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Δ(C)\Delta(\mathcal{C})

Why this formula appears here

A specificity margin S that is small relative to the run-to-run variance means the intervention is detecting generic sensitivity to perturbation somewhere in the network, not the mechanism under test — which is exactly the failure mode the subspace illusion exhibits. Reporting Δ(C)\Delta(\mathcal{C}) alone, without the matched control alongside it, is reporting half an experiment.

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Δ\Delta

Symbol Δ

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C\mathcal{C}

Symbol C

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Δ(C)\Delta(\mathcal{C})

Equation 12 · 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 specificity margin S that is small relative to the run-to-run variance means the intervention is detecting generic sensitivity to perturbation somewhere in the network, not the mechanism under test — which is exactly the failure mode the subspace illusion exhibits. Reporting Δ(C)\Delta(\mathcal{C}) alone, without the matched control alongside it, is reporting half an experiment.

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