A note on the Karhunen-Lo\`eve expansions for infinite-dimensional Bayesian inverse problems
classification
🧮 math.ST
math.NAstat.TH
keywords
inversekarhunen-lonoteproblemssolutionapproximatingapproximationbayesian
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In this note, we consider the truncated Karhunen-Lo\`eve expansion for approximating solutions to infinite dimensional inverse problems. We show that, under certain conditions, the bound of the error between a solution and its finite-dimensional approximation can be estimated without the knowledge of the solution.
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