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Equation 20 · Part 3 · Probing, Sparse Autoencoders, Patching, and Steering: The Main Interpretability Methods, Compared

subscript

mpatch(C)m_{\text{patch}}(\mathcal C)
subscript

What this part means

The lower label selects a particular version, component, or indexed member of the quantity. For example, x₀ and xₜ can be values at different positions.

Its job in the formula

A subscript distinguishes a version, component, step, or member of a quantity. It does not automatically mean multiplication.

The passage around this formula

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

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Learn the underlying idea

A subscript is a label attached below a symbol. It often selects a time step, component, category, or member of a sequence.

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Sources cited in the article section

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