Life sciences · Preprint
arXiv · September 9, 2026
Raises a question worth testing. It does not answer one.
This is a preprint describing a novel theoretical framework and debiased estimator for offline reinforcement learning value inference, with asymptotic normality guarantees under time-varying behavior policies. The work includes synthetic validation and two proof-of-concept real-world implementations but does not provide comparative effectiveness evidence or clinically meaningful outcomes.
Preprint.
Proposes debiased estimator through Neyman orthogonality with asymptotic normality under diverging horizons Framework remains valid when behavior policy changes with time, provided nuisances achieve statistical rates achievable by machine learning methods Synthetic experiments validate numerical performance of inference method
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This is a methodological and theoretical paper proposing a new statistical inference framework for reinforcement learning with synthetic validation and preliminary real-world applications, but it does not report clinical outcomes, patient-relevant endpoints, or comparative effectiveness data.
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We study offline inference for the optimal value in reinforcement learning. Two new nuisances are derived as fixed points of a self-induced Bellman equation, in which we approximate the maximum Bellman operator by its softmax correspondence. We propose a debiased estimator through the Neyman orthogonality and establish its asymptotic normality under diverging horizons even when the behavior policy changes with time, as long as the nuisances have the statistical rates that can be achieved by many machine learning methods. We provide a concrete estimating procedure for these nuisances and show they can lead to valid inference. Synthetic experiments validate the numerical performance of our inference method, and we implement it in real-life decision-making problems, including bike repositioning and AI agentic tool use.
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