Equation 16 · The Hardest Unsolved Problems in Frontier AI Model Comparisons
What does this equation mean?
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.
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Symbol delta_i,b
delt,b is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.
subscript
The lower label selects a particular version, component, or indexed member of the quantity. For example, x₀ and xₜ can be values at different positions.
How to interpret it
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What the article says around this equation
Even a single benchmark’s score is compromised if the term above is nonzero: if some of what looks like reasoning is actually recall of a benchmark item, or an item closely resembling it, that appeared in the model’s training data. Public benchmarks such as GSM8k have been circulating on the open web for years, meaning they, and countless worked solutions and discussions of them, are plausible components of any large modern pretraining corpus.
Sources cited in the article section
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