Long-Horizon RL Needs Muon

Kai Ruan, Jinghao Lin, Tao Chen, Ziqi Zhou, Qianshan Wei +1 more
10/14/2026
cs.LGcs.AI

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Abstract

Long-horizon agents must coordinate reasoning, tool use, and environment feedback over extended interactions. Learning from sparse outcome rewards requires weighting trajectories of different lengths and updating the policy while rollouts are still being collected. We examine a single-rollout asynchronous recipe combining Muon, token-averaged loss, truncated importance sampling, and auxiliary length and tool-error penalties. Single-rollout sampling allows asynchronous learning without waiting for multiple trajectories for the same issue. We study optimizer choices and recipe components for repository-level issue resolution across two model families. The evaluated training runs show higher training success with the full recipe than with the baselines.

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Cite this paper

@article{ruan2026longhorizon,
  title  = {Long-Horizon RL Needs Muon},
  author = {Kai Ruan and Jinghao Lin and Tao Chen and Ziqi Zhou and Qianshan Wei and Zihe Huang},
  year   = {2026},
  eprint = {2610.20256},
  archivePrefix = {arXiv},
  url    = {http://arxiv.org/abs/2610.20256v1}
}

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