Explain breakthroughs on low-discrepancy sequences
Explain breakthroughs on low-discrepancy sequences.
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Taking a time of O (N) you can expect an accuracy of O (1/N1/2), with N function evaluations independent of the no. of dimensions. As given above, breakthroughs in the 1960s on low-discrepancy sequences demonstrated how clever, distributions and non-random could be used for an accuracy of O (1/N), to leading order. There is a weak dependency upon the dimension.
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Explain lognormal random walk based on Brownian motion.
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