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Dot product

The dot product combines coordinate-wise products into a scalar and is used as a similarity score in attention. Its magnitude depends on vector norms, which is why scaled dot-product attention divides by the square root of key dimension.

\mathbf{x}\cdot\mathbf{y}=\sum_i x_i y_i

Overview. The dot product combines coordinate-wise products into a scalar and is used as a similarity score in attention.

Context. Its magnitude depends on vector norms, which is why scaled dot-product attention divides by the square root of key dimension.

Claims and evidence

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