Equation 9 · Part 6 · A Chatbot Confessed to Being Built by a Company That Never Trained It

Symbol r_m

I(m)=\frac{1}{k}\sum_{q\in Q}\mathbb{1}[r_m(q)\in\mathcal{T}]

r_m

What this part means

m ’s response to probe q.

Its job in the formula

$r_m$ is an input to the expression that computes the quantity on the left.

Full expressionSymbol r_mArticle meaning

Where the article explains it

For each model m , define its trait incidence as I(m)= $\frac{1}{k}$ $\sum_{q\in Q}$ $\mathbb{1}$ [ $r_m(q)$ $\in$ $\mathcal{T}$ ] , where Q is the held-out probe set of size k and $r_m(q)$ is m ’s response to probe q .

The passage around this formula

…, $\mathcal{M}_H$ , and $\mathcal{M}_\varnothing$ . For each model m , define its trait incidence as I(m)= $\frac{1}{k}$ $\sum_{q\in Q}$ $\mathbb{1}$ [ $r_m(q)$ $\in$ $\mathcal{T}$ ] , where Q is the held-out probe set of size k and $r_m(q)$ is m ’s response to probe q . I(m) is a dimensionless rate between 0 and 1: the fraction of probes that elicit the trait. Average I(m) within each class to get $\bar I_V$ , $\bar I_H$ , and $I_0$ = $\bar I_\varnothing$ . $I_0$ is the article’s single most important number, because it is the rate at…

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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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See this notation across published equations →

The article lists its research sources here.