Equation 15 · Part 1 · A Chatbot Confessed to Being Built by a Company That Never Trained It

Symbol I

I(m)

I

What this part means

a dimensionless rate between 0 and 1: the fraction of probes that elicit the trait.

Its job in the formula

I is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

Full expressionSymbol IArticle meaning

Where the article explains it

I(m) is a dimensionless rate between 0 and 1: the fraction of probes that elicit the trait.

The passage around this formula

Sort a population of models $\mathcal{M}$ =\{ $m_1$ , $\dots$ , $m_N$ \} into the three exposure classes just defined, $\mathcal{M}_V$ , $\mathcal{M}_H$ , 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 $\bar I_V$ , $\bar I_H$ …

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Learn the underlying idea

A function assigns an output to each allowed input. The expression f(x) means “apply f to x”.

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