Bias of Nearest Neighbor Error Estimates

@article{Fukunaga1987BiasON,
  title={Bias of Nearest Neighbor Error Estimates},
  author={Keinosuke Fukunaga and Donald M. Hummels},
  journal={IEEE Transactions on Pattern Analysis and Machine Intelligence},
  year={1987},
  volume={PAMI-9},
  pages={103-112}
}
The bias of the finite-sample nearest neighbor (NN) error from its asymptotic value is examined. Expressions are obtained which relate the bias of the NN and 2-NN errors to sample size, dimensionality, metric, and distributions. These expressions isolate the effect of sample size from that of the distributions, giving an explicit relation showing how the bias changes as the sample size is increased. Experimental results are given which suggest that the expressions accurately predict the bias… CONTINUE READING
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