Sentence examples for by the extrapolation algorithm from inspiring English sources

To proceed, we denote x = (x 0  x 1 ⋯ x N − 1) t, where the superscript t indicates transpose, the vector of abscissas x n  = n Δ, n = 0,1,⋯, N − 1, to which the samples generated by the extrapolation algorithm are to be orderly associated, as indicated in Fig. 2.

Table 5 Numerical values of B σ e comparing the Extrapolation algorithm of Bishop and our MLP with different sizes of the Gaussian blur B σ e Gaussian Extrapolation MLP 7 × 7 17.79 14.13 9 × 9 18.28 14.23 11 × 11 17.93 14.18 13 × 13 17.67 13.86 15 × 15 17.40 13.71 17 × 17 17.12 13.51 Figure 12 Restoration results from the Barbara degraded image by Gaussian blurs 7 × 7 and 17 × 17.

This type of errors concurs to limit the accuracy and range of the extrapolation algorithms to be shortly derived.

Besides, by applying the Richardson extrapolation algorithm, the proposed methods have a convergence rate of (mathcal{O} tau^{4} + h^{4})) in the maximum norm.

In this Section we test the slope extrapolation algorithm on the artificial eye of Section 3.1.

As reported in previous papers, extrapolation of wavefront boundary can be achieved either with Gerchberg-type iterations or the extension method by copying the boundary slope [ 20– 22]. Figure 2 is the flow chart we designed for the slope extrapolation algorithm.

Apparently the slope extrapolation algorithm produced equivalent image quality to that using the optimum sampling aperture size, but provided more stable results.

The restored images obtained by the Extrapolation and the MLP algorithms are placed in a row of Figure 11.

Based on the same dataset, Riddick et al. built an ensemble regression model using Random Forest [ 10]; Lee et al. developed a co-expression extrapolation algorithm by comparing the differences of gene expression between sensitive and resistant cell lines [ 11].

Polyak [18, 19] first introduced the inertial extrapolation algorithms, which were widely studied as an acceleration process.

The voiced speech signal is decomposed into harmonic and noise components using an iterative signal extrapolation algorithm.