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Volumn 50, Issue 1 SPEC. ISS., 2006, Pages 210-220

Kruskal's condition for uniqueness in Candecomp/Parafac when ranks and k-ranks coincide

Author keywords

Candecomp; k rank; Parafac; Three way arrays; Uniqueness

Indexed keywords

COMPUTATIONAL METHODS; MATRIX ALGEBRA;

EID: 24644469120     PISSN: 01679473     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.csda.2004.07.015     Document Type: Article
Times cited : (9)

References (11)
  • 1
    • 34250499792 scopus 로고
    • Analysis of individual differences in multidimensional scaling via an n-way generalization of Eckart-Young decomposition
    • J.D. Carroll, and J.J. Chang Analysis of individual differences in multidimensional scaling via an n-way generalization of Eckart-Young decomposition Psychometrika 35 1970 283 319
    • (1970) Psychometrika , vol.35 , pp. 283-319
    • Carroll, J.D.1    Chang, J.J.2
  • 3
    • 0002740437 scopus 로고
    • Foundations of the Parafac procedure: Models and conditions for an "explanatory" multimodal factor analysis
    • R.L. Harshman Foundations of the Parafac procedure models and conditions for an "explanatory" multimodal factor analysis UCLA Work. Pap. Phonetics 16 1970 1 84
    • (1970) UCLA Work. Pap. Phonetics , vol.16 , pp. 1-84
    • Harshman, R.L.1
  • 4
    • 0002740439 scopus 로고
    • Determination and proof of minimum uniqueness conditions for Parafac-1
    • R.L. Harshman Determination and proof of minimum uniqueness conditions for Parafac-1 UCLA Work. Pap. Phonetics 22 1972 111 117
    • (1972) UCLA Work. Pap. Phonetics , vol.22 , pp. 111-117
    • Harshman, R.L.1
  • 5
    • 0002258223 scopus 로고
    • The PARAFAC model for three-way factor analysis and multidimensional scaling
    • H.G. Law C.W. Snyder J.A. Hattie R.P. McDonald Praeger New York
    • R.A. Harshman, and M.E. Lundy The PARAFAC model for three-way factor analysis and multidimensional scaling H.G. Law C.W. Snyder J.A. Hattie R.P. McDonald Research Methods for Multimode Data Analysis 1984 Praeger New York 122 215
    • (1984) Research Methods for Multimode Data Analysis , pp. 122-215
    • Harshman, R.A.1    Lundy, M.E.2
  • 6
    • 4344616103 scopus 로고    scopus 로고
    • Kruskal's permutation lemma and the identification of Candecomp/Parafac and bilinear models with constant modulus constraints
    • Jiang, T., Sidiropoulos, N.D., 2004. Kruskal's permutation lemma and the identification of Candecomp/Parafac and bilinear models with constant modulus constraints. IEEE Trans. Signal Process. 52, 2625-2636.
    • (2004) IEEE Trans. Signal Process. , vol.52 , pp. 2625-2636
    • Jiang, T.1    Sidiropoulos, N.D.2
  • 7
    • 48749101457 scopus 로고
    • Three-way arrays: Rank and uniqueness of trilinear decompositions, with applications to arithmetic complexity and statistics
    • J.B. Kruskal Three-way arrays rank and uniqueness of trilinear decompositions, with applications to arithmetic complexity and statistics Linear Algebra Appl. 18 1977 95 138
    • (1977) Linear Algebra Appl. , vol.18 , pp. 95-138
    • Kruskal, J.B.1
  • 8
    • 0035447407 scopus 로고    scopus 로고
    • Cramer-Rao lower bounds for low-rank decomposition of multidimensional arrays
    • X. Liu, and N.D. Sidiropoulos Cramer-Rao lower bounds for low-rank decomposition of multidimensional arrays IEEE Trans. Signal Process. 49 2001 2074 2086
    • (2001) IEEE Trans. Signal Process. , vol.49 , pp. 2074-2086
    • Liu, X.1    Sidiropoulos, N.D.2
  • 9
    • 2642580865 scopus 로고    scopus 로고
    • Partial uniqueness in Candecomp/Parafac
    • Ten Berge, J.M.F., 2004. Partial uniqueness in Candecomp/Parafac. J. Chemometr. 18, 12-16.
    • (2004) J. Chemometr. , vol.18 , pp. 12-16
    • Ten Berge, J.M.F.1
  • 11
    • 3142774353 scopus 로고    scopus 로고
    • Typical rank and Indscal dimensionality for symmetric three-way arrays of order i × 2 × 2 or i × 3 × 3
    • Ten Berge, J.M.F., Sidiropoulos, N.D., Rocci, R., 2004. Typical rank and Indscal dimensionality for symmetric three-way arrays of order I × 2 × 2 or I × 3 × 3. Linear Algebra Appl. 388, 363-377.
    • (2004) Linear Algebra Appl. , vol.388 , pp. 363-377
    • Ten Berge, J.M.F.1    Sidiropoulos, N.D.2    Rocci, R.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.