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About this paper
Harvey Barnhard, Giacomo Opocher, Rahul Singh
Stable Policy Learning extends policy evaluation beyond expected welfare by treating variation across possible experimental samples as a distinct form of decision risk. It formalizes welfare stability, proves that single-observation sensitivity controls welfare variance and poor-policy tail risk, and shows that policy-vote bagging can reduce this instability while preserving favorable welfare rates.
Key insights
- A learning algorithm’s sensitivity to one training observation provides a general measure of how much its policy welfare can fluctuate across experimental samples.
- Complete bagging limits the welfare effect of replacing one observation to at most an m/n fraction of the underlying policy effect, while concavity implies that averaging can improve expected utility by reducing welfare dispersion.
- The optimal subsample size depends on estimation speed and risk aversion: full-sample learning is rate-optimal in parametric settings, whereas smaller bags can be preferable for slower nonparametric learners or finite samples with high sampling-risk concerns.
Summary by alphaXiv.
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