The paper defines an intrinsic drift budget C_T in Fisher-Rao distance along the learner-environment trajectory and proves prequential reproducibility gaps bounded by order T^{-1/2} + C_T/T with a matching lower bound on regular subclasses.
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Learning under Distributional Drift: Prequential Reproducibility as an Intrinsic Statistical Resource
The paper defines an intrinsic drift budget C_T in Fisher-Rao distance along the learner-environment trajectory and proves prequential reproducibility gaps bounded by order T^{-1/2} + C_T/T with a matching lower bound on regular subclasses.