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Equation 9 · Part 1 · AI Accelerator Architecture in 2035: Scenarios, Signals, and Falsifiable Predictions

Symbol w_eff

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

What this part means

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

Its job in the formula

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

The passage around this formula

…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 smaller block, k = 16 , with the same 8-bit block scale plus a near-negligible per-tensor term, for weffw_{\mathrm{eff}} ≈\approx 4.5 bits per element — a roughly 12.5% tax [ 5 ] . The smaller block buys…

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