Analysis of the structure of the relationship between the descriptions of objects of classes and evaluation of their compactness

The study is conducted to assess the compactness of descriptions of objects of classes on the numerical axis and in the multidimensional attribute space. The computation of compactness is possible only in the defined boundaries of areas of the attribute space. In the one-dimensional case, the boundaries are calculated by the frequency of occurrence of the values of features of objects of classes in the interval. In the multidimensional case, a subset of the boundary objects of the classes is used for a given metric. A comparative analysis is given of the values of the compactness measure by latent attributes on the numerical axis and by the sets of initial features from which they are synthesized.