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Multistage pattern recognition of signals represented in wavelet bases with reject option

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1 Author(s)
Urszula Libal ; Institute of Computer Engineering, Control and Robotics, Wroclaw University of Technology, 50-370 Wroclaw, Poland

We propose a multistage pattern recognition algorithm with a reject option. On every stage, the presented algorithm chooses a class of signal or rejects the signal, i.e. refuses to make a decision. If a class is assigned to the signal on some stage, then the algorithm stops. In the opposite case of a signal rejection, the decision of assigning to a class is made on the next stage. The multiresolution signal representation in wavelet bases allows to take a more accurate signal representation on every following stage. Our approach saves the computation time, when the algorithm selects a class on an early stage basing on a coarse wavelet representation. If the inaccurate representation is insufficient to point out one of classes (e.g. when the a posteriori probability of every class is lower than a fixed bound, in case of Bayesian classifier), the reject option protects from choosing a wrong class. We show that a risk of misclassification for the Bayesian decision rule with a reject option is lower or equal to a risk of the one-stage optimal Bayesian rule.

Published in:

Methods and Models in Automation and Robotics (MMAR), 2012 17th International Conference on

Date of Conference:

27-30 Aug. 2012