mlsanityData to 7 Oct 2026

Your Language Model is Its Own Critic: Reinforcement Learning with Value Estimation from Actor's Internal States

arXiv 2605.07579 ↗First posted 8 May 2026cs.LG cs.AI cs.CLcited by 2

On the map: LLM reasoning → Reinforcement learning for reasoning

Abstract (arXiv)

Reinforcement learning with verifiable rewards (RLVR) for Large Reasoning Models rests on variance reduction, which requires both a reliable baseline and high prompt diversity within each training batch. This is especially difficult in multi-domain training for general reasoning models, where prompts from different tasks induce highly diverse gradient signals. Existing approaches fall short in different ways: GRPO estimates its baseline as the group mean over rollouts from the same prompt, so an accurate baseline leaves fewer distinct prompts in the batch, while PPO avoids this trade-off by training a policy scale critic, roughly doubling the cost of training. We introduce POISE (Policy Optimization with Internal State Value Estimation), a reinforcement learning algorithm that turns the model's internal states into a value model. A lightweight probe reads the signals already computed during the forward pass to predict the baseline, and is trained online alongside the policy. To preserve gradient unbiasedness, we introduce a cross-rollout construction that predicts each rollout's value from an independent rollout's internal states. On Qwen3-4B and OLMo3-7B-Instruct-DPO across a six-domain verifiable-reward corpus, POISE outperforms other RLVR baselines while achieving more stable training. Moreover, the probe matches a separate LLM-scale value model, generalizes to various tasks, and remains accurate as the policy scales. By leveraging the model's internal representations, POISE enables stable policy optimization.

Key facts. Cited by 2 papers in the map (data through 7 Oct 2026). Placed in Reinforcement learning for reasoning, one of 17 directions in LLM reasoning. Builds on 53 of its 77 references that are in the map. First posted on arXiv 8 May 2026.

Builds on

53 of 77 references.

Closest ancestors · 11

Same direction, newest first

  1. 2026SPPO: Sequence-Level PPO for Long-Horizon Reasoning Tasks10 Apr
  2. 2026To Mix or To Merge: Toward Multi-Domain Reinforcement Learning for Large Language Models13 Feb
  3. 2026Multi-Task GRPO: Reliable LLM Reasoning Across Tasks5 Feb
  4. 2026Advancing General-Purpose Reasoning Models with Modular Gradient Surgery2 Feb
  5. 2025Shrinking the Variance: Shrinkage Baselines for Reinforcement Learning with Verifiable Rewards5 Nov
  6. 2025Revisiting Reinforcement Learning for LLM Reasoning from A Cross-Domain Perspective17 Jun
  7. 2025Act Only When It Pays: Efficient Reinforcement Learning for LLM Reasoning via Selective Rollouts2 Jun
  8. 2025Beyond the 80/20 Rule: High-Entropy Minority Tokens Drive Effective Reinforcement Learning for LLM Reasoning2 Jun
  9. 2025Open-Reasoner-Zero: An Open Source Approach to Scaling Up Reinforcement Learning on the Base Model31 Mar
  10. 2023Direct Preference Optimization: Your Language Model is Secretly a Reward Model29 May
  11. 2017Proximal Policy Optimization Algorithms20 Jul

Other references · 42

  1. 2022Training language models to follow instructions with human feedbackcited by 15,712
  2. 2024DeepSeekMath: Pushing the Limits of Mathematical Reasoning in Open Language Modelscited by 8,851
  3. 2021Evaluating Large Language Models Trained on Codecited by 8,053
  4. 2023Efficient Memory Management for Large Language Model Serving with PagedAttentioncited by 5,767
  5. 2021Measuring Mathematical Problem Solving With the MATH Datasetcited by 5,203
  6. 2021Program Synthesis with Large Language Modelscited by 3,509
  7. 2023GPQA: A Graduate-Level Google-Proof Q&A Benchmarkcited by 2,748
  8. 2024LiveCodeBench: Holistic and Contamination Free Evaluation of Large Language Models for Codecited by 1,906
  9. 2023Inference-Time Intervention: Eliciting Truthful Answers from a Language Modelcited by 1,259
  10. 2023Representation Engineering: A Top-Down Approach to AI Transparencycited by 1,239
  11. 2023Instruction-Following Evaluation for Large Language Modelscited by 1,143
  12. 2022Discovering Latent Knowledge in Language Models Without Supervisioncited by 733
30 more
  1. 2023The Linear Representation Hypothesis and the Geometry of Large Language Modelscited by 679
  2. 2023The Internal State of an LLM Knows When It's Lyingcited by 644
  3. 2021FinQA: A Dataset of Numerical Reasoning over Financial Datacited by 552
  4. 2025Stop Overthinking: A Survey on Efficient Reasoning for Large Language Modelscited by 456
  5. 2025Rubrics as Rewards: Reinforcement Learning Beyond Verifiable Domainscited by 328
  6. 2025Demystifying Long Chain-of-Thought Reasoning in LLMscited by 323
  7. 2024CRUXEval: A Benchmark for Code Reasoning, Understanding and Executioncited by 294
  8. 2024LiveBench: A Challenging, Contamination-Limited LLM Benchmarkcited by 242
  9. 2017Distral: Robust Multitask Reinforcement Learningcited by 231
  10. 2025ZebraLogic: On the Scaling Limits of LLMs for Logical Reasoningcited by 186
  11. 2025Generalizing Verifiable Instruction Followingcited by 178
  12. 2025Reasoning Models Know When They're Right: Probing Hidden States for Self-Verificationcited by 154
  13. 2022MultiHiertt: Numerical Reasoning over Multi Hierarchical Tabular and Textual Datacited by 120
  14. 2021HiTab: A Hierarchical Table Dataset for Question Answering and Natural Language Generationcited by 117
  15. 2025ACECODER: Acing Coder RL via Automated Test-Case Synthesiscited by 89
  16. 2013The Optimal Reward Baseline for Gradient-Based Reinforcement Learningcited by 84
  17. 2024Critical Tokens Matter: Token-Level Contrastive Estimation Enhances LLM's Reasoning Capabilitycited by 80
  18. 2025CodeI/O: Condensing Reasoning Patterns via Code Input-Output Predictioncited by 54
  19. 2025NVIDIA Nemotron 3: Efficient and Open Intelligencecited by 54
  20. 2026Nemotron-Cascade 2: Post-Training LLMs with Cascade RL and Multi-Domain On-Policy Distillationcited by 53
  21. 2018The Mirage of Action-Dependent Baselines in Reinforcement Learningcited by 46
  22. 2025Prompt Curriculum Learning for Efficient LLM Post-Trainingcited by 40
  23. 2025No Answer Needed: Predicting LLM Answer Accuracy from Question-Only Linear Probescited by 35
  24. 2025ToolDial: Multi-turn Dialogue Generation Method for Tool-Augmented Language Modelscited by 34
  25. 2025MoDoMoDo: Multi-Domain Data Mixtures for Multimodal LLM Reinforcement Learningcited by 29
  26. 2025The LLM Already Knows: Estimating LLM-Perceived Question Difficulty via Hidden Representationscited by 26
  27. 2025Imbalanced Gradients in RL Post-Training of Multi-Task LLMscited by 19
  28. 2025Trace Length is a Simple Uncertainty Signal in Reasoning Modelscited by 16
  29. 2026V0.5: Generalist Value Model as a Prior for Sparse RL Rolloutscited by 5
  30. 2026Sparse Reward Subsystem in Large Language Modelscited by 3

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Cited by year (2026 to 7 Oct)

Citing papers per year: 2026: 2.

2 papers.

Similar, not cited

Close in wording, no citation either way

  1. 2026VIMPO: Value-Implicit Policy Optimization for LLMs
  2. 2026Contextual Rollout Bandits for Reinforcement Learning with Verifiable Rewards
  3. 2026V0: A Generalist Value Model for Any Policy at State Zero
  4. 2026P^2O: Joint Policy and Prompt Optimization
  5. 2026BASIS: Batchwise Advantage Estimation from Single-Rollout Information Sharing for LLM Reasoning
  6. 2026Beyond Negative Rollouts: Positive-Only Policy Optimization with Implicit Negative Gradients
  7. 2025Efficient Reinforcement Learning for Large Language Models with Intrinsic Exploration
  8. 2026Privy to the Foil: Recasting Value Estimation with a Self-Privileged Critic for RLVR