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 8, 2026Understanding Jev, the new model everyone is talking about
  5. Oct 8, 2026DiffusionART: Efficient, Stable and Scalable Reinforcement of Diffusion Models
  6. Oct 8, 2026SpatialOPSD: Self-Distilling Spatial Intelligence from Verified Coding Agent Traces

Related