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The policy gradient states that $$\nabla J(\theta) \propto \sum_s \mu(s) \sum_a q_\pi(s, a) \nabla\pi(a | s; \theta)\;$$ where the derivatives are taken wrt the parameter $\theta$. Now, if we say incorporate a baseline we get $$\nabla J(\theta) \propto \sum_s \mu(s) \sum_a \left( q_\pi(s, a) - b(s) \right)\nabla\pi(a | s; \theta)\;$$ and this does not effect ...


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