Sentence examples for using a hierarchical basis from inspiring English sources

This can be implemented easily by using a hierarchical basis for the edge functions [14].

Using a hierarchical basis representation, we construct a sparse finite element approximation space, reducing the degrees of freedom from the standard O(h−d) to O(h−1|log2h|d−1) for d-dimensional problems, where h is the uniform mesh size in each dimension.

The arrays were clustered using a hierarchical clustering algorithm [ 28], which groups genes and samples on the basis of their expression similarities.

Algorithmically, using a hierarchical depth estimation has two different effects.

Effectiveness is analysed by using a hierarchical linear model.

Leader behaviour, however, is coded using a hierarchical format.

13 Normally, clusters are constructed using a hierarchical tree.

Levels were theoretically organized, using a hierarchical approach.

First, we use a hierarchical orthogonal basis to perform reconstruction.

The method by Radivojac et al. uses a hierarchical neural network classifier trained on the basis of amino acid properties averaged over a fixed-size window.

We used a hierarchical clustering algorithm, Ward's method [ 29], to classify metabolites in the glycolytic pathway on the basis of their correlation matrix that was computed using all data throughout the 24-hr period.