Better estimation of small sobol' sensitivity indices

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 that adjust using the true but unknown mean of the function. The new estimator attains a better rate of convergence than the old one in a small effects limit. When the target Sobol' index is quite large, the oracles do better than the new method.

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