On Multimodality of the SSTRESS Criterion for Metric Multidimensional Scaling

Article type: Research Article

Authors: Žilinskas, Antanas | Podlipskytė, Aurelija

Affiliations: Institute of Mathematics and Informatics, Akademijos 4, LT‐2021 Vilnius, Lithuania & Cardiff University, UK, e‐mail: antanasz@ktl.mii.lt | Vytautas Magnus University & Institute of Psychophysiology and Rehabilitation, Vydūno 4, LT‐5720 Palanga, Lithuania, e‐mail: aurelija@ktl.mii.lt

Abstract: Recent publications on multidimensional scaling express contradicting opinion on multimodality of STRESS criterion. An example has been published with rigorously provable multimodality of STRESS. We present an example of data and the rigorous proof of multimodality of SSTRESS for this data. Some comments are included on widely accepted opinion that minimization of SSTRESS is easier than minimization of STRESS.

Keywords: global optimization, multidimensional scaling, symbolic computation

Journal: Informatica, vol. 14, no. 1, pp. 121-130, 2003