T5: Twin-Critic Training for Token-Level Thoughts in Reinforcement Mid-Training
On the map: LLM reasoning → Reinforcement learning for reasoning
Abstract (arXiv)
Reinforcement mid-training lets language models learn internal thoughts from unlabeled text, but efficient token-level credit assignment remains challenging. Existing group-relative methods require costly repeated generation. Learned critics offer single-rollout feedback, but accurate return prediction alone does not ensure reliable policy updates. Our analysis shows how training--inference mismatch and PPO clipping prevent a common offset in advantage estimates from cancelling out, introducing additional update drift. We propose tfour, a twin-critic method that calibrates token-level advantages from a single generated trajectory. After warmup and held-out qualification, the critics provide two advantage estimates, combined using action-dependent weights learned through a conditional-moment saddle-point objective. This objective brings the average advantage at each prefix toward zero, while a signal-retention constraint prevents the correction from erasing the learning signal. Sharing information across text positions avoids repeated sampling of each prefix. Theoretically, we characterize optimal mixing under the signal-retention constraint and establish an upper bound on residual mean-induced drift. Experiments show that, compared with the state-of-the-art critic-free method, tfour improves mean benchmark performance by 7.8% and reduces mean training-step time by up to 63.4%.
Key facts. No citing papers in the map yet (data through 14 Oct 2026). Placed in Reinforcement learning for reasoning, one of 17 directions in LLM reasoning. Builds on 26 of its 43 references that are in the map. First posted on arXiv 26 Sep 2026.
Builds on
26 of 43 references.
Closest ancestors · 9
Same direction, newest first
- 2026Beyond Uniform Token-Level Trust Region in LLM Reinforcement Learning9 Jun
- 2025Reinforcement Mid-Training29 Sep
- 2025RLP: Reinforcement as a Pretraining Objective26 Sep
- 2025VAPO: Efficient and Reliable Reinforcement Learning for Advanced Reasoning Tasks7 Apr
- 2025Understanding R1-Zero-Like Training: A Critical Perspective26 Mar
- 2025DAPO: An Open-Source LLM Reinforcement Learning System at Scale18 Mar
- 2025DeepSeek-R1: Incentivizing Reasoning Capability in LLMs via Reinforcement Learning22 Jan
- 2025REINFORCE++: Stabilizing Critic-Free Policy Optimization with Global Advantage Normalization4 Jan
- 2017Proximal Policy Optimization Algorithms20 Jul
Other references · 17
- 2021Training Verifiers to Solve Math Word Problemscited by 10,109
- 2024DeepSeekMath: Pushing the Limits of Mathematical Reasoning in Open Language Modelscited by 9,379
- 2025Qwen3 Technical Reportcited by 8,820
- 2018Think you have Solved Question Answering? Try ARC, the AI2 Reasoning Challengecited by 4,886
- 2019PIQA: Reasoning about Physical Commonsense in Natural Languagecited by 2,883
- 2015High-Dimensional Continuous Control Using Generalized Advantage Estimationcited by 2,026
- 2024The FineWeb Datasets: Decanting the Web for the Finest Text Data at Scalecited by 1,160
- 2025Group Sequence Policy Optimizationcited by 835
- 2023OpenWebMath: An Open Dataset of High-Quality Mathematical Web Textcited by 155
- 2025Reinforcement Pre-Trainingcited by 40
- 2026Single-Rollout Asynchronous Optimization for Agentic Reinforcement Learningcited by 37
- 2025Reinforcement Learning on Pre-Training Datacited by 12
5 more
- 2025PretrainZero: Reinforcement Active Pretrainingcited by 8
- 2025Fast Quiet-STaR: Thinking Without Thought Tokenscited by 5
- 2026Score Centering Stabilizes Off-policy Reinforcement Learningcited by 3
- 2026Less is More: Clustered Cross-Covariance Control for Offline RLcited by 1
- 2026AdamO: A Collapse-Suppressed Optimizer for Offline RLcited by 1
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- 2026Learning with a Single Rollout via Pass@k Policy Optimization
- 2026Joint Training of Multi-Token Prediction in Reinforcement Learning via Optimal Coefficient Calibration
- 2026Reinforcement Inference: Leveraging Uncertainty for Self-Correcting Language Model Reasoning
- 2025Language Models Can Learn from Verbal Feedback Without Scalar Rewards
- 2024Beyond Sparse Rewards: Enhancing Reinforcement Learning with Language Model Critique in Text Generation