Google is making a big deal of being able to take vector Paris, subtract from it vector France, and then add on vector Italy and get as an answer vector Rome. (for example, AI Weekly, 11 Feb. 2016)
Chapter 5 of my book Twelve Papers (www.robert-w-jones.com, book) pg 56-57 does the same thing with vector kitten - vector cat + vector dog = vector puppy. My example was (intentionally) a low dimensional toy example but worked in the same way.
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