mlsanityData to 14 Oct 2026

Temperature as a Meta-Policy: Adaptive Temperature in LLM Reinforcement Learning

arXiv 2602.11779 ↗First posted 12 Feb 2026cs.LGcited by 8

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Abstract (arXiv)

Temperature is a crucial hyperparameter in large language models (LLMs), controlling the trade-off between exploration and exploitation during text generation. High temperatures encourage diverse but noisy outputs, while low temperatures produce focused outputs but may cause premature convergence. Yet static or heuristic temperature schedules fail to adapt to the dynamic demands of reinforcement learning (RL) throughout training, often limiting policy improvement. We propose Temperature Adaptive Meta Policy Optimization (TAMPO), a new framework that recasts temperature control as a learnable meta-policy. TAMPO operates through a hierarchical two-loop process. In the inner loop, the LLM policy is updated (e.g., using GRPO) with trajectories sampled at the temperature selected by the meta-policy. In the outer loop, meta-policy updates the distribution over candidate temperatures by rewarding those that maximize the likelihood of high-advantage trajectories. This trajectory-guided, reward-driven mechanism enables online adaptation without additional rollouts, directly aligning exploration with policy improvement. On five mathematical reasoning benchmarks, TAMPO outperforms baselines using fixed or heuristic temperatures, establishing temperature as an effective learnable meta-policy for adaptive exploration in LLM reinforcement learning. Accepted at ICLR 2026.

Key facts. Cited by 8 papers in the map (data through 14 Oct 2026). Builds on 18 of its 27 references that are in the map. First posted on arXiv 12 Feb 2026.

Builds on

18 of 27 references.

References · 18

  1. 2022Training language models to follow instructions with human feedbackcited by 15,971
  2. 2024DeepSeekMath: Pushing the Limits of Mathematical Reasoning in Open Language Modelscited by 9,379
  3. 2019The Curious Case of Neural Text Degenerationcited by 2,916
  4. 2025DAPO: An Open-Source LLM Reinforcement Learning System at Scalecited by 2,810
  5. 2019Fine-Tuning Language Models from Human Preferencescited by 2,150
  6. 2024Qwen2 Technical Reportcited by 2,120
  7. 2016The Option-Critic Architecturecited by 448
  8. 2025Towards Reasoning Era: A Survey of Long Chain-of-Thought for Reasoning Large Language Modelscited by 384
  9. 2016From Softmax to Sparsemax: A Sparse Model of Attention and Multi-Label Classificationcited by 341
  10. 2017FeUdal Networks for Hierarchical Reinforcement Learningcited by 337
  11. 2018Meta-Gradient Reinforcement Learningcited by 159
  12. 2017Meta Learning Shared Hierarchiescited by 93
6 more
  1. 2025AceReason-Nemotron 1.1: Advancing Math and Code Reasoning through SFT and RL Synergycited by 77
  2. 2025Reinforcement Learning for Reasoning in Small LLMs: What Works and What Doesn'tcited by 74
  3. 2025On Entropy Control in LLM-RL Algorithmscited by 40
  4. 2025Optimizing Temperature for Language Models with Multi-Sample Inferencecited by 33
  5. 2020Meta-SAC: Auto-tune the Entropy Temperature of Soft Actor-Critic via Metagradientcited by 14
  6. 2024Entropy annealing for policy mirror descent in continuous time and spacecited by 12

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Cited by year (2026 to 14 Oct)

Citing papers per year: 2026: 8.

8 papers.

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  1. 2025Exploring Multi-Temperature Strategies for Token- and Rollout-Level Control in RLVR
  2. 2025Enhancing Efficiency and Exploration in Reinforcement Learning for LLMs
  3. 2025LANPO: Bootstrapping Language and Numerical Feedback for Reinforcement Learning in LLMs
  4. 2025On the Role of Temperature Sampling in Test-Time Scaling
  5. 2025BAPO: Stabilizing Off-Policy Reinforcement Learning for LLMs via Balanced Policy Optimization with Adaptive Clipping
  6. 2026AGPO: Adaptive Group Policy Optimization with Dual Statistical Feedback
  7. 2026Adapt to Thrive! Adaptive Power-Mean Policy Optimization for Improved LLM Reasoning
  8. 2026Entropy-Preserving Reinforcement Learning