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IASI Research Report n. 09-21 (Previous )
Spinelli V.,
Giovanni Felici,
Simeone B.Classification techniques and error control in logic miningABSTRACT In this paper we consider Box Clustering, a method for supervised classication that partitions
the feature space with simple convex sets (boxes). Box Clustering produces systems of logic
rules obtained from data in numerical form. Such rules explicitely represent the logic relations
hidden in the data w.r.t. a target class. The algorithm adopted to solve the Box Clustering
problem is based on a simple and fast agglomerative method that can be aected by the initial
choice of the starting point and by the rules adopted for by the method. In this paper we propose
and motivate a randomized approach that generates a large number of candidate models using
dierent data samples, and then chooses the best candidate model according to 2 criteria: model
size, as expressed by the number of boxes of the model, and model precision, as expressed by the
error on the test split. We adopt a Pareto-optimal strategy for the choice of the solution, under
the hypothesis that such a choice would identify simple models with good predictive power. This
procedure has been applied to a wide range of well known data sets to evaluate to what extent
our results conrm this hypothesis; its performances are then compared with those of competing
methods.