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

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NN

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total parameters. Read the equation part by part below; each part has a contextual explanation and a link to its mathematical background.

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NN

Symbol N

total parameters.

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Fix the vocabulary first. Let N be total parameters, NaN_a the parameters actually used to process a given token, D training tokens, and M the memory that must be resident to serve. For the dense decoder-only transformer that remains the default architecture [ 1 ] , NaN_a = N and M ∝\propto N . Every method below breaks one of those two identities, and which one it breaks determines what it is good for.

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