This book presents a new perspective on and a new approach to a wide
spectrum of situations, related to data analysis, actually, a kind of a
new paradigm. Namely, for a given data set and its partition, whose
origins may be of any kind, the authors try to reconstruct this
partition on the basis of the data set given, using very broadly
conceived clustering procedure. The main advantages of this new paradigm
concern the substantive aspects of the particular cases considered,
mainly in view of the variety of interpretations, which can be assumed
in the framework of the paradigm. Due to the novel problem formulation
and the flexibility in the interpretations of this problem and its
components, the domains, which are encompassed (or at least affected) by
the potential use of the paradigm, include cluster analysis,
classification, outlier detection, feature selection, and even factor
analysis as well as geometry of the data set. The book is useful for all
those who look for new, nonconventional approaches to their data
analysis problems.