mlsanityData to 14 Oct 2026

Promoting Efficient Reasoning with Verifiable Stepwise Reward

arXiv 2508.10293 ↗First posted 14 Aug 2025cs.AIcited by 28

On the map: LLM reasoning → Test-time compute and efficient thinking

Abstract (arXiv)

Large reasoning models (LRMs) have recently achieved significant progress in complex reasoning tasks, aided by reinforcement learning with verifiable rewards. However, LRMs often suffer from overthinking, expending excessive computation on simple problems and reducing efficiency. Existing efficient reasoning methods typically require accurate task assessment to preset token budgets or select reasoning modes, which limits their flexibility and reliability. In this work, we revisit the essence of overthinking and identify that encouraging effective steps while penalizing ineffective ones is key to its solution. To this end, we propose a novel rule-based verifiable stepwise reward mechanism (VSRM), which assigns rewards based on the performance of intermediate states in the reasoning trajectory. This approach is intuitive and naturally fits the step-by-step nature of reasoning tasks. We conduct extensive experiments on standard mathematical reasoning benchmarks, including AIME24 and AIME25, by integrating VSRM with PPO and Reinforce++. Results show that our method achieves substantial output length reduction while maintaining original reasoning performance, striking an optimal balance between efficiency and accuracy. Further analysis of overthinking frequency and pass@k score before and after training demonstrates that our approach in deed effectively suppresses ineffective steps and encourages effective reasoning, fundamentally alleviating the overthinking problem. All code will be released upon acceptance.

Key facts. Cited by 28 papers in the map (data through 14 Oct 2026). Placed in Test-time compute and efficient thinking, one of 17 directions in LLM reasoning. Builds on 29 of its 41 references that are in the map. First posted on arXiv 14 Aug 2025.

Builds on

29 of 41 references.

Closest ancestors · 14

Same direction, newest first

  1. 2025Optimizing Length Compression in Large Reasoning Models17 Jun
  2. 2025CyclicReflex: Improving Reasoning Models via Cyclical Reflection Token Scheduling4 Jun
  3. 2025AdaCtrl: Towards Adaptive and Controllable Reasoning via Difficulty-Aware Budgeting24 May
  4. 2025Optimizing Anytime Reasoning via Budget Relative Policy Optimization19 May
  5. 2025AdaptThink: Reasoning Models Can Learn When to Think19 May
  6. 2025Long-Short Chain-of-Thought Mixture Supervised Fine-Tuning Eliciting Efficient Reasoning in Large Language Models6 May
  7. 2025ShorterBetter: Guiding Reasoning Models to Find Optimal Inference Length for Efficient Reasoning30 Apr
  8. 2025Dynamic Early Exit in Reasoning Models22 Apr
  9. 2025ThinkPrune: Pruning Long Chain-of-Thought of LLMs via Reinforcement Learning2 Apr
  10. 2025DAST: Difficulty-Adaptive Slow-Thinking for Large Reasoning Models6 Mar
  11. 2025LightThinker: Thinking Step-by-Step Compression21 Feb
  12. 2025CoT-Valve: Length-Compressible Chain-of-Thought Tuning13 Feb
2 more
  1. 2025O1-Pruner: Length-Harmonizing Fine-Tuning for O1-Like Reasoning Pruning22 Jan
  2. 2024Token-Budget-Aware LLM Reasoning24 Dec

Other references · 15

  1. 2017Proximal Policy Optimization Algorithmscited by 15,215
  2. 2024DeepSeekMath: Pushing the Limits of Mathematical Reasoning in Open Language Modelscited by 9,379
  3. 2025Qwen3 Technical Reportcited by 8,820
  4. 2025DeepSeek-R1: Incentivizing Reasoning Capability in LLMs via Reinforcement Learningcited by 6,330
  5. 2023Let's Verify Step by Stepcited by 3,789
  6. 2024HybridFlow: A Flexible and Efficient RLHF Frameworkcited by 2,057
  7. 2025Kimi k1.5: Scaling Reinforcement Learning with LLMscited by 1,210
  8. 2025Beyond the 80/20 Rule: High-Entropy Minority Tokens Drive Effective Reinforcement Learning for LLM Reasoningcited by 559
  9. 2025LIMO: Less is More for Reasoningcited by 498
  10. 2025Chain of Draft: Thinking Faster by Writing Lesscited by 297
  11. 2025Training Language Models to Reason Efficientlycited by 247
  12. 2025REINFORCE++: Stabilizing Critic-Free Policy Optimization with Global Advantage Normalizationcited by 241
3 more
  1. 2025GRPO-LEAD: A Difficulty-Aware Reinforcement Learning Approach for Concise Mathematical Reasoning in Language Modelscited by 82
  2. 2025ARM: Adaptive Reasoning Modelcited by 39
  3. 2025AdaMCoT: Rethinking Cross-Lingual Factual Reasoning through Adaptive Multilingual Chain-of-Thoughtcited by 14

Built on by

Cited by year (2026 to 14 Oct)

Citing papers per year: 2025: 9; 2026: 19.

28 papers.

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  1. 2025A Survey of Reinforcement Learning for Large Reasoning Modelscited by 180
  2. 2025rStar2-Agent: Agentic Reasoning Technical Reportcited by 54
  3. 2026Does Your Reasoning Model Implicitly Know When to Stop Thinking?cited by 19
  4. 2025HiPRAG: Hierarchical Process Rewards for Efficient Agentic Retrieval Augmented Generationcited by 10
  5. 2025MTIR-SQL: Multi-turn Tool-Integrated Reasoning Reinforcement Learning for Text-to-SQLcited by 10
  6. 2026MatchTIR: Fine-Grained Supervision for Tool-Integrated Reasoning via Bipartite Matchingcited by 10
  7. 2026ATTNPO: Attention-Guided Process Supervision for Efficient Reasoningcited by 9
  8. 2025LocalSearchBench: Benchmarking Agentic Search in Real-World Local Life Servicescited by 8
  9. 2026Neural Chain-of-Thought Search: Searching the Optimal Reasoning Path to Enhance Large Language Modelscited by 8
  10. 2025SSL4RL: Revisiting Self-supervised Learning as Intrinsic Reward for Visual-Language Reasoningcited by 7
  11. 2025AWPO: Enhancing Tool-Use of Large Language Models through Adaptive Integration of Reasoning Rewardscited by 7
  12. 2026Reward Modeling for Reinforcement Learning-Based LLM Reasoning: Design, Challenges, and Evaluationcited by 7
16 more
  1. 2026π-Play: Multi-Agent Self-Play via Privileged Self-Distillation without External Datacited by 7
  2. 2025Overthinking Reduction with Decoupled Rewards and Curriculum Data Schedulingcited by 4
  3. 2025Training Multi-Image Vision Agents via End2End Reinforcement Learningcited by 4
  4. 2026VistaHop: Benchmarking Long-Horizon Visual DeepSearchcited by 3
  5. 2026SAAS: Self-Aware Reinforcement Learning for Over-Search Mitigation in Agentic Searchcited by 2
  6. 2026TAPO: Tool-Aware Policy Optimization via Credit Transfer for Multimodal Search Agentscited by 2
  7. 2026Modularized Reinforcement Learning on LLMs: From MDP Creation to Exploration and Learningcited by 2
  8. 2026Skip-Connected Policy Optimization for Implicit Advantagecited by 1
  9. 2026AutoSearch: Adaptive Search Depth for Efficient Agentic RAG via Reinforcement Learningcited by 1
  10. 2026Fine-Tuning Small Reasoning Models for Quantum Field Theorycited by 1
  11. 2026ThoughtFold: Folding Reasoning Chains via Introspective Preference Learningcited by 1
  12. 2026Advantage Scale Calibration Imbalance in Group-Relative Optimization under Low-Variance Rewards: Diagnosis and Bounded Recoverycited by 1
  13. 2026Generative Query Suggestion via Intent Coverage and Query-Level Credit Assignmentcited by 1
  14. 2026LogicTrack: Auditing Reasoning Trajectories of Large Language Models with Formal Logic Solverscited by 1
  15. 2026From Outcomes to Strategies: Learning Strategy Utility for Mathematical Reasoningcited by 0
  16. 2026WorkRover: Scaling Long-Horizon Cowork Agent Training Via Recursive Environment Evolutioncited by 0

Similar, not cited

Close in wording, no citation either way

  1. 2025How Far Are We from Optimal Reasoning Efficiency?
  2. 2025Learn to Reason Efficiently with Adaptive Length-based Reward Shaping
  3. 2025Efficient Reasoning via Reward Model
  4. 2025Don't Overthink It: A Survey of Efficient R1-style Large Reasoning Models
  5. 2026Step Potential Advantage Estimation: Harnessing Intermediate Confidence and Correctness for Efficient Mathematical Reasoning
  6. 2025Exploring and Exploiting the Inherent Efficiency within Large Reasoning Models for Self-Guided Efficiency Enhancement
  7. 2025ConciseRL: Conciseness-Guided Reinforcement Learning for Efficient Reasoning Models
  8. 2025Mitigating Overthinking through Reasoning Shaping