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Equation 15 · Part 1 · What Interpretability Actually Costs to Do at Scale

Symbol k

kk
kk

What this part means

the because published topk configurations keep.

Its job in the formula

k is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

Where the article explains it

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 .

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…

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Sources cited in the surrounding passage

These citations provide research context; check each source for the exact claim it supports.