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📄 kdtree2.lyx

📁 kd tree java implementation 2
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width="0"><column alignment="right" valignment="top" leftline="true" width="0"><column alignment="right" valignment="top" leftline="true" rightline="true" width="0"><row topline="true" bottomline="true"><cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">\begin_inset Text\layout Standard\begin_inset Formula $m$\end_inset \end_inset </cell><cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">\begin_inset Text\layout StandardKDTREE2\end_inset </cell><cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">\begin_inset Text\layout Standardold KDTREE\end_inset </cell></row><row topline="true"><cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">\begin_inset Text\layout Standard1\end_inset </cell><cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">\begin_inset Text\layout Standard36258\end_inset </cell><cell 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usebox="none">\begin_inset Text\layout Standard188\end_inset </cell></row></lyxtabular>\end_inset  \layout StandardFor 50,000 points in 8-dimensional unit hypercube. For the large data sets in higher dimensions, the new package shows the largest performance gain.\layout Standard\align center \begin_inset  Tabular<lyxtabular version="3" rows="6" columns="3"><features><column alignment="center" valignment="top" leftline="true" rightline="true" width="0"><column alignment="right" valignment="top" leftline="true" width="0"><column alignment="right" valignment="top" leftline="true" rightline="true" width="0"><row topline="true" bottomline="true"><cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">\begin_inset Text\layout Standard\begin_inset Formula $m$\end_inset \end_inset </cell><cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">\begin_inset Text\layout StandardKDTREE2\end_inset </cell><cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">\begin_inset Text\layout Standardold KDTREE\end_inset </cell></row><row topline="true"><cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">\begin_inset Text\layout Standard1\end_inset </cell><cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">\begin_inset Text\layout Standard8940\end_inset </cell><cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">\begin_inset Text\layout Standard2050\end_inset </cell></row><row topline="true"><cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">\begin_inset Text\layout Standard5\end_inset </cell><cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">\begin_inset Text\layout Standard4338\end_inset </cell><cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">\begin_inset Text\layout Standard874\end_inset </cell></row><row topline="true"><cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">\begin_inset Text\layout Standard10\end_inset </cell><cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">\begin_inset Text\layout Standard3144\end_inset </cell><cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">\begin_inset Text\layout Standard601\end_inset </cell></row><row topline="true"><cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">\begin_inset Text\layout Standard25\end_inset </cell><cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">\begin_inset Text\layout Standard2069\end_inset </cell><cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">\begin_inset Text\layout Standard359\end_inset </cell></row><row topline="true" bottomline="true"><cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">\begin_inset Text\layout Standard500\end_inset </cell><cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">\begin_inset Text\layout Standard396\end_inset </cell><cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">\begin_inset Text\layout Standard49\end_inset </cell></row></lyxtabular>\end_inset \layout Sectionlicensing\layout StandardThe KDTREE2 software is licensed under the terms of the Academic Free Software License, included in file \family typewriter LICENSE \family default included with the software. In addition, users of this software must give appropriate citation in relevant technical documentation or journal paper to the author, Matthew B. Kennel, Institute For Nonlinear Science, preferably via a reference to the www.arxiv.org repository of this document. This requirement will be deemed to be advisory and not mandatory as is necessary for the purpose of inclusion of the present software with any software licensed under the GNU General Public License.\layout StandardThis software is downloadable by anonymous FTP at \family typewriter ftp://lyapunov.ucsd.edu /pub/nonlinear/kd_tree/kdtree2.[zip|tar.gz].\layout Bibliography\bibitem {Moore91}A. W. Moore, \begin_inset Quotes eld\end_inset An introductory tutorial on Kd-Trees. Extract from Efficient Memory-based Learning for Robot Control\begin_inset Quotes erd\end_inset  (Technical Report 209). Computer Laboratory, University of Cambridge (1991). \layout Bibliography\bibitem {Friedman77}J. H. Freidman, J. L. Bentley, R. A. Finkel, \begin_inset Quotes eld\end_inset An Algorithm for Finding Best Matches in Logarithmic Expected Time\begin_inset Quotes erd\end_inset , ACM Trans. Math. Soft (TOMS), 3, 209--226, (1997)\layout Bibliography\bibitem {Talbert}D. A. Talbert, D. Fisher, \begin_inset Quotes eld\end_inset An empirical analysis of techniques for constructing and searching k-dimensional trees\begin_inset Quotes erd\end_inset , Conference on Knowledge Discovery in Data, Proceedings of the sixth ACM SIGKDD international conference on Knowledge discovery and data mining, Boston, Massachusetts, United States, 26--33 (2000) \layout Bibliography\bibitem {Sproul}R. F. Sproull, \begin_inset Quotes eld\end_inset Refinements to Nearest-Neighbor Searchingin k-Dimensional Trees\begin_inset Quotes erd\end_inset , Algorithmica, 6, 579-589 (1991). \the_end

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