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Equation 32 · Part 1 · Dense, Sparse, and Distilled: Comparing Approaches to Frontier Model Capacity

Symbol C_train

CtrainC_{\mathrm{train}}
CtrainC_{\mathrm{train}}

What this part means

CtC_train 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

CtC_train 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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A subscript is a label attached below a symbol. It often selects a time step, component, category, or member of a sequence.

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Sources cited in the article section

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