mlsanityData to 7 Oct 2026

Trust the Critic More

arXiv 2609.39247 ↗First posted 30 Sep 2026cs.LG cs.AIcited by 0

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Abstract (arXiv)

Standard language model RL algorithms credit every token of a long rollout with the same advantage determined by the terminal reward. Actor-critic methods can provide finer-grained credit assignment, but learned critics are generally considered too inaccurate to trust when training LLMs with RL. In recent works, even when a critic is present, it is used only for baseline estimation, so every trajectory must be rolled out to its terminal reward. We introduce Actor-Critic with Action Chunking (AC2) that removes the need to roll every trajectory to completion. AC2 instead assigns credit to action chunks: short continuations of prefixes of past trajectories. A learned critic scores the state reached at the end of each action chunk, allowing the policy to update without observing a terminal reward. We make critic-based credit assignment reliable through three design choices. First, we introduce local readiness which uses critic-based updates on a problem only when the critic is sufficiently accurate on that particular problem. Second, when available, we provide the critic with a reference solution from a previous successful rollout. Third, we assign credit over action chunks of 10k tokens rather than individual tokens, giving the critic a more meaningful portion of the trajectory to evaluate. We train Qwen3-4B on FineProofs-RL using AC2 and evaluate on IMO-ProofBench. AC2 exceeds GRPO's peak validation score of 18.5% using 2.5x fewer decoding FLOPs. This gain comes from two sources, (1) AC2 requires 25% fewer training steps to reach this score, and (2) each step generates fewer tokens because the policy does not need to continue every trajectory to completion. Conceptually, we demonstrate that we can remove the need to roll out every trajectory to completion, opening up a large previously unexplored design space for LLM RL algorithms.

Key facts. No citing papers in the map yet (data through 7 Oct 2026). Builds on 28 of its 35 references that are in the map. First posted on arXiv 30 Sep 2026.

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28 of 35 references.

References · 28

  1. 2022Training language models to follow instructions with human feedbackcited by 15,712
  2. 2017Proximal Policy Optimization Algorithmscited by 14,441
  3. 2024DeepSeekMath: Pushing the Limits of Mathematical Reasoning in Open Language Modelscited by 8,851
  4. 2025Qwen3 Technical Reportcited by 8,195
  5. 2018Soft Actor-Critic: Off-Policy Maximum Entropy Deep Reinforcement Learning with a Stochastic Actorcited by 4,635
  6. 2025DAPO: An Open-Source LLM Reinforcement Learning System at Scalecited by 2,678
  7. 2018Addressing Function Approximation Error in Actor-Critic Methodscited by 2,302
  8. 2016Asynchronous Methods for Deep Reinforcement Learningcited by 2,218
  9. 2015High-Dimensional Continuous Control Using Generalized Advantage Estimationcited by 1,916
  10. 2023Learning Fine-Grained Bimanual Manipulation with Low-Cost Hardwarecited by 1,490
  11. 2025Understanding R1-Zero-Like Training: A Critical Perspectivecited by 1,276
  12. 2026DeepSeek-V4: Towards Highly Efficient Million-Token Context Intelligencecited by 877
16 more
  1. 2025VAPO: Efficient and Reliable Reinforcement Learning for Advanced Reasoning Taskscited by 281
  2. 2025MiniMax-M1: Scaling Test-Time Compute Efficiently with Lightning Attentioncited by 248
  3. 2024VinePPO: Refining Credit Assignment in RL Training of LLMscited by 168
  4. 2025Reinforcement Learning with Action Chunkingcited by 97
  5. 2025The Art of Scaling Reinforcement Learning Compute for LLMscited by 91
  6. 2025Segment Policy Optimization: Effective Segment-Level Credit Assignment in RL for Large Language Modelscited by 75
  7. 2025Towards Robust Mathematical Reasoningcited by 67
  8. 2023Don't throw away your value model! Generating more preferable text with Value-Guided Monte-Carlo Tree Search decodingcited by 59
  9. 2026Reuse your FLOPs: Scaling RL on Hard Problems by Conditioning on Very Off-Policy Prefixescited by 16
  10. 2026Bringing Value Models Back: Generative Critics for Value Modeling in LLM Reinforcement Learningcited by 7
  11. 2026EVPO: Explained Variance Policy Optimization for Adaptive Critic Utilization in LLM Post-Trainingcited by 6
  12. 2026V0.5: Generalist Value Model as a Prior for Sparse RL Rolloutscited by 5
  13. 2026Best Practice Critic Optimizationcited by 3
  14. 2026QED-Nano: Teaching a Tiny Model to Prove Hard Theoremscited by 2
  15. 2026Your Language Model is Its Own Critic: Reinforcement Learning with Value Estimation from Actor's Internal Statescited by 2
  16. 2026Le Critique: Privileged Value Functions for LLM Reinforcement Learningcited by 1

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  1. 2026PACT: From Credit Assignment to Critic Alignment
  2. 2026Learning with a Single Rollout via Monte Carlo Pass@k Critic
  3. 2026From Reasoning to Agentic: Credit Assignment in Reinforcement Learning for Large Language Models
  4. 2026Overconfident Errors Need Stronger Correction: Asymmetric Confidence Penalties for Reinforcement Learning
  5. 2026The Cancellation Hypothesis in Critic-Free RL: From Outcome Rewards to Token Credits
  6. 2026VETTA: Coordinating Turn- and Token-Level Credit Assignment for Multi-Turn LLM Agents
  7. 2025Critique-RL: Training Language Models for Critiquing through Two-Stage Reinforcement Learning
  8. 2025Response-Level Rewards Are All You Need for Online Reinforcement Learning in LLMs: A Mathematical Perspective