Lecture 11 : Clustering and the Spectral Partitioning Algorithm

نویسندگان

  • Shayan Oveis Gharan
  • Yueqi Sheng
چکیده

In the design of randomized algorithms, we sometimes wish to estimate some quantity using an unbiased estimator. (Say we wish to estimate some quantity A, X ∼ μ is an unbiased estimator if E[X] = A.) We would like those estimations to be close to its mean w.h.p. Given some distribution μ, let Y1, · · · , Yn be i.i.d samples from μ and Y = 1 n ∑ i Yi be the empirical mean. Recall that in Problem 3, PS2, setting n = 25 or 50 doesn’t make that much of a difference.

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تاریخ انتشار 2016