Reproduce “Zipfian Whitening” on OpenResearch

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About this paper

Sho Yokoi, Han Bao, Hiroto Kurita, Hidetoshi Shimodaira

A new post-processing technique for word embeddings, Zipfian Whitening, incorporates empirical word frequencies to address the anisotropy problem and improves embedding quality, outperforming standard methods. The approach also provides a theoretical framework explaining the success of several existing natural language processing models.

Key insights

  • Establishes a theoretical framework using exponential families, showing that informative words (those that significantly alter word distributions) naturally receive longer vector norms under a Zipfian prior.
  • Demonstrates that the success of existing methods like WhiteningBERT and Skip-Gram with Negative Sampling can be attributed to their implicit incorporation of Zipfian frequency information.
  • Introduces frequency-aware evaluation metrics (Degree of Centrality and Degree of Isotropy) that show strong correlation with downstream task performance, unlike uniform-based metrics, which show no correlation.

Summary by alphaXiv.

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