## The PNC 2 Cluster Algorithm -- An integrated learning algorithm for rule induction (2003)

### BibTeX

@MISC{Haendel03thepnc,

author = {Lars Haendel},

title = {The PNC 2 Cluster Algorithm -- An integrated learning algorithm for rule induction},

year = {2003}

}

### OpenURL

### Abstract

This document describes the hierarchical agglomerative cluster algorithm Pnc 2 in the context of direct generation of If-Then rules for classification tasks. As an agglomerative cluster algorithm, the Pnc 2 initializes each learn data tuple as a single cluster. Then, if a merge test is passed, iteratively always those two clusters with the same output value are merged, that are closest to each other. The merge test transforms the generalized cluster into a rule and evaluates it by a kind of hitrate. The rule's premise is the cuboid, that encloses the input vectors of all learn data tuples merged in the cluster. This representation suffers in high dimensional input spaces due to the COD problem and thus a special mechanism is used to extend the cuboid during the merge test. A