Specifically, given a row element r, a column element c and a counting function C(r, c), then where C(r, c) is how many times r cooccurs with c, C(r, * ) is the total count of r, C( * , c) is the total count of c, and C( * , * ) is the cumulative cooccurrence count of any r with any c. The dimensionality of the space was reduced using Singular Value Decomposition (SVD), as in Latent Semantic Analysis and related distributional semantic methods (Landauer and Dumais, 1997;Rapp, 2003;Schütze, 1997).
we predict that the nearest neighbors are more dispersed for adjectives that cannot be modeled as first-order properties (i.e., intensional adjectives), than for those that can (here, the color terms).