The out-of-sample problem for classical multidimensional scaling

Michael W. Trosset and Carey E. Priebe

Computational Statistics & Data Analysis, 2008, vol. 52, issue 10, 4635-4642

Abstract: Out-of-sample embedding techniques insert additional points into previously constructed configurations. An out-of-sample extension of classical multidimensional scaling is presented. The out-of-sample extension is formulated as an unconstrained nonlinear least-squares problem. The objective function is a fourth-order polynomial, easily minimized by standard gradient-based methods for numerical optimization. Two examples are presented.

Date: 2008
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