This comes from the observation that the inner product of every two column vectors in X is the inner product of the corresponding column vectors of ΣV T , which can be derived from the equations below.
the semantic relatedness between the i-th and j-th words can be computed by cosine similarity 1 : When used to compare words, one well-known limitation of LSA is that the score captures the general notion of semantic similarity, and is unable to distinguish fine-grained word relations, such as antonyms (Landauer and Laham, 1998;Landauer, 2002).