Sentence examples for dimension of basis from inspiring English sources

As to the selections of reduced vertical dimension of basis matrix W (i.e., K) and weight parameters λ1, λ2, λ3, λ4, γ1, and γ2 (Supplementary Figure S1), we detailed them in Supplementary Material.

One difficulty with the standard version of the GMM and factor analysis is that the number of clusters and dimension of the basis must be set a priori.

Sparse methods can also be directly extended to 2D situation, but they will significantly increase the dimension of over-complete basis or the dictionary [14].

Our choice of basis dimension was as large as practical, to allow the data to determine the complexity of the fitted functions.

The gam approach required the choice of basis dimension number, which was varied from 3 (less smooth) to 6 (more smooth).

Either one takes the option to simply drop the notion of dimension on the basis of the argument that the concept of dimension presupposes a concept of continuity and topology and hence has no finitist meaning.

Given the variety of instruments for measuring patients' experiences and satisfaction, which to some extent vary significantly in their exclusion and inclusion of individual dimensions, we decided to compile one single framework of dimensions on the basis of a systematic review of reviews of relevant measurement instruments.

Moreover, the dimension of the corresponding wavelet basis increases with the spline degree.

To reduce the dimension of the features, wavelet basis decomposition is used to produce more compact features.

Based on expert knowledge the flexibility of the 1-dimensional splines was validated as sufficient and the default spline basis dimension of k = 10 was not increased.

Again model improvement was validated by a stepwise integration of predictors, and by increasing the basis dimension of the 2-dimensional spatial trend function (Tables 3 and 4).