(2015), who try different ways of modulating the inclusion of perceptual input in their multi-modal skip-gram model, and find that the entropy of the centroid vector µ works well (where p(µ j ) = µ j || µ|| and m is the vector length): We calculate the directionality of a hyponymhypernym pair with a measure f using the following formula for a word pair (p, q).
since even cohyponyms will not have identical values for f , we introduce a threshold α which sets a minimum difference in generality for hypernym identification: s(p, q) > 0 iff f (q) > f (p) + α, i.e.