Equation 27 · Part 5 · A Chatbot Confessed to Being Built by a Company That Never Trained It

Symbol r_m

\mu_c=\frac{1}{|\mathcal{M}_c^+|}\sum_{m\in\mathcal{M}_c^+}\mathbb{1}[d(r_m,\rho)>\delta]

r_m

What this part means

m ’s response to probe q.

Its job in the formula

$r_m$ is one of the signed contributions combined to compute 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

A transfer rate above zero says a channel is associated with a trait. It does not yet say whether the trait is a faithful copy or a garbled one, and it says nothing about whether curators along the way made the trait more or less likely to survive into the next training corpus. Two further quantities complete the construction. The mutation rate $\mu_c$ = $\frac{1}{|\mathcal{M}_c^+|}$ $\sum_{m\in\mathcal{M}_c^+}$ $\mathbb{1}$ [d( $r_m$ , $\rho$ )> $\delta$ ] measures, among the trait-positive models in class c (the set $\mathcal{M}_c^+$ ), what fraction produce a response diverging from the seeded canonical form $\rho$ by more than a fixed threshold $\delta$ under a declared distance function d : a high $\mu_c$ says the…

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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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