On the connection between Bregman divergence and value in regularized Markov decision processes

10/21/2022

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by   Brendan O'Donoghue, et al.

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In this short note we derive a relationship between the Bregman divergence from the current policy to the optimal policy and the suboptimality of the current value function in a regularized Markov decision process. This result has implications for multi-task reinforcement learning, offline reinforcement learning, and regret analysis under function approximation, among others.