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The visualization of chemical space depends on both the molecular representation and on the visualization technique used to reduce a multidimensional space to two or three dimensions [27, 62].
Here again, PCA reduced this multidimensional space to a small number of PCs.
Given the complexity of interpreting such a multidimensional matrix, PCA was applied to reduce this multidimensional space to a small number of principal components (PCs).
Principal coordinate analyses transforms a complex multidimensional space to another orthogonal set of axes, such that the first principal coordinate reflects the largest portion of the structural variance in the data set, the second one the next largest, and so on.
We therefore use the position of known precursors in this multidimensional space to identify the region of interest and select the candidates populating it.
During training, each bout was assigned a position in 5-dimensional space corresponding to its values for the 5 parameters, and decision boundaries were drawn in multidimensional space to separate the two types of behavior.
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The second approach is to use continuous multidimensional space model to describe emotions.
It proposed that molecular evolution of a gene occurs in a multidimensional space corresponding to the same canonical number of molecular phenotypes.
The approach taken here instead searches for outliers within the multidimensional space corresponding to the genes in a pathway, based on the hypothesis that these pathways allow the identification of shared endophenotype [ 43].
To further analyze the data, we employed PCA, which can reduce the dimensionality of the gene expression profiles and map individual cells in a multidimensional space according to their global gene expression patterns (see Section 2.3 for the explanation of PCA).
Principal component analysis is an effective method to reduce multidimensional data space to its main components and, therefore improves the human perception ability of the data.
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