On the stochastic geometrical foundations of metric multidimensional scaling
type: Item
instance of: scholarly article
title: On the stochastic geometrical foundations of metric multidimensional scaling
zbMATH Open document ID: 0567.62094
DOI: 10.1016/0165-4896(85)90007-1
author: Robert L. Manicke
published in: Mathematical Social Sciences
publication date: 1985-01-01T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 62P15
Mathematics Subject Classification ID: 62H99
Mathematics Subject Classification ID: 60D05
Mathematics Subject Classification ID: 62A01
zbMATH DE Number: 3905713
zbMATH Keywords: topological spaces
zbMATH Keywords: monotonic metric transforms
zbMATH Keywords: Riemannian metric
zbMATH Keywords: metric multidimensional scaling
zbMATH Keywords: minimal separation properties
zbMATH Keywords: random stimulus points
zbMATH Keywords: random connecting paths
MaRDI profile type: Publication
full work available at URL: 0165-4896(85)90007-1
OpenAlex ID: W2068410015
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Wikidata QID: Q126083439
description: scientific article; zbMATH DE number 3905713