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Exact(7)
The shrinkage (7) is known as high-dimensional shrinkage formula.
The problem (2) is easy to be solved by a simple shrinkage formula, which is not used in this work.
It is obvious that our method is much more efficient than the MM method since our time complexity is just the same as one-step iteration in the MM method due to the explicit shrinkage formula.
From the deduction of the two-dimensional shrinkage formula (7) in Section 2.1, we know that the necessary condition of minimizing the ith term of the last line in (14) is that (z i ) g is parallel to (x i ) g.
This shows that the approximate part of our shrinkage formula is also good, and that when the inner step in [11, 12] is chosen to be 5, the numerical experiments are convergent although they did not find a convergence control sequence.
For S i j k 2 = ∑ ( p, q, m ) ∈ B i j k w p q m 2, the NeighShrink shrinkage formula is given by [29] Figure 3 An illustration of the neighboring window centered at the wavelet coefficient to be shrinked.
Similar(50)
In this subsection, we will review the original shrinkage formulas and their principles, since our new explicit OGS shrinkage formulas are based on them.
Numerical results verify the validity and effectiveness of our new inexact explicit shrinkage formulas.
In Section 3, we propose some extensions for these shrinkage formulas.
Numerical results are given to show the effectiveness of our new explicit shrinkage formulas.
That is the point of our new explicit OGS shrinkage formulas.
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