Equation 3 · Part 2 · Ten Ways Mechanistic Interpretability Research Can Mislead You
Symbol α
What this part means
the small probability.
Its job in the formula
α is one of the signed contributions combined to compute the quantity on the left.
Full expression→Symbol α→Article meaning
Where the article explains it
Put simply: if a search evaluates k candidate directions against a validation check, and each candidate independently has a small probability of appearing to pass that check purely by chance — because it happens to correlate with the labeled examples used to test it — then the probability that the search turns up at least one apparent “finding” is .
The passage around this formula
Put simply: if a search evaluates k candidate directions against a validation check, and each candidate independently has a small probability of appearing to pass that check purely by chance — because it happens to correlate with the labeled examples used to test it — then the probability that the search turns up at least one apparent “finding” is . a quantity that climbs toward near-certainty long before k reaches even a small fraction of the directions a real residual stream offers. A single successful-looking direction, reported without the number of candidates it was selected from, is close to uninterpretable on its own.
Learn the underlying idea
A variable is a named place for a value. Its letter is a local label: x can mean position in one formula and a data point in another.
Open the illustrated variables: a letter stands for a value guide →
See this notation across published equations →
Sources cited in the article section
These citations provide research context; check each source for the exact claim it supports.