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Grouped reward normalization expresses each sampled response’s reward relative to other responses for the same prompt.
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DeepSeek introduced this mechanism in Group Relative Policy Optimization (GRPO), a PPO variant that omits a separate value-model critic. It provides a relative training signal, but does not guarantee that prompt difficulty or reward scale is fully corrected.
DeepSeekMath introduced Group Relative Policy Optimization (GRPO) for language-model reinforcement learning. For each prompt, the policy samples a group of responses and computes rewards. Each response’s advantage is based on its reward relative to the group mean and, in the original outcome-supervision formulation, the group standard deviation. The group statistic replaces the separate learned value-model baseline used in PPO. DeepSeekMath applied GRPO to mathematical reasoning with verifiable rewards; the method is not limited to human-preference RLHF. When all responses receive the same reward, centering gives no relative advantage, and a zero standard deviation requires numerical handling in implementations.
Comparing several candidate math solutions from one prompt using a verifier score
Using code-test results to rank responses generated for the same coding prompt
Inspecting how a reward model’s scores vary within one prompt group
Reducing memory use in a PPO-style language-model update by omitting a separate value network
Grouped policy optimization is used in work on verifiable-reward reasoning, but its behavior depends on group sampling, reward functions, normalization choices, and implementation details. Research continues on reward diversity, process supervision, and stability. Evaluation should distinguish memory savings from improvements in reasoning quality.
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Grouped reward normalization expresses each sampled response’s reward relative to other responses for the same prompt. DeepSeek introduced this mechanism in Group Relative Policy Optimization (GRPO), a PPO variant that omits a separate value-model critic. It provides a relative training signal, but does not guarantee that prompt difficulty or reward scale is fully corrected.
Each reward is converted to a z-score using the mean and standard deviation of the group of responses to the same prompt.
GRPO, introduced by DeepSeek and used in DeepSeek-R1, is built around normalizing rewards within a group.
By using the group average as the baseline, GRPO drops the learned critic, saving memory and compute.
Subtracting the group mean makes below-average responses have negative advantage, pushing the policy away from them.
Group normalization supplies relative advantages among responses to one prompt and scales them by the group spread; it does not guarantee that all prompt-specific differences vanish.
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Length Normalization in Preference Optimization
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