behavior: an inventory. Child Development 1965, 56:413-424.
    • (1965) Child Development , vol.56 , pp. 413-424
    • Schaeffer, E.S.1
  • 22
    • 0033658378 scopus 로고    scopus 로고
    • Some procedures for displaying results from three-way methods
    • Kiers H.A.L. Some procedures for displaying results from three-way methods. Journal of Chemometrics 2000, 14:151-170.
    • (2000) Journal of Chemometrics , vol.14 , pp. 151-170
    • Kiers, H.A.L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.