An Introduction to Randomized algorithms - School of Technology ...
An Introduction to Randomized algorithms - School of Technology ...
An Introduction to Randomized algorithms - School of Technology ...
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Boosting Success Probability - IRun m independent trials <strong>of</strong> A(I , ɛ).Take ans <strong>to</strong> be the numerical average <strong>of</strong> {X 1 , . . . , X m }.E[ans] = µ and Var(ans) = Var(X )/m.Pr(ans ∉ [(1 ± ɛ)µ]) ≤ Var(X )/mɛ 2 µ 2 .Pr(success) ≥ 3/4 provided m ≥ 4E[X 2 ]/ɛ 2 µ 2 .a good approximation efficiently computable.
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