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.
ProofPaper ↗
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 RLarXiv (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.
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