Afterwards, the contextualized vector in the original space, c, can be transformed into a vector in the reduced space, c R , by c R = Σ −1 k V T k c. Distributional semantic vectors are traditionally compared by measures which ignore vector magnitudes, such as cosine similarity, but a multivariate Gaussian is sensitive to magnitudes.
the final step is to normalize c R into a unit vector by dividing it by its L2 norm, || c R ||.