mlsanityData to 7 Oct 2026

Rethinking Critic Learning in PPO: Understanding and Mitigating Value Flattening

arXiv 2609.18708 ↗First posted 16 Sep 2026cs.LG cs.AIcited by 1

On the map: LLM reasoning → Reinforcement learning for reasoning

Abstract (arXiv)

In reinforcement learning for large language models, Proximal Policy Optimization (PPO) commonly uses a critic to estimate state values and reduce the variance of policy updates. However, we uncover a systematic failure mode in PPO critics, which we call Value Flattening: state values, estimated from multiple Monte Carlo continuations, change sharply across intermediate states while critic predictions remain comparatively flat. We further observe this phenomenon in a controlled FrozenLake environment and find that it becomes more pronounced as the state space grows. Our theoretical and empirical analyses relate Value Flattening to an implicit variance penalty in the critic loss and redundant updates from temporally correlated states with similar gradients. Motivated by these findings, we introduce SParse Proximal Policy Optimization (SP3O), which applies the value loss to only a few well-separated states in each response to mitigate both effects. Experiments on Qwen3-Base show that SP3O with only three states supervised per response can mitigate Value Flattening and consistently improve the learned policy across model sizes and evaluation suites. Together, our results identify Value Flattening as an important yet overlooked failure mode of critic learning in standard PPO and show that a simple sparse supervision strategy can mitigate it.

Key facts. Cited by 1 paper in the map (data through 7 Oct 2026). Placed in Reinforcement learning for reasoning, one of 17 directions in LLM reasoning. Builds on 36 of its 40 references that are in the map. First posted on arXiv 16 Sep 2026.

Builds on

36 of 40 references.

Closest ancestors · 13

Same direction, newest first

  1. 2026Best Practice Critic Optimization24 Aug
  2. 2026VIMPO: Value-Implicit Policy Optimization for LLMs18 Jun
  3. 2026RREDCoT: Segment-Level Reward Redistribution for Reasoning Models4 Jun
  4. 2026SPPO: Sequence-Level PPO for Long-Horizon Reasoning Tasks10 Apr
  5. 2026Segmental Advantage Estimation: Enhancing PPO for Long-Context LLM Training12 Jan
  6. 2025Exploiting Tree Structure for Credit Assignment in RL Training of LLMs22 Sep
  7. 2025Segment Policy Optimization: Effective Segment-Level Credit Assignment in RL for Large Language Models29 May
  8. 2025VAPO: Efficient and Reliable Reinforcement Learning for Advanced Reasoning Tasks7 Apr
  9. 2025Open-Reasoner-Zero: An Open Source Approach to Scaling Up Reinforcement Learning on the Base Model31 Mar
  10. 2025DAPO: An Open-Source LLM Reinforcement Learning System at Scale18 Mar
  11. 2025What's Behind PPO's Collapse in Long-CoT? Value Optimization Holds the Secret3 Mar
  12. 2023Let's Verify Step by Step31 May
1 more
  1. 2017Proximal Policy Optimization Algorithms20 Jul

Other references · 23

  1. 2024DeepSeekMath: Pushing the Limits of Mathematical Reasoning in Open Language Modelscited by 8,851
  2. 2025Qwen3 Technical Reportcited by 8,195
  3. 2018Think you have Solved Question Answering? Try ARC, the AI2 Reasoning Challengecited by 4,710
  4. 2023GPQA: A Graduate-Level Google-Proof Q&A Benchmarkcited by 2,748
  5. 2015High-Dimensional Continuous Control Using Generalized Advantage Estimationcited by 1,916
  6. 2024MMLU-Pro: A More Robust and Challenging Multi-Task Language Understanding Benchmarkcited by 1,758
  7. 2016OpenAI Gymcited by 1,684
  8. 2022Solving Quantitative Reasoning Problems with Language Modelscited by 1,359
  9. 2024OlympiadBench: A Challenging Benchmark for Promoting AGI with Olympiad-Level Bilingual Multimodal Scientific Problemscited by 1,099
  10. 2023AGIEval: A Human-Centric Benchmark for Evaluating Foundation Modelscited by 701
  11. 2024VinePPO: Refining Credit Assignment in RL Training of LLMscited by 168
  12. 2024Back to Basics: Revisiting REINFORCE Style Optimization for Learning from Human Feedback in LLMscited by 103
11 more
  1. 2026Kimi K3: Open Frontier Intelligencecited by 99
  2. 2025TreeRL: LLM Reinforcement Learning with On-Policy Tree Searchcited by 75
  3. 2025xVerify: Efficient Answer Verifier for Reasoning Model Evaluationscited by 53
  4. 2026Single-Rollout Asynchronous Optimization for Agentic Reinforcement Learningcited by 26
  5. 2026CompactionRL: Reinforcement Learning with Context Compaction for Long-Horizon Agentscited by 8
  6. 2025P1: Mastering Physics Olympiads with Reinforcement Learningcited by 7
  7. 2026P1-VL: Bridging Visual Perception and Scientific Reasoning in Physics Olympiadscited by 7
  8. 2026Bringing Value Models Back: Generative Critics for Value Modeling in LLM Reinforcement Learningcited by 7
  9. 2026Achieving Gold-Medal-Level Olympiad Reasoning via Simple and Unified Scalingcited by 7
  10. 2026SimpleOPD: Simple Tokenizer-Agnostic On-Policy Distillation for Long-Context Reasoningcited by 4
  11. 2026OMIBench: Benchmarking Olympiad-Level Multi-Image Reasoning in Large Vision-Language Modelcited by 3

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Citing papers per year: 2026: 1.

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  4. 2026Unlocking the Critic: Reward-Free Policy Optimization for LLM Post-Training
  5. 2026BRACE: Anchored Bellman-Residual Correction for Stale Critics in Asynchronous RL
  6. 2026PS-PPO: Prefix-Sampling PPO for Critic-Free RLHF
  7. 2025BAPO: Stabilizing Off-Policy Reinforcement Learning for LLMs via Balanced Policy Optimization with Adaptive Clipping
  8. 2026Value-Gradient Hypothesis of RL for LLMs