Linear Algebra
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Vectors for Data Scientists: Geometry, Similarity and Projection From First Principles

Introduction Here is a small experiment that surprises almost everyone the first time they see it. Take a query vector q = [1, 0] and two candidate vectors: Cosine similarity says a is a perfect match (cos = 1.0) and b is merely decent (cos ≈ 0.707). Euclidean distance says the opposite: b is the…
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