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Equation 24 · Part 1 · Probing, Sparse Autoencoders, Patching, and Steering: The Main Interpretability Methods, Compared

Symbol C

C\mathcal C
CC

What this part means

sufficient to restore the behaviour.

Its job in the formula

C 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

Patching in one direction — copying clean activations into a corrupted run, “denoising” — tests whether C\mathcal C is sufficient to restore the behaviour; patching in the other direction — copying corrupted activations into a clean run, “noising” — tests whether C\mathcal C is necessary to sustain it, and the two are not mirror images of the same fact about the network.

The passage around this formula

…clearest documented source on how easily the result changes under choices that are rarely reported in full. Patching in one direction — copying clean activations into a corrupted run, “denoising” — tests whether C\mathcal C is sufficient to restore the behaviour; patching in the other direction — copying corrupted activations into a clean run, “noising” — tests whether C\mathcal C is necessary to sustain it, and the two are not mirror images of the same fact about the network. The choice of corruption itself, whether…

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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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