Multidimensional Scaling in the Poincare disk

Multidimensional Scaling in the Poincaré Disk

Multidimensional scaling (MDS) is a class of projective algorithms traditionally used to produce twoor three-dimensional visualizations of datasets consisting of multidimensional objects or interobject distances. Recently, metric MDS has been applied to the problems of graph embedding for the purpose of approximate encoding of edge or path costs using node coordinates in metric space. Several a...

Tau Functions for the Dirac Operator on the Poincare Disk

In this paper we define tau functions for holonomic fields associated with the Dirac operator on the Poincare disk. The deformation analysis of the tau functions is worked out and in the case of the two point function, the tau function is expressed in terms of a Painleve function of type VI.

Multidimensional scaling.

INTRODUCTION .................................................................................................. . . . . . . . . 608 A NEW TAXONOMY OF MEASUREMENT DATA AND OF MULTIDIMENSIONAL MEASUREMENT MODELS .............. ............ 608 ONE-MODE TWO-WAY DATA.................................................................................. 612 Spatial Distance Models (for One-mode Two-way D...

Using Multidimensional Scaling for Assessment Economic Development of Regions

Addressing socio-economic development issues are strategic and most important for any country. Multidimensional statistical analysis methods, including comprehensive index assessment, have been successfully used to address this challenge, but they donchr('39')t cover all aspects of development, leaving some gap in the development of multidimensional metrics. The purpose of the study is to const...

Multidimensional Scaling