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

Citations

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Cited by:

  1. Yoshio Takane & Forrest Young & Jan Leeuw, 1977. "Nonmetric individual differences multidimensional scaling: An alternating least squares method with optimal scaling features," Psychometrika, Springer;The Psychometric Society, vol. 42(1), pages 7-67, March.
  2. Yoshio Takane, 1987. "Analysis of contingency tables by ideal point discriminant analysis," Psychometrika, Springer;The Psychometric Society, vol. 52(4), pages 493-513, December.
  3. 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.
  4. Carolyn Anderson, 1996. "The analysis of three-way contingency tables by three-mode association models," Psychometrika, Springer;The Psychometric Society, vol. 61(3), pages 465-483, September.
  5. 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.
  6. 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.
  7. 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.
  8. 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.
  9. Berrie Zielman & Willem Heiser, 1993. "Analysis of asymmetry by a slide-vector," Psychometrika, Springer;The Psychometric Society, vol. 58(1), pages 101-114, March.
  10. 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.
  11. 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.
  12. 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.
  13. 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.
  14. Avdjiev, S. & Giudici, P. & Spelta, A., 2019. "Measuring contagion risk in international banking," Journal of Financial Stability, Elsevier, vol. 42(C), pages 36-51.
  15. Qi, Geqi & Ceder, Avishai (Avi) & Zhang, Zixian & Guan, Wei & Liu, Dongfusheng, 2021. "New method for predicting long-term travel time of commercial vehicles to improve policy-making processes," Transportation Research Part A: Policy and Practice, Elsevier, vol. 145(C), pages 132-152.
  16. 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.
  17. Ory, David T & Mokhtarian, Patricia L, 2007. "Exploring the Cognitive and Affective Mechanisms Behind Subjective Assessments of Travel Amounts," University of California Transportation Center, Working Papers qt6314g8dp, University of California Transportation Center.
  18. Jos Berge, 2000. "The typical rank of tall three-way arrays," Psychometrika, Springer;The Psychometric Society, vol. 65(4), pages 525-532, December.
  19. Husson, F. & Pages, J., 2006. "INDSCAL model: geometrical interpretation and methodology," Computational Statistics & Data Analysis, Elsevier, vol. 50(2), pages 358-378, January.
  20. 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.
  21. Jos Berge & Henk Kiers, 1991. "Some clarifications of the CANDECOMP algorithm applied to INDSCAL," Psychometrika, Springer;The Psychometric Society, vol. 56(2), pages 317-326, June.
  22. Giuseppe Bove & Akinori Okada, 2018. "Methods for the analysis of asymmetric pairwise relationships," Advances in Data Analysis and Classification, Springer;German Classification Society - Gesellschaft für Klassifikation (GfKl);Japanese Classification Society (JCS);Classification and Data Analysis Group of the Italian Statistical Society (CLADAG);International Federation of Classification Societies (IFCS), vol. 12(1), pages 5-31, March.
  23. 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.
  24. Dawn Iacobucci & Doug Grisaffe & Wayne DeSarbo, 2017. "Statistical perceptual maps: using confidence region ellipses to enhance the interpretations of brand positions in multidimensional scaling," Journal of Marketing Analytics, Palgrave Macmillan, vol. 5(3), pages 81-98, December.
  25. Ingwer Borg & Dieter Hermann & Wolfgang Bilsky, 2023. "The perceived seriousness of crimes: inter-individual commonalities and differences," Quality & Quantity: International Journal of Methodology, Springer, vol. 57(1), pages 765-784, February.
  26. Willem Heiser, 2013. "In memoriam, J. Douglas Carroll 1939–2011," Psychometrika, Springer;The Psychometric Society, vol. 78(1), pages 5-13, January.
  27. Monica Billio & Roberto Casarin & Matteo Iacopini, 2018. "Bayesian Markov Switching Tensor Regression for Time-varying Networks," Working Papers 2018:14, Department of Economics, University of Venice "Ca' Foscari".
  28. A. Collins, 1992. "Matching configurations," Journal of Classification, Springer;The Classification Society, vol. 9(1), pages 173-175, January.
  29. Pieter C. Schoonees & Patrick J. F. Groenen & Michel Velden, 2022. "Least-squares bilinear clustering of three-way data," Advances in Data Analysis and Classification, Springer;German Classification Society - Gesellschaft für Klassifikation (GfKl);Japanese Classification Society (JCS);Classification and Data Analysis Group of the Italian Statistical Society (CLADAG);International Federation of Classification Societies (IFCS), vol. 16(4), pages 1001-1037, December.
  30. Stephen L. France & Wen Chen & Yumin Deng, 2017. "ADCLUS and INDCLUS: analysis, experimentation, and meta-heuristic algorithm extensions," Advances in Data Analysis and Classification, Springer;German Classification Society - Gesellschaft für Klassifikation (GfKl);Japanese Classification Society (JCS);Classification and Data Analysis Group of the Italian Statistical Society (CLADAG);International Federation of Classification Societies (IFCS), vol. 11(2), pages 371-393, June.
  31. 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.
  32. Geert Soete & J. Carroll & Anil Chaturvedi, 1993. "A modified CANDECOMP method for fitting the extended INDSCAL model," Journal of Classification, Springer;The Classification Society, vol. 10(1), pages 75-92, January.
  33. 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.
  34. 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).
  35. Giudici, Paolo & Huang, Bihong & Spelta, Alessandro, 2018. "Trade Networks and Economic Fluctuations in Asia," ADBI Working Papers 832, Asian Development Bank Institute.
  36. Laura Bocci & Maurizio Vichi, 2011. "The K-INDSCAL Model for Heterogeneous Three-Way Dissimilarity Data," Psychometrika, Springer;The Psychometric Society, vol. 76(4), pages 691-714, October.
  37. 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.
  38. 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.
  39. Han Zhong & Geqi Qi & Wei Guan & Xiaochen Hua, 2019. "Application of Nonnegative Tensor Factorization for Intercity Rail–Air Transport Supply Configuration Pattern Recognition," Sustainability, MDPI, vol. 11(6), pages 1-19, March.
  40. W. Alan Nicewander & Joseph Lee Rodgers, 2022. "Obituary: Bruce McArthur Bloxom 1938–2020," Psychometrika, Springer;The Psychometric Society, vol. 87(3), pages 1042-1044, September.
  41. Peter Schönemann, 1970. "On metric multidimensional unfolding," Psychometrika, Springer;The Psychometric Society, vol. 35(3), pages 349-366, September.
  42. de Leeuw, Jan & Mair, Patrick, 2009. "Multidimensional Scaling Using Majorization: SMACOF in R," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 31(i03).
  43. 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.
  44. 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.
  45. Henk Kiers, 1989. "An alternating least squares algorithm for fitting the two- and three-way dedicom model and the idioscal model," Psychometrika, Springer;The Psychometric Society, vol. 54(3), pages 515-521, September.
  46. 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.
  47. Lawrence Hubert, 1979. "Generalized concordance," Psychometrika, Springer;The Psychometric Society, vol. 44(2), pages 135-142, June.
  48. Andrii Babii & Eric Ghysels & Junsu Pan, 2022. "Tensor Principal Component Analysis," Papers 2212.12981, arXiv.org, revised Aug 2023.
  49. 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.
  50. 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.
  51. Jingu Kim & Yunlong He & Haesun Park, 2014. "Algorithms for nonnegative matrix and tensor factorizations: a unified view based on block coordinate descent framework," Journal of Global Optimization, Springer, vol. 58(2), pages 285-319, February.
  52. Serrano Cinca, C. & Mar Molinero, C. & Gallizo Larraz, J.L., 2005. "Country and size effects in financial ratios: A European perspective," Global Finance Journal, Elsevier, vol. 16(1), pages 26-47, August.
  53. 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.
  54. 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.
  55. Henk Kiers, 1991. "Hierarchical relations among three-way methods," Psychometrika, Springer;The Psychometric Society, vol. 56(3), pages 449-470, September.
  56. 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.
  57. 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.
  58. Pacifico, Antonio, 2020. "Bayesian Fuzzy Clustering with Robust Weighted Distance for Multiple ARIMA and Multivariate Time-Series," MPRA Paper 104379, University Library of Munich, Germany.
  59. Giuseppe Brandi & Ruggero Gramatica & Tiziana Di Matteo, 2019. "Unveil stock correlation via a new tensor-based decomposition method," Papers 1911.06126, arXiv.org, revised Apr 2020.
  60. Vivek F. Farias & Andrew A. L, 2019. "Learning Preferences with Side Information," Management Science, INFORMS, vol. 65(7), pages 3131-3149, July.
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  62. 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.
  63. Jos Berge & Henk Kiers & Jan Leeuw, 1988. "Explicit candecomp/parafac solutions for a contrived 2 × 2 × 2 array of rank three," Psychometrika, Springer;The Psychometric Society, vol. 53(4), pages 579-583, December.
  64. 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.
  65. Xuan Bi & Gediminas Adomavicius & William Li & Annie Qu, 2022. "Improving Sales Forecasting Accuracy: A Tensor Factorization Approach with Demand Awareness," INFORMS Journal on Computing, INFORMS, vol. 34(3), pages 1644-1660, May.
  66. Quan Yu & Xinzhen Zhang & Zheng-Hai Huang, 2023. "Tensor Factorization-Based Method for Tensor Completion with Spatio-temporal Characterization," Journal of Optimization Theory and Applications, Springer, vol. 199(1), pages 337-362, October.
  67. Yoshio Takane & Jan Leeuw, 1987. "On the relationship between item response theory and factor analysis of discretized variables," Psychometrika, Springer;The Psychometric Society, vol. 52(3), pages 393-408, September.
  68. 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.
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  83. 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.
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