On the stochastic geometrical foundations of metric multidimensional scaling (Q1059976)

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scientific article; zbMATH DE number 3905713
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On the stochastic geometrical foundations of metric multidimensional scaling
scientific article; zbMATH DE number 3905713

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    On the stochastic geometrical foundations of metric multidimensional scaling (English)
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    1985
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    This paper deals with the topological and measure theoretic probability foundations of metric multidimensional scaling. The first four sections develop minimal separation properties for a set of points or space to model a stimulus. The next three sections give measure theoretic probabilistic structure to random stimulus points and their random connecting paths.
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    topological spaces
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    monotonic metric transforms
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    Riemannian metric
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    metric multidimensional scaling
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    minimal separation properties
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    random stimulus points
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    random connecting paths
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