Beyond High-Entropy Exploration: Correctness-Aware Low-Entropy Segment-Based Advantage Shaping for Reasoning LLMs
On the map: LLM reasoning → Reinforcement learning for reasoning
Abstract (arXiv)
Reinforcement Learning with Verifiable Rewards (RLVR) has become a central approach for improving the reasoning ability of large language models. Recent work studies RLVR through token entropy, arguing that high-entropy tokens drive exploration and should receive stronger updates. However, they overlook the fact that most of a reasoning trajectory consists of low-entropy segments that encode stable and reusable structural patterns. Through qualitative and quantitative analyses, we find that the overlap of low-entropy segments across correct responses strongly correlates with model accuracy, while overlaps involving incorrect responses exhibit stable but unproductive patterns. Motivated by these findings, we propose LESS, a correctness-aware reinforcement framework that performs fine-grained advantage modulation over low-entropy segments. LESS amplifies segments unique to correct responses, suppresses those unique to incorrect ones, and neutralizes segments shared by both, while preserving high-entropy exploration in the underlying RL algorithm. Instantiated on top of the popular GRPO, LESS consistently improves accuracy over strong RL baselines across three backbones and six math benchmarks, achieves stronger robustness of the performance floor.
Key facts. Cited by 10 papers in the map (data through 7 Oct 2026). Placed in Reinforcement learning for reasoning, one of 17 directions in LLM reasoning. Builds on 30 of its 34 references that are in the map. First posted on arXiv 30 Nov 2025.
Builds on
30 of 34 references.
Closest ancestors · 13
Same direction, newest first
- 2025SSPO: Subsentence-level Policy Optimization6 Nov
- 2025CAPO: Towards Enhancing LLM Reasoning through Generative Credit Assignment4 Aug
- 2025EDGE-GRPO: Entropy-Driven GRPO with Guided Error Correction for Advantage Diversity29 Jul
- 2025First Return, Entropy-Eliciting Explore9 Jul
- 2025Reasoning with Exploration: An Entropy Perspective17 Jun
- 2025Beyond the 80/20 Rule: High-Entropy Minority Tokens Drive Effective Reinforcement Learning for LLM Reasoning2 Jun
- 2025Segment Policy Optimization: Effective Segment-Level Credit Assignment in RL for Large Language Models29 May
- 2025The Entropy Mechanism of Reinforcement Learning for Reasoning Language Models28 May
- 2025Reinforcing Multi-Turn Reasoning in LLM Agents via Fine-Grained Reward Structure and Credit Assignment17 May
- 2025VAPO: Efficient and Reliable Reinforcement Learning for Advanced Reasoning Tasks7 Apr
- 2025DAPO: An Open-Source LLM Reinforcement Learning System at Scale18 Mar
- 2025SWE-RL: Advancing LLM Reasoning via Reinforcement Learning on Open Software Evolution25 Feb
Other references · 17
- 2024DeepSeekMath: Pushing the Limits of Mathematical Reasoning in Open Language Modelscited by 8,851
- 2021Measuring Mathematical Problem Solving With the MATH Datasetcited by 5,203
- 2024Qwen2.5 Technical Reportcited by 4,713
- 2024HybridFlow: A Flexible and Efficient RLHF Frameworkcited by 1,980
- 2022Solving Quantitative Reasoning Problems with Language Modelscited by 1,359
- 2024OlympiadBench: A Challenging Benchmark for Promoting AGI with Olympiad-Level Bilingual Multimodal Scientific Problemscited by 1,099
- 2024Qwen2.5-Math Technical Report: Toward Mathematical Expert Model via Self-Improvementcited by 1,057
- 2025GLM-4.5: Agentic, Reasoning, and Coding (ARC) Foundation Modelscited by 446
- 2025MedGemma Technical Reportcited by 398
- 2024Critical Tokens Matter: Token-Level Contrastive Estimation Enhances LLM's Reasoning Capabilitycited by 80
- 2024Dense Reward for Free in Reinforcement Learning from Human Feedbackcited by 77
- 2025Baichuan-M2: Scaling Medical Capability with Large Verifier Systemcited by 55
5 more
- 2025Agent-RLVR: Training Software Engineering Agents via Guidance and Environment Rewardscited by 41
- 2025On Entropy Control in LLM-RL Algorithmscited by 39
- 2025GHPO: Adaptive Guidance for Stable and Efficient LLM Reinforcement Learningcited by 33
- 2024Not Everything is All You Need: Toward Low-Redundant Optimization for Large Language Model Alignmentcited by 7
- 2025Reason Like a Radiologist: Chain-of-Thought and Reinforcement Learning for Verifiable Report Generationcited by 3
Built on by
Citing papers per year: 2026: 10.
10 papers.
- 2026Self-Distilled RLVRcited by 109
- 2026Outcome-Grounded Advantage Reshaping for Fine-Grained Credit Assignment in Mathematical Reasoningcited by 18
- 2026What and When to Distill: Selective Hindsight Distillation for Multi-Turn Agentscited by 9
- 2026Reinforcement Learning from Rich Feedback with Distributional DAggercited by 9
- 2026Where Hindsight Credit Can Reside: A Signed-Capacity View of Token Updates in RLVRcited by 8
- 2026Tailoring Teaching to Aptitude: Direction-Adaptive Self-Distillation for LLM Reasoningcited by 7
- 2026Entropy Polarity in Reinforcement Fine-Tuning: Direction, Asymmetry, and Controlcited by 2
- 2026GRAIL: Gradient-Reweighted Advantages for Reinforcement Learning with Verifiable Rewardscited by 2
- 2026CurveRL: Principled Distribution-Aware Context Reweighting for LLM Reasoningcited by 0
- 2026Surprising Success, Repeated Failure: Entropy-Guided Credit Assignment for Exploration in LLM Reasoningcited by 0
- 2026Surprising Success, Repeated Failure: Entropy-Guided Credit Assignment for Exploration in LLM Reasoning27 Sep 2026
- 2026Reinforcement Learning from Rich Feedback with Distributional DAgger3 Jun 2026
- 2026GRAIL: Gradient-Reweighted Advantages for Reinforcement Learning with Verifiable Rewards3 Jun 2026
- 2026CurveRL: Principled Distribution-Aware Context Reweighting for LLM Reasoning23 May 2026
- 2026Tailoring Teaching to Aptitude: Direction-Adaptive Self-Distillation for LLM Reasoning21 May 2026
- 2026What and When to Distill: Selective Hindsight Distillation for Multi-Turn Agents19 May 2026
- 2026Entropy Polarity in Reinforcement Fine-Tuning: Direction, Asymmetry, and Control12 May 2026
- 2026Where Hindsight Credit Can Reside: A Signed-Capacity View of Token Updates in RLVR13 Apr 2026
- 2026Self-Distilled RLVR3 Apr 2026
- 2026Outcome-Grounded Advantage Reshaping for Fine-Grained Credit Assignment in Mathematical Reasoning12 Jan 2026
Similar, not cited
Close in wording, no citation either way
- 2025Revisiting Entropy in Reinforcement Learning for Large Reasoning Models
- 2025Efficient Reinforcement Learning with Semantic and Token Entropy for LLM Reasoning
- 2026GMTS: Gradient Magnitude-based Token Selection Improves RLVR Training for LLM Reasoning
- 2026Asymmetric Advantage Modulation Calibrates Entropy Dynamics in RLVR
- 2026STARE: Surprisal-Guided Token-Level Advantage Reweighting for Policy Entropy Stability
- 2026Beyond Entropy: Learning from Token-Level Distributional Deviations for LLM Reasoning
- 2025Rethinking Entropy Interventions in RLVR: An Entropy Change Perspective
- 2025Revisiting Entropy Regularization: Adaptive Coefficient Unlocks Its Potential for LLM Reinforcement Learning