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A Model-Free Universal AI
Proceedings of the 42nd Conference on Uncertainty in Artificial Intelligence, PMLR 337:3012-3035, 2026.
Abstract
In general reinforcement learning, all established optimal agents, including {AIXI}, are model-based, explicitly maintaining and using environment models. This paper introduces Universal {AI} with {Q-Induction} ({AIQI}), the first model-free agent proven to be asymptotically $\varepsilon$-optimal in general {RL}. {AIQI} performs universal induction over distributional action-value functions, instead of policies or environments like previous works. Under a grain of truth condition, we prove that {AIQI} is strong asymptotically $\varepsilon$-optimal and asymptotically $\varepsilon$-{Bayes}-optimal. We also apply our novel proof techniques to show asymptotic $\varepsilon$-optimality of Self-{AIXI} without any ad-hoc assumptions. Our results significantly expand the diversity of known universal agents.