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This paper studies stochastic linear bandits where the agent only observes a random subset of action coordinates, proving that sublinear regret is possible when actions have low intrinsic dimension, and proposes the TOFU-POV algorithm with theoretical guarantees.
This paper proposes Absolute Thompson Sampling (ATS), a modification of Thompson Sampling that ensures optimism in expectation by using absolute exploration noise, enabling a simpler UCB-style regret analysis while maintaining computational efficiency. It achieves regret matching existing TS bounds, and introduces an ensemble variant that converges to UCB behavior.