KDTREE 2: Fortran 95 and C++ software to efficiently search for near neighbors in a multi-dimensional Euclidean space

Details KDTREE 2: Fortran 95 and C++ software to efficiently search for near neighbors in a multi-dimensional Euclidean space KDTREE 2: Fortran 95 and C++ software to efficiently search for near neighbors in a multi-dimensional Euclidean space

2004-08-14

arxiv.org/abs/physics/0408067v2

Physics

Data Analysis, Statistics and Probability

Software is available at ftp://lyapunov.ucsd.edu/pub/nonlinear/kd_tree/kdtree2.tar.gz

Scientific paper

Many data-based statistical algorithms require that one find \textit{near or nearest neighbors} to a given vector among a set of points in that vector space, usually with Euclidean topology. The k-d data structure and search algorithms are the generalization of classical binary search trees to higher dimensional spaces, so that one may locate near neighbors to an example vector in $O(\log N)$ time instead of the brute-force O(N) time, with $N$ being the size of the data base. KDTREE2 is a Fortran 95 module, and a parallel set of C++ classes which implement tree construction and search routines to find either a set of $m$ nearest neighbors to an example, or all the neighbors within some Euclidean distance $r.$ The two versions are independent and function fully on their own. Considerable care has been taken in the implementation of the search methods, resulting in substantially higher computational efficiency (up to an order of magnitude faster) than the author's previous Internet-distributed version. Architectural improvements include rearrangement for memory cache-friendly performance, heap-based priority queues for large $m$searches, and more effective pruning of search paths by geometrical constraints to avoid wasted effort. The improvements are the most potent in the more difficult and slowest cases: larger data base sizes, higher dimensionality manifolds containing the data set, and larger numbers of neighbors to search for. The C++ implementation requires the Standard Template Library as well as the BOOST C++ library be installed.

Affiliated with

Also associated with

No associations

Rating

KDTREE 2: Fortran 95 and C++ software to efficiently search for near neighbors in a multi-dimensional Euclidean space does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with KDTREE 2: Fortran 95 and C++ software to efficiently search for near neighbors in a multi-dimensional Euclidean space, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and KDTREE 2: Fortran 95 and C++ software to efficiently search for near neighbors in a multi-dimensional Euclidean space will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-697111