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Principal Component Analysis of Three-Mode Data by Means of Alternating Least Squares Algorithms
Open accessAbstract
A new method to estimate the parameters of Tucker’s three-mode principal component model is discussed, and the convergence properties of the alternating least squares algorithm to solve the estimation problem are considered. A special case of the general Tucker model, in which the principal component analysis is only performed over two of the three modes is briefly outlined as well. The Miller & Nicely data on the confusion of English consonants are used to illustrate the programs TUCKALS3 and TUCKALS2 which incorporate the algorithms for the two models described.
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Cited by
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Multilinear Analysis of Image Ensembles: TensorFaces
Vasilescu, M. A. O., & Terzopoulos, D. (2002) · Lecture Notes in Computer Science · doi:10.1007/3-540-47969-4_30 · Cited by 836
TuckER: Tensor Factorization for Knowledge Graph Completion
Balazevic, I., Allen, C., & Hospedales, T. (2019) · Proceedings of the 2019 Conference on Empirical Methods in Natural Language Processing and the 9th International Joint Conference on Natural Language Processing (EMNLP-IJCNLP) · doi:10.18653/v1/d19-1522 · Cited by 696
Incremental tensor analysis: Theory and applications
Sun, J., Tao, D., Papadimitriou, S., Yu, P. S., & Faloutsos, C. (2008) · ACM Transactions on Knowledge Discovery from Data · doi:10.1145/1409620.1409621 · Cited by 254
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Metadata
- Authors
- Kroonenberg, P. M., & de Leeuw, J.
- Venue
- Psychometrika
- Publisher
- Cambridge University Press (CUP)
- Published
- 1980-03
- Volume
- 45
- Issue
- 1
- Pages
- 69-97
- ISSN
- 0033-3123 (ISSN-L)
- 1860-0980
- OpenAlex
- W1991042426
- Cited by
- 724
- References
- 0
- FWCI
- 2.06
- Type
- journal article
- Language
- en
- Open access
- green
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- Kroonenberg, P. M., & de Leeuw, J. (1980). Principal Component Analysis of Three-Mode Data by Means of Alternating Least Squares Algorithms. Psychometrika. https://doi.org/10.1007/bf02293599
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