Equation 7 · Dense, Sparse, and Distilled: Comparing Approaches to Frontier Model Capacity
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This equation gives an approximation: it relates the quantities while allowing an approximation. 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 C
C is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.
Symbol N
N is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.
Symbol D
D is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.
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Its accuracy depends on the assumptions and range of use described in the article.
What the article says around this equation
The dense route is the baseline: more parameters, more data, more compute, with C 6ND . Kaplan and colleagues established that loss falls as a power law in each of these over many orders of magnitude [ 2 ] , and the field spent several years reading that as a mandate to grow N .
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