It's interesting and slightly uncomfortable that the illustration for similar words uses the word "man" as an example, given the gender biases that result from learning word vectors solely from word distributions. To explain, although I’m sure the author himself is familiar with the issue: For any word that is disproportionately associated with one gender in the corpus, the model will learn that gender difference as…
In modern linguistics grammar is used descriptively rather than prescriptively, i.e. it's about describing how speakers actually use language rather than being about telling them how to use language 'properly'. If there's gender bias in certain words it might be interesting to point that out but it's not the linguists' job to 'de-bias' the grammar and the underlying model. There's an undeniable gender bias in certain…
There is no objective way to describe this difference between your training set and your test set, because you don't have data from the future. It requires a conscious decision. Enforcing that the future should be like the past is a conscious decision, and it's a lazy and unfortunate one.
This is just one instance of a problem that ML is already quite familiar with, and has been since "ML" was called "statistics": observed data produces a biased estimator of the actual distribution. You always have to correct your objectively-measured distributions for what you can't measure objectively. Here I mean "biased" in the mathematical sense; when it comes to human biases encoded in word embeddings, it also produces bias in the ethical sense. But there are many simpler instances of this.
For example: a maximum-likelihood language model assigns a probability of 0 to any word it has never seen. Maximum likelihood is, when measured, a better model of the input data than anything else. If you implement this completely objective language model, it would be useless when applied; it would output the impossible probability of 0 for most inputs. Instead you have to "smooth" and "correct" it for the fact that other words exist.
[1] https://twitter.com/random_walker/status/975700725807439879