Short Answer

Role of the Advantage Function in Policy Updates

Consider the following formula used to update an agent's policy parameters, θ, based on a collection of experiences D:

J(θ)θ1DτDθ(t=1Tlogπθ(atst)A(st,at))\frac{\partial J(\theta)}{\partial \theta} \approx \frac{1}{|\mathcal{D}|} \sum_{\tau \in \mathcal{D}} \frac{\partial}{\partial \theta} \left( \sum_{t=1}^{T} \log \pi_{\theta}(a_t|s_t) A(s_t, a_t) \right)

In the context of this update rule, briefly explain the primary role of the term A(s_t, a_t) and how its sign (positive or negative) influences the adjustment of the policy πθ.

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Updated 2025-10-08

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