Improved Algorithms via Approximations of Probability Distributions

@article{Chari2000ImprovedAV,
  title={Improved Algorithms via Approximations of Probability Distributions},
  author={Suresh Chari and Pankaj Rohatgi and Aravind Srinivasan},
  journal={J. Comput. Syst. Sci.},
  year={2000},
  volume={61},
  pages={81-107}
}
We present two techniques for constructing sample spaces that approximate probability distributions. The first is a simple method for constructing the small-bias probability spaces introduced by Naor and Naor. We show how to efficiently combine this construction with the method of conditional probabilities to yield improved parallel algorithms for problems such as set discrepancy, finding large cuts in graphs, finding large acyclic subgraphs etc. The second is a construction of small… CONTINUE READING
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