4. Bayesian approach to inversion
There are at least two reasons to place inverse problem solving within a Bayesian framework. Firstly, this is the framework in which local energy functions and Markovian modeling were introduced, and which has had a lasting impact on low-level image processing. But it also offers the most coherent and comprehensive answers to problems left open in other approaches, such as the choice of hyperparameters or the optimization of a multimodal criterion.
4.1 Inversion and statistical inference
To clarify the link between inversion and statistical inference, it is useful at this stage to summarize the analysis made in paragraph
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