Equation 1 · Part 2 · How Do We Know a Compressed Model Still Works?

Symbol i

S = \sum_{i=1}^{n} w_i \, a_i

i

What this part means

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

Its job in the formula

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

Full expressionSymbol iArticle meaning

The passage around this formula

An aggregate benchmark score is a weighted average over items or tasks: $S = \sum_{i=1}^{n} w_i \, a_i$ . where $a_i$ is accuracy, or another per-task quality measure, on task i , and $w_i$ is that task’s share of the total, with the weights summing to one. The arithmetic makes the trap explicit: S can be almost unchanged by compression even when some single $a_i$ collapses, provided $w_i$ for that task is small relative to the rest, or provided a rise elsewhere offsets the…

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Learn the underlying idea

A variable is a named place for a value. Its letter is a local label: x can mean position in one formula and a data point in another.

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