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Multidimensional scaling: I. Theory and method

Citations

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Cited by:

  1. Michael C. Thrun & Alfred Ultsch, 2021. "Using Projection-Based Clustering to Find Distance- and Density-Based Clusters in High-Dimensional Data," Journal of Classification, Springer;The Classification Society, vol. 38(2), pages 280-312, July.
  2. Alexander Strehl & Joydeep Ghosh, 2003. "Relationship-Based Clustering and Visualization for High-Dimensional Data Mining," INFORMS Journal on Computing, INFORMS, vol. 15(2), pages 208-230, May.
  3. Benjamin B. Risk & David S. Matteson & David Ruppert & Ani Eloyan & Brian S. Caffo, 2014. "An evaluation of independent component analyses with an application to resting-state fMRI," Biometrics, The International Biometric Society, vol. 70(1), pages 224-236, March.
  4. Yilin Yu & Juntao Liu, 2023. "SCM Enables Improved Single-Cell Clustering by Scoring Consensus Matrices," Mathematics, MDPI, vol. 11(17), pages 1-15, September.
  5. repec:cup:judgdm:v:13:y:2018:i:2:p:163-169 is not listed on IDEAS
  6. Carter T. Butts & Kathleen M. Carley, 2005. "Some Simple Algorithms for Structural Comparison," Computational and Mathematical Organization Theory, Springer, vol. 11(4), pages 291-305, December.
  7. Kensuke Okada & Shin-ichi Mayekawa, 2018. "Post-processing of Markov chain Monte Carlo output in Bayesian latent variable models with application to multidimensional scaling," Computational Statistics, Springer, vol. 33(3), pages 1457-1473, September.
  8. Sancar Adali & Carey E. Priebe, 2016. "Fidelity-Commensurability Tradeoff in Joint Embedding of Disparate Dissimilarities," Journal of Classification, Springer;The Classification Society, vol. 33(3), pages 485-506, October.
  9. Jason J Lavinder & Kam Hon Hoi & Sai T Reddy & Yariv Wine & George Georgiou, 2014. "Systematic Characterization and Comparative Analysis of the Rabbit Immunoglobulin Repertoire," PLOS ONE, Public Library of Science, vol. 9(6), pages 1-11, June.
  10. Raatikainen, Mika & Skön, Jukka-Pekka & Leiviskä, Kauko & Kolehmainen, Mikko, 2016. "Intelligent analysis of energy consumption in school buildings," Applied Energy, Elsevier, vol. 165(C), pages 416-429.
  11. Christopher T. Whelan & Mario Lucchini & Maurizio Pisati & Maitre, Bertrand, 2009. "Understanding the Socio-Economic Distribution and Consequences of Patterns of Multiple Deprivation: An Application of Self-Organising Maps," Papers WP302, Economic and Social Research Institute (ESRI).
  12. Shen, Cencheng & Sun, Ming & Tang, Minh & Priebe, Carey E., 2014. "Generalized canonical correlation analysis for classification," Journal of Multivariate Analysis, Elsevier, vol. 130(C), pages 310-322.
  13. Malone, Samuel W. & Tarazaga, Pablo & Trosset, Michael W., 2002. "Better initial configurations for metric multidimensional scaling," Computational Statistics & Data Analysis, Elsevier, vol. 41(1), pages 143-156, November.
  14. Kendall Giles & Michael Trosset & David Marchette & Carey Priebe, 2008. "Iterative Denoising," Computational Statistics, Springer, vol. 23(4), pages 497-517, October.
  15. Li, Kehua & Ma, Zhenjun & Robinson, Duane & Ma, Jun, 2018. "Identification of typical building daily electricity usage profiles using Gaussian mixture model-based clustering and hierarchical clustering," Applied Energy, Elsevier, vol. 231(C), pages 331-342.
  16. Venera Tomaselli, 1996. "Multivariate statistical techniques and sociological research," Quality & Quantity: International Journal of Methodology, Springer, vol. 30(3), pages 253-276, August.
  17. Gruenhage, Gina & Opper, Manfred & Barthelme, Simon, 2016. "Visualizing the effects of a changing distance on data using continuous embeddings," Computational Statistics & Data Analysis, Elsevier, vol. 104(C), pages 51-65.
  18. Oscar Claveria, 2017. "“What really matters is the economic performance: Positioning tourist destinations by means of perceptual maps”," AQR Working Papers 201707, University of Barcelona, Regional Quantitative Analysis Group, revised Jul 2017.
  19. Vladimír Matlach & Barbora Anna Janečková & Daniel Dostál, 2022. "The Voynich manuscript: Symbol roles revisited," PLOS ONE, Public Library of Science, vol. 17(1), pages 1-26, January.
  20. Meen Chul Kim & Yongjun Zhu & Chaomei Chen, 2016. "How are they different? A quantitative domain comparison of information visualization and data visualization (2000–2014)," Scientometrics, Springer;Akadémiai Kiadó, vol. 107(1), pages 123-165, April.
  21. He, Jiayi & Shang, Pengjian & Xiong, Hui, 2018. "Multidimensional scaling analysis of financial time series based on modified cross-sample entropy methods," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 500(C), pages 210-221.
  22. Herden, Gerhard & Pallack, Andreas, 2002. "Consistency in ordinal data analysis I," Mathematical Social Sciences, Elsevier, vol. 43(1), pages 79-113, January.
  23. José Luis Ortega Priego, 2003. "A Vector Space Model as a methodological approach to the Triple Helix dimensionality: A comparative study of Biology and Biomedicine Centres of two European National Research Councils from a Webometri," Scientometrics, Springer;Akadémiai Kiadó, vol. 58(2), pages 429-443, October.
  24. Oscar Claveria & Enric Monte & Salvador Torra, 2017. "A new approach for the quantification of qualitative measures of economic expectations," Quality & Quantity: International Journal of Methodology, Springer, vol. 51(6), pages 2685-2706, November.
  25. Herden, Gerhard & Pallack, Andreas, 2005. "Adequateness and interpretability of objective functions in ordinal data analysis," Journal of Multivariate Analysis, Elsevier, vol. 94(1), pages 19-69, May.
  26. Ick Hoon Jin & Minjeong Jeon & Michael Schweinberger & Jonghyun Yun & Lizhen Lin, 2022. "Multilevel network item response modelling for discovering differences between innovation and regular school systems in Korea," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 71(5), pages 1225-1244, November.
  27. Bijmolt, T.H.A. & Wedel, M., 1996. "A Monte Carlo Evaluation of Maximum Likelihood Multidimensional Scaling Methods," Other publications TiSEM f72cc9d8-f370-43aa-a224-4, Tilburg University, School of Economics and Management.
  28. Dian Charity Hidayat & Kosuke Mizuno & Chairil Abdini Abidin Said & Herdis Herdiansyah, 2023. "Implementation Framework for Transformation of Peat Ecosystems to Support Food Security," Agriculture, MDPI, vol. 13(2), pages 1-17, February.
  29. Fry, J.T. & Slifko, Matt & Leman, Scotland, 2018. "Generalized biplots for stress-based multidimensionally scaled projections," Computational Statistics & Data Analysis, Elsevier, vol. 128(C), pages 340-353.
  30. Sato-Ilic, Mika & Sato, Yoshiharu, 2000. "Asymmetric aggregation operator and its application to fuzzy clustering model," Computational Statistics & Data Analysis, Elsevier, vol. 32(3-4), pages 379-394, January.
  31. Akinori Okada & Tadashi Imaizumi, 1997. "Asymmetric multidimensional scaling of two-mode three-way proximities," Journal of Classification, Springer;The Classification Society, vol. 14(2), pages 195-224, September.
  32. Trosset, Michael W. & Priebe, Carey E. & Park, Youngser & Miller, Michael I., 2008. "Semisupervised learning from dissimilarity data," Computational Statistics & Data Analysis, Elsevier, vol. 52(10), pages 4643-4657, June.
  33. Debnath, Ramit & Bardhan, Ronita & Misra, Ashwin & Hong, Tianzhen & Rozite, Vida & Ramage, Michael H., 2022. "Lockdown impacts on residential electricity demand in India: A data-driven and non-intrusive load monitoring study using Gaussian mixture models," Energy Policy, Elsevier, vol. 164(C).
  34. Wayne DeSarbo & Joonwook Park & Crystal Scott, 2008. "A Model-Based Approach for Visualizing the Dimensional Structure of Ordered Successive Categories Preference Data," Psychometrika, Springer;The Psychometric Society, vol. 73(1), pages 1-20, March.
  35. Péladeau, Normand & Dagenais, Christian & Ridde, Valéry, 2017. "Concept mapping internal validity: A case of misconceived mapping?," Evaluation and Program Planning, Elsevier, vol. 62(C), pages 56-63.
  36. Dorit S. Hochbaum & Erick Moreno-Centeno & Phillip Yelland & Rodolfo A. Catena, 2011. "Rating Customers According to Their Promptness to Adopt New Products," Operations Research, INFORMS, vol. 59(5), pages 1171-1183, October.
  37. Leung, Pui Lam & Lau, Kin-nam, 2004. "Estimating the city-block two-dimensional scaling model with simulated annealing," European Journal of Operational Research, Elsevier, vol. 158(2), pages 518-524, October.
  38. Michael Filzmoser & Patrick Hippmann & Rudolf Vetschera, 2016. "Analyzing the Multiple Dimensions of Negotiation Processes," Group Decision and Negotiation, Springer, vol. 25(6), pages 1169-1188, November.
  39. Jenny Assi & Mario Lucchini & Amedeo Spagnolo, 2012. "Mapping patterns of well-being and quality of life in extended Europe," International Review of Economics, Springer;Happiness Economics and Interpersonal Relations (HEIRS), vol. 59(4), pages 409-430, December.
  40. repec:jss:jstsof:30:i12 is not listed on IDEAS
  41. Meller, Barbara & Metiu, Norbert, 2015. "The synchronization of European credit cycles," Discussion Papers 20/2015, Deutsche Bundesbank.
  42. Lucio Palazzo & Riccardo Ievoli, 2023. "Detecting Regional Differences in Italian Health Services during Five COVID-19 Waves," Stats, MDPI, vol. 6(2), pages 1-13, April.
  43. Jinkai Yu & Wenjing Bi, 2019. "Evolution of Marine Environmental Governance Policy in China," Sustainability, MDPI, vol. 11(18), pages 1-14, September.
  44. Gabriel Szulanski & Dimo Ringov & Robert J. Jensen, 2016. "Overcoming Stickiness: How the Timing of Knowledge Transfer Methods Affects Transfer Difficulty," Organization Science, INFORMS, vol. 27(2), pages 304-322, April.
  45. Wayne DeSarbo & Joonwook Park & Vithala Rao, 2011. "Deriving joint space positioning maps from consumer preference ratings," Marketing Letters, Springer, vol. 22(1), pages 1-14, March.
  46. Guido Kraemer & Markus Reichstein & Gustau Camps-Valls & Jeroen Smits & Miguel D. Mahecha, 2020. "The Low Dimensionality of Development," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 150(3), pages 999-1020, August.
  47. Peltonen, Jaakko & Venna, Jarkko & Kaski, Samuel, 2009. "Visualizations for assessing convergence and mixing of Markov chain Monte Carlo simulations," Computational Statistics & Data Analysis, Elsevier, vol. 53(12), pages 4453-4470, October.
  48. 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.
  49. Michael W. Trosset, 2002. "Extensions of Classical Multidimensional Scaling via Variable Reduction," Computational Statistics, Springer, vol. 17(2), pages 147-163, July.
  50. Trosset, Michael W. & Priebe, Carey E., 2008. "The out-of-sample problem for classical multidimensional scaling," Computational Statistics & Data Analysis, Elsevier, vol. 52(10), pages 4635-4642, June.
  51. Martin H Teicher & Angelika Parigger, 2015. "The ‘Maltreatment and Abuse Chronology of Exposure’ (MACE) Scale for the Retrospective Assessment of Abuse and Neglect During Development," PLOS ONE, Public Library of Science, vol. 10(2), pages 1-37, February.
  52. Bijmolt, T.H.A. & Wedel, M., 1996. "A Monte Carlo Evaluation of Maximum Likelihood Multidimensional Scaling Methods," Research Memorandum 725, Tilburg University, School of Economics and Management.
  53. Zha, Hongyuan & Zhang, Zhenyue, 2007. "Continuum Isomap for manifold learnings," Computational Statistics & Data Analysis, Elsevier, vol. 52(1), pages 184-200, September.
  54. Panpan Yu & Qingna Li, 2018. "Ordinal Distance Metric Learning with MDS for Image Ranking," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 35(01), pages 1-19, February.
  55. Paul F. M. Krabbe & Joshua A. Salomon & Christopher J. L. Murray, 2007. "Quantification of Health States with Rank-Based Nonmetric Multidimensional Scaling," Medical Decision Making, , vol. 27(4), pages 395-405, July.
  56. Si-Tong Lu & Miao Zhang & Qing-Na Li, 2020. "Feasibility and a fast algorithm for Euclidean distance matrix optimization with ordinal constraints," Computational Optimization and Applications, Springer, vol. 76(2), pages 535-569, June.
  57. Karlo Kotarac & Davor Kunovac & Rafael Ravnik, 2017. "Coherence of Business Cycles and Economic Shocks between Croatia and Euro Area Member States," Working Papers 53, The Croatian National Bank, Croatia.
  58. Walesiak Marek & Dudek Andrzej, 2017. "Selecting the Optimal Multidimensional Scaling Procedure for Metric Data With R Environment," Statistics in Transition New Series, Polish Statistical Association, vol. 18(3), pages 521-540, September.
  59. Daniel B. McArtor & Gitta H. Lubke & C. S. Bergeman, 2017. "Extending multivariate distance matrix regression with an effect size measure and the asymptotic null distribution of the test statistic," Psychometrika, Springer;The Psychometric Society, vol. 82(4), pages 1052-1077, December.
  60. Mirta Galesic & A. Walkyria Goode & Thomas S. Wallsten & Kent L. Norman, 2018. "Using Tversky’s contrast model to investigate how features of similarity affect judgments of likelihood," Judgment and Decision Making, Society for Judgment and Decision Making, vol. 13(2), pages 163-169, March.
  61. Bui, Anh Tuan & Apley, Daniel W., 2019. "An exploratory analysis approach for understanding variation in stochastic textured surfaces," Computational Statistics & Data Analysis, Elsevier, vol. 137(C), pages 33-50.
  62. C. Horan, 1969. "Multidimensional scaling: Combining observations when individuals have different perceptual structures," Psychometrika, Springer;The Psychometric Society, vol. 34(2), pages 139-165, June.
  63. Marta G. Pancheva & Carol D. Ryff & Mario Lucchini, 2021. "An Integrated Look at Well-Being: Topological Clustering of Combinations and Correlates of Hedonia and Eudaimonia," Journal of Happiness Studies, Springer, vol. 22(5), pages 2275-2297, June.
  64. Maarten M. Kampert & Jacqueline J. Meulman & Jerome H. Friedman, 2017. "rCOSA: A Software Package for Clustering Objects on Subsets of Attributes," Journal of Classification, Springer;The Classification Society, vol. 34(3), pages 514-547, October.
  65. Lewis, R.M. & Trosset, M.W., 2006. "Sensitivity analysis of the strain criterion for multidimensional scaling," Computational Statistics & Data Analysis, Elsevier, vol. 50(1), pages 135-153, January.
  66. Cristian Rizzo & Matteo Di Giuseppe & Domenico Moramarco & Simone Pizzi & Myriam Portaluri & Gianluigi Guido, 2016. "L?effetto dell?inquinamento acustico sulla distanza percepita dei punti vendita," ESPERIENZE D'IMPRESA, FrancoAngeli Editore, vol. 2016(1), pages 65-79.
  67. Oscar Claveria & Enric Monte & Salvador Torra, 2018. "“A regional perspective on the accuracy of machine learning forecasts of tourism demand based on data characteristics”," IREA Working Papers 201805, University of Barcelona, Research Institute of Applied Economics, revised Mar 2018.
  68. Marek Walesiak & Andrzej Dudek, 2017. "Selecting The Optimal Multidimensional Scaling Procedure For Metric Data With R Environment," Statistics in Transition New Series, Polish Statistical Association, vol. 18(3), pages 521-540, September.
  69. Hirdesh K. Pharasi & Suchetana Sadhukhan & Parisa Majari & Anirban Chakraborti & Thomas H. Seligman, 2021. "Dynamics of the market states in the space of correlation matrices with applications to financial markets," Papers 2107.05663, arXiv.org.
  70. Lin, L. & Fong, D.K.H., 2019. "Bayesian multidimensional scaling procedure with variable selection," Computational Statistics & Data Analysis, Elsevier, vol. 129(C), pages 1-13.
  71. Alexander Platzer, 2013. "Visualization of SNPs with t-SNE," PLOS ONE, Public Library of Science, vol. 8(2), pages 1-6, February.
  72. Chia-Chin Chang, 2015. "Influences of knowledge spillover and utilization on the NIS performance: a multi-stage efficiency perspective," Quality & Quantity: International Journal of Methodology, Springer, vol. 49(5), pages 1945-1967, September.
  73. Sutao Song & Zhichao Zhan & Zhiying Long & Jiacai Zhang & Li Yao, 2011. "Comparative Study of SVM Methods Combined with Voxel Selection for Object Category Classification on fMRI Data," PLOS ONE, Public Library of Science, vol. 6(2), pages 1-11, February.
  74. Malek Abduljaber & Ilker Kalin, 2019. "Globalization and the Transformation of Political Attitude Structures at the Party Level in the Arab World: Insights from the Cases of Egypt and Jordan," Societies, MDPI, vol. 9(1), pages 1-19, March.
  75. Flora Josiane Chadare & Nadia Fanou Fogny & Yann Eméric Madode & Juvencio Odilon G. Ayosso & Sèwanou Hermann Honfo & Folachodé Pierre Polycarpe Kayodé & Anita Rachel Linnemann & Djidjoho Joseph Hounho, 2018. "Local agro-ecological condition-based food resources to promote infant food security: a case study from Benin," Food Security: The Science, Sociology and Economics of Food Production and Access to Food, Springer;The International Society for Plant Pathology, vol. 10(4), pages 1013-1031, August.
  76. Mihail Titu & Amelia Bucur, 2016. "Models for quality analysis of services in the local public administration," Quality & Quantity: International Journal of Methodology, Springer, vol. 50(2), pages 921-936, March.
  77. Tarakci, M. & Ates, N.Y. & Porck, J.P. & van Knippenberg, D.L. & Groenen, P.J.F. & de Haas, M., 2011. "Testing and Visualizing Strategic Consensus Within and Between Teams," ERIM Report Series Research in Management ERS-2011-015-MKT, Erasmus Research Institute of Management (ERIM), ERIM is the joint research institute of the Rotterdam School of Management, Erasmus University and the Erasmus School of Economics (ESE) at Erasmus University Rotterdam.
  78. Valeria Glorioso & Maurizio Pisati, 2014. "Socioeconomic inequality in health-related behaviors: a lifestyle approach," Quality & Quantity: International Journal of Methodology, Springer, vol. 48(5), pages 2859-2879, September.
  79. Xiaomeng Cao & Yuan Gao & Jingwei Cui & Shuangbiao Han & Lei Kang & Sha Song & Chengshan Wang, 2020. "Pore Characteristics of Lacustrine Shale Oil Reservoir in the Cretaceous Qingshankou Formation of the Songliao Basin, NE China," Energies, MDPI, vol. 13(8), pages 1-25, April.
  80. W. J. Krzanowski, 2006. "Sensitivity in Metric Scaling and Analysis of Distance," Biometrics, The International Biometric Society, vol. 62(1), pages 239-244, March.
  81. Morales José F. & Song Tingting & Auerbach Arleen D. & Wittkowski Knut M., 2008. "Phenotyping Genetic Diseases Using an Extension of µ-Scores for Multivariate Data," Statistical Applications in Genetics and Molecular Biology, De Gruyter, vol. 7(1), pages 1-20, June.
  82. Kagie, M. & van Wezel, M.C. & Groenen, P.J.F., 2009. "Map Based Visualization of Product Catalogs," ERIM Report Series Research in Management ERS-2009-010-MKT, Erasmus Research Institute of Management (ERIM), ERIM is the joint research institute of the Rotterdam School of Management, Erasmus University and the Erasmus School of Economics (ESE) at Erasmus University Rotterdam.
  83. Liu, Xiaoming & Lin, Aijing & Li, Shuqi, 2021. "Classification of international stock markets through MDS based on Hurst-surface distance," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 566(C).
  84. Jianrong Yao & Xiangliang Guo & Lu Wang & Hui Jiang, 2022. "Understanding Green Consumption: A Literature Review Based on Factor Analysis and Bibliometric Method," Sustainability, MDPI, vol. 14(14), pages 1-13, July.
  85. Chabowski, Brian R. & Samiee, Saeed, 2023. "A bibliometric examination of the literature on emerging market MNEs as the basis for future research," Journal of Business Research, Elsevier, vol. 155(PB).
  86. Sheng-Shiung Wu & Sing-Jie Jong & Kai Hu & Jiann-Ming Wu, 2021. "Learning Neural Representations and Local Embedding for Nonlinear Dimensionality Reduction Mapping," Mathematics, MDPI, vol. 9(9), pages 1-18, April.
  87. Oh, Man-Suk, 2012. "A simple and efficient Bayesian procedure for selecting dimensionality in multidimensional scaling," Journal of Multivariate Analysis, Elsevier, vol. 107(C), pages 200-209.
  88. Francesco Curreri & Giacomo Fiumara & Maria Gabriella Xibilia, 2020. "Input Selection Methods for Soft Sensor Design: A Survey," Future Internet, MDPI, vol. 12(6), pages 1-24, June.
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