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Results tagged with estimation
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user 48105
In signal processing, estimation is a technique for approximating an unobserved signal from an observed signal containing noise.
4
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Justification for Squared $ {L}_{2} $ Data and Smoothness Term as an Error Bound
Often in variational methods (and not only) we have an energy that is of the form:
$$E(u) = \frac{1}{2}\|f-u\|^2_2 + \frac{\alpha}{2}\|\psi(u)\|^2_2,$$
where the first term is referred to as the data …
- 195
1
vote
Justification for Squared $ {L}_{2} $ Data and Smoothness Term as an Error Bound
I figured out how to show that after some time. It's just Jensen's inequality wrt $\|\cdot\|^2_2$ which is a convex function. That is, I first apply the triangle inequality to:
$$\|u-g\|_2 = \|(1-\gam …
- 195