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C′\mathcal{C}'

Why this formula appears here

The defence against this is a control condition run alongside the target one, not after it: intervene identically on a component set C\mathcal{C}' matched to the target set C\mathcal{C} in size, depth and baseline activation statistics, but which the hypothesis explicitly predicts should have no effect, and compare

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C\mathcal{C}

Symbol C

C 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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Published contexts (2)

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C′\mathcal{C}'

Equation 8 · AI Research

Running an Interpretability Investigation That Holds Up

This mathematical expression combines the displayed quantities; its precise role follows from the surrounding article text.

The defence against this is a control condition run alongside the target one, not after it: intervene identically on a component set C\mathcal{C}' matched to the target set C\mathcal{C} in size, depth and baseline activation statistics, but which the hypothesis explicitly predicts should have no effect, and compare

Equation guide → · Article →
C′\mathcal{C}'

Equation 15 · AI Research

Running an Interpretability Investigation That Holds Up

This mathematical expression combines the displayed quantities; its precise role follows from the surrounding article text.

A patching experiment produces two different kinds of statement, and the write-up has to keep them visibly separate. The first is a measurement: intervening on component set C\mathcal{C} moved metric m by some amount, with some variance across prompts and random seeds, and the matched control C\mathcal{C}' moved it by some smaller amount. That is data. The second is an interpretation layered on top of it: that the component “represents,” “detects,” or “computes” some human concept. The measurement is usually solid. The interpretation is usually the part doing more work than the evidence supports, and it is the part press coverage and even conference talks tend to keep while dropping every…

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