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Equation 3 · Part 11 · How to Actually Compare Frontier AI Models Without Building a Misleading Leaderboard

addition

s=g(θ,H,T,k,P,t)+ε,s = g(\theta, \mathcal{H}, T, k, \mathcal{P}, t) + \varepsilon,
addition

What this part means

Add the term after the plus sign to the term or group before it.

Its job in the formula

Add the term after the plus sign to the term or group before it.

The passage around this formula

Formally, an observed score s is not a property of a model θ\theta alone. It is closer to s=g(θ,H,T,k,P,t)+εs = g(\theta, \mathcal{H}, T, k, \mathcal{P}, t) + \varepsilon. a function of the weights θ\theta , the harness H\mathcal{H} , the sampling temperature T , the number of samples k and how they are aggregated, the prompt template P\mathcal{P} , the date t a snapshot was queried, plus sampling noise ε\varepsilon . A citation that fixes θ\theta and leaves the other five free has not specified a comparable quantity. OpenAI’s own simple-evals table makes the same point from a different angle: rows the lab ran itself under a disclosed zero-shot chain-of-thought protocol sit beside rows for competitors’ models labelled “unknown” prompt style, sourced from…

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Learn the underlying idea

Addition combines quantities; subtraction measures the signed difference between them. Parentheses show what is combined before the rest of the expression is evaluated.

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Sources cited in the surrounding passage

These citations provide research context; check each source for the exact claim it supports.