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arXiv · 2310.00211

Theoretical Foundations of Ordinal Multidimensional Scaling, Including Internal and External Unfolding

Ery Arias-Castro·Clément Berenfeld·Daniel Kane
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Abstract

We provide a comprehensive theory of multiple variants of ordinal multidimensional scaling,including internal unfolding and external unfolding. We first follow Shepard (1966) and work in a continuum model to gain insight. We then follow Kleindessner and von Luxburg (2014) and work in an asymptotic discrete setting.

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Ery Arias-Castro, Clément Berenfeld, Daniel Kane. 2023-09-30. Theoretical Foundations of Ordinal Multidimensional Scaling, Including Internal and External Unfolding. https://arxiv.org/abs/2310.00211

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