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Equation 23 · Part 1 · Dense, Sparse, and Distilled: Comparing Approaches to Frontier Model Capacity

Symbol N_a

NaN_a
NaN_a

What this part means

NaN_a 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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NaN_a 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

What quantisation breaks: bytes per parameter, and quietly, the served distribution. Read down the memory column and the current landscape explains itself. Memory bandwidth is the binding constraint in serving, so the methods that reduce resident bytes — distillation, quantisation, cache-shrinking attention — are the ones that move price, while the method that reduces training cost — sparsity — moves what is feasible to build. They are complementary, not competing, and production systems use all four at 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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