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Equation 3 · Part 6 · Running an Interpretability Investigation That Holds Up

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Pk=1−(1−α)k,P_k = 1-(1-\alpha)^k,
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What this part means

A raised number can be a power. When it is a label or bound, it selects a case or the upper limit of a sum; the formula’s structure distinguishes these uses.

Its job in the formula

A raised mark can be a power or an index. Its position and the surrounding notation determine which.

The passage around this formula

The reason this ordering matters is not procedural fussiness. Zhang and Nanda’s systematic study of activation patching found that the choice of corruption distribution and evaluation metric — decisions usually made informally, late, and sometimes after a first look at the data — can by itself change which components a patching sweep identifies as important [ 3 ] . If the metric is chosen after the sweep, on the grounds that it produced the most legible result, the investigation has stopped testing a hypothesis and started constructing one to fit the data. The same failure has a clean statistical description. Sweep enough components at a nominal per-test false-positive rate α\alpha and report…

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Learn the underlying idea

An exponent tells how a base is used in multiplication. In x³, x is the base and 3 is the exponent: x³ = x × x × x.

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Sources cited in the surrounding passage

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