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Equation 1 · Part 2 · What Open Weights Actually Let You Verify

Symbol f

s=f(θ,H)s = f(\theta, H)
ff

What this part means

f is an input to the expression that computes the quantity on the left.

Its job in the formula

f is an input to the expression that computes the quantity on the left.

The passage around this formula

Treat a published benchmark score as the output of a function of two arguments: the weights being scored, and the procedure used to score them. Here θ\theta denotes the model’s parameters and H denotes everything about the evaluation procedure that is not the model itself — the exact prompt template, the number of few-shot examples, whether a chat template is applied, how the model’s free-text output is parsed into a scored answer, and the decoding configuration. A vendor publishes one value of s . An independent lab computing its own s' is implicitly testing whether f(θ\theta, H) = f(θ\theta', H') , and a mismatch could in principle come from either argument.

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Learn the underlying idea

A function assigns an output to each allowed input. The expression f(x) means “apply f to x”.

Open the illustrated functions: inputs become outputs guide →

See this notation across published equations →

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