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Paper · arXiv

Functional Natural Policy Gradients

We propose a cross-fitted debiasing device for policy learning from offline data. A key consequence of the resulting learning principle is $\sqrt N$ regret even for policy classes with complexity greater than Donsker, provided a product-of-errors nuisance remainder is $O(N^{-1/2})$. The regret bound factors into a plug-in policy error factor governed by policy-class complexity and an environment nuisance factor governed by the complexity of the environment dynamics, making explicit how one may be traded against the other.

AuthorsAurelien Bibaut, Houssam Zenati, Thibaud Rahier et al.
Primary categorystat.ML
Published30 March 2026
Last updated at source3 April 2026
stat.MLcs.LG
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