← All parts of this equation

Equation 9 · Part 1 · How Edge AI Electronics and Sensor Systems Actually Work

Real-valued model value

r=S (q−Z),r = S\,(q - Z),
rr

What this part means

One numerical weight or activation as the model uses it. “Real-valued” means it belongs on the continuous number line: it can be negative, zero, fractional, or positive. In a computer it is stored with finite precision, so the stored float is only an approximation to a mathematical real number.

Its job in the formula

r is part of the quantity the equation computes from the expression on the right.

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 r=S (q−Z)r = S\,(q - Z). 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…

Read this part in the article →

Learn the underlying idea

A real number is any point on the number line. In the quantization equation, r is one numerical model value before it is represented by a compact integer code.

Open the illustrated real numbers in a neural network guide →

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.

Further reading for this equation