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Equation 15 · Part 1 · How Mechanistic Interpretability Research Is Actually Done

Symbol theta_i

θi\theta_i
θi\theta_i

What this part means

thetaia_i 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

thetaia_i 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

keeping only the k largest pre-activations and zeroing the rest, and used it to train a sixteen-million-latent dictionary on GPT-4 activations over forty billion tokens, reporting metrics that improve consistently as dictionary size grows [ 8 ] . Rajamanoharan and colleagues took a different route to the same problem, keeping a continuous encoder but replacing the fixed zero threshold with a learned per-feature threshold θi\theta_i — a feature only activates once its pre-activation clears θi\theta_i — and report state-of-the-art reconstruction fidelity at matched sparsity on Gemma 2 activations against both the ℓ1\ell_1 and top- k alternatives [ 9 ] .

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Sources cited in the surrounding passage

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