Sentence examples for as the dimension increases from inspiring English sources

However, the integral is increasingly more difficult as the dimension increases.

The traces above can be computed, as the dimension increases, using combinatorial tools.

The idea to show this is to compute, as the dimension increases, the moments of the matrix H, that is the trace at different exponent.

In principle, the methods described here work in any dimension; in practice the numerical challenges, particularly evaluating the integral in (2) and the time needed to work limit us as the dimension increases.

The number of proposed parents increases the dimension of the model and the estimation procedure accuracy is expected to be affected as the dimension increases.

This has to do with the curse of dimensionality, which simply means that the same number of points quickly become more scarcely packed as the dimensions increase, and that a corresponding density estimation will be based on fewer and fewer neighboring points.

It is clear from the figure that as the terrain dimension increases, the average routing delay also increases.

However, as the computational dimension increases, the ability to meet all of the requirements of the ultimate solution becomes more difficult.

Hence as the embedding dimension increases the measured distance will increase until the correct embedding dimension is found (Fig. 4(b)), where after the distance remains constant (Fig. 4(c)).

With the use of SVM classifier, although the gene selection method of SVMRFE first hits the best training as the feature dimension increases, almost all gene selection methods achieve the best before the feature number increases to 100, in such case, it is hard for us to determine the best model with the use of learning classifier SVM.

The soot particles become more compact again as the fractal dimension increases during the subsequent combustion period.