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math.ST2021★ 4 cited
On some information-theoretic aspects of non-linear statistical inverse problems
Richard Nickl, Gabriel Paternain
Results by van der Vaart (1991) from semi-parametric statistics about the existence of a non-zero Fisher information are reviewed in an infinite-dimensional non-linear Gaussian reg…
math.ST2020
Statistical guarantees for Bayesian uncertainty quantification in non-linear inverse problems with Gaussian process priors
François Monard, Richard Nickl, Gabriel P. Paternain
Bayesian inference and uncertainty quantification in a general class of non-linear inverse regression models is considered. Analytic conditions on the regression model $\{\mathscr…