Sentence examples for low number of dimensions from inspiring English sources

An example of PCA-based projection of the driving data onto a low number of dimensions (here, 2) is depicted in Fig. 12 for the segmented curve case.

After extensive experimentations, we managed to capture distinctive and characteristic information of the audio classes using a feature vector of rather low number of dimensions for every phase of the system's topology.

The cumulative coverage of data variance within the first 3 PCs is larger than 75%% in the case of the fingerprints MQN, SMIfp and APfp, which are relatively simple descriptions of the molecules resulting in a relatively low number of dimensions (Fig. 1a).

Multidimensional scaling methods represent the similarities and differences amongst high dimensionality objects into a space having a low number of dimensions, usually in 2 or 3 dimensions for visualization purposes [ 28].

Next, we used dimensionality reduction techniques (principal component analysis) to reduce the dimensions to 12 (the lowest number of dimensions that still contains most of the difference information, see Methods).

We show that the proposed analytical expressions provide high accuracy and that the SCN detector outperforms the well-known energy detector and the largest eigenvalue detector even with a small number of dimensions and low noise uncertainty environments.

Hence, it appears that the stochastic Galerkin method is only suitable for hyperbolic problems with a very low number of uncertain (stochastic) parameters (dimensions).

This is unsurprising given the multiple dimensions, low number of items and similar variance explained by each component.

Furthermore, the OBN and VRS dimensions contained a relatively low number of items, and the conceptual breadth of the VRS dimension was considered too narrow.

The asymptotic effect is clear in Fig. 8, where, for a low number of antennas, the orthogonal properties of large dimension arrays do not hold.

Dimensions with an exceptionally low number of products were amplified again.