New Capabilities of The Geometric Multidimensional Scaling

Multidimensional scaling (MDS) is a prevalent method for presenting multidimensional data visually. Some stress function is minimized by MDS. Recently, the stress function and multidimensional scaling, in general, have been considered from the geometric point of view, and the so-called Geometric MDS has been developed. Geometric MDS allows finding the proper direction and step size forwards the minimum of the stress function analytically when coordinates of a separate point of the projected space are varied. In this paper, we examine the stress function experimentally when simultaneously changing the position of all the points of the projected space in the directions, defined by Geometric MDS strategy for a separate point.