Nearest-neighbor searching under uncertainty

  • Authors:
  • Pankaj K. Agarwal;Alon Efrat;Swaminathan Sankararaman;Wuzhou Zhang

  • Affiliations:
  • Duke University, Durham, NC, USA;The University of Arizona, Tucson, AZ, USA;Duke University, Durham, NC, USA;Duke University, Durham, NC, USA

  • Venue:
  • PODS '12 Proceedings of the 31st symposium on Principles of Database Systems
  • Year:
  • 2012

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Abstract

Nearest-neighbor queries, which ask for returning the nearest neighbor of a query point in a set of points, are important and widely studied in many fields because of a wide range of applications. In many of these applications, 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 and/or query point is specified as a probability density function and the goal is to return the point that minimizes the expected distance, which we refer to as the expected nearest neighbor (ENN). We present methods for computing an exact ENN or an ε-approximate ENN, for a given error parameter 0