The Solution of the Metric STRESS and SSTRESS Problems in Multidimensional Scaling Using Newton's Method

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dc.contributor.authorKearsley, A.J.en_US
dc.contributor.authorTapia, R.A.en_US
dc.contributor.authorTrosset, M.W.en_US
dc.date.accessioned2018-06-18T17:41:51Zen_US
dc.date.available2018-06-18T17:41:51Zen_US
dc.date.issued1994-12en_US
dc.date.noteDecember 1994en_US
dc.description.abstractThis paper considers numerical algorithms for finding local minimizers of metric multidimensional scaling problems. The two most common optimality criteria (STRESS and SSTRESS) are considered, the leading algorithms for each are carefully explicated, and a new algorithm is proposed. The new algorithm is based on Newton's method and relies on a parameterization that has not previously been used in multidimensional scaling algorithms. In contrast to previous algorithms, a very pleasant feature of the new algorithm is that it can be used with either the STRESS or the SSTRESS criterion. Numerical results are presented for the metric STRESSS problem. These results are quite satisfying and, among other things, suggest that the well-known SMACOF-I algorithm tends to stop prematurely.en_US
dc.format.extent24 ppen_US
dc.identifier.citationKearsley, A.J., Tapia, R.A. and Trosset, M.W.. "The Solution of the Metric STRESS and SSTRESS Problems in Multidimensional Scaling Using Newton's Method." (1994) <a href="https://hdl.handle.net/1911/101849">https://hdl.handle.net/1911/101849</a>.en_US
dc.identifier.digitalTR94-44en_US
dc.identifier.urihttps://hdl.handle.net/1911/101849en_US
dc.language.isoengen_US
dc.titleThe Solution of the Metric STRESS and SSTRESS Problems in Multidimensional Scaling Using Newton's Methoden_US
dc.typeTechnical reporten_US
dc.type.dcmiTexten_US
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