Spurious Rewards: Rethinking Training Signals in RLVR
Reinforcement learning with verifiable rewards (RLVR) surprisingly improves mathematical reasoning performance even under spurious reward signals (e.g., random, formatting-based, or incorrect labels), yet the underlying mechanism remains unclear. Method: We analyze RLVR’s effect on Qwen2.5-Math and contrast it with Llama3 and OLMo2, employing single-step reinforcement and majority-voting pseudo-rewards on MATH-500. Contribution/Results: We find RLVR activates latent reasoning representations embedded in Qwen2.5-Math’s pretraining—without requiring ground-truth rewards—by specifically amplifying “code-style reasoning,” a critical inference behavior whose frequency rises from 65% to >90%. This phenomenon is model-specific and absent in other architectures. RLVR achieves a 27.1% accuracy gain on MATH-500, approaching the 29.1% gain attained with true rewards. Our work is the first to demonstrate that RLVR enhances generalization via model-specific restructuring of reasoning patterns, establishing a novel paradigm for unsupervised reasoning alignment.