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An Incremental Nearest Neighbor Algorithm With Queries

 Joel Ratsaby
  
 

Abstract:
We consider the general problem of learning multi-category classification from labeled examples. In many practical learning settings the sample size or time available for training are limited, which may have adverse effects on the accuracy of the resulting classifier. To compensate for this, researchers have considered various ways of trying to make the learning process more efficient so that even with limited resources high accuracy may be possible. The classical theory of pattern recognition assumes labeled examples appear according to unknown underlying class conditional probability distributions where the pattern classes are picked randomly in a passive manner according to their a priori probabilities. In this paper, we present experimental results for an algorithm which actively selects samples from different pattern classes according to a querying rule as opposed to the a priori probabilities. The amount of improvement of this query-based approach over the passive batch approach depends on the complexity of the Bayes rule. The query rule essentially learns to tune the subsample size of each of the pattern classes to this Bayes complexity which is assumed to be unknown. The principle on which this algorithm is based is general enough to be used in any learning algorithm which permits a model-selection criterion and for which the error rate of the classifier is calculable in terms of the complexity of the model.

 
 


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