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No-Regret Online Reinforcement Learning with Adversarial Losses and Transitions

NeurIPS 2023 · Bandits and online learning › RL theory and MDPs · approach: Adversarial MDPs with bandit feedback · 1 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Add amortized bonuses and log-barrier regularization to UOB-REPSUOB-REPS · Adversarial episodic MDPs with known transition corruptionregret: \order \rbr{ L|S| \sqrt{|A| T \log\rbr{\iota} } + L|S|^4|A|\log^2 (\iota) +\cortran L|S|^4|A| \log (\iota)}Helped
Remove the requirement to know transition corruption using a black-box reductionModified UOB-REPS · Adversarial episodic MDPs with unknown transition corruptionregret: \otil\left(\sqrt{\beta_1 T} + \beta_2 + \beta_3 \cortran \right)Helped
Use optimistic transitions with adaptive log-barrier FTRLModified UOB-REPS · Adversarial episodic MDPs satisfying the gap conditionregret against \pi^\star: U +\sqrt{ U\corloss}+ \rbr{\cortran+1} L^2 |S|^4 |A|^2 \log^2 (\iota)Helped
Replace negative entropy with a log-barrier regularizerUOB-REPS for adversarial transitions · Adversarial episodic MDPsstability termHelped
Use optimistic transitions instead of an additional transition bonusGap-dependent FTRL · Adversarial episodic MDPs with a gap conditiongap-dependent regret boundHelped
Discretize feedback probabilities and equalize feedback rates across instancesSTABILISE · Stable corruption-robust learning protocolregret dependence on transition corruptionHelped

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