Cosine Similarity
Cosine compares vector directions. Normalization changes distance rankings, coordinate scaling changes meaning, and retrieval thresholds need evaluation.
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Embedding Similarity
The dot product ties two candidates at 10.0000 that cosine separates at 1.0000 and 0.9806. The metric is not a formatting choice.
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Word Embeddings
A word’s meaning is approximated by the company it keeps. That single idea produces vectors you can do arithmetic on.