Equation 1 · Part 5 · How Do We Know a Compressed Model Still Works?

Symbol a_i

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

a_i

What this part means

accuracy, or another per-task quality measure, on task i.

Its job in the formula

$a_i$ is an input to the expression that computes the quantity on the left.

Full expressionSymbol a_iArticle meaning

Where the article explains it

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 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…

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Learn the underlying idea

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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