A new formulation for classification by ellipsoids

Authors:
Ayşegül Uçar;Yakup Demir;Cüneyt Güzeliş
Affiliations:
Electrical and Electronics Engineering Department, Engineering Faculty, Fırat University, Elazig, Turkey;Electrical and Electronics Engineering Department, Engineering Faculty, Fırat University, Elazig, Turkey;Electrical and Electronics Engineering Department, Dokuz Eylül University, İzmir, Turkey
Venue:
TAINN'05 Proceedings of the 14th Turkish conference on Artificial Intelligence and Neural Networks
Year:
2005

Citing 4
Cited 0

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Abstract

We propose a new formulation for the optimal separation problems. This robust formulation is based on finding the minimum volume ellipsoid covering the points belong to the class. Idea is to separate by ellipsoids in the input space without mapping data to a high dimensional feature space unlike Support Vector Machines. Thus the distance order in the input space is preserved. Hopfield Neural Network is described for solving the optimization problem. The benchmark Iris data is given to evaluate the formulation.