Estimating the sortedness of a data stream

@inproceedings{Gopalan2007EstimatingTS,
  title={Estimating the sortedness of a data stream},
  author={Parikshit Gopalan and T. S. Jayram and Robert Krauthgamer and Ravi Kumar},
  booktitle={SODA},
  year={2007}
}
The distance to monotonicity of a sequence is the minimum number of edit operations required to transform the sequence into an increasing order; this measure is complementary to the length of the longest increasing subsequence (LIS). We address the question of estimating these quantities in the one-pass data stream model and present the first sub-linear space algorithms for both problems. We first present O(√n)-space deterministic algorithms that approximate the distance to monotonicity and… CONTINUE READING

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  • EDBT/ICDT Workshops
  • 2015
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