Sentence examples for regularization condition from inspiring English sources

To improve the stability of the solution, a regularization condition is added to Eq. (2) to obtain: min x (‖ A x - b ‖ 2 2 + λ 2 ‖ W L x ‖ 2 2 ) (3)The second term in Eq. (3) provides a smoothness constraint whose weight is controlled by the Lagrange multiplier.

Therefore, methods, such as TV minimization, additionally apply regularization conditions on the reconstruction.

Alternatively one can use a mixed DG formulation and enforce the gauge condition (nablacdot(mu^{-1}mathbf {A}) = 0) explicitly to avoid the introduction of a regularization term [6].

The regularization term (15).

With α the regularization term.

Where λ is the regularization parameter, G q) is the regularization term.

Spatial regularization of the initial condition analogous to the deterministic case is obtained.

The major advantage of the present method is to remove numerical difficulties associated with the solution of the Hamilton Jacobi equations in most conventional level set methods, such as the CFL condition, the regularization procedure to retain a signed distance level set function and the non-differentiability related to the Heaviside and the Delta functions.

Sufficient linear matrix inequalities (LMIs) conditions for regularization of uncertain singular fractional-order systems are given.

The application of the current material formulation leads to a regularization of the Karush Kuhn Tucker conditions.

However, we all know that the minimization problem (1.2) has more than one solution under suitable conditions, so regularization is essential in finding the unique solution of the minimization problem (1.2).