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Equation 45 · Part 6 · AI Feeds on the Distance Between an Intention and an Outcome

=

logit⁡Pr⁡(Yimtr=1)=baseline+γ1Gtr+γ2Gtrlog⁡(1+ht).\operatorname{logit}\Pr(Y_{imtr}=1)=\text{baseline}+ \gamma_1G_{tr}+\gamma_2G_{tr}\log(1+h_t).
=

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.

The passage around this formula

The challenger adds GtrG_{tr} , its uncertainty-aware estimate, and a preregistered interaction with task horizon: logit⁡Pr⁡(Yimtr=1)=baseline+γ1Gtr+γ2Gtrlog⁡(1+ht)\operatorname{logit}\Pr(Y_{imtr}=1)=\text{baseline}+ \gamma_1G_{tr}+\gamma_2G_{tr}\log(1+h_t). The primary scoreboard is not an in-sample coefficient. It is leave-one-repository-out predictive log loss, calibration slope, and Brier score, each computed before inspecting a graph of agents. The transfer scoreboard withholds whole task families or repositories, then asks which model better predicts the outcome from the descriptions and annotations already frozen. A positive in-sample γ1\gamma_1 is not a result; a redaction variable is almost designed to correlate with difficulty. Only lower held-out error and better calibration earn the claim that it carries…

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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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Sources cited in the article section

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