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Non-stationary Risk-Sensitive Reinforcement Learning: Near-Optimal Dynamic Regret, Adaptive Detection, and Separation Design

AAAI 2023 · Bandits and online learning › RL theory and MDPs · approach: Regret bounds with function approximation · 2 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use periodic restarts with variation budget known in advanceRisk-sensitive model-based RL · Non-stationary episodic MDPdynamic regret upper bound: \widetilde{\mathcal{O}} \left(e^{|\beta| H} |\mathcal{S}|^{\frac{2}{3}} |\mathcal{A}|^{\frac{1}{3}} H^{2} M^{\frac{2}{3}Helped
Use periodic restarts with variation budget known in advanceRisk-sensitive Q-learning · Non-stationary episodic MDPdynamic regret upper bound: \widetilde{\mathcal{O}} \left(e^{|\beta| H} |\mathcal{S}|^{\frac{1}{3}} |\mathcal{A}|^{\frac{1}{3}} H^{\frac{9}{4}} M^{\Helped
Use adaptive non-stationarity detection without knowing the variation budgetRSMB · Non-stationary episodic MDPdynamic regret upper bound: \widetilde{\mathcal{O}} \left( e^{|\beta| H} |\mathcal{S}|^{\frac{2}{3}} |\mathcal{A}|^{\frac{1}{3}} H^{2} M^{\frac{2}{3Helped
Use adaptive non-stationarity detection without knowing the variation budgetRSQ · Non-stationary episodic MDPdynamic regret upper bound: \widetilde{\mathcal{O}} \left( e^{|\beta| H} |\mathcal{S}|^{\frac{1}{3}} |\mathcal{A}|^{\frac{1}{3}} H^{\frac{5}{3}} M^{Helped
Apply risk-sensitive non-stationarity detection to exponential value functionsAdaptive risk-sensitive RL · Non-stationary episodic MDPdynamic regretHelped
Separate risk control from restart schedulingRestart-RSMB and Restart-RSQ · Non-stationary episodic MDP with known variation budgetdynamic regretNo clear effect
Make the adaptive detection mechanism account for the risk parameterAdaptive-RSMB and Adaptive-RSQ · Non-stationary episodic MDPdynamic regretHelped
Establish a lower bound for non-stationary risk-sensitive RLProposed upper bounds · Non-stationary episodic MDPdynamic regret: \Omega\left( \frac{e^{\frac{2|\beta| H}{3}}-1}{|\beta|} |\mathcal{S}|^{\frac{1}{3}} |\mathcal{A}|^{\frac{1}{3}} M^{\fracMixed

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