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Selecting Stars: The k Most Representative Skyline Operator
Xuemin Lin; Yidong Yuan; Qing Zhang; Ying Zhang;
Data Engineering, 2007. ICDE 2007. IEEE 23rd International Conference on
15-20 April 2007
Page(s):86
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95
Abstract:
Skyline computation has many applications including multi-criteria decision making. In this paper, we study the problem of selecting k skyline points so that the number of points, which are dominated by at least one of these k skyline points, is maximized. We first present an efficient dynamic programming based exact algorithm in a 2d-space. Then, we show that the problem is NP-hard when the dimensionality is 3 or more and it can be approximately solved by a polynomial time algorithm with the guaranteed approximation ratio 1-1/e. To speed-up the computation, an efficient, scalable, index-based randomized algorithm is developed by applying the FM probabilistic counting technique. A comprehensive performance evaluation demonstrates that our randomized technique is very efficient, highly accurate, and scalable.
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