2 For every word i, we iteratively transform each word vector x i by first making the vectors unit length, and then making them mean zero, Equation 5and (6) project the embedding matrix X to the set of embeddings that satisfy Equation (3) and (4).
our method is a form of alternating projection (Bauschke and Borwein, 1996), an algorithm to find a point in the intersection of two closed sets by alternatively projecting onto one of the two sets.