Tagged “metrics”
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Distance metrics and when each is right
Cosine, dot product and Euclidean measure different things — except when they don't. What each compares, and why normalization collapses all three.
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Maximum inner product is not nearest neighbour
Inner product isn't a metric, so the pruning every index relies on stops working. What breaks, the reduction that fixes it, and why normalising is easier.
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What similarity means as geometry
Similarity search works by turning meaning into position. What a vector space provides, which properties indexes depend on, and what the map loses.