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Equation 9 · Part 3 · AI Accelerator Architecture in 2035: Scenarios, Signals, and Falsifiable Predictions

Symbol s

weff=w+skw_{\mathrm{eff}} = w + \frac{s}{k}
ss

What this part means

s occurs above the fraction bar. The numerator is divided by the entire denominator below it.

Its job in the formula

s occurs above the fraction bar. The numerator is divided by the entire denominator below it.

The passage around this formula

…has already happened once, and the mechanism by which it happened exposes the trade-off that will decide whether it happens again. A microscaling format with element width w bits, block size k , and a shared scale of s bits carries an effective per-element cost of weff=w+skw_{\mathrm{eff}} = w + \frac{s}{k}. with the second term the amortised metadata tax. The OCP MX alliance’s MXFP4 uses w = 4 , k = 32 , and an 8-bit shared scale, for weffw_{\mathrm{eff}} = 4.25 bits per element — a roughly 6% tax [ 4 ] . NVIDIA’s NVFP4 instead uses a…

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A variable is a named place for a value. Its letter is a local label: x can mean position in one formula and a data point in another.

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Sources cited in the surrounding passage

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