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Better estimation of small Sobol' sensitivity indices (1204.4763v1)
Published 21 Apr 2012 in stat.ME and cs.NA
Abstract: A new method for estimating Sobol' indices is proposed. The new method makes use of 3 independent input vectors rather than the usual 2. It attains much greater accuracy on problems where the target Sobol' index is small, even outperforming some oracles which adjust using the true but unknown mean of the function. When the target Sobol' index is quite large, the oracles do better than the new method.