RankVisu is a dimensionality reduction
technique
belonging to Non-Metric Multi Dimensional Scaling (NM MDS). This
method is
designed to preserve the neighborhood ranks.
Abstract: Most multidimensional scaling methods focus on the preservation of
dissimilarities to map high dimensional items in a low-dimensional
space. However, the mapping function usually does not consider the
preservation of small dissimilarities as important, since the cost is
small with respect to the preservation of large dissimilarities. As a
consequence, an item's neighborhoods may be sacrificed for the benefit
of the overall mapping. We have subsequently designed a mapping method
devoted to the preservation of neighborhood ranks rather than their
dissimilarities: RankVisu. A mapping of data is obtained in which
neighborhood ranks are as close as possible according to the original
space. A comparison with both metric and non-metric MDS highlights the
pros (in particular, cluster enhancement) and cons of RankVisu.