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Equation 8 · Part 6 · Comparing the Main Approaches to AI Agent Architecture

Symbol a

g(i)∼πsuper(g∣task),at(i)∼πworker(i)(a∣o≤t(i), ht(i), g(i)).g^{(i)} \sim \pi_{\text{super}}(g \mid \text{task}), \qquad a_t^{(i)} \sim \pi_{\text{worker}}^{(i)}\bigl(a \mid o_{\le t}^{(i)},\ h_t^{(i)},\ g^{(i)}\bigr).
aa

What this part means

a is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

Its job in the formula

a is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

The passage around this formula

Formally, the supervisor’s policy chooses a subgoal for each worker, and each worker then runs its own instance of the general loop against a history that never touches its siblings’: g(i)∼πsuper(g∣task),at(i)∼πworker(i)(a∣o≤t(i), ht(i), g(i))g^{(i)} \sim \pi_{\text{super}}(g \mid \text{task}), \qquad a_t^{(i)} \sim \pi_{\text{worker}}^{(i)}\bigl(a \mid o_{\le t}^{(i)},\ h_t^{(i)},\ g^{(i)}\bigr). Because h(i)h^{(i)} and h(j)h^{(j)} are disjoint by construction, worker i ’s error cannot enter worker j ’s context directly — it can only…

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A variable is a named place for a value. Its letter is a local label: x can mean position in one formula and a data point in another.

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