19 citations · 19 across the 9 of their papers we have counts for
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Robustness of the Sobol' indices to marginal distribution uncertainty
Joseph Hart, Pierre Gremaud
Global sensitivity analysis (GSA) quantifies the influence of uncertain variables in a mathematical model. The Sobol' indices, a commonly used tool in GSA, seek to do this by attri…
Global Sensitivity Analysis of High Dimensional Neuroscience Models: An Example of Neurovascular Coupling
J. L. Hart, P. A. Gremaud, T. David
The complexity and size of state-of-the-art cell models have significantly increased in part due to the requirement that these models possess complex cellular functions which are t…
Robustness of the Sobol' indices to distributional uncertainty
Joseph Hart, Pierre Gremaud
Global sensitivity analysis (GSA) is used to quantify the influence of uncertain variables in a mathematical model. Prior to performing GSA, the user must specify (or implicitly as…
An approximation theoretic perspective of the Sobol' indices with dependent variables
Joseph Hart, Pierre Gremaud
The Sobol' indices are a recognized tool in global sensitivity analysis. When the uncertain variables in a model are statistically independent, the Sobol' indices may be easily int…