Similar results hold for the oxidation of alkenes to alkynes, and alkanes to alcohols, see Table and Figures and. Visually, it also appears that the average oxidation vectors, across reaction classes, i.e for alkane, alkene, and alcohol oxidation in the PCA space appear to be largely colinear from the Figures. To confirm that this colinearity is not a coincidence of the 2D projection space, we can measure the cosine similarity between the average vectors in the original high-dimensional space, see Table . In the Table, the off-diagonal elements show the average cosine similarity between reaction classes (ex. between alkane oxidation and alkene oxidation) taken by considering the cosine similarity between the average reaction vectors of those classes,