Sentence examples for that regularized from inspiring English sources

It is clear that regularized linear regression failed to cope with data non-linearity unless transformed variables were used in regression.

By applying a spectral graph theoretic regularization (Chung, 1997), we developed a method to transform the feature space based on the training examples so that regularized graph energy between data points of extremely different morphology is minimized.

Guillemont et al. presented a method called graph constrained discriminant analysis (gCDA) that regularized estimation of the gene covariances by the Laplacian matrix Lp of a known gene regulation network [ 31].

The reason is that regularized least-squares estimators may achieve a favorable bias/variance trade-off compared with classical Prediction Error Minimization (PEM) methods.

When the two models are cross-validated on an independent set of data (lower plot in Fig. 9) we see that the regularized model is in good agreement with the new data, while the non-regularized model heavily overshoots the data in the first period of the oscillation.

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.

Until now, we already stated that our regularized problem is a well-posed problem in the sense of Hadamard.

Recall that, in regularized sinc and Hermite interpolations methods, it is necessary that f is an L 2 -function.