mlsanityData to 7 Oct 2026

LACONIC: Length-Aware Constrained Reinforcement Learning for LLM

arXiv 2602.14468 ↗First posted 16 Feb 2026cs.LGcited by 3

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Abstract (arXiv)

Reinforcement learning (RL) has enhanced the capabilities of large language models (LLMs) through reward-driven training. Nevertheless, this process can introduce excessively long responses, inflating inference latency and computational overhead. Prior length-control approaches typically rely on fixed heuristic reward shaping, which can misalign with the task objective and require brittle tuning. In this work, we propose LACONIC, a reinforcement learning method that enforces a target token budget during training. Specifically, we update policy models using an augmented objective that combines the task reward with a length-based cost. To balance brevity and task performance, the cost scale is adaptively adjusted throughout training. This yields robust length control while preserving task reward. We provide a theoretical guarantee that support the method. Across mathematical reasoning models and datasets, LACONIC preserves or improves pass@1 while reducing output length by over 50%. It maintains out-of-domain performance on general knowledge and multilingual benchmarks with 44% fewer tokens. Moreover, LACONIC integrates into standard RL-tuning with no inference changes and minimal deployment overhead.

Key facts. Cited by 3 papers in the map (data through 7 Oct 2026). Builds on 31 of its 41 references that are in the map. First posted on arXiv 16 Feb 2026.

Builds on

31 of 41 references.

References · 31

  1. 2017Proximal Policy Optimization Algorithmscited by 14,441
  2. 2024DeepSeekMath: Pushing the Limits of Mathematical Reasoning in Open Language Modelscited by 8,851
  3. 2021Measuring Mathematical Problem Solving With the MATH Datasetcited by 5,203
  4. 2024Qwen2.5 Technical Reportcited by 4,713
  5. 2025Gemini 2.5: Pushing the Frontier with Advanced Reasoning, Multimodality, Long Context, and Next Generation Agentic Capabilitiescited by 3,655
  6. 2025DAPO: An Open-Source LLM Reinforcement Learning System at Scalecited by 2,678
  7. 2025Search-R1: Training LLMs to Reason and Leverage Search Engines with Reinforcement Learningcited by 1,371
  8. 2022Solving Quantitative Reasoning Problems with Language Modelscited by 1,359
  9. 2025Understanding R1-Zero-Like Training: A Critical Perspectivecited by 1,276
  10. 2017Constrained Policy Optimizationcited by 928
  11. 2024Do NOT Think That Much for 2+3=? On the Overthinking of o1-Like LLMscited by 564
  12. 2025Search-o1: Agentic Search-Enhanced Large Reasoning Modelscited by 423
19 more
  1. 2018Reward Constrained Policy Optimizationcited by 397
  2. 2025L1: Controlling How Long A Reasoning Model Thinks With Reinforcement Learningcited by 381
  3. 2025ReTool: Reinforcement Learning for Strategic Tool Use in LLMscited by 377
  4. 2025WebThinker: Empowering Large Reasoning Models with Deep Research Capabilitycited by 320
  5. 2020Responsive Safety in Reinforcement Learning by PID Lagrangian Methodscited by 302
  6. 2025Training Language Models to Reason Efficientlycited by 242
  7. 2024Tool Learning with Large Language Models: A Surveycited by 221
  8. 2025ThinkPrune: Pruning Long Chain-of-Thought of LLMs via Reinforcement Learningcited by 187
  9. 2024Imitate, Explore, and Self-Improve: A Reproduction Report on Slow-thinking Reasoning Systemscited by 162
  10. 2025Agentic Reasoning: A Streamlined Framework for Enhancing LLM Reasoning with Agentic Toolscited by 106
  11. 2024Q*: Improving Multi-step Reasoning for LLMs with Deliberative Planningcited by 95
  12. 2025Sample More to Think Less: Group Filtered Policy Optimization for Concise Reasoningcited by 75
  13. 2025SRPO: A Cross-Domain Implementation of Large-Scale Reinforcement Learning on LLMcited by 67
  14. 2024Tool Learning in the Wild: Empowering Language Models as Automatic Tool Agentscited by 56
  15. 2025Shorten After You're Right: Lazy Length Penalties for Reasoning RLcited by 25
  16. 2025Incentivizing Dual Process Thinking for Efficient Large Language Model Reasoningcited by 21
  17. 2025HAPO: Training Language Models to Reason Concisely via History-Aware Policy Optimizationcited by 18
  18. 2025Alignment of large language models with constrained learningcited by 8
  19. 2025Curriculum Design for Trajectory-Constrained Agent: Compressing Chain-of-Thought Tokens in LLMscited by 2

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Cited by year (2026 to 7 Oct)

Citing papers per year: 2026: 3.

3 papers.

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  1. 2025AALC: Large Language Model Efficient Reasoning via Adaptive Accuracy-Length Control
  2. 2026On the Optimal Reasoning Length for RL-Trained Language Models
  3. 2025Thinking Fast and Right: Balancing Accuracy and Reasoning Length with Adaptive Rewards
  4. 2025Not All Tokens Matter: Towards Efficient LLM Reasoning via Token Significance in Reinforcement Learning
  5. 2026The Art of Efficient Reasoning: Data, Reward, and Optimization
  6. 2025LSPO: Length-aware Dynamic Sampling for Policy Optimization in LLM Reasoning
  7. 2026Length-Unbiased Sequence Policy Optimization: Revealing and Controlling Response Length Variation in RLVR
  8. 2025Fast on the Easy, Deep on the Hard: Efficient Reasoning via Powered Length Penalty