Before revision:  Accordingly, we propose to decouple word vectors into their norm and direction then computing the alignment-based similarity using earth mover's distance (  optimal transport cost), which we refer to as word rotator's distance.
After revision:  Accordingly, we propose to decouple word vectors into their norm and direction then computing the alignment-based similarity using earth mover's distance ( i.e., optimal transport cost), which we refer to as word rotator's distance.