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Equation 5 · Part 11 · The Hardest Unsolved Problems in Small and On-Device AI

Numerator: 1

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)
11

What this part means

The complete quantity above the fraction bar.

Its job in the formula

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

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

A fraction a/b means a divided by b. The top number is the numerator; the bottom number is the denominator, and it cannot be zero.

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Sources cited in the article section

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