$$m_{\text{patch}}(\mathcal C)$$

Equation 20 · AI Research

Probing, Sparse Autoencoders, Patching, and Steering: The Main Interpretability Methods, Compared

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

where $m_{\text{clean}}$ and $m_{\text{corrupt}}$ are a chosen behavioural metric measured on the clean and corrupted runs, and $m_{\text{patch}}(\mathcal C)$ is that same metric after the activations of component set $\mathcal C$ are copied from one run into the other. A score near one means patching $\mathcal C$ alone restores nearly all of the clean behaviour; a score near zero means it restores almost none.

Meanings in this article

• $m_{\text{patch}}$: that same metric after the activations of component set $\mathcal C$ are copied from one run into the other.
• $C$: copied from one run into the other.

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