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No cover The Physics of Multi-Turn Long-Horizon Planning: From Pre-training to Post-training via Single- and Multi-Teacher On-Policy Agentic Distillation

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The Physics of Multi-Turn Long-Horizon Planning: From Pre-training to Post-training via Single- and Multi-Teacher On-Policy Agentic Distillation

Tianyi Men

This study investigates multi-turn long-horizon planning across pre-training and post-training stages using a controlled environment. It finds that explicit world modeling enhances generalization, while suboptimal data impairs performance. On-policy distillation outperforms group relative policy optimization in low-quality settings. Multi-teacher distillation integrates capabilities by converging on shared planning patterns, enabling cross-environment generalization and continual learning while avoiding catastrophic forgetting.

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Key takeaways

  • Explicit world model construction via chain-of-thought state transition modeling yields stronger long-horizon generalization than direct action prediction.
  • Atomic skills alone are insufficient for compositional generalization, whereas a small amount of long-horizon data substantially improves planning ability.
  • Suboptimal trajectories severely impair performance because decision errors accumulate and amplify over long horizons.
  • On-policy distillation has a broader effective region than group relative policy optimization under low-quality pre-training data and long planning horizons.
  • Distilling unseen multi-path procedures from a teacher with different underlying knowledge may impair the student’s existing world modeling without fully establishing the new knowledge.
  • Multi-teacher on-policy distillation integrates capabilities by converging to shared planning-pattern distributions, enabling cross-environment generalization and supporting continual learning.

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