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Equation 5 · Part 6 · The Hardest Unsolved Problems in Small and On-Device AI

=

Δˉ=1T∑t=1T(AcctFP−AcctQ)\bar{\Delta} = \frac{1}{T}\sum_{t=1}^{T}\left(\mathrm{Acc}_t^{FP} - \mathrm{Acc}_t^{Q}\right)
=

What this part means

The expressions on both sides represent the same quantity under the stated assumptions.

Its job in the formula

The equals sign connects the complete expression on the left with the complete expression on the right. Both sides must have compatible units.

The passage around this formula

Formally, if a model is evaluated on T tasks with full-precision accuracy AcctFP\mathrm{Acc}_t^{FP} and quantized accuracy AcctQ\mathrm{Acc}_t^{Q} on task t , a benchmark table typically reports the mean regression Δˉ=1T∑t=1T(AcctFP−AcctQ)\bar{\Delta} = \frac{1}{T}\sum_{t=1}^{T}\left(\mathrm{Acc}_t^{FP} - \mathrm{Acc}_t^{Q}\right). while what governs whether any individual deployment is safe to ship is closer to the worst-case regression

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Learn the underlying idea

An equals sign says that the expression on its left and the expression on its right have the same value under the stated definitions and assumptions.

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Sources cited in the article section

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