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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 & 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. Monia Ranalli & Roberto Rocci, 2024. "Composite likelihood methods for parsimonious model-based clustering of mixed-type 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. 18(2), pages 381-407, June.
  4. Monica Billio & Roberto Casarin & Matteo Iacopini & Sylvia Kaufmann, 2023. "Bayesian Dynamic Tensor Regression," Journal of Business & Economic Statistics, Taylor & Francis Journals, vol. 41(2), pages 429-439, April.
  5. Maximilian Matthe & Daniel M. Ringel & Bernd Skiera, 2023. "Mapping Market Structure Evolution," Marketing Science, INFORMS, vol. 42(3), pages 589-613, May.
  6. 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.
  7. 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.
  8. 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.
  9. Carl Finkbeiner & Roger Blashfield & Roberta Isleib, 1984. "Book reviews," Journal of Classification, Springer;The Classification Society, vol. 1(1), pages 133-138, December.
  10. repec:jss:jstsof:34:i10 is not listed on IDEAS
  11. 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.
  12. 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.
  13. Violetta Simonacci & Michele Gallo, 2019. "Detecting Public Social Spending Patterns in Italy Using a Three-Way Relative Variation Approach," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 146(1), pages 205-219, November.
  14. 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.
  15. 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.
  16. Berrie Zielman & Willem Heiser, 1993. "Analysis of asymmetry by a slide-vector," Psychometrika, Springer;The Psychometric Society, vol. 58(1), pages 101-114, March.
  17. Cheng Peng & Stanislav Uryasev, 2023. "Factor Model of Mixtures," Papers 2301.13843, arXiv.org, revised Mar 2023.
  18. Elizabeth Hellier & Kirsteen Aldrich & Daniel B. Wright & Denny Daunt & Judy Edworthy, 2007. "A Multi Dimensional Analysis of Warning Signal Words," Journal of Risk Research, Taylor & Francis Journals, vol. 10(3), pages 323-338, April.
  19. 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.
  20. 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.
  21. 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.
  22. 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.
  23. Ulaþ Akküçük & Selin Küçükkancabaþ, 2007. "Analyzing The Perceptions Of Turkish Universities Using Multidimensional Scaling (Mds) Analysis," Bogazici Journal, Review of Social, Economic and Administrative Studies, Bogazici University, Department of Economics, vol. 21(1+2), pages 125-141.
  24. Jan Leeuw & Sandra Pruzansky, 1978. "A new computational method to fit the weighted euclidean distance model," Psychometrika, Springer;The Psychometric Society, vol. 43(4), pages 479-490, December.
  25. Pietro Amenta & Alessio Ishizaka & Antonio Lucadamo & Gabriella Marcarelli & Vijay Vyas, 2020. "Computing a common preference vector in a complex multi-actor and multi-group decision system in Analytic Hierarchy Process context," Annals of Operations Research, Springer, vol. 284(1), pages 33-62, January.
  26. Avdjiev, S. & Giudici, P. & Spelta, A., 2019. "Measuring contagion risk in international banking," Journal of Financial Stability, Elsevier, vol. 42(C), pages 36-51.
  27. 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.
  28. Zhang, Tonglin, 2020. "CP decomposition and weighted clique problem," Statistics & Probability Letters, Elsevier, vol. 161(C).
  29. Francois Husson & Jerome Pages, 2005. "Scatter Plot and Additional Variables," Journal of Applied Statistics, Taylor & Francis Journals, vol. 32(4), pages 341-350.
  30. 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.
  31. 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.
  32. Jos Berge, 2000. "The typical rank of tall three-way arrays," Psychometrika, Springer;The Psychometric Society, vol. 65(4), pages 525-532, December.
  33. James Lingoes & Ingwer Borg, 1978. "A direct approach to individual differences scaling using increasingly complex transformations," Psychometrika, Springer;The Psychometric Society, vol. 43(4), pages 491-519, December.
  34. Vichi, Maurizio, 1998. "Principal classifications analysis: a method for generating consensus dendrograms and its application to three-way data," Computational Statistics & Data Analysis, Elsevier, vol. 27(3), pages 311-331, May.
  35. Markus Schröder & Fabien Gatti & David Lauvergnat & Hans-Dieter Meyer & Oriol Vendrell, 2022. "The coupling of the hydrated proton to its first solvation shell," Nature Communications, Nature, vol. 13(1), pages 1-9, December.
  36. Husson, F. & Pages, J., 2006. "INDSCAL model: geometrical interpretation and methodology," Computational Statistics & Data Analysis, Elsevier, vol. 50(2), pages 358-378, January.
  37. Sherri N. Sheinfeld & Gary L. Lord, 1981. "The Ethics of Evaluation Researchers," Evaluation Review, , vol. 5(3), pages 377-391, June.
  38. Michele Gallo & Violetta Simonacci & Maria Anna Palma, 2019. "An integrated algorithm for three-way compositional data," Quality & Quantity: International Journal of Methodology, Springer, vol. 53(5), pages 2353-2370, September.
  39. Yoshio Takane & J. Carroll, 1981. "Nonmetric maximum likelihood multidimensional scaling from directional rankings of similarities," Psychometrika, Springer;The Psychometric Society, vol. 46(4), pages 389-405, December.
  40. 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.
  41. Forrest Young & Norman Cliff, 1972. "Interactive scaling with individual subjects," Psychometrika, Springer;The Psychometric Society, vol. 37(4), pages 385-415, December.
  42. 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.
  43. Moukam, Claudiane Yanick & Atewamba, Calvin, 2023. "Incorporating expert knowledge in the estimate of farmers’ opportunity cost of supplying environmental services in rural Cameroon," Bio-based and Applied Economics Journal, Italian Association of Agricultural and Applied Economics (AIEAA), vol. 12(3), October.
  44. 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.
  45. Hare, Francis G., 1999. "Applications of Multidimensional Similarity Scaling (MDS) in evaluation research," Children and Youth Services Review, Elsevier, vol. 21(2), pages 147-166, February.
  46. 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.
  47. Roberto Rocci & Jos Berge, 2002. "Transforming three-way arrays to maximal simplicity," Psychometrika, Springer;The Psychometric Society, vol. 67(3), pages 351-365, September.
  48. Ingwer Borg & James Lingoes, 1978. "What weight should weights have in individual differences scaling?," Quality & Quantity: International Journal of Methodology, Springer, vol. 12(3), pages 223-237, September.
  49. 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.
  50. 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.
  51. Martin Young & Wayne DeSarbo, 1995. "A parametric procedure for ultrametric tree estimation from conditional rank order proximity data," Psychometrika, Springer;The Psychometric Society, vol. 60(1), pages 47-75, March.
  52. Willem Heiser, 2013. "In memoriam, J. Douglas Carroll 1939–2011," Psychometrika, Springer;The Psychometric Society, vol. 78(1), pages 5-13, January.
  53. Terrence Dunn & Richard Harshman, 1982. "A multidimensional scaling model for the size-weight illusion," Psychometrika, Springer;The Psychometric Society, vol. 47(1), pages 25-45, March.
  54. 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.
  55. Schoonees, P.C. & Groenen, P.J.F. & van de Velden, M., 2015. "Least-squares Bilinear Clustering of Three-way Data," Econometric Institute Research Papers EI2014-23, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
  56. Clarkson, Douglas B, 2000. "A random effects individual difference multidimensional scaling model," Computational Statistics & Data Analysis, Elsevier, vol. 32(3-4), pages 337-347, January.
  57. A. Collins, 1992. "Matching configurations," Journal of Classification, Springer;The Classification Society, vol. 9(1), pages 173-175, January.
  58. Stegeman, Alwin & Ten Berge, Jos M.F., 2006. "Kruskal's condition for uniqueness in Candecomp/Parafac when ranks and k-ranks coincide," Computational Statistics & Data Analysis, Elsevier, vol. 50(1), pages 210-220, January.
  59. 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.
  60. 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.
  61. Scotland C Leman & Leanna House & Dipayan Maiti & Alex Endert & Chris North, 2013. "Visual to Parametric Interaction (V2PI)," PLOS ONE, Public Library of Science, vol. 8(3), pages 1-12, March.
  62. Chaturvedi, Anil & Carroll, J. D., 1998. "A perceptual mapping procedure for analysis of proximity data to determine common and unique product-market structures," European Journal of Operational Research, Elsevier, vol. 111(2), pages 268-284, December.
  63. 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.
  64. Cecilio Mar-Molinero & Carlos Serrano-Cinca, 2001. "Bank failure: a multidimensional scaling approach," The European Journal of Finance, Taylor & Francis Journals, vol. 7(2), pages 165-183.
  65. Bolton, Patrick & Li, Tao & Ravina, Enrichetta & Rosenthal, Howard, 2020. "Investor ideology," Journal of Financial Economics, Elsevier, vol. 137(2), pages 320-352.
  66. Bilian Chen & Zhening Li & Shuzhong Zhang, 2015. "On optimal low rank Tucker approximation for tensors: the case for an adjustable core size," Journal of Global Optimization, Springer, vol. 62(4), pages 811-832, August.
  67. 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.
  68. 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.
  69. 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).
  70. Giudici, Paolo & Huang, Bihong & Spelta, Alessandro, 2018. "Trade Networks and Economic Fluctuations in Asia," ADBI Working Papers 832, Asian Development Bank Institute.
  71. Krijnen, Wim P., 2006. "Convergence of the sequence of parameters generated by alternating least squares algorithms," Computational Statistics & Data Analysis, Elsevier, vol. 51(2), pages 481-489, November.
  72. Carlos Martin-Barreiro & John A. Ramirez-Figueroa & Ana B. Nieto-Librero & Víctor Leiva & Ana Martin-Casado & M. Purificación Galindo-Villardón, 2021. "A New Algorithm for Computing Disjoint Orthogonal Components in the Three-Way Tucker Model," Mathematics, MDPI, vol. 9(3), pages 1-22, January.
  73. Zhiyuan Zhang & Chen Ling & Hongjin He & Liqun Qi, 2024. "A tensor train approach for internet traffic data completion," Annals of Operations Research, Springer, vol. 339(3), pages 1461-1479, August.
  74. Siciliano, Roberta & Mooijaart, Ab, 1997. "Three-factor association models for three-way contingency tables," Computational Statistics & Data Analysis, Elsevier, vol. 24(3), pages 337-356, May.
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  76. 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.
  77. Xuezhong Wang & Maolin Che & Yimin Wei, 2020. "Tensor neural network models for tensor singular value decompositions," Computational Optimization and Applications, Springer, vol. 75(3), pages 753-777, April.
  78. Anup Suryawanshi & Debraj Ghosh, 2015. "Wind speed prediction using spatio-temporal covariance," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 75(2), pages 1435-1449, January.
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  81. Overbeck, Jennifer R. & Park, Bernadette, 2006. "Powerful perceivers, powerless objects: Flexibility of powerholders' social attention," Organizational Behavior and Human Decision Processes, Elsevier, vol. 99(2), pages 227-243, March.
  82. 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.
  83. 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.
  84. Peter Schönemann, 1970. "On metric multidimensional unfolding," Psychometrika, Springer;The Psychometric Society, vol. 35(3), pages 349-366, September.
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