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Additional info for A branch-reduce-cut algorithm for the global optimization of probabilistically constrained linear programs
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Then we eliminated all the categories of the third level to create a shallower classification scheme (level=2). We repeated this process again, until our classification schemes consisted of one single node (level=0). Of course, the performance of all the methods at this point was perfect. 4 and τec = τc = 8 (the trends were the same for other threshold combinations as well). The results confirmed our earlier observations: QProber performs better than the other techniques for different depths, with only a smooth degradation in per- 2.
Finally, we give some pointers to existing work in the area of rule extraction. Before describing the algorithm in detail, we define the terminology that we will use. , words in our context), belongs to one class or not. 2 Classifying Databases through Probing classifier makes this decision by calculating, during the training phase, m weights w1 , . . , wm and a threshold b determining a hyperplane such that all points t = t1 , . . 1) i =1 This hyperplane divides the m-dimensional document space into two regions: the region with the documents that belong to the class in question, and the region with all other documents.
We define a database as “homogeneous” when it has articles from only one node, regardless of whether this node is a leaf node or not. If it is not a leaf node, then it has equal number of articles from each leaf node in its subtree. The “heterogeneous” databases, on the other hand, have documents from different categories that reside in the same level in the hierarchy (not necessarily siblings), with different mixture percentages. We believe that these databases model real-world text databases, with a variety of sizes and foci.