This paper presents a procedure for clustering analysis that combines Kohone’s Self organizing Feature Map (SOFM) and statistical schemes. The idea is to cluster the data in two stages: run SOFM and then minimize the segmentation dispersion. The advantages of proposed procedure will be...

Knowledge as the basis of science has up to now only verbally defined features which are not accepted between all sciences. On the other hand knowledge must have some interoperable, physical related features since otherwise we wouldn’t be able to exchange knowledge between humans. With the...

Spatio-temporally chaotic dynamics of a classical field can be described by means of an infinite hierarchy of its unstable spatio-temporally periodic solutions. The periodic orbit theory yields the global averages characterizing the chaotic dynamics, as well as the starting semiclassical...

The central limit theory associated with universally optimal and bounded locally optimal clustering is presented. The derivation makes use of a Donsker-type theorem for the quantile process that is also proven. Procedures for assessing the numbers of groups represented in the data are also...