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Pessimistic Minimax Value Iteration: Provably Efficient Equilibrium Learning from Offline Datasets

ICML 2022 · Reinforcement learning › MDPs and planning · approach: Offline RL sample complexity · 3 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use pessimistic and optimistic value estimates with uncertainty bonuses, then solve the associated matrix-game Nash equilibriaPMVI · Offline linear Markov gamessuboptimality: 4\beta \cdot \ri(\cD, x)Helped
Require low relative uncertainty, covering policy pairs that hold one equilibrium policy fixed while varying the opponentOffline linear Markov games · Offline linear Markov gamessample efficiency: c'd^{3/2}H^2K^{-1/2}\sqrt{\zeta}Helped
Use dataset coverage only over the Nash equilibrium policy pairOffline equilibrium learning · Offline linear Markov gamessuboptimality: 2Hurt

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