Turnstile streaming algorithms might as well be linear sketches

@inproceedings{Li2014TurnstileSA,
  title={Turnstile streaming algorithms might as well be linear sketches},
  author={Yi Li and Huy L. Nguyen and David P. Woodruff},
  booktitle={STOC},
  year={2014}
}
In the turnstile model of data streams, an underlying vector <i>x</i> ∈ {--<i>m</i>,--<i>m</i>+1,..., <i>m</i>--1,<i>m</i>}<sup><i>n</i></sup> is presented as a long sequence of positive and negative integer updates to its coordinates. A randomized algorithm seeks to approximate a function <i>f</i>(<i>x</i>) with constant probability while only making a single pass over this sequence of updates and using a small amount of space. All known algorithms in this model are linear sketches: they… CONTINUE READING

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