Equation 9 · Part 6 · How Edge AI Electronics and Sensor Systems Actually Work
Decoded value
What this part means
Subtract Z from the stored code, then multiply by S. For q = 14, Z = 10, and S = 0.25, the code represents r = 0.25 × (14 − 10) = 1.00.
Its job in the formula
This part belongs to the expression shown above. Read it together with the other parts of the formula.
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The passage around this formula
The arithmetic-shrinking lever is quantization. A widely used scheme maps a real-valued weight or activation r onto a low-bit integer q through an affine relationship . with a scale S and a zero-point Z chosen so that ordinary 8-bit integers can represent the values a trained network actually produces. The 2018 paper that formalized this scheme for mobile and embedded inference showed that training the network with this quantization in the loop, rather than quantizing a finished floating-point model after the fact, preserves accuracy far better, and that integer-only arithmetic — no floating-point unit required anywhere in the inference path — can be implemented…
Learn the underlying idea
Quantization maps many possible numerical values onto a smaller set of codes. It helps a small device store and process a neural network using compact integer arithmetic.
Open the illustrated quantization: from a value to an integer code guide →
Sources cited in the surrounding passage
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