Approximate Nearest Neighbor Search using a Single Space-filling Curve and Multiple Representations of the Data Points

Abstract

In this work, a fast approximate nearest neighbour search algorithm using single Space-filling Curve (SPFC) Mapping and a set of synthetic prototype representations is presented. The results are comparable to a multiplespacefilling scheme, but achieving a much faster execution time, since computing multiple transformations and SPFC Mapping’s is avoided, at the expense of having a more densely populated one-dimensional representation of the data-set. The advantages and limitations of the model are discussed, and an experimental evaluation with synthetic data and with a large, real high-dimensional optical character recognition data-set is presented.