Notes on Applications of Multidimensional scaling to Geographical data

Applications of multidimensional scaling to graph drawing

Applications of Convex Analysis to Multidimensional Scaling

A. In this paper we discuss the convergence of an algorithm for metric and nonmetric multidimensional scaling that is very similar to the C-matrix algorithm of Guttman. The paper improves some earlier results in two respects. In the first place the analysis is extended to cover general Minkovski metrics, in the second place a more elementary proof of convergence based on results of Rober...

Applications of Multidimensional Scaling to Molecular Conformation 1 2 Multidimensional Scaling

Multidimensional scaling (MDS) is a collection of data analytic techniques for constructing conngurations of points from information about interpoint distances. Such constructions arise in computational chemistry when one endeavors to infer the conformation (3-dimensional structure) of a molecule from information about its interatomic distances. For a number of reasons, this application of MDS ...

Applications of Multidimensional Scaling in Cognitive Psychology

Cognitive psychology has used multidimensional scaling (and related procedures) in a wide variety of ways. This paper examines some straightforward applications, and also some applications where the explanation of the cognitive process is derived rather directly from the solution obtained through multidimensional scaling. Other applications examined include cognitive development, and the use of...

Data Visualization With Multidimensional Scaling

We discuss methodology for multidimensional scaling (MDS) and its implementation in two software systems, GGvis and XGvis. MDS is a visualization technique for proximity data, that is, data in the form of N × N dissimilarity matrices. MDS constructs maps (“configurations,” “embeddings”) in IRk by interpreting the dissimilarities as distances. Two frequent sources of dissimilarities are high-dim...