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Non-deterministic floating-point math creates tiny numerical differences between training and inference runs. In Mixture-of-Experts (MoE) models, these small deviations can cause different "experts" to be activated, amplifying the error and destabilizing RL. This requires special techniques like "router replay" to ensure consistency.

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Mixture-of-Experts Models Amplify Numerical Mismatches in RL Training | RiffOn