Equation 9 · Part 5 · How Edge AI Electronics and Sensor Systems Actually Work
Scale or step size
What this part means
A positive number saying how much one integer step is worth in the model’s units. If S = 0.25, moving q by 1 changes the decoded value by 0.25. A larger S covers more range with coarser spacing.
Its job in the formula
S is one of the signed contributions combined to compute the quantity on the left.
Full expression→Scale or step size→Article meaning
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…
Learn the underlying idea
The scale S is the size of one step on the decoded number line. It must be positive.
See this notation across published equations →
Sources cited in the surrounding passage
These citations provide research context; check each source for the exact claim it supports.