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Volumn 18, Issue 1, 2004, Pages 12-16

Partial uniqueness in CANDECOMP/PARAFAC

Author keywords

CANDECOMP PARAFAC; Typical rank; Uniqueness

Indexed keywords

PROBABILITY DISTRIBUTIONS;

EID: 2642580865     PISSN: 08869383     EISSN: None     Source Type: Journal    
DOI: 10.1002/cem.839     Document Type: Conference Paper
Times cited : (37)

References (11)
  • 1
    • 34250499792 scopus 로고
    • Analysis of individual differences in multidimensional scaling via an N-way generalization of Eckart-Young decomposition
    • Carroll JD, Chang JJ. 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
  • 2
    • 0002740437 scopus 로고
    • Foundations of the PARAFAC procedure: Models and conditions for an 'explanatory' multi-dimode factor analysis
    • Harshman RA. Foundations of the PARAFAC procedure: models and conditions for an 'explanatory' multi-dimode factor analysis. UCLA Working Papers Phonet. 1970; 16: 1-84.
    • (1970) UCLA Working Papers Phonet , vol.16 , pp. 1-84
    • Harshman, R.A.1
  • 3
    • 0002740439 scopus 로고
    • Determination and proof of minimum uniqueness conditions for PARAFAC1
    • Harshman RA. Determination and proof of minimum uniqueness conditions for PARAFAC1. UCLA Working Papers Phonet. 1972; 22: 111-117.
    • (1972) UCLA Working Papers Phonet , vol.22 , pp. 111-117
    • Harshman, R.A.1
  • 4
    • 48749101457 scopus 로고
    • Three-way arrays: Rank and uniqueness of trilinear decompositions, with applications to arithmetic complexity and statistics
    • Kruskal JB. Three-way arrays: rank and uniqueness of trilinear decompositions, with applications to arithmetic complexity and statistics. Linear Algebra Appl. 1977; 18: 95-138.
    • (1977) Linear Algebra Appl. , vol.18 , pp. 95-138
    • Kruskal, J.B.1
  • 5
    • 0002258223 scopus 로고
    • The PARAFAC model for three-way factor analysis and multidimensional scaling
    • Law HG, Snyder CW, Hattie JA, McDonald RP (eds). Praeger: New York
    • Harshman RA, Lundy ME. The PARAFAC model for three-way factor analysis and multidimensional scaling. In Research Methods for Multimode Data Analysis, Law HG, Snyder CW, Hattie JA, McDonald RP (eds). Praeger: New York, 1984; 122-215.
    • (1984) Research Methods for Multimode Data Analysis , pp. 122-215
    • Harshman, R.A.1    Lundy, M.E.2
  • 6
    • 0033653594 scopus 로고    scopus 로고
    • On the uniqueness of multilinear decomposition of N-way arrays
    • Sidiropoulos ND, Bro R. On the uniqueness of multilinear decomposition of N-way arrays. J. Chemometrics 2000; 14: 229-239.
    • (2000) J. Chemometrics , vol.14 , pp. 229-239
    • Sidiropoulos, N.D.1    Bro, R.2
  • 8
    • 0041595584 scopus 로고    scopus 로고
    • Simplicity of core arrays in three-way principal component analysis and the typical rank of P × Q × 2 arrays
    • Ten Berge JMF, Kiers HAL. Simplicity of core arrays in three-way principal component analysis and the typical rank of P × Q × 2 arrays. Linear Algebra Appl. 1999; 294: 169-179.
    • (1999) Linear Algebra Appl. , vol.294 , pp. 169-179
    • Ten Berge, J.M.F.1    Kiers, H.A.L.2
  • 9
    • 0034559666 scopus 로고    scopus 로고
    • The typical rank of tall three-way arrays
    • Ten Berge JMF. The typical rank of tall three-way arrays. Psychometrika 2000; 65: 525-532.
    • (2000) Psychometrika , vol.65 , pp. 525-532
    • Ten Berge, J.M.F.1
  • 10
    • 0001837391 scopus 로고
    • Rank, decomposition, and uniqueness for 3-way and N-way arrays
    • Coppi R, Bolasco S (eds). Elsevier: Amsterdam
    • Kruskal JB. Rank, decomposition, and uniqueness for 3-way and N-way arrays. In Multiway Data Analysis, Coppi R, Bolasco S (eds). Elsevier: Amsterdam, 1989; 8-18.
    • (1989) Multiway Data Analysis , pp. 8-18
    • Kruskal, J.B.1
  • 11
    • 0343939679 scopus 로고
    • How can I know if it's real? A catalog of diagnostics for use with three-mode factor analysis and multidimensional scaling
    • Law HG, Snyder CW, Hattie JA, McDonald RP (eds). Praeger: New York
    • Harshman RA. How can I know if it's real? A catalog of diagnostics for use with three-mode factor analysis and multidimensional scaling. In Research Methods for Multimode Data Analysis, Law HG, Snyder CW, Hattie JA, McDonald RP (eds). Praeger: New York, 1984; 566-591.
    • (1984) Research Methods for Multimode Data Analysis , pp. 566-591
    • Harshman, R.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.