Equation 5 · A Chatbot Confessed to Being Built by a Company That Never Trained It
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This mathematical expression combines the displayed quantities; its precise role follows from the surrounding article text. Read the equation part by part below; each part has a contextual explanation and a link to its mathematical background.
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Symbol M_V
is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.
subscript
The lower label selects a particular version, component, or indexed member of the quantity. For example, x₀ and xₜ can be values at different positions.
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What the article says around this equation
Sort a population of models =\{,,\} into the three exposure classes just defined, , , and . For each model m , define its trait incidence as I(m)=[] , where Q is the held-out probe set of size k and 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 , , and = . is the article’s single most important number, because it is the rate at which the trait shows up in models that never touched the source at all — the…
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Sort a population of models =\{,,\} into the three exposure classes just defined, , , and . For each model m , define its trait incidence as I(m)=[] , where Q is the held-out probe set of size k and 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 , , and = . is the article’s single most important number, because it is the rate at which the trait shows up in models that never touched the source at all — the convergence baseline , the rate any theory of pure coincidence has to beat.
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