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A Majorization Algorithm for Solving MDS

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Modern Multidimensional Scaling

Part of the book series: Springer Series in Statistics ((SSS))

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Abstract

An elegant algorithm for computing an MDS solution is discussed in this chapter. We reintroduce the Stress function that measures the deviance of the distances between points in a geometric space and their corresponding dissimilarities. Then, we focus on how a function can be minimized An easy and powerful minimization strategy is the principle of minimizing a function by iterative majorization. This method is applied in the SMACOF algorithm for minimizing Stress.

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© 1997 Springer Science+Business Media New York

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Borg, I., Groenen, P. (1997). A Majorization Algorithm for Solving MDS. In: Modern Multidimensional Scaling. Springer Series in Statistics. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-2711-1_8

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  • DOI: https://doi.org/10.1007/978-1-4757-2711-1_8

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4757-2713-5

  • Online ISBN: 978-1-4757-2711-1

  • eBook Packages: Springer Book Archive

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