Equation 1 · Part 5 · Edge AI Electronics and Sensor Systems in Practice: Quantization, Power Budgets, and Sensor Front Ends
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
…end to end. The scheme that made this practical for commodity hardware is an affine mapping between a real value and its stored integer, . where r is the real-valued number, q is the stored integer, S > 0 is a scale factor, and Z is an integer zero-point chosen so that real zero maps exactly onto a representable integer — a detail that matters because operations like zero-padding and ReLU depend on zero being represented without rounding error. Jacob and colleagues showed that with this…
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.