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THOI: An efficient and accessible library for computing higher-order interactions enhanced by batch-processing

Fig 6

A) Spearman correlation matrix of features across datasets.

Colors code different types of features. ‘prop. syn-plets’ is the proportion of synergy-dominated n-plets out of the total number of n-plets. ‘order max ’ and ‘order min ’ is the order where was maximized and minimized, respectively, normalized by the system size. ‘mean MI’ and ‘std MI’ are the mean and standard deviation of the pairwise mutual information for each dataset. The prefix ‘whole’ indicates that the whole system was considered (i.e., all the system variables). B) Cumulative explained variance associated with each PC after PCA. The first four components capture approximately 95% of the variance. C) Values of the first four PCs on each feature. Colors are the same as in A. PC1 captures the overall interdependencies, by grouping together all the ‘max’, ‘mean’, ‘whole’ and ‘MI’ related features. PC2 captures the overall independence by grouping together all the ‘min’ related features. PC3 captures the proportion of synergy-dominated interaction by grouping together ‘prop. syn-plets’ and the order at which is maximized and minimized. PC4 captures the behavior of , by grouping together its maximum, minimum, mean and whole-system values.

doi: https://doi.org/10.1371/journal.pone.0348005.g006