← All parts of this equation

Equation 10 · Part 2 · Running an Interpretability Investigation That Holds Up

Symbol C

S(C,C′)=Δ(C)−Δ(C′).S(\mathcal{C}, \mathcal{C}') = \Delta(\mathcal{C}) - \Delta(\mathcal{C}').
C\mathcal{C}

What this part means

C is an argument of the function-like quantity on the left; its role is set by that function’s stated inputs.

Its job in the formula

C is an argument of the function-like quantity on the left; its role is set by that function’s stated inputs.

The passage around this formula

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 S(C,C′)=Δ(C)−Δ(C′)S(\mathcal{C}, \mathcal{C}') = \Delta(\mathcal{C}) - \Delta(\mathcal{C}'). A specificity margin S that is small relative to the run-to-run variance means the intervention is detecting generic sensitivity to…

Read this part in the article →

Learn the underlying idea

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.

Open the illustrated variables: a letter stands for a value guide →

See this notation across published equations →

Sources cited in the article section

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