Sentence examples for that the regularized from inspiring English sources

To this aim, we first observed using simulations that the regularized Newton algorithm is rather robust with respect to the choice of the regularization parameter.

In this section, we study the relation between the l 1 regularization projection model (6) and the original model (5), which indicates that the regularized model is a good approximation.

We show that the regularized Heaviside function can be non-smooth on non-uniform meshes.

From the numerical results, it shows that the regularized solutions are convergent to the exact solutions.

These examples show that the regularized reconstruction of the delay neural kernel is practically feasible.

Then, we show that the regularized solutions converge to x0 ∈ S0, the -minimal norm solution defined by.

Assume that is the regularized solution (2.4), with exact data and is the regularized solution with noisy data ; then (2.25).

Recent advances to solve the inverse problem of gravimetric data are based on the use of deterministic approaches that utilize the regularized least squares techniques and the differentiability of the objective function subject to minimization (e.g., Zhdanov 2002).

Recent advances to solve the inverse problem of SP data are based on the use of deterministic approaches that utilize the regularized least squares techniques and the differentiability of the objective function subject to minimization (e.g., Mehanee 2014a; Soueid Ahmeda et al. 2013).

Next we prove that, for the regularized problem, we have stable dependence of the data.

The most notable difference in the results is the linearity that was in use in the regularized regression versus the nonlinearity that is inherent in random forests (see Figures 3 and 4).