Sentence examples for General regularization from inspiring English sources

In the next section we present a general regularization method for VI (1.1) with the regularizer being a Lipschitz continuous and strongly monotone operator.

We provide a general regularization method for monotone variational inequalities, where the regularizer is a Lipschitz continuous and strongly monotone operator.

Recently, Xu and Xu [22] provided a general regularization method for solving MVIP (1.1), where the regularizer is a Lipschitz continuous and strongly monotone operator.

The main aim of this paper is to present a general regularization method and investigate the error estimate between the regularized solution and the exact solution.

Theorem 1 (A general regularization method).

In general, regularization is introduced to prevent over fitting when the number of observations is not sufficiently larger than that of unknown parameters.

In theoretical results, we have suggested a general filter regularization method of regularized solution (Section 2.2).

Considering the sparsity of force in the time domain or in other basis space, we develop a general sparse regularization method based on minimizing l1-norm of the coefficient vector of basis functions.

Actually, the general alternative regularization algorithm is a variant of the viscosity algorithm (1).

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

Here our research intends on focusing a sharp boundary, following general Tikhonov regularization inversion within the framework of L2 norm, which is justified by general Gaussian distribution of EM data (Fournier and Febrer 1976; Weaver et al. 2000).