arXiv Machine Learning By Shivam Gupta

Marginally Correct Tool Caches Can Reverse Group-Normalized Policy Updates

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The paper investigates how marginally correct tool-result caching can affect group-normalized policy updates in reinforcement learning. Using a two-action model, the authors show that sharing a single stochastic result per group can reverse the expected direction of policy updates, leading to a wrong-direction region and a persistent update-variance floor as group size increases. They derive exact finite-group expressions, verify them across numerous configurations, and demonstrate that centering without group standard-deviation scaling preserves the correct update direction.

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