On Approximating the Average Distance Between Points

  title={On Approximating the Average Distance Between Points},
  author={Kfir Barhum and Oded Goldreich and Adi Shraibman},
We consider the problem of approximating the average distance between pairs of points in a high-dimensional Euclidean space, and more generally in any metric space. We consider two algorithmic approaches: 1. Referring only to Euclidean Spaces, we randomly reduce the highdimensional problem to a one-dimensional problem, which can be solved in time that is almost-linear in the number of points. The resulting algorithm is somewhat better than a related algorithm that can be obtained by using the… CONTINUE READING

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