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Equation 6 · Part 2 · Probing, Sparse Autoencoders, Patching, and Steering: The Main Interpretability Methods, Compared

subtraction

selectivity=acctask−acccontrol.\text{selectivity} = \mathrm{acc}_{\text{task}} - \mathrm{acc}_{\text{control}}.
subtraction

What this part means

Subtract the following term or group from the preceding one. A leading minus marks a negative quantity.

Its job in the formula

Subtract the following term or group from the preceding one. A leading minus marks a negative quantity.

The passage around this formula

That gap between “predictable from” and “used by” is the method’s central and openly documented weakness. Hewitt and Liang showed that a sufficiently expressive probe can achieve high accuracy predicting properties from representations that plausibly do not encode them in any meaningful sense, because the probe itself has the capacity to memorise idiosyncratic patterns in the training data. Their fix was the control task: construct a version of the labelling scheme that associates each input type with an output at random, so it can only be learned by the probe’s own memorisation capacity, never by any real linguistic signal in the representation. A well-behaved probe should then show high…

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Learn the underlying idea

Addition combines quantities; subtraction measures the signed difference between them. Parentheses show what is combined before the rest of the expression is evaluated.

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