Near-Optimal Sample Compression for Nearest Neighbors

Lee-Ad Gottlieb,A. Kontorovich,Pinhas Nisnevitch

Published 2014 in IEEE Transactions on Information Theory

ABSTRACT

We present the first sample compression algorithm for nearest neighbors with non-trivial performance guarantees. We complement these guarantees by demonstrating almost matching hardness lower bounds, which show that our performance bound is nearly optimal. Our result yields new insight into margin-based nearest neighbor classification in metric spaces and allows us to significantly sharpen and simplify existing bounds. Some encouraging empirical results are also presented.

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