Equation 34 · Part 4 · A Chatbot Confessed to Being Built by a Company That Never Trained It

=

s=\ln\left(\frac{p_{\mathrm{post}}/(1-p_{\mathrm{post}})}{p_{\mathrm{pre}}/(1-p_{\mathrm{pre}})}\right)

What this part means

The expressions on both sides represent the same quantity under the stated assumptions.

Its job in the formula

The equals sign connects the complete expression on the left with the complete expression on the right. Both sides must have compatible units.

Full expression=Article meaning

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

An equals sign says that the expression on its left and the expression on its right have the same value under the stated definitions and assumptions.

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