Homograph is a word that shares the same written form as another word but has a different meaning, like right in the sentences below:
The English word "right", in the first case is translated to Swedish as "rätt" and to "höger" in the second case. The correct translation is possible by looking at the context (surrounding words).
Question 1. I wonder if fasttext aligned word embedding can come to help for translating these homograph words or words with several possible translations into another language?
[EDIT] The goal is not to query the model for the right translation. The goal is to pick the right translation when the following information is given:
Question 2. I loaded the english pre-trained vectors model and the English aligned vector model. While both were trained on Wikipedia articles, I noticed that the distances between two words were sort of preserved but the size of the dataset files (wiki.en.vec vs wiki.en.align.vec) are noticeably different (1GB). Wouldn't it make sense if we only use the aligned version? What information is not captured by the aligned dataset?
For question 1, I suppose it's possible that these 'aligned' vectors could help translate homographs, but still face the problem that any token only has a single vector – even if that one token has multiple meanings.
Are you assuming that you already know that right[en] could be translated into either rätt[se] or höger[se], from some external table? (That is, you're not using the aligned word-vectors as the primary means of translation, just an adjunct to other methods?)
If so, one technique that might help would be to see which of rätt[se] or höger[se] is closer to other words that surround your particular instance of right[en]. (You might tally each's rank-closeness to every word within n spots of right[en], or calculate their cosine-similarity to the average of the n words around right[en], for example.)
(You could potentially even do this with non-aligned word vectors, if your more-precise words have multiple, alternate, non-homograph/non-polysemous translations in English. For example, to determine which sense of right[en] is more likely, you could use the non-aligned English word vectors for correct[en] and rightward[en] – less polysemous correlates of rätt[se] & höger[se] – to check for similarity-to-surrounding words.)
A write-up that might create other ideas is "Linear algebraic structure of word meanings" which, quite surprisingly, is able to tease-out alternate meanings of homograph tokens even when the original word-vectors training was not word-sense-aware. (Might the 'atoms of discourse' in their model be equally findable across merged/aligned multi-language vector spaces, and then the closeness-of-context-words to different atoms a good guide to word-sense-disambiguation?)
For question 2, you imply the aligned word set is smaller in size. Have you checked if that's just because it includes fewer words? That seems the simplest explanation, and just checking which words are left out would let you know what you're losing.