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Posterior Value Functions: Hindsight Baselines for Policy Gradient Methods

ICML 2021 · Reinforcement learning › Policy gradient and actor-critic · approach: Variance-reduced policy gradients · 3 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use posterior value function baseline (hindsight over hidden traffic state) instead of prior value functionREINFORCE advantage estimator on traffic POMDP · Traffic POMDP (Figure 1)variance of advantage estimator at t=0: from 1 to 0Helped
Model traffic as stochastic transition in fully observable MDP rather than hidden state (ablation)posterior advantage estimator · Traffic MDP (Figure 3)variance of advantage estimator at t=0: from 0 to 1Hurt
Use posterior value function baseline instead of state value function (on partially observable gridworld)REINFORCE with belief policy · Partially observable 5x5 gridworldmean squared error of advantage estimator E[(G_t-B_t)^2]Helped
Use posterior value function baseline instead of prior/observation value function on gridworldREINFORCE with belief policy returns · Partially observable 5x5 gridworldepisode returnsNo clear effect
Use posterior value function baseline (theory: never increases variance versus prior/state value function)policy gradient advantage estimator · All POMDPs (Theorems 1 and 3)variance of advantage estimatorHelped

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