메뉴 건너뛰기




Volumn 71, Issue 2, 2006, Pages 219-229

Sufficient conditions for uniqueness in Candecomp/Parafac and indscal with random component matrices

Author keywords

Candecomp; Indscal; Parafac; Three way arrays; Uniqueness

Indexed keywords


EID: 33746359652     PISSN: 00333123     EISSN: None     Source Type: Journal    
DOI: 10.1007/11336-006-1278-2     Document Type: Article
Times cited : (64)

References (13)
  • 1
    • 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. (1970). Analysis of individual differences in multidimensional scaling via an n-way generalization of Eckart-Young decomposition. Psychometrika, 35, 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
    • Harshman, R.A. (1970). Foundations of the Parafac procedure: Models and conditions for an "explanatory" multimodal factor analysis. UCLA Working Papers in Phonetics, 16, 1-84.
    • (1970) UCLA Working Papers in Phonetics , vol.16 , pp. 1-84
    • Harshman, R.A.1
  • 4
    • 0002740439 scopus 로고
    • Determination and proof of minimum uniqueness conditions for Parafac-1
    • Harshman, R.A. (1972). Determination and proof of minimum uniqueness conditions for Parafac-1. UCLA Working Papers in Phonetics, 22, 111-117.
    • (1972) UCLA Working Papers in Phonetics , vol.22 , pp. 111-117
    • Harshman, R.A.1
  • 5
    • 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 Transactions on Signal Processing, 52, 2625-2636.
    • (2004) IEEE Transactions on Signal Processing , vol.52 , pp. 2625-2636
    • Jiang, T.1    Sidiropoulos, N.D.2
  • 6
    • 48749101457 scopus 로고
    • Three-way arrays: Rank and uniqueness of trilinear decompositions, with applications to arithmetic complexity and statistics
    • Kruskal, J.B. (1977). Three-way arrays: Rank and uniqueness of trilinear decompositions, with applications to arithmetic complexity and statistics. Linear Algebra and its Applications, 18, 95-138.
    • (1977) Linear Algebra and Its Applications , vol.18 , pp. 95-138
    • Kruskal, J.B.1
  • 7
    • 0003052447 scopus 로고
    • How 3-MFA data can cause degenerate Parafac solutions, among other relationships
    • R. Coppi, & S. Bolasco (Eds.). Amsterdam: North-Holland
    • Kruskal, J.B., Harshman, R.A., & Lundy, M.E. (1989). How 3-MFA data can cause degenerate Parafac solutions, among other relationships. In: R. Coppi, & S. Bolasco (Eds.), Multiway data analysis (pp. 115-121). Amsterdam: North-Holland
    • (1989) Multiway Data Analysis , pp. 115-121
    • Kruskal, J.B.1    Harshman, R.A.2    Lundy, M.E.3
  • 8
    • 33746356349 scopus 로고    scopus 로고
    • A link between the canonical decomposition in multilinear algebra and simultaneous matrix diagonalization
    • to appear
    • De Lathauwer, L. (2006). A link between the canonical decomposition in multilinear algebra and simultaneous matrix diagonalization. SIAM Journal of Matrix Analysis and Application, to appear.
    • (2006) SIAM Journal of Matrix Analysis and Application
    • De Lathauwer, L.1
  • 10
    • 0033653594 scopus 로고    scopus 로고
    • On the uniqueness of multilinear decomposition of N-way arrays
    • Sidiropoulos, N.D., & Bro, R. (2000). On the uniqueness of multilinear decomposition of N-way arrays. Journal of Chemometrics, 14, 229-239.
    • (2000) Journal of Chemometrics , vol.14 , pp. 229-239
    • Sidiropoulos, N.D.1    Bro, R.2
  • 11
    • 24644469120 scopus 로고    scopus 로고
    • Kruskal's condition for uniqueness in Candecomp/Parafac when ranks and k-ranks coincide
    • Stegeman, A., & Ten Berge, J.M.F. (2006). Kruskal's condition for uniqueness in Candecomp/Parafac when ranks and k-ranks coincide. Computational Statistics and Data Analysis, 50, 210-220.
    • (2006) Computational Statistics and Data Analysis , vol.50 , pp. 210-220
    • Stegeman, A.1    Ten Berge, J.M.F.2
  • 13
    • 3142774353 scopus 로고    scopus 로고
    • Typical rank and Indscal dimensionality for symmetric three-way arrays of order 1 × 2 × 2 or 7 × 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 1 × 2 × 2 or 7 × 3 × 3. Linear Algebra and Applications, 388, 363-377.
    • (2004) Linear Algebra and Applications , 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.