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Cool stuff! It wasn't described in the paper (afaict), but did you have ConceptNet embeddings as well? I can certainly see a way of creating embeddings by using all the links as context. (e.g. http://conceptnet5.media.mit.edu/web/c/en/knowledge)

edit: actually looks like you "retrofit" existing word embeddings by re-weighing based on strengths of the links.

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There kind of are ConceptNet embeddings. They weren't called "embeddings" when they were released, because it was 2008 [1]. Here's an example: http://conceptnet5.media.mit.edu/data/5.4/assoc/c/en/knowled...

We dropped working on those embeddings for a while because retrofitting was more effective. But we may have found a way to use the ConceptNet embeddings again, to improve languages besides English beyond what retrofitting is doing.

[1] http://dspace.mit.edu/handle/1721.1/51870

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