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Paper · arXiv

Offline Policy Evaluation via Mixed Bellman Residuals and Adaptive Critic Representations

Evaluating a target policy using data generated by a different behavior policy remains a fundamental challenge in reinforcement learning. While most existing work relies on the standard one-step Bellman residual, we consider a convex combination of one-step and two-step residuals with a fixed mixing weight. In ideal settings, this mixed Bellman formulation can provide a natural bias--variance trade-off between approximation error under a restricted value-function class and the increased variance arising from multi-step importance weighting. To solve this mixed residual optimization, we adopt a minimax formulation involving a critic function. Unlike standard approaches that rely on a fixed...

AuthorsAmitakshar Biswas, Yuhan Li, Ruoqing Zhu
Primary categorystat.ML
Published27 September 2026
Last updated at source27 September 2026
stat.MLcs.LG
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