153 citations · 179 across the 6 of their papers we have counts for
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math.NA2014
Optimal low-rank approximations of Bayesian linear inverse problems
Alessio Spantini, Antti Solonen, Tiangang Cui +3
In the Bayesian approach to inverse problems, data are often informative, relative to the prior, only on a low-dimensional subspace of the parameter space. Significant computationa…
stat.CO2014★ 153 cited
Likelihood-informed dimension reduction for nonlinear inverse problems
Tiangang Cui, James Martin, Youssef M. Marzouk +2
The intrinsic dimensionality of an inverse problem is affected by prior information, the accuracy and number of observations, and the smoothing properties of the forward operator.…