nips nips2002 nips2002-140 nips2002-140-reference knowledge-graph by maker-knowledge-mining

140 nips-2002-Margin Analysis of the LVQ Algorithm


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Author: Koby Crammer, Ran Gilad-bachrach, Amir Navot, Naftali Tishby

Abstract: Prototypes based algorithms are commonly used to reduce the computational complexity of Nearest-Neighbour (NN) classifiers. In this paper we discuss theoretical and algorithmical aspects of such algorithms. On the theory side, we present margin based generalization bounds that suggest that these kinds of classifiers can be more accurate then the 1-NN rule. Furthermore, we derived a training algorithm that selects a good set of prototypes using large margin principles. We also show that the 20 years old Learning Vector Quantization (LVQ) algorithm emerges naturally from our framework. 1


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