When a dataset involves multiple classes, there is often a need to express
the key contrasting features among these classes in humanly understandable
terms, that is, to profile the classes. Commonly, one class is contrasted f
rom the rest by aggregating the latter into a pseudo-class; alternatively,
classes are treated separately without coordinating their profiles with tho
se of the other classes. We introduce the concise all pairs profiling (CAPP
) method for concise, intelligible, and approximate profiling of large clas
sifications. The method compares all classes pairwise and then minimizes th
e overall number of features needed to guarantee that each pair of classes
is contrasted by at least one feature. Then each class profile gets its own
minimized list of features, annotated with how these features contrast the
class from the others. Significant applications to social and natural scie
nce are demonstrated. (C) 2000 Academic Press.