Research map / Large language models / Reasoning and chain of thought
Test-Time Scaling with Reflective Generative Model
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Proposes Reflective Generative Model (MetaStone-S1), sharing one backbone between policy and a lightweight self-supervised process reward head (SPRM) trained only with final-answer correctness, for best-of-k test-time scaling.
Problem
External test-time scaling relies on separate, costly process reward models that need step-level annotations and are off-policy; the paper aims to make reasoning trajectory selection cheap and label-free.
Approach
A Reflective Generative Form shares the backbone between the policy LLM and a Self-supervised Process Reward Model head (two linear layers plus dropout) that scores each step-token's hidden state; the head is trained with an SPR loss that uses only final-answer correctness and self-predicted pseudo-label filtering weights, enabling on-policy PRM learning with GRPO.
Key results
- MetaStone-S1-32B-high reaches 85.2 on AIME24 and 73.6 on AIME25, above QwQ-32B (79.5, 69.5) and close to o3-mini-medium (79.6, 74.8).
- SPRM with ~26M extra parameters on 7B (70.2 AIME24) outperforms a 72B Qwen2.5-Math-PRM (68.8) on AIME24.
- MetaStone-S1-1.5B gains 18.6 points on AIME24 over its baseline (57.9 vs 39.3 at high effort).
Surprising findings
- Outcome-only self-supervised SPRM with 5-53M extra parameters matches or beats 72B external reward models on AIME24/AIME25/LiveCodeBench.
- Treating final-answer correctness as step-level labels adds noise; the self-filtered SPR loss gives a larger score gap than BCE.
Limitations
- MCTS with SPRM underperforms Best-of-N under the reported budget due to search overhead.
- Training data limited to math-related sources; generalization to other domains is only shown on LiveCodeBench and C-Eval.
- Reported o3-mini numbers are marked with an asterisk and the comparison mixes effort levels.
Experimental setup
Datasets: NuminaMath OpenR1-Math-220k DeepScaleR LIMR OREAL-RL
Benchmarks: AIME2024 AIME2025 LiveCodeBench C-Eval
Metrics: Pass@1 averaged over 64 repeats
Baselines: Qwen2.5-Math-RM Qwen2.5-Math-PRM DeepSeek-R1-671B OpenAI o3-mini QwQ-32B R1-Distill-Qwen-32B DeepScaleR-1.5B-Preview GLM-Z1-32B-0414
Builds on: GRPO DeepSeek-R1-Distill-Qwen QwQ-32B
Closest papers by meaning
- GenPRM: Scaling Test-Time Compute of Process Reward Models via Generative Reasoning (AAAI 2026 · similarity 0.86)
- Think-RM: Enabling Long-Horizon Reasoning in Generative Reward Models (NeurIPS 2025 · similarity 0.85)
- SRPO: Self-Reflective Policy Optimization for Long-Horizon Reasoning (ICML 2026 · similarity 0.85)
- Rethinking Reward Models for Multi-Domain Test-Time Scaling (NeurIPS 2026 · similarity 0.85)
- From Mathematical Reasoning to Code: Generalization of Process Reward Models in Test-Time Scaling (AAAI 2026 · similarity 0.85)
- Beyond What Seems Necessary: Hidden Gains from Scaling Training-Time Reasoning Length under Outcome Supervision (NeurIPS 2026 · similarity 0.85)
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