Inference in infinite-dimensional inverse problems - Discretization and duality

@inproceedings{Stark1992InferenceII,
  title={Inference in infinite-dimensional inverse problems - Discretization and duality},
  author={Philip B. Stark},
  year={1992}
}
Many techniques for solving inverse problems involve approximating the unknown model, a function, by a finite-dimensional “discretization” or parametric representation. The uncertainty in the computed solution is sometimes taken to be the uncertainty within the parametrization; this can result in unwarranted confidence. The theory of conjugate duality can overcome the limitations of discretization within the “strict bounds” formalism, a technique for constructing confidence intervals for… CONTINUE READING

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