Most of the successful and predominant methods for Bilingual Lexicon Induction (BLI) are mapping-based, where a linear mapping function is learned with the assumption that the word embedding spaces of different languages exhibit similar geometric structures (i.e., approximately isomorphic).
the MUSE dataset consists of Fasttext monolingual embeddings of 300 dimensions (Bojanowski et al., 2017) trained on Wikipedia monolingual corpus and gold dictionaries for 110 language pairs.