← Back to article

Equation 14 · Measuring Frontier Models: Contamination, Variance, and What a Score Can Support

What does this equation mean?

D\mathcal{D}

Read the formula alongside the article passage below. Each part has a deeper page with its role in the equation, the supporting passage and nearby citations.

This mathematical expression combines the displayed quantities; its precise role follows from the surrounding article text. Read the equation part by part below; each part has a contextual explanation and a link to its mathematical background.

Read it piece by piece

D\mathcal{D}

Symbol D

D is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

Understand this part →

How to interpret it

Read this expression with the definitions, units, and assumptions supplied by the article.

What the article says around this equation

Three properties make such a set worth the effort of building. It should be drawn from your own task distribution rather than an academic proxy, because the whole failure of public benchmarks is a mismatch between Dbench\mathcal{D}_{\mathrm{bench}} and D\mathcal{D} . It should carry a checkable oracle wherever one can be constructed — an expected output, an invariant, a schema, a test — so that most of it can be re-run automatically. And it must never be published, pasted into a hosted model as an example, or committed to a public repository, because any of those actions ends its usefulness permanently.

Read the equation in its article →

For background, read the article’s source list.

Return to Measuring Frontier Models: Contamination, Variance, and What a Score Can Support

Browse the mathematical compendium →