Improved approximate near neighbor search without false negatives for $l_2$
@article{Wygocki2017ImprovedAN, title={Improved approximate near neighbor search without false negatives for \$l_2\$}, author={Piotr Wygocki}, journal={ArXiv}, year={2017}, volume={abs/1709.10338} }
We present a new algorithm for the $c$--approximate nearest neighbor search without false negatives for $l_2^d$. We enhance the dimension reduction method presented in \cite{wygos_red} and combine it with the standard results of Indyk and Motwani~\cite{motwani}. We present an efficient algorithm with Las Vegas guaranties for any $c>1$. This improves over the previous results, which require $c=\omega(\log\log{n})$ \cite{wygos_red}, where $n$ is the number of the input points. Moreover, we… CONTINUE READING
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