Equation 30 · How a Model Actually Gets Small Enough to Run on a Phone
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the scale. Read the equation part by part below; each part has a contextual explanation and a link to its mathematical background.
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for a signed integer of b bits. An 8-bit integer has 2^8=256 representable levels; a 4-bit integer has 2^4=16 . That sixteen-fold reduction in available codes is the entire cost of quantization in one number. Treating the rounding error as approximately uniform over one quantization step s , its expected squared magnitude is the classical result
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