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Equation 6 · Part 1 · The Hardest Unsolved Problems in Small and On-Device AI

Symbol Delta_max

Δmax⁡=max⁡t(AcctFP−AcctQ).\Delta_{\max} = \max_{t}\left(\mathrm{Acc}_t^{FP} - \mathrm{Acc}_t^{Q}\right).
Δmax⁡\Delta_{\max}

What this part means

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

Its job in the formula

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

The passage around this formula

while what governs whether any individual deployment is safe to ship is closer to the worst-case regression Δmax⁡=max⁡t(AcctFP−AcctQ)\Delta_{\max} = \max_{t}\left(\mathrm{Acc}_t^{FP} - \mathrm{Acc}_t^{Q}\right). A quantization scheme can post a Δˉ\bar{\Delta} close to zero while Δmax⁡\Delta_{\max} is large, provided the loss concentrates on one or a few tasks that are a small share of the suite. Nothing about Δˉ\bar{\Delta} being small implies Δmax⁡\Delta_{\max} is small; the two only converge if degradation is spread evenly, and the studies below find that it is not.

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A subscript is a label attached below a symbol. It often selects a time step, component, category, or member of a sequence.

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Sources cited in the article section

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