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Equation 29 · Part 1 · Dense, Sparse, and Distilled: Comparing Approaches to Frontier Model Capacity

Symbol Q

QQ
QQ

What this part means

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

Its job in the formula

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

The passage around this formula

with Q requests over the model’s life. When Q is small — a research artefact, an internal tool — the training term dominates and compute-optimal allocation is the right target. When Q is very large, the second term dominates by orders of magnitude, and every technique that reduces cˉinf\bar{c}_{\mathrm{inf}} pays back continuously while every technique that reduces CtrainC_{\mathrm{train}} pays back once.

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Learn the underlying idea

A variable is a named place for a value. Its letter is a local label: x can mean position in one formula and a data point in another.

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Sources cited in the article section

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