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Private Reinforcement Learning with PAC and Regret Guarantees

ICML 2020 · Federated learning and privacy › Differential privacy · approach: Private online and user-level learning · 8 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Add private counters to optimism-based episodic RLPUCB · Tabular episodic MDP (PAC)sample complexity: \frac{SAH^4}{\alpha^2} + \frac{S^2AH^4}{\varepsilon\alpha}Mixed
Add private counters to optimism-based episodic RLPUCB · Tabular episodic MDP (regret)regret: H^2\sqrt{SAT} + \frac{SAH^3 + S^2AH^3}{\varepsilon}Mixed
Require ε-JDP privacyEpisodic tabular RL · Tabular episodic MDP (PAC)sample complexity lower bound: \frac{SAH}{\alpha\varepsilon}\ln\left(\frac{1}{\beta} \right)Hurt
Require ε-JDP privacyEpisodic tabular RL · Tabular episodic MDP (regret)regret lower bound: \frac{S A H\log(T)}{\varepsilon}Hurt
Use privacy-preserving counters whose noise scales with episode lengthPUCB · Tabular episodic MDPprivacy cost in utility bounds: E_{\varepsilon} = \frac{3}{\varepsilon}H\log\left(\frac{2SAH+S^2AH}{\beta'}\right)\log\left(T\right)^{5/2}Helped

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