Information-gain exploration bonuses are claimed to converge and to make model-based exploration sample-efficient, but the central mathematical proof does not hold together.
This is formalized as follows (Schwartz, 1965; Ghosal & Van der Vaart, 2017)
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On Efficient Bayesian Exploration in Model-Based Reinforcement Learning
Information-gain exploration bonuses are claimed to converge and to make model-based exploration sample-efficient, but the central mathematical proof does not hold together.