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On Reward-Free RL with Kernel and Neural Function Approximations: Single-Agent MDP and Markov Game

ICML 2021 · Reinforcement learning › MDPs and planning · approach: Function approximation in RL theory · 4 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use optimistic value iteration with kernel regression and an uncertainty bonus as the exploration rewardSingle-agent MDP reward-free RL · Single-agent MDP, arbitrary extrinsic rewardsample complexity: \tilde{\mathcal{O}}(1/\varepsilon^2)Helped
Use overparameterized neural regression with a neural uncertainty bonus as the exploration rewardSingle-agent MDP reward-free RL · Single-agent MDP, arbitrary extrinsic rewardsample complexity: \tilde{\cO}(1/\varepsilon^2)Helped
Extend optimistic reward-free exploration and planning to zero-sum games with kernel approximationZero-sum Markov game · Zero-sum Markov game, arbitrary extrinsic rewardsample complexity: \tilde{\cO}(1/\varepsilon^2)Helped
Extend optimistic reward-free exploration and planning to zero-sum games with overparameterized neural approximationZero-sum Markov game · Zero-sum Markov game, arbitrary extrinsic rewardsample complexity: \tilde{\cO}(1/\varepsilon^2)Helped
Use a finite-spectrum kernel with complexity parameter γKernel reward-free RL · Finite-spectrum kernel; single-agent MDP and zero-sum Markov gamesample complexity: \tilde{\cO}(H^6 \gamma^3 /\varepsilon^2)Helped
Use neural function approximation instead of exact kernel approximationReward-free RL · Single-agent MDP and zero-sum Markov gamesuboptimality or Nash-equilibrium error bound: + H^2 \beta \iotaMixed

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