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Words exist as vectors in high-dimensional space. Similar meanings cluster together. We use OpenAI text-embedding-3-large to measure semantic distance.
We measure how "close" two words are using cosine similarity - the cosine of the angle between their vectors. Raw values range from -1 (opposite) to 1 (identical).
cosine(A, B) = (A · B) / (||A|| × ||B||)
Raw cosine values cluster between 20-60%, making differences hard to read. We apply a sigmoid transform to spread them across 0-100%:
s = xn / (xn + (c(1-x))n)
Nerd mode (in options) shows the raw cosine similarity alongside the transformed value.
OpenAI text-embedding-3-large - 3072 dimensions, state-of-the-art semantic understanding.
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