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No-Regret Exploration in Goal-Oriented Reinforcement Learning

ICML 2020 · Bandits and online learning › RL theory and MDPs · approach: Stochastic shortest path · 13 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use UCSSP's optimistic cost-minimizing phase and goal-reaching phase with pivot-horizon policy interruptionGeneral SSP · General SSPSSP-regret: \widetilde{O}\Big(c_{\max} D S \sqrt{\frac{c_{\max}}{c_{\min}} A D K} + c_{\max} S^2 A D^2\Big)Helped
Apply UCRL2 to the transformed infinite-horizon MDPUniform-cost SSP · Uniform-cost SSPSSP-regret: 34 (V^{\star}(s_0)+1) D S \sqrt{A T_K \log\Big(\frac{T_K}{\delta}\Big)}Helped
Use UCSSP instead of UCRL2 in the uniform-cost settingUniform-cost SSP · Uniform-cost SSPSSP-regret: \widetilde{O}(D S \sqrt{A D K}) vs. \widetilde{O}(V^\star(s_0) D S \sqrt{A V^\star(s_0)K})Mixed
Add a positive cost perturbation to each optimistic-model transitionUCSSP · Zero-cost SSPSSP-regret rate: \widetilde{O}(K^{2/3}) vs. \sqrt{K}Hurt
Use a truncated value function and allow costly resets to the start stateUCSSP · SSP with dead-end statesSSP-regret bound: the infinite term D is replaced by JHelped
Use average-cost optimization for non-uniform-cost SSPUCRL2 · General SSPSSP-regretHurt

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