Equation 5 · Part 12 · The Hardest Unsolved Problems in Small and On-Device AI

Starting index or lower bound: t=1

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

t=1

What this part means

This label says where the repeated addition, multiplication, or accumulation starts. Read its value or condition together with the article’s description of the index.

Its job in the formula

t=1 appears in the bound of this sum. The bound states where the repeated operation starts, ends, or which values it includes.

Full expressionStarting index or lower bound: t=1Article meaning

The passage around this formula

Formally, if a model is evaluated on T tasks with full-precision accuracy $\mathrm{Acc}_t^{FP}$ and quantized accuracy $\mathrm{Acc}_t^{Q}$ on task t , a benchmark table typically reports the mean regression $\bar{\Delta} = \frac{1}{T}\sum_{t=1}^{T}\left(\mathrm{Acc}_t^{FP} - \mathrm{Acc}_t^{Q}\right)$ . 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

Σ adds a collection of terms. Π multiplies them. The lower and upper labels tell you which terms belong to the collection.

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Sources cited in the article section

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