Title :
On the mapping of linear classification trees onto one-hidden-layer neural nets
Author :
Bioch, Jan C. ; Carsouw, Robert ; Potharst, Rob
Author_Institution :
Dept. of Comput. Sci., Erasmus Univ., Rotterdam, Netherlands
Abstract :
In this paper we show that the convex regions induced by a decision tree with linear decision function cannot be represented by linear membership functions as suggested in the literature. It appears that a faithful representation is only possible for subregions. We derive explicit expressions for the membership functions of these subregions. This approximation can be used to initialise a one-hidden-layer neural net
Keywords :
decision theory; feedforward neural nets; function approximation; pattern classification; trees (mathematics); approximation; convex regions; decision tree; feedforward neural networks; linear classification trees; linear membership functions; mapping; one-hidden-layer neural nets; Classification tree analysis; Computer science; Convergence; Decision trees; Equations; Feedforward neural networks; Neural networks; Vegetation mapping;
Conference_Titel :
Neural Networks, 1995. Proceedings., IEEE International Conference on
Conference_Location :
Perth, WA
Print_ISBN :
0-7803-2768-3
DOI :
10.1109/ICNN.1995.488883
