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Calculus of the Likelihood |

Choice of the estimator |

How to

We have to optimize a
criterion which depends on the hyperparameters.
It is the Maximum
Likelihood Estimator on the observed image
Y
w.r.t. and : |

**maximizing a probability** w.r.t.
and
:

probability to obtain the datafrom the initial imageY,X

(joint likelihood ofand hyperparameters)X

probability on the imagea prioriX

calculatedonly taking into account the constraints

characterizes the type of regularization -function