Question about Optimized Scalar Quantization

They are used after the dot product calculation for distance to bring the outcome more in line with an approximation of the raw distance calculation.

geometry example, to me seems more about describing the geometry properties of the vectors

agreed; I think it's meant to help ground the reader to understand why the math works to make this more efficient.

@john-wagster as always, thanks for your quick reply.

They are used after the dot product calculation for distance to bring the outcome more in line with an approximation of the raw distance calculation.

yes, that is why I thought that the correction is not directly related to the geometry properties of the vectors, and the geometry properties description seems more related to $\bar{x}$.

yes, that is why I thought that the correction is not directly related to the geometry properties of the vectors, and the geometry properties description seems more related to $\bar{x}$.

yes you got it!

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