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Equation 1 · Part 9 · A History of How We Learned to Evaluate AI Agents

Denominator: 9

SGLUE=19∑t=19st,S_{\mathrm{GLUE}} = \frac{1}{9}\sum_{t=1}^{9} s_t,
99

What this part means

The complete quantity below the fraction bar; it must be nonzero for this division.

Its job in the formula

9 occurs below the fraction bar. The quantity above the bar is divided by this expression; zero is excluded as a denominator.

The passage around this formula

Wang and colleagues then generalized the single-turn approach across tasks rather than within one, arguing that for language understanding “to be maximally useful, both practically and as a scientific object of study, it must be general: it must be able to process language in a way that is not exclusively tailored to any one specific task or dataset” [ 4 ] . GLUE bundled nine separate tasks — grammatical acceptability, sentiment, paraphrase and similarity judgments, and several varieties of natural-language inference — behind one leaderboard number. That number is worth writing out, because the arithmetic embeds an assumption the field would later revisit: SGLUE=19∑t=19stS_{\mathrm{GLUE}} = \frac{1}{9}\sum_{t=1}^{9} s_t. an unweighted…

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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 surrounding passage

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