Fig. B.1

Tuning the hyper-parameter μ for the total-variation regularization
with MiRA/SPARCO . Left: cost functions vs.
the hyper-parameter μ. Red line: χ2
(=).
Black dashed line:
(multiplied by 1000 for better graph visibility). Black solid line:
.
Blue line:
.
The vertical dotted line corresponds to the best regularization weight
μ+ found by the quality criterium.
Center: The L curve is one of the criteria to choose the
regularization weight μ. Black line: the values of
vs.
for a range of μ values from 1 to 106. Blue triangles:
points where μ = {1,10,102,103,104,105,106
}. Red triangle: the value where μ = μ+.
Right: the quality criterium graph is the distance between the
pixels of the reconstructed image to the real (here the model) one. Blue line: the
value of the quality criterium vs. the hyper-parameter μ. Dotted line: the
position of the minimum of the curve and the corresponding value of
μ =
μ+.
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