The popular skip-gram model induces word embeddings by exploiting the signal from word-context coocurrence. We offer a new interpretation of skip-gram based on exponential family PCA—a form of matrix factorization. This makes it clear that we can extend the skip-gram method to tensor factorization, in order to train embeddings through richer higher-order coocurrences, e.g., triples that include positional information (to incorporate syntax) or morphological information (to share parameters across related words). We experiment on 40 languages and show that our model improves upon skip-gram.

The original EACL 2017 paper can be found here

To run the tensor-factoization word embeddings code, run bash make-embeddings.sh from the hyperref-tensor directory
Right now, that example uses an early paragraph from Thoreau's Walden extracted from this website

1. hyperref-tensor: C code to generate word embeddings. The directory includes the original word2vecf code which we use as a baseline.

2. Universal_Dependencies: Data and code corresponding to UD experiments in the paper

If you make use of this code, please you the following citation:

@InProceedings{E17-2028,
  author = 	"Cotterell, Ryan
		and Poliak, Adam
		and Van Durme, Benjamin
		and Eisner, Jason",
  title = 	"Explaining and Generalizing Skip-Gram through Exponential Family Principal Component Analysis",
  booktitle = 	"Proceedings of the 15th Conference of the European Chapter of the Association for Computational Linguistics: Volume 2, Short Papers",
  year = 	"2017",
  publisher = 	"Association for Computational Linguistics",
  pages = 	"175--181",
  location = 	"Valencia, Spain",
  url = 	"https://aclweb.org/anthology/E17-2028"
}