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Anisotropy Decides Cosine vs. Rank Metrics for Text Embeddings

cs.CL · 2026-06-28 · conditional · novelty 7.0

Anisotropy, quantified by dominant-dimension variance fraction, determines the best parameter-free similarity metric for text embeddings, with rank-based metrics gaining ~20% relative where cosine is weakest.

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  • Anisotropy Decides Cosine vs. Rank Metrics for Text Embeddings cs.CL · 2026-06-28 · conditional · none · ref 15

    Anisotropy, quantified by dominant-dimension variance fraction, determines the best parameter-free similarity metric for text embeddings, with rank-based metrics gaining ~20% relative where cosine is weakest.