Neural Word Embedding as Implicit Matrix Factorization Omer Levy Department of Computer Science Bar-Ilan University omerlevy@gmail.com Yoav Goldberg Department of Computer Science Bar-Ilan University yoav.goldberg@gmail.com Abstract We analyze skip-gram with negative-sampling (SGNS), a word embedding method introduced by Mikolov et al., and show that it is implicitly factorizing a word-context ma