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Equation 19 · Part 1 · What Interpretability Actually Costs to Do at Scale

Symbol n

nn
nn

What this part means

n 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

n 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

Because published TopK configurations keep k in the tens to low hundreds while n runs into the millions, n ≫\gg k and the encoding term dominates almost entirely: CSAEC_{\mathrm{SAE}} ≈\approx 2dnT . That single approximation explains something the paper reports without deriving: convergence — the point at which more tokens stop buying lower reconstruction error — is reached later…

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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 surrounding passage

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