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So the question is: when does damping regularization of a non-physical noise become damping of a physical signal?
New implicit and explicit operators are derived that do not require regularization for stability in the linear limit.
Additionally, we do not employ any regularization parameters, freeing us from finding the optimal reconstruction using regularization.
In the derivation of the adjoint formulas, we do not include the regularization functional while considering the EOLS functional.
An important feature of the LDG discretizations presented in this article is that they are relatively simple, robust and do not require special regularization terms.
Throughout the inversion, we do not introduce any regularization (either spatial or temporal) in the form of a norm added to the objective function.
"Regularization does not mean rewarding those who break the law.
This technique requires regularization done by a low-pass filter in the wavenumber domain.
Note that Lu et al.'s regularization does no longer depend on t.
A first step of our neural net was given in a previous study [9] using the standard l2 norm in the energy function, as done in other regularization algorithms [11 15].
The training was done using Bayesian Regularization.
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