- Author
- Zaborski Artur
- Title
- Majoryzacja funkcji dopasowania w skalowaniu wielowymiarowym
Majorization of the Stress Function in Multidimensional Scaling - Source
- Prace Naukowe Akademii Ekonomicznej we Wrocławiu. Ekonometria (7), 2001, nr 895, s. 278-285, rys., bibliogr. 4 poz.
- Issue title
- Zastosowania metod ilościowych
- Keyword
- Skalowanie wielowymiarowe, Funkcje
Multidimensional scaling, Functions - Note
- summ.
- Abstract
- Niniejszy artykuł jest prezentacją ważnej metody optymalizacji funkcji dopasowania - algorytmu majoryzacji. (fragment tekstu)
For finding the minimum of a function f(x), it is not always enough computing the derivative, setting it equal to zero and solving for x (solving the equation f'(x) = 0 is simply impossible, or derivative is not defined everywhere). Iterative majorization is a method of trying to get increasingly better estimates of minimum. In SMACOF (Scaling by MAjorizing COmplicated Function) majorization algorithm is used to minimize the STRESS function. (original abstract) - Accessibility
- The Main Library of the Cracow University of Economics
The Library of Warsaw School of Economics
The Library of University of Economics in Katowice
The Main Library of Poznań University of Economics and Business
The Main Library of the Wroclaw University of Economics - Bibliography
-
- Borg I., Groenen P.: Modern Multidimensional Scaling. Theory and Applications. New York- Springer-Verlag 1997.
- De Leeuw J.: Convergence of the Majorization Method for Multidimensional Scaling. "Journal of Classification" 1988 No. 5, s. 163-180.
- De Leeuw J., Heiser W.J.: Convergence of Correction-Matrix Algorithms for Multidimensional Scaling. W: J.R. Barra, F. Brodeau, G. Romier and B. van Cutsem (Eds.): Recent developments in statistics. Amsterdam: North-Holland 1977, s. 133-145.
- Groenen P.J.F.: The Majorization Approach to Multidimensional Scaling: Some Problems and Extensions. Leiden: DSWO Press, Leiden University 1993.
- Cited by
- ISSN
- 0324-8445
1507-3866 - Language
- pol
