inclass2-randomness

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3/15/2016 [2/4] Timing data - In-class work: Randomness - RELATE https://relate.cs.illinois.edu/course/cs357-sp16/flow-session/99982/1/ 1/2 Timing data Consider the following timing data: size time n=5 7.5 s n=10 20.7 s n=50 378 s n=100 1.44 ms n=200 6.72 ms n=300 13.4 ms n=400 27.5 ms n=500 40.4 ms n=1000 183 ms What can we conclude from this data? μ μ μ Choice* n≈0.08 t t n Growth in time is exponential t n2
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3/15/2016 [3/4] Convergence - In-class work: Randomness - RELATE https://relate.cs.illinois.edu/course/cs357-sp16/flow-session/99982/2/ 1/1 Convergence Suppose a Monte Carlo method exhibits an error of when it is run using n=1000 random samples. In order to reduce the error to
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