Sentence examples for regularization procedure from inspiring English sources

We note that by doing this we are using the regularities of PDEs indirectly, because the comparison principle in PDE literature relies on the regularities through a regularization procedure.

Regularized canonical correlation analysis (rCCA) increases the number of pseudo-observations in the regularization procedure of covariance matrices [ 29, 30].

A standard regularization procedure is needed (see [8] for details).

Since the regularization procedure is crucial in what follows, we shall sketch the outline.

The block diagram of the proposed system with the recursive regularization procedure.

According to the above two sections, our general iterative regularization procedure can be formulated as follows.

It is remarkable that the penetration depth is mesh-independent for fine meshes even without the special regularization procedures.

To overcome this difficulty and for obtaining stable approximate solutions for ill-posed problems, regularization procedures are employed, and Tikhonov regularization is one the such procedure.

To conclude this section, note that shrinkages and regularization procedures are linked in the sense that a shrinkage function solves to a regularization problem constrained by a specific penalty function [16].

Refined mesh design and sensible regularization procedures permit reasonable resolution of the Moho surface, whilst allowing variations within the crust and mantle to be modeled as part of the same procedure (Welford and Hall 2007; Welford et al. 2010).

In order to overcome the instability of the ill-posed problem, we propose two regularization procedures: the first method is based on the spectral truncation, and the second is a version of the Kozlov-Maz'ya iteration method.