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1999 | OriginalPaper | Chapter

Non-Metric Full-Multidimensional Scaling

Author : Maurizio Vichi

Published in: Classification and Data Analysis

Publisher: Springer Berlin Heidelberg

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This paper focuses on some solutions for non-metric full-Multidimensional Scaling (MDS), minimizing the STRESS and S-STRESS loss functions. In particular, the linear transformations of dissimilarities into Euclidean distances minimizing the two loss functions are given. A non trivial result for S-STRESS with a quadratic transformation of dissimilarities, constraining its coefficients, is also obtained.

Metadata
Title
Non-Metric Full-Multidimensional Scaling
Author
Maurizio Vichi
Copyright Year
1999
Publisher
Springer Berlin Heidelberg
DOI
https://doi.org/10.1007/978-3-642-60126-2_21