Abstract
Confidence value plays a vital role in the decision of rejection threshold and the integration of multiple classifiers. Nearest neighbor (NN) classifier is the most traditional and most common nonparameter statistical pattern classifier. However, so far there is no explicate theoretical analysis of the connection between nearest distance and confidence value. An analytical insight into different approximations is presented and one formula is pointed out that it is optimal in the sense of mathematical expectation. Practice in handwritten numeral recognition strongly supports the conclusion.
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