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Analysis of individual differences in multidimensional scaling via an n-way generalization of “Eckart-Young” decomposition

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Cited by:

  1. Yoshio Takane, 1987. "Analysis of contingency tables by ideal point discriminant analysis," Psychometrika, Springer;The Psychometric Society, vol. 52(4), pages 493-513, December.
  2. Roberto Rocci & Jos Berge, 1994. "A simplification of a result by zellini on the maximal rank of symmetric three-way arrays," Psychometrika, Springer;The Psychometric Society, vol. 59(3), pages 377-380, September.
  3. Abe, Makoto, 1998. "Error structure and identification condition in maximum likelihood nonmetric multidimensional scaling," European Journal of Operational Research, Elsevier, vol. 111(2), pages 216-227, December.
  4. Maolin Che & Juefei Chen & Yimin Wei, 2022. "Perturbations of the Tcur Decomposition for Tensor Valued Data in the Tucker Format," Journal of Optimization Theory and Applications, Springer, vol. 194(3), pages 852-877, September.
  5. Albers, Casper J. & Gower, John C., 2014. "A contribution to the visualisation of three-way arrays," Journal of Multivariate Analysis, Elsevier, vol. 132(C), pages 1-8.
  6. Alwin Stegeman & Jos Berge & Lieven Lathauwer, 2006. "Sufficient conditions for uniqueness in Candecomp/Parafac and Indscal with random component matrices," Psychometrika, Springer;The Psychometric Society, vol. 71(2), pages 219-229, June.
  7. Laura Bocci & Donatella Vicari, 2019. "ROOTCLUS: Searching for “ROOT CLUSters” in Three-Way Proximity Data," Psychometrika, Springer;The Psychometric Society, vol. 84(4), pages 941-985, December.
  8. Mariela González-Narváez & María José Fernández-Gómez & Susana Mendes & José-Luis Molina & Omar Ruiz-Barzola & Purificación Galindo-Villardón, 2021. "Study of Temporal Variations in Species–Environment Association through an Innovative Multivariate Method: MixSTATICO," Sustainability, MDPI, vol. 13(11), pages 1-25, May.
  9. Tomasi, Giorgio & Bro, Rasmus, 2006. "A comparison of algorithms for fitting the PARAFAC model," Computational Statistics & Data Analysis, Elsevier, vol. 50(7), pages 1700-1734, April.
  10. Richard Harshman & Margaret Lundy, 1996. "Uniqueness proof for a family of models sharing features of Tucker's three-mode factor analysis and PARAFAC/candecomp," Psychometrika, Springer;The Psychometric Society, vol. 61(1), pages 133-154, March.
  11. Mark de Rooij, 2008. "The analysis of change, Newton's law of gravity and association models," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 171(1), pages 137-157, January.
  12. Jos Berge, 2000. "The typical rank of tall three-way arrays," Psychometrika, Springer;The Psychometric Society, vol. 65(4), pages 525-532, December.
  13. Will Wei Sun & Junwei Lu & Han Liu & Guang Cheng, 2017. "Provable sparse tensor decomposition," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 79(3), pages 899-916, June.
  14. S. Hess & E. Suárez & J. Camacho & G. Ramírez & B. Hernández, 2001. "Reliability of Coordinates Obtained by MINISSA Concerning the Order of Presented Stimuli," Quality & Quantity: International Journal of Methodology, Springer, vol. 35(2), pages 117-128, May.
  15. Monica Billio & Roberto Casarin & Matteo Iacopini, 2024. "Bayesian Markov-Switching Tensor Regression for Time-Varying Networks," Journal of the American Statistical Association, Taylor & Francis Journals, vol. 119(545), pages 109-121, January.
  16. A. Collins, 1992. "Matching configurations," Journal of Classification, Springer;The Classification Society, vol. 9(1), pages 173-175, January.
  17. Richard Sands & Forrest Young, 1980. "Component models for three-way data: An alternating least squares algorithm with optimal scaling features," Psychometrika, Springer;The Psychometric Society, vol. 45(1), pages 39-67, March.
  18. Kamel Jedidi & Wayne DeSarbo, 1991. "A stochastic multidimensional scaling procedure for the spatial representation of three-mode, three-way pick any/J data," Psychometrika, Springer;The Psychometric Society, vol. 56(3), pages 471-494, September.
  19. Syed, Fahad Iqbal & Muther, Temoor & Dahaghi, Amirmasoud Kalantari & Negahban, Shahin, 2022. "Low-Rank Tensors Applications for Dimensionality Reduction of Complex Hydrocarbon Reservoirs," Energy, Elsevier, vol. 244(PA).
  20. Avdjiev, S. & Giudici, P. & Spelta, A., 2019. "Measuring contagion risk in international banking," Journal of Financial Stability, Elsevier, vol. 42(C), pages 36-51.
  21. Wedel, M. & Bijmolt, T.H.A., 1998. "Mixed Tree and Spatial Representation of Dissimilarity Judgments," Discussion Paper 1998-109, Tilburg University, Center for Economic Research.
  22. Paul Dickes & Marie Valentova & Monique Borsenberger, 2010. "Construct Validation and Application of a Common Measure of Social Cohesion in 33 European Countries," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 98(3), pages 451-473, September.
  23. Peter Schönemann, 1970. "On metric multidimensional unfolding," Psychometrika, Springer;The Psychometric Society, vol. 35(3), pages 349-366, September.
  24. Jámbor, Attila & Kovács, Sándor & Somai, Miklós, 2016. "Tíz év az Európai Unióban - az új tagországok agrárteljesítményei [A decade in the EU: the agricultural performances of the new member-states]," Közgazdasági Szemle (Economic Review - monthly of the Hungarian Academy of Sciences), Közgazdasági Szemle Alapítvány (Economic Review Foundation), vol. 0(3), pages 260-284.
  25. Michel Velden & Tammo Bijmolt, 2006. "Generalized canonical correlation analysis of matrices with missing rows: a simulation study," Psychometrika, Springer;The Psychometric Society, vol. 71(2), pages 323-331, June.
  26. Vladimir Kazeev & Mustafa Khammash & Michael Nip & Christoph Schwab, 2014. "Direct Solution of the Chemical Master Equation Using Quantized Tensor Trains," PLOS Computational Biology, Public Library of Science, vol. 10(3), pages 1-19, March.
  27. Andrii Babii & Eric Ghysels & Junsu Pan, 2022. "Tensor Principal Component Analysis," Papers 2212.12981, arXiv.org, revised Aug 2023.
  28. John C. Gower & Niël J. Le Roux & Sugnet Gardner-Lubbe, 2022. "Properties of individual differences scaling and its interpretation," Statistical Papers, Springer, vol. 63(4), pages 1221-1245, August.
  29. Matheus Pereira Libório & Oseias da Silva Martinuci & Alexei Manso Correa Machado & Renata de Mello Lyrio & Patrícia Bernardes, 2022. "Time–Space Analysis of Multidimensional Phenomena: A Composite Indicator of Social Exclusion Through k-Means," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 159(2), pages 569-591, January.
  30. Nijkamp, P. & Soffer, A., 1979. "Soft multicriteria decision models for urban renewal plans," Serie Research Memoranda 0005, VU University Amsterdam, Faculty of Economics, Business Administration and Econometrics.
  31. Köhn, Hans-Friedrich, 2010. "Representation of individual differences in rectangular proximity data through anti-Q matrix decomposition," Computational Statistics & Data Analysis, Elsevier, vol. 54(10), pages 2343-2357, October.
  32. Henk Kiers, 1991. "Hierarchical relations among three-way methods," Psychometrika, Springer;The Psychometric Society, vol. 56(3), pages 449-470, September.
  33. Henk Kiers, 1997. "A modification of the SINDCLUS algorithm for fitting the ADCLUS and INDCLUS models," Journal of Classification, Springer;The Classification Society, vol. 14(2), pages 297-310, September.
  34. Laurent Sorber & Ignat Domanov & Marc Barel & Lieven Lathauwer, 2016. "Exact line and plane search for tensor optimization," Computational Optimization and Applications, Springer, vol. 63(1), pages 121-142, January.
  35. Vivek F. Farias & Andrew A. L, 2019. "Learning Preferences with Side Information," Management Science, INFORMS, vol. 65(7), pages 3131-3149, July.
  36. Henk Kiers & Yoshio Takane, 1994. "A generalization of GIPSCAL for the analysis of nonsymmetric data," Journal of Classification, Springer;The Classification Society, vol. 11(1), pages 79-99, March.
  37. Paul Dickes & Alessio Fusco & Eric Marlier, 2010. "Structure of National Perceptions of Social Needs Across EU Countries," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 95(1), pages 143-167, January.
  38. Paolo Giordani & Roberto Rocci & Giuseppe Bove, 2020. "Factor Uniqueness of the Structural Parafac Model," Psychometrika, Springer;The Psychometric Society, vol. 85(3), pages 555-574, September.
  39. Michailidis, George & de Leeuw, Jan, 2000. "Multilevel homogeneity analysis with differential weighting," Computational Statistics & Data Analysis, Elsevier, vol. 32(3-4), pages 411-442, January.
  40. Alwin Stegeman & Tam Lam, 2014. "Three-Mode Factor Analysis by Means of Candecomp/Parafac," Psychometrika, Springer;The Psychometric Society, vol. 79(3), pages 426-443, July.
  41. Willem Kloot & Pieter Kroonenberg, 1985. "External analysis with three-mode principal component models," Psychometrika, Springer;The Psychometric Society, vol. 50(4), pages 479-494, December.
  42. Ji Yeh Choi & Heungsun Hwang & Marieke E. Timmerman, 2018. "Functional Parallel Factor Analysis for Functions of One- and Two-dimensional Arguments," Psychometrika, Springer;The Psychometric Society, vol. 83(1), pages 1-20, March.
  43. Jacqueline Meulman & Peter Verboon, 1993. "Points of view analysis revisited: Fitting multidimensional structures to optimal distance components with cluster restrictions on the variables," Psychometrika, Springer;The Psychometric Society, vol. 58(1), pages 7-35, March.
  44. Suzanne Winsberg & Geert Soete, 1993. "A latent class approach to fitting the weighted Euclidean model, clascal," Psychometrika, Springer;The Psychometric Society, vol. 58(2), pages 315-330, June.
  45. Kohn, Hans-Friedrich, 2006. "Combinatorial individual differences scaling within the city-block metric," Computational Statistics & Data Analysis, Elsevier, vol. 51(2), pages 931-946, November.
  46. Charles M. Judd, 1978. "Cognitive Effects of Attitude Conflict Resolution," Journal of Conflict Resolution, Peace Science Society (International), vol. 22(3), pages 483-498, September.
  47. Minghui Ding & Yimin Wei & Pengpeng Xie, 2023. "A Randomized Singular Value Decomposition for Third-Order Oriented Tensors," Journal of Optimization Theory and Applications, Springer, vol. 197(1), pages 358-382, April.
  48. Pietro Amenta & Antonio Lucadamo & Antonello D’Ambra, 2019. "Customer satisfaction evaluation by common component and specific weight analysis using a mixed coding system," Quality & Quantity: International Journal of Methodology, Springer, vol. 53(5), pages 2491-2505, September.
  49. Eva Ceulemans & Iven Mechelen, 2004. "Tucker2 hierarchical classes analysis," Psychometrika, Springer;The Psychometric Society, vol. 69(3), pages 375-399, September.
  50. Sagarra, Marti & Mar-Molinero, Cecilio & Agasisti, Tommaso, 2017. "Exploring the efficiency of Mexican universities: Integrating Data Envelopment Analysis and Multidimensional Scaling," Omega, Elsevier, vol. 67(C), pages 123-133.
  51. Qingsong Wang & Chunfeng Cui & Deren Han, 2023. "Accelerated Doubly Stochastic Gradient Descent for Tensor CP Decomposition," Journal of Optimization Theory and Applications, Springer, vol. 197(2), pages 665-704, May.
  52. Piet Brouwer & Pieter Kroonenberg, 1991. "Some notes on the diagonalization of the extended three-mode core matrix," Journal of Classification, Springer;The Classification Society, vol. 8(1), pages 93-98, January.
  53. Robert MacCallum, 1977. "Effects of conditionality on INDSCAL and ALSCAL weights," Psychometrika, Springer;The Psychometric Society, vol. 42(2), pages 297-305, June.
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  55. Rungang Han & Yuetian Luo & Miaoyan Wang & Anru R. Zhang, 2022. "Exact clustering in tensor block model: Statistical optimality and computational limit," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 84(5), pages 1666-1698, November.
  56. Jos Berge & Henk Kiers, 1996. "Some uniqueness results for PARAFAC2," Psychometrika, Springer;The Psychometric Society, vol. 61(1), pages 123-132, March.
  57. Pietro Amenta & Antonio Lucadamo & Antonello D’Ambra, 2021. "Restricted Common Component and Specific Weight Analysis: A Constrained Explorative Approach for the Customer Satisfaction Evaluation," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 156(2), pages 409-427, August.
  58. Maximilian Matthe & Daniel M. Ringel & Bernd Skiera, 2023. "Mapping Market Structure Evolution," Marketing Science, INFORMS, vol. 42(3), pages 589-613, May.
  59. Carl Finkbeiner & Roger Blashfield & Roberta Isleib, 1984. "Book reviews," Journal of Classification, Springer;The Classification Society, vol. 1(1), pages 133-138, December.
  60. Henk Kiers, 1991. "Simple structure in component analysis techniques for mixtures of qualitative and quantitative variables," Psychometrika, Springer;The Psychometric Society, vol. 56(2), pages 197-212, June.
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