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Optimism in Reinforcement Learning with Generalized Linear Function Approximation

ICLR 2021 · Bandits and online learning › RL theory and MDPs · approach: Linear function approximation in RL · 54 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use LSVI-UCB with generalized linear function approximation under optimistic closureEpisodic reinforcement learning · Episodic MDPs with generalized linear function approximation and optimistic closurecumulative regret: \tilde{O}(H\sqrt{d^3T})Helped
Use standard-basis features and the identity link functionLSVI-UCB · Finite-state, finite-action MDPscumulative regret: \tilde{O}(H\sqrt{|\Scal|^3|\Acal|^3 T})Mixed
Replace explicit linear-MDP dynamics assumptions with optimistic closureLSVI-UCB analysis · Reinforcement learning with function approximationassumption strengthHelped

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