The problem of the additive constant and eigenvalues in metric multidimensional scaling |
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Authors: | Takayuki Saito |
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Affiliation: | (1) Japan Univac Research Institute, Japan |
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Abstract: | This paper is concerned with the additive constant problem in metric multidimensional scaling. First the influence of the additive constant on eigenvalues of a scalar product matrix is discussed. The second part of this paper is devoted to the introduction of a new formulation of the additive constant problem. A solution is given for fixed dimensionality, by maximizing a normalized index of fit with a gradient method. An experimental computation has shown that the author's solution is accurate and easy to follow. |
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Keywords: | additive constant problem eigenvalues metric multidimensional scaling normalized index of fit |
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