IDEAS home Printed from https://ideas.repec.org/a/spr/jclass/v12y1995i1p3-19.html
   My bibliography  Save this article

The majorization approach to multidimensional scaling for Minkowski distances

Author

Listed:
  • Patrick Groenen
  • Rudolf Mathar
  • Willem Heiser

Abstract

No abstract is available for this item.

Suggested Citation

  • Patrick Groenen & Rudolf Mathar & Willem Heiser, 1995. "The majorization approach to multidimensional scaling for Minkowski distances," Journal of Classification, Springer;The Classification Society, vol. 12(1), pages 3-19, March.
    • Handle: RePEc:spr:jclass:v:12:y:1995:i:1:p:3-19
    DOI: 10.1007/BF01202265
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/BF01202265
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1007/BF01202265?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Phipps Arabie, 1991. "Was euclid an unnecessarily sophisticated psychologist?," Psychometrika, Springer;The Psychometric Society, vol. 56(4), pages 567-587, December.
    2. Louis Guttman, 1968. "A general nonmetric technique for finding the smallest coordinate space for a configuration of points," Psychometrika, Springer;The Psychometric Society, vol. 33(4), pages 469-506, December.
    3. Jan Leeuw, 1988. "Convergence of the majorization method for multidimensional scaling," Journal of Classification, Springer;The Classification Society, vol. 5(2), pages 163-180, September.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Andrew Webb, 1997. "Radial basis functions for exploratory data analysis: An iterative majorisation approach for Minkowski distances based on multidimensional scaling," Journal of Classification, Springer;The Classification Society, vol. 14(2), pages 249-267, September.
    2. Julius Žilinskas, 2012. "Parallel branch and bound for multidimensional scaling with city-block distances," Journal of Global Optimization, Springer, vol. 54(2), pages 261-274, October.
    3. Patrick Groenen & Willem Heiser, 1996. "The tunneling method for global optimization in multidimensional scaling," Psychometrika, Springer;The Psychometric Society, vol. 61(3), pages 529-550, September.
    4. Antanas Žilinskas & Julius Žilinskas, 2008. "A hybrid method for multidimensional scaling using city-block distances," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 68(3), pages 429-443, December.
    5. K. Van Deun & P. J. F. Groenen, 2005. "Majorization Algorithms for Inspecting Circles, Ellipses, Squares, Rectangles, and Rhombi," Operations Research, INFORMS, vol. 53(6), pages 957-967, December.
    6. Groenen, P.J.F. & Borg, I., 2013. "The Past, Present, and Future of Multidimensional Scaling," Econometric Institute Research Papers EI 2013-07, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    7. Groenen, P.J.F. & Winsberg, S. & Rodriguez, O. & Diday, E., 2006. "I-Scal: Multidimensional scaling of interval dissimilarities," Computational Statistics & Data Analysis, Elsevier, vol. 51(1), pages 360-378, November.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. 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.
    2. 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.
    3. Roland G. Fryer & Matthew O. Jackson, 2002. "Categorical Cognition: A Psychological Model of Categories and Identification in Decision Making," Microeconomics 0211002, University Library of Munich, Germany.
    4. Milton Bloombaum, 1970. "Doing smallest space analysis," Journal of Conflict Resolution, Peace Science Society (International), vol. 14(3), pages 409-416, September.
    5. Samuel Shye, 2010. "The Motivation to Volunteer: A Systemic Quality of Life Theory," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 98(2), pages 183-200, September.
    6. מחקר - ביטוח לאומי, 1994. "Volume 3," Working Papers 60, National Insurance Institute of Israel.
    7. Hanafi, Mohamed & Kiers, Henk A.L., 2006. "Analysis of K sets of data, with differential emphasis on agreement between and within sets," Computational Statistics & Data Analysis, Elsevier, vol. 51(3), pages 1491-1508, December.
    8. Venera Tomaselli, 1996. "Multivariate statistical techniques and sociological research," Quality & Quantity: International Journal of Methodology, Springer, vol. 30(3), pages 253-276, August.
    9. Gupta, Vipin & Hanges, Paul J. & Dorfman, Peter, 2002. "Cultural clusters: methodology and findings," Journal of World Business, Elsevier, vol. 37(1), pages 11-15, April.
    10. Zvi Maimon, 1978. "The choice of ordinal measures of association," Quality & Quantity: International Journal of Methodology, Springer, vol. 12(3), pages 255-264, September.
    11. Michael J. Greenacre & Patrick J. F. Groenen, 2016. "Weighted Euclidean Biplots," Journal of Classification, Springer;The Classification Society, vol. 33(3), pages 442-459, October.
    12. Kennon M. Sheldon & Evgeny N. Osin & Tamara O. Gordeeva & Dmitry D. Suchkov & Vlaidslav V. Bobrov & Elena I. Rasskazova & Oleg A. Sychev, 2015. "Evaluating the Dimensionality of the Relative Autonomy Continuum in Us and Russian Samples," HSE Working papers WP BRP 48/PSY/2015, National Research University Higher School of Economics.
    13. Roderick McDonald, 1976. "A note on monotone polygons fitted to bivariate data," Psychometrika, Springer;The Psychometric Society, vol. 41(4), pages 543-546, December.
    14. 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.
    15. Krzysztof Bartczak & Stanisław Łobejko, 2022. "The Implementation Environment for a Digital Technology Platform of Renewable Energy Sources," Energies, MDPI, vol. 15(16), pages 1-16, August.
    16. Vivian Klaff, 1973. "Ethnic segregation in urban Israel," Demography, Springer;Population Association of America (PAA), vol. 10(2), pages 161-184, May.
    17. Jayawickreme, Nuwan & Mootoo, Candace & Fountain, Christine & Rasmussen, Andrew & Jayawickreme, Eranda & Bertuccio, Rebecca F., 2017. "Post-conflict struggles as networks of problems: A network analysis of trauma, daily stressors and psychological distress among Sri Lankan war survivors," Social Science & Medicine, Elsevier, vol. 190(C), pages 119-132.
    18. Emilio Viano, 1973. "The styles of management inventory: A methodological analysis of a training and research instrument," Quality & Quantity: International Journal of Methodology, Springer, vol. 7(1), pages 91-106, March.
    19. Willem Heiser, 1991. "A generalized majorization method for least souares multidimensional scaling of pseudodistances that may be negative," Psychometrika, Springer;The Psychometric Society, vol. 56(1), pages 7-27, March.
    20. George K. Jarvis, 1974. "Establishing Critical Turning-Points in Temporal Variation," Sociological Methods & Research, , vol. 2(4), pages 455-484, May.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:jclass:v:12:y:1995:i:1:p:3-19. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.