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Global Minima by Penalized Full-dimensional Scaling

2024-07-23Code Available0· sign in to hype

Jan de Leeuw

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Abstract

The full-dimensional (metric, Euclidean, least squares) multidimensional scaling stress loss function is combined with a quadratic external penalty function term. The trajectory of minimizers of stress for increasing values of the penalty parameter is then used to find (tentative) global minima for low-dimensional multidimensional scaling. This is illustrated with several one-dimensional and two-dimensional examples.

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