LSA: First dimension and dimensional weighting

Xuemei Hu, Zhiqiang Cai, Donald R. Franceschetti, Phanni Penumatsa, Arthur C. Graesser, Max M. Louwerse, Danielle S. McNamara · eScholarship (California Digital Library) · 2003

We report two discoveries concerning Latent Semantic Analysis (LSA).First, we observed the special properties of the …rst dimension of the LSA space.Second, we observed that dimensional weighting plays an important role in LSA analysis.Based on the …rst discovery, we examined the cosine matches without the …rst dimension.Based on the second discovery, we explored di¤erent dimensional weighting schemes.Based on these observations, we recommend a new algorithm for LSA cosine computation such that LSA becomes more sensitive to relevant similarities and di¤erences.

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