ResearchResearch paperReinforcement Learning1 source · Oct 9, 2026

Trajectory-Aware Policy Optimization: Closing the State Distribution Gap in Long-Horizon LLM RL

To close the state distribution gap, we propose Trajectory-Aware Policy Optimization (TAPO), a principled framework that theoretically derives the state-distribution correction from the off-policy policy gradient and incorporates it into the RL objective.

Key points

  • Reinforcement learning (RL) has become a dominant paradigm for enhancing LLMs' reasoning capabilities.
  • Yet long-horizon autoregressive rollouts introduce a fundamental limitation: local policy mismatch can compound into severe state distribution shift over trajectories.
  • Existing LLM RL methods, such as GRPO and GSPO, control policy mismatch at the token or sequence level, but overlook this trajectory-induced shift, causing training instability and eventual collapse as the horizon grows.
  • Extensive experiments demonstrate that TAPO significantly surpasses existing LLM RL algorithms across eight competition-level benchmarks, achieving up to 48% and 12% improvement over GRPO on mathematical reasoning and algorithmic coding, with substantially enhanced training stability.

Sources (1)

  • [1]Trajectory-Aware Policy Optimization: Closing the State Distribution Gap in Long-Horizon LLM RL
    arXiv (AI, ML, NLP, CV, robotics, multi-agent) · Oct 9, 05:22 AM
    To close the state distribution gap, we propose Trajectory-Aware Policy Optimization (TAPO), a principled framework that theoretically derives the state-distribution correction from the off-policy policy gradient and incorporates it into the RL objective.
    Reinforcement learning (RL) has become a dominant paradigm for enhancing LLMs' reasoning capabilities.

Extractive summary: sentences quoted from the sources.

Before this

  1. Oct 9, 2026Generalized Proximal Policy Optimization: Unifying LLM RL Algorithms from the Perspective of Divergence
  2. Oct 9, 2026Qwen/Qwen-Image-2.1-Turbo
  3. Oct 9, 2026Collaborative Theory of Mind: Learning to Self-Revise by Anticipating User Responses
  4. Oct 9, 2026The Thinking Leakage in Reinforcement Learning for LLMs
  5. Oct 8, 2026Understanding Jev, the new model everyone is talking about
  6. Oct 8, 2026DiffusionART: Efficient, Stable and Scalable Reinforcement of Diffusion Models

Related