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 , and then computes alignment-based similarity using earth mover's distance ( optimal transport cost), which we refer to as word rotator's distance.