Pattern recognition with linearly structured labels using recursive kernel estimator

Authors:
Adam Krzyżak;Ewaryst Rafajłowicz
Affiliations:
Department of Computer Science and Software Engineering, Concordia University, Montreal, Canada;Institute of Computer Engineering, Control and Robotics, Wrocław University of Technology, Wrocław, Poland
Venue:
ICAISC'10 Proceedings of the 10th international conference on Artificial intelligence and soft computing: Part I
Year:
2010

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Abstract

We consider pattern recognition problem when classes and their labels are linearly structured (or ordered).We propose the loss function based on the squared differences between the true and the predicted class labels. The optimal Bayes classifier is derived and then estimated by the recursive kernel estimator. Its consistency is established theoretically. Its RBF-like realization of the classifier is also proposed together with a recursive learning algorithm, which is well suited for on-line applications. The proposed approach was tested in real life example involving classification of moving vehicles.