For f ∈ F and c ∈ C, c ∈ C f if and only if c has the feature f where C f ⊂ C. The valid feature set F v is a subset of F such that f ∈ F v only if there exist more than three concepts that have f , or equivalently, |C f | > 3.
then the to examine how well each representation captures the normalized feature f i ∈ F v , we calculate the cosine similarity between R(c) for c ∈ C f i and R(C f i ) where R(•) is a mapping from concept to its distributed representation and C f i is a centroid of all concepts in C f i or C f i is a centroid of concepts that share the feature f i .