Sentence examples for require regularization from inspiring English sources

New implicit and explicit operators are derived that do not require regularization for stability in the linear limit.

We also note here that while PCA methods have similar performances between performances on training and test data, MDA and MGD require regularization to prevent over-fitting of training data sets.

The nonlinearities involved along with the finite and discrete sampling of the body's response provided by the measurement data containing instrumentation noise, lead to solution instability and multiplicity that require regularization.

It is therefore in contrast to alternative strategies such as Naïve Bayes (NB) models [9], which require regularization methods and have challenges of computational efficiency in the presence of many data sets [10].

This technique requires regularization done by a low-pass filter in the wavenumber domain.

Generally, the damage estimation is an ill-posed inverse problem, and hence requires regularization.

Computing the DRT is difficult because it is an intrinsically ill-posed problem often requiring regularization.

The inverse boundary condition estimation problem in radiating enclosures involves the solution of an ill-posed system that requires regularization to obtain a reasonable physical solution.

As the solution of the anti-diffusion equation requires regularization, a limiter based on the directional derivative is developed for calculating the gradient of the volume fraction.

The equations of the problem are discretized through a standard FEM approach and the resulting ill-conditioned discrete problem is solved within the frame of the Tikhonov approach, the choice of the required regularization parameter is accomplished through the Generalized Cross Validation criterion.

Thus it requires regularization techniques to stabilize the numerical computations [1].