One of the cool by-products of our training process is that the words arrange themselves in the high-dimensional space in such a way that similar words are near each other in the high dimensional space, and also in such a way that linear operations on these word vectors often produce interesting results. For example, capital cities all tend to lie in roughly the same direction from their corresponding country (see image). This often makes it possible to solve simple analogies by performing arithmetic on the vectors and looking for the nearest words in the embedding space. For example:
E("biggest") - E("big") + E("small") ~= E("smallest")
E("Italy") - E("Rome") + E("Paris") ~= E("France")
E("scientist") - E("Einstein") + E("Picasso") ~= E("painter")
The image in the blog post has a nice mapping of some of these high dimensional vectors down to a two-dimensional representation using principal components analysis where you can really see this effect for a few countries and capital cities.
Today, we're open sourcing some code to train models like this on your own textual data (see the blog post for details), and also releasing some pre-trained embeddings:
Thinking about what you want to do in the New Year? Instead of making resolutions, why not try a few 30 day challenges? They're over faster, you learn neat things from them, and they can be a ton of fun. Think of them like experiments to figure out how to be happier or healthier or learn new skills.
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