Nearest-Neighbor Searching Under Uncertainty II
Abstract
Nearest-neighbor search, which returns the nearest neighbor of a query point in a set of points, is an important and widely studied problem in many fields, and it has wide range of applications. In many of them, such as sensor databases, location-based services, face recognition, and mobile data, the location of data is imprecise. We therefore study nearest-neighbor queries in a probabilistic framework in which the location of each input point is specified as a probability distribution function. We present efficient algorithms for - computing all points that are nearest neighbors of a query point with nonzero probability; and - estimating the probability of a point being the nearest neighbor of a query point, either exactly or within a specified additive error.
Cite
@article{arxiv.1606.00112,
title = {Nearest-Neighbor Searching Under Uncertainty II},
author = {Pankaj K. Agarwal and Boris Aronov and Sariel Har-Peled and Jeff M. Philips and Ke Yi and Wuzhou Zhang},
journal= {arXiv preprint arXiv:1606.00112},
year = {2016}
}