Equation 38 · Part 5 · AI Feeds on the Distance Between an Intention and an Outcome

Symbol q_tr

\operatorname{logit}\Pr(Y_{imtr}=1)= \beta_0+\alpha_m+\beta_1 q_{tr}+\beta_2 d_t+ \beta_3\log(1+h_t)+u_{\mathrm{repo}(t)}+u_t.

q_{tr}

What this part means

supplied input-context length in tokens, not tokens consumed after the agent has begun acting.

Its job in the formula

$q_t$ r is one of the signed contributions combined to compute the quantity on the left.

Full expressionSymbol q_trArticle meaning

Where the article explains it

Here $q_{tr}$ is supplied input-context length in tokens, not tokens consumed after the agent has begun acting; using post-attempt expenditure would contaminate the predictor with behavior.

The passage around this formula

Start with the conventional mixed-effects baseline specified before task results are opened: $\operatorname{logit}\Pr(Y_{imtr}=1)= \beta_0+\alpha_m+\beta_1 q_{tr}+\beta_2 d_t+ \beta_3\log(1+h_t)+u_{\mathrm{repo}(t)}+u_t$ . Here $q_{tr}$ is supplied input-context length in tokens, not tokens consumed after the agent has begun acting; using post-attempt expenditure would contaminate the predictor with behavior. The term $d_t$ is a predeclared ordinary benchmark-difficulty score based only on endpoint-side, redaction-invariant…

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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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Sources cited in the article section

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