Space Efficient Streaming Algorithms for the Maximum Error Histogram

  title={Space Efficient Streaming Algorithms for the Maximum Error Histogram},
  author={Chiranjeeb Buragohain and Nisheeth Shrivastava and Subhash Suri},
  journal={2007 IEEE 23rd International Conference on Data Engineering},
We propose new algorithms for constructing maximum error (L∞) histograms in the data stream model. Our first algorithm (Min-Merge) achieves the following performance guarantee: using O(B) memory, it constructs a 2B-bucket histogram whose approximation error is at most the error of the optimal B-bucket histogram. Our second algorithm (Min-Increment) achieves a (1 + ε)-approximation of a B-bucket histogram using O(ε-1 B log U) space, where U is the size of the domain for data values. The memory… CONTINUE READING
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