Equation 4 · Part 12 · Measuring Frontier Models: Contamination, Variance, and What a Score Can Support
Ending index or upper bound: n
What this part means
This label says where the repeated addition, multiplication, or accumulation stops. It sets the last term or end of the range.
Its job in the formula
n occurs below the fraction bar. The quantity above the bar is divided by this expression; zero is excluded as a denominator.
Full expression→Ending index or upper bound: n→Article meaning
The passage around this formula
Reframe the object. A benchmark score is an estimator of a population quantity s — the model’s success rate over some distribution of tasks that somebody hopes resembles the work you actually have. Every property that makes an estimator trustworthy applies: . The number is only as good as three things: whether resembles , whether the are genuinely held out, and whether the indicator is measured with enough repetition to characterise its spread. All three fail routinely, and they fail in different directions.
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.
Open the illustrated sums and products: repeat an operation over an index guide →
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