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Lower Bounds for High Dimensional Nearest Neighbor Search and Related Problems (1999)  (Make Corrections)  (25 citations)
Allan Borodin, Rafail Ostrovsky, Yuval Rabani



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Abstract: In spite of extensive and continuing research, for various geometric search problems (such as nearest neighbor search), the best algorithms known have performance that degrades exponentially in the dimension. This phenomenon is sometimes called the curse of dimensionality. Recent results [33, 32, 35] show that in some sense it is possible to avoid the curse of dimensionality for the approximate nearest neighbor search problem. But must the exact nearest neighbor search problem suffer this... (Update)

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BibTeX entry:   (Update)

A. Borodin, R. Ostrovsky, Y. Rabani. Lower Bounds for High Dimensional Nearest Neighbor Search and Related Problems. In Proc. of STOC, 1999. http://citeseer.ist.psu.edu/article/borodin99lower.html   More

@inproceedings{ borodin99lower,
    author = "Allan Borodin and Rafail Ostrovsky and Yuval Rabani",
    title = "Lower bounds for high dimensional nearest neighbor search and related problems",
    pages = "312--321",
    year = "1999",
    url = "citeseer.ist.psu.edu/article/borodin99lower.html" }
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