CPA: Efficient and Stable FP4 RL Training via Cross-Precision Alignment

Reinforcement learning (RL) for large language models (LLMs) is increasingly bottlenecked by rollout cost, making low-precision rollout appealing for acceleration. However, applying low-precision formats such as FP4 to RL remains unstable, even with quantization-aware training (QAT) enhancements. We identify that the root cause is that FP4’s aggressive quantization amplifies small system-level numerical differences (i.e., training-inference stack mismatch) that are harmless at BF16 into large token-level log-probability errors, distorting importance weights and destabilizing optimization. To address this, we propose Cross-Precision Alignment (CPA), a simple regularizer that stabilizes low-precision RL by maintaining a BF16 master policy, executing rollouts in real FP4, and aligning the fake-quantized forward pass with a BF16 reference forward pass on sampled tokens by applying a low-variance KL penalty at each training step. In our evaluation, the resulting BF16 checkpoint matches a full BF16 RL baseline, and the overall pipeline delivers 8–19\% end-to-end training speedup.