Sentence examples for cross validation criterion from inspiring English sources

The Akaike information criterion (AIC), the Chi-square test, the cross validation criterion, and others are methods used to compare models with different numbers of predictor variables [34].

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.

The Likelihood cross validation criterion is used to compare the different models.

The model selection was performed using generalized cross validation criterion [ 62] as implemented in the MGCV library in R (version 2.10.1 [ 58]).

In fact, all the above mentioned predictor weights deliver identical values for the cross-validation criterion, thus they are all equivalent solutions of the cross-validation approach.

Table 1 Results (predictor weights V, donor weights W for main application and in training period, cross-validation criterion) obtained in different ways     ADH Orig.

We show that averaged squared error (ASE) is a good approximation of MISE; however, this is not the case for a cross-validation criterion.

The optimal regularization parameter is chosen by the generalized cross-validation criterion and the discrete Picard condition is employed to analyze the ill-posedness of the inverse problem.

First, in the so-called "training" step, V∗ is determined by minimizing the cross-validation criterion, thereby making use of "training" weights (W^_{ text {train})}(V)) as defined by Eq. (1).

The standard Tikhonov regularization technique with the generalized cross-validation criterion for choosing the regularization parameter is adopted for solving the resulting ill-conditioned system of linear algebraic equations.

"ADH result" denotes the corresponding result obtained by Abadie et al. (2015), "ADH Main Result" their result obtained for complete data Table 2 Results (predictor weights V, donor weights W for main application and in training period, cross-validation criterion) obtained in different ways     ADH Min.