Nearest neighbor searching under uncertainty II

Pankaj K. Agarwal, Boris Aronov, Sariel Har-Peled, Jeff M. Phillips, Ke Yi, Wuzhou Zhang

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

    Abstract

    Nearest-neighbor (NN) 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 (i) computing all points that are nearest neighbors of a query point with nonzero probability; (ii) estimating, within a specified additive error, the probability of a point being the nearest neighbor of a query point; (iii) using it to return the point that maximizes the probability being the nearest neighbor, or all the points with probabilities greater than some threshold to be the NN. We also present some experimental results to demonstrate the effectiveness of our approach.

    Original languageEnglish (US)
    Title of host publicationPODS 2013 - Proceedings of the 32nd Symposium on Principles of Database Systems
    Pages115-126
    Number of pages12
    DOIs
    StatePublished - 2013
    Event32nd ACM SIGMOD-SIGACT-SIGART Symposium on Principles of Database Systems, PODS 2013 - New York, NY, United States
    Duration: Jun 22 2013Jun 27 2013

    Publication series

    NameProceedings of the ACM SIGACT-SIGMOD-SIGART Symposium on Principles of Database Systems

    Other

    Other32nd ACM SIGMOD-SIGACT-SIGART Symposium on Principles of Database Systems, PODS 2013
    CountryUnited States
    CityNew York, NY
    Period6/22/136/27/13

    Keywords

    • Approximate nearest neighbor
    • Indexing uncertain data
    • Probabilistic nearest neighbor
    • Threshold queries

    ASJC Scopus subject areas

    • Software
    • Information Systems
    • Hardware and Architecture

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  • Cite this

    Agarwal, P. K., Aronov, B., Har-Peled, S., Phillips, J. M., Yi, K., & Zhang, W. (2013). Nearest neighbor searching under uncertainty II. In PODS 2013 - Proceedings of the 32nd Symposium on Principles of Database Systems (pp. 115-126). (Proceedings of the ACM SIGACT-SIGMOD-SIGART Symposium on Principles of Database Systems). https://doi.org/10.1145/2463664.2465219