This can be clearly seen in the word similarity experiments in Section 3.2, where fasttext achieves significantly better results than glove for the original embeddings, yet the results for their best post-processed embeddings are at par.
if one simply looks at the results of the original embeddings, they might wrongly conclude that fasttext is vastly superior to glove at encoding semantic similarity information, but this proves to be a mere illusion after applying our post-processing.