An Empirical Study on Eliciting and Improving R1-like Reasoning Models
On the map: LLM reasoning → Reasoning benchmarks and evaluation
Abstract (arXiv)
In this report, we present the third technical report on the development of slow-thinking models as part of the STILL project. As the technical pathway becomes clearer, scaling RL training has become a central technique for implementing such reasoning models. We systematically experiment with and document the effects of various factors influencing RL training, conducting experiments on both base models and fine-tuned models. Specifically, we demonstrate that our RL training approach consistently improves the Qwen2.5-32B base models, enhancing both response length and test accuracy. Furthermore, we show that even when a model like DeepSeek-R1-Distill-Qwen-1.5B has already achieved a high performance level, it can be further refined through RL training, reaching an accuracy of 39.33% on AIME 2024. Beyond RL training, we also explore the use of tool manipulation, finding that it significantly boosts the reasoning performance of large reasoning models. This approach achieves a remarkable accuracy of 86.67% with greedy search on AIME 2024, underscoring its effectiveness in enhancing model capabilities. We release our resources at the STILL project website: https://github.com/RUCAIBox/Slow_Thinking_with_LLMs.
Key facts. Cited by 78 papers in the map (data through 7 Oct 2026). Placed in Reasoning benchmarks and evaluation, one of 17 directions in LLM reasoning. Builds on 15 of its 22 references that are in the map. First posted on arXiv 6 Mar 2025.
Builds on
15 of 22 references.
References · 15
- 2022Training language models to follow instructions with human feedbackcited by 15,712
- 2021Measuring Mathematical Problem Solving With the MATH Datasetcited by 5,203
- 2024Qwen2.5 Technical Reportcited by 4,713
- 2020Learning to summarize from human feedbackcited by 2,562
- 2023A Survey of Large Language Modelscited by 2,537
- 2024HybridFlow: A Flexible and Efficient RLHF Frameworkcited by 1,980
- 2025Kimi k1.5: Scaling Reinforcement Learning with LLMscited by 1,193
- 2024Do NOT Think That Much for 2+3=? On the Overthinking of o1-Like LLMscited by 564
- 2024Omni-MATH: A Universal Olympiad Level Mathematic Benchmark For Large Language Modelscited by 277
- 2025Training Language Models to Reason Efficientlycited by 242
- 2024Imitate, Explore, and Self-Improve: A Reproduction Report on Slow-thinking Reasoning Systemscited by 162
- 2025T1: Advancing Language Model Reasoning through Reinforcement Learning and Inference Scalingcited by 77
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Citing papers per year: 2025: 61; 2026: 17.
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- 2025DAPO: An Open-Source LLM Reinforcement Learning System at Scalecited by 2,678
- 2025SimpleRL-Zoo: Investigating and Taming Zero Reinforcement Learning for Open Base Models in the Wildcited by 505
- 2025ReTool: Reinforcement Learning for Strategic Tool Use in LLMscited by 377
- 2025R1-Searcher: Incentivizing the Search Capability in LLMs via Reinforcement Learningcited by 322
- 2025WebThinker: Empowering Large Reasoning Models with Deep Research Capabilitycited by 320
- 2025Reasoning with Exploration: An Entropy Perspectivecited by 277
- 2025DeepMath-103K: A Large-Scale, Challenging, Decontaminated, and Verifiable Mathematical Dataset for Advancing Reasoningcited by 261
- 2025SFT or RL? An Early Investigation into Training R1-Like Reasoning Large Vision-Language Modelscited by 209
- 2025A Survey of Reinforcement Learning for Large Reasoning Modelscited by 175
- 2025Pass@k Training for Adaptively Balancing Exploration and Exploitation of Large Reasoning Modelscited by 134
- 2025OpenVLThinker: Complex Vision-Language Reasoning via Iterative SFT-RL Cyclescited by 122
- 2025On the Generalization of SFT: A Reinforcement Learning Perspective with Reward Rectificationcited by 121
38 more
- 2025VerlTool: Towards Holistic Agentic Reinforcement Learning with Tool Usecited by 92
- 2025Efficient Reinforcement Finetuning via Adaptive Curriculum Learningcited by 88
- 2025Not All Rollouts are Useful: Down-Sampling Rollouts in LLM Reinforcement Learningcited by 84
- 2025Segment Policy Optimization: Effective Segment-Level Credit Assignment in RL for Large Language Modelscited by 75
- 2025GUI-G1: Understanding R1-Zero-Like Training for Visual Grounding in GUI Agentscited by 73
- 2025SRPO: A Cross-Domain Implementation of Large-Scale Reinforcement Learning on LLMcited by 67
- 2025Challenging the Boundaries of Reasoning: An Olympiad-Level Math Benchmark for Large Language Modelscited by 65
- 2025SelfBudgeter: Adaptive Token Allocation for Efficient LLM Reasoningcited by 47
- 2025Consistent Paths Lead to Truth: Self-Rewarding Reinforcement Learning for LLM Reasoningcited by 43
- 2025Prompt Curriculum Learning for Efficient LLM Post-Trainingcited by 40
- 2025Long-Short Chain-of-Thought Mixture Supervised Fine-Tuning Eliciting Efficient Reasoning in Large Language Modelscited by 37
- 2025Accelerating RL for LLM Reasoning with Optimal Advantage Regressioncited by 23
- 2025Towards Effective Code-Integrated Reasoningcited by 23
- 2025Climbing the Ladder of Reasoning: What LLMs Can-and Still Can't-Solve after SFT?cited by 21
- 2025Decomposing the Entropy-Performance Exchange: The Missing Keys to Unlocking Effective Reinforcement Learningcited by 21
- 2025DiagnosisArena: Benchmarking Diagnostic Reasoning for Large Language Modelscited by 19
- 2025A Survey of Slow Thinking-based Reasoning LLMs using Reinforced Learning and Inference-time Scaling Lawcited by 18
- 2025Reasoning Models Hallucinate More: Factuality-Aware Reinforcement Learning for Large Reasoning Modelscited by 18
- 2025AgentMath: Empowering Mathematical Reasoning for Large Language Models via Tool-Augmented Agentcited by 17
- 2025Learning from Peers in Reasoning Modelscited by 16
- 2025DisCO: Reinforcing Large Reasoning Models with Discriminative Constrained Optimizationcited by 16
- 2025PRIME: Large Language Model Personalization with Cognitive Dual-Memory and Personalized Thought Processcited by 16
- 2025CoRT: Code-integrated Reasoning within Thinkingcited by 15
- 2025Generative AI Act II: Test Time Scaling Drives Cognition Engineeringcited by 14
- 2025EEPO: Exploration-Enhanced Policy Optimization via Sample-Then-Forgetcited by 14
- 2025How Much Backtracking is Enough? Exploring the Interplay of SFT and RL in Enhancing LLM Reasoningcited by 13
- 2025ICPC-Eval: Probing the Frontiers of LLM Reasoning with Competitive Programming Contestscited by 12
- 2025Slow Thinking for Sequential Recommendationcited by 11
- 2025Surrogate Signals from Format and Length: Reinforcement Learning for Solving Mathematical Problems without Ground Truth Answerscited by 11
- 2025Mol-R1: Towards Explicit Long-CoT Reasoning in Molecule Discoverycited by 11
- 2025Position: The Hidden Costs and Measurement Gaps of Reinforcement Learning with Verifiable Rewardscited by 11
- 2025Through the Valley: Path to Effective Long CoT Training for Small Language Modelscited by 10
- 2025Revisiting Entropy Regularization: Adaptive Coefficient Unlocks Its Potential for LLM Reinforcement Learningcited by 10
- 2025Shape of Thought: When Distribution Matters More than Correctness in Reasoning Taskscited by 8
- 2025A Simple "Motivation" Can Enhance Reinforcement Finetuning of Large Reasoning Modelscited by 7
- 2025Cooper: Co-Optimizing Policy and Reward Models in Reinforcement Learning for Large Language Modelscited by 5
- 2025Teaching Language Models to Reason with Toolscited by 5
- 2025Think in Parallel, Answer as One: Logit Averaging for Open-Ended Reasoningcited by 5
50 most cited of 78 All 78 (JSON)
- 2026SFT-as-Context Mitigates Forgetting in Supervised Fine-Tuning8 Oct 2026
- 2026ClawGym II: Exploring Black-Box RL on Agent Harness17 Aug 2026
- 2026LaRec: Unleashing LLM-based Latent Reasoning for Generative Recommendation27 Jul 2026
- 2026MADA-RL: Multi-Agent Debate-Aware Reinforcement Learning for Parameter-Efficient Reasoning in Compact Models20 Jul 2026
- 2026LLMZero: Discovering Adaptive Training Strategies for RL Post-Training via LLM Agents16 Jun 2026
- 2026GUI-AC: Enhancing Continual Learning in GUI Agents9 Jun 2026
- 2026PAEC: Position-Aware Entropy Calibration for LLM Reasoning in RLVR7 Jun 2026
- 2026RLVR Datasets and Where to Find Them: Tracing Data Lineage for Better Training Data26 May 2026
- 2026SAGE: Shaping Anchors for Guided Exploration in RLVR of LLMs15 May 2026
- 2026PruneTIR: Inference-Time Tool Call Pruning for Effective yet Efficient Tool-Integrated Reasoning11 May 2026
- 2026How You Begin is How You Reason: Driving Exploration in RLVR via Prefix-Tuned Priors9 May 2026
- 2026GFT: From Imitation to Reward Fine-Tuning with Unbiased Group Advantages and Dynamic Coefficient Rectification15 Apr 2026
38 more
- 2026Low-rank Optimization Trajectories Modeling for LLM RLVR Acceleration13 Apr 2026
- 2026TimelineReasoner: Advancing Timeline Summarization with Large Reasoning Models3 Apr 2026
- 2026BeamPERL: Parameter-Efficient RL with Verifiable Rewards Specializes Compact LLMs for Structured Beam Mechanics Reasoning4 Mar 2026
- 2026ARTIS: Agentic Risk-Aware Test-Time Scaling via Iterative Simulation2 Feb 2026
- 2026TACLer: Tailored Curriculum Reinforcement Learning for Efficient Reasoning29 Jan 2026
- 2025Shape of Thought: When Distribution Matters More than Correctness in Reasoning Tasks24 Dec 2025
- 2025AgentMath: Empowering Mathematical Reasoning for Large Language Models via Tool-Augmented Agent23 Dec 2025
- 2025Beyond Fast and Slow: Cognitive-Inspired Elastic Reasoning for Large Language Models17 Dec 2025
- 2025Think in Parallel, Answer as One: Logit Averaging for Open-Ended Reasoning2 Dec 2025
- 2025Rectifying LLM Thought from Lens of Optimization1 Dec 2025
- 2025Teaching Language Models to Reason with Tools23 Oct 2025
- 2025Revisiting Entropy Regularization: Adaptive Coefficient Unlocks Its Potential for LLM Reinforcement Learning13 Oct 2025
- 2025EEPO: Exploration-Enhanced Policy Optimization via Sample-Then-Forget7 Oct 2025
- 2025Prompt Curriculum Learning for Efficient LLM Post-Training1 Oct 2025
- 2025Position: The Hidden Costs and Measurement Gaps of Reinforcement Learning with Verifiable Rewards26 Sep 2025
- 2025HAMMER: Hamiltonian Curiosity Augmented Large Language Model Reinforcement25 Sep 2025
- 2025ToolSample: Dual Dynamic Sampling Methods with Curriculum Learning for RL-based Tool Learning18 Sep 2025
- 2025A Survey of Reinforcement Learning for Large Reasoning Models10 Sep 2025
- 2025Sticker-TTS: Learn to Utilize Historical Experience with a Sticker-driven Test-Time Scaling Framework5 Sep 2025
- 2025Why Does Reasoning Length Converge? Unveiling the Underfitting-Overfitting Trade-off in Chain-of-Thought4 Sep 2025
- 2025VerlTool: Towards Holistic Agentic Reinforcement Learning with Tool Use1 Sep 2025
- 2025Pass@k Training for Adaptively Balancing Exploration and Exploitation of Large Reasoning Models14 Aug 2025
- 2025Mol-R1: Towards Explicit Long-CoT Reasoning in Molecule Discovery11 Aug 2025
- 2025On the Generalization of SFT: A Reinforcement Learning Perspective with Reward Rectification7 Aug 2025
- 2025Cooper: Co-Optimizing Policy and Reward Models in Reinforcement Learning for Large Language Models7 Aug 2025
- 2025Decomposing the Entropy-Performance Exchange: The Missing Keys to Unlocking Effective Reinforcement Learning4 Aug 2025
- 2025PRIME: Large Language Model Personalization with Cognitive Dual-Memory and Personalized Thought Process7 Jul 2025
- 2025Act-With-Think: Chunk Auto-Regressive Modeling for Generative Recommendation30 Jun 2025
- 2025A Simple "Motivation" Can Enhance Reinforcement Finetuning of Large Reasoning Models23 Jun 2025
- 2025Reasoning with Exploration: An Entropy Perspective17 Jun 2025
- 2025CoRT: Code-integrated Reasoning within Thinking11 Jun 2025
- 2025Consistent Paths Lead to Truth: Self-Rewarding Reinforcement Learning for LLM Reasoning10 Jun 2025
- 2025Through the Valley: Path to Effective Long CoT Training for Small Language Models9 Jun 2025
- 2025ICPC-Eval: Probing the Frontiers of LLM Reasoning with Competitive Programming Contests5 Jun 2025
- 2025Reasoning Models Hallucinate More: Factuality-Aware Reinforcement Learning for Large Reasoning Models30 May 2025
- 2025Towards Effective Code-Integrated Reasoning30 May 2025
- 2025How Much Backtracking is Enough? Exploring the Interplay of SFT and RL in Enhancing LLM Reasoning30 May 2025
- 2025Segment Policy Optimization: Effective Segment-Level Credit Assignment in RL for Large Language Models29 May 2025
50 newest of 78 All 78 (JSON)
- 2025DAPO: An Open-Source LLM Reinforcement Learning System at Scalecited by 2,678
- 2025SimpleRL-Zoo: Investigating and Taming Zero Reinforcement Learning for Open Base Models in the Wildcited by 505
- 2025ReTool: Reinforcement Learning for Strategic Tool Use in LLMscited by 377
- 2025R1-Searcher: Incentivizing the Search Capability in LLMs via Reinforcement Learningcited by 322
- 2025WebThinker: Empowering Large Reasoning Models with Deep Research Capabilitycited by 320
- 2025Reasoning with Exploration: An Entropy Perspectivecited by 277
- 2025DeepMath-103K: A Large-Scale, Challenging, Decontaminated, and Verifiable Mathematical Dataset for Advancing Reasoningcited by 261
- 2025SFT or RL? An Early Investigation into Training R1-Like Reasoning Large Vision-Language Modelscited by 209
- 2025A Survey of Reinforcement Learning for Large Reasoning Modelscited by 175
- 2025Pass@k Training for Adaptively Balancing Exploration and Exploitation of Large Reasoning Modelscited by 134
- 2025OpenVLThinker: Complex Vision-Language Reasoning via Iterative SFT-RL Cyclescited by 122
- 2025VerlTool: Towards Holistic Agentic Reinforcement Learning with Tool Usecited by 92
12 most cited of 63 All 63 (JSON)
- 2026LaRec: Unleashing LLM-based Latent Reasoning for Generative Recommendation27 Jul 2026
- 2026MADA-RL: Multi-Agent Debate-Aware Reinforcement Learning for Parameter-Efficient Reasoning in Compact Models20 Jul 2026
- 2026PAEC: Position-Aware Entropy Calibration for LLM Reasoning in RLVR7 Jun 2026
- 2026SAGE: Shaping Anchors for Guided Exploration in RLVR of LLMs15 May 2026
- 2026PruneTIR: Inference-Time Tool Call Pruning for Effective yet Efficient Tool-Integrated Reasoning11 May 2026
- 2026How You Begin is How You Reason: Driving Exploration in RLVR via Prefix-Tuned Priors9 May 2026
- 2026TimelineReasoner: Advancing Timeline Summarization with Large Reasoning Models3 Apr 2026
- 2026BeamPERL: Parameter-Efficient RL with Verifiable Rewards Specializes Compact LLMs for Structured Beam Mechanics Reasoning4 Mar 2026
- 2026ARTIS: Agentic Risk-Aware Test-Time Scaling via Iterative Simulation2 Feb 2026
- 2026TACLer: Tailored Curriculum Reinforcement Learning for Efficient Reasoning29 Jan 2026
- 2025Shape of Thought: When Distribution Matters More than Correctness in Reasoning Tasks24 Dec 2025
- 2025AgentMath: Empowering Mathematical Reasoning for Large Language Models via Tool-Augmented Agent23 Dec 2025
12 newest of 63 All 63 (JSON)
- 2025On the Generalization of SFT: A Reinforcement Learning Perspective with Reward Rectificationcited by 121
- 2025Prompt Curriculum Learning for Efficient LLM Post-Trainingcited by 40
- 2025Towards Effective Code-Integrated Reasoningcited by 23
- 2025EEPO: Exploration-Enhanced Policy Optimization via Sample-Then-Forgetcited by 14
- 2025Surrogate Signals from Format and Length: Reinforcement Learning for Solving Mathematical Problems without Ground Truth Answerscited by 11
- 2025Position: The Hidden Costs and Measurement Gaps of Reinforcement Learning with Verifiable Rewardscited by 11
- 2026Low-rank Optimization Trajectories Modeling for LLM RLVR Accelerationcited by 2
- 2026ClawGym II: Exploring Black-Box RL on Agent Harnesscited by 2
- 2026GFT: From Imitation to Reward Fine-Tuning with Unbiased Group Advantages and Dynamic Coefficient Rectificationcited by 1
- 2026RLVR Datasets and Where to Find Them: Tracing Data Lineage for Better Training Datacited by 1
- 2025HAMMER: Hamiltonian Curiosity Augmented Large Language Model Reinforcementcited by 0
- 2026SFT-as-Context Mitigates Forgetting in Supervised Fine-Tuningcited by 0
- 2026SFT-as-Context Mitigates Forgetting in Supervised Fine-Tuning8 Oct 2026
- 2026ClawGym II: Exploring Black-Box RL on Agent Harness17 Aug 2026
- 2026RLVR Datasets and Where to Find Them: Tracing Data Lineage for Better Training Data26 May 2026
- 2026GFT: From Imitation to Reward Fine-Tuning with Unbiased Group Advantages and Dynamic Coefficient Rectification15 Apr 2026
- 2026Low-rank Optimization Trajectories Modeling for LLM RLVR Acceleration13 Apr 2026
- 2025EEPO: Exploration-Enhanced Policy Optimization via Sample-Then-Forget7 Oct 2025
- 2025Prompt Curriculum Learning for Efficient LLM Post-Training1 Oct 2025
- 2025Position: The Hidden Costs and Measurement Gaps of Reinforcement Learning with Verifiable Rewards26 Sep 2025
- 2025HAMMER: Hamiltonian Curiosity Augmented Large Language Model Reinforcement25 Sep 2025
- 2025On the Generalization of SFT: A Reinforcement Learning Perspective with Reward Rectification7 Aug 2025
- 2025Towards Effective Code-Integrated Reasoning30 May 2025
- 2025Surrogate Signals from Format and Length: Reinforcement Learning for Solving Mathematical Problems without Ground Truth Answers26 May 2025
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