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A bottom-up oblique decision tree induction algorithm

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4 Author(s)
Rodrigo C. Barros ; Department of Computer Science, ICMC, University of São Paulo (USP), São Carlos - SP, Brazil ; Ricardo Cerri ; Pablo A. Jaskowiak ; AndrĂ© C. P. L. F. de Carvalho

Decision tree induction algorithms are widely used in knowledge discovery and data mining, specially in scenarios where model comprehensibility is desired. A variation of the traditional univariate approach is the so-called oblique decision tree, which allows multivariate tests in its non-terminal nodes. Oblique decision trees can model decision boundaries that are oblique to the attribute axes, whereas univariate trees can only perform axis-parallel splits. The majority of the oblique and univariate decision tree induction algorithms perform a top-down strategy for growing the tree, relying on an impurity-based measure for splitting nodes. In this paper, we propose a novel bottom-up algorithm for inducing oblique trees named BUTIA. It does not require an impurity-measure for dividing nodes, since we know a priori the data resulting from each split. For generating the splitting hyperplanes, our algorithm implements a support vector machine solution, and a clustering algorithm is used for generating the initial leaves. We compare BUTIA to traditional univariate and oblique decision tree algorithms, C4.5, CART, OC1 and FT, as well as to a standard SVM implementation, using real gene expression benchmark data. Experimental results show the effectiveness of the proposed approach in several cases.

Published in:

Intelligent Systems Design and Applications (ISDA), 2011 11th International Conference on

Date of Conference:

22-24 Nov. 2011