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.
Near-Optimal Sample Compression for Nearest Neighbors
Lee-Ad Gottlieb,A. Kontorovich,Pinhas Nisnevitch
Published 2014 in IEEE Transactions on Information Theory
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- Publication year
2014
- Venue
IEEE Transactions on Information Theory
- Publication date
2014-04-13
- Fields of study
Mathematics, Computer Science
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