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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

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arXiv

arxiv.org/abs/2607.24720v1

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Plain-Language Brief

The paper focuses on improving the multi-turn long-horizon planning for foundation model agents. The authors introduce a controlled environment to study the acquisition, shaping, and integration of planning abilities in three stages: pre-training, post-training, and integration. In pre-training, they discuss the impact of data format, distribution, and quality on long-horizon planning. They also find that suboptimal trajectories can severely impair performance. During post-training, they identify regions where general planning patterns are effective or unsupported using mutual information. They also compare GRPO and OPD in terms of their effectiveness under different settings. In the final stage, they introduce multi-teacher on-policy distillation (MOPD) for integrating planning abilities across environments.

What the Document Says

  • The paper discusses improving multi-turn long-horizon planning for foundation model agents.
  • A controlled environment is introduced to study the acquisition, shaping, and integration of planning abilities.
  • In pre-training, they investigate data format, distribution, and quality impact on long-horizon planning.
  • Suboptimal trajectories can severely impair performance in long-horizon planning.
  • During post-training, mutual information is used to distinguish general planning patterns from task-specific knowledge.
  • GRPO and OPD are compared in terms of their effectiveness under different settings.
  • MOPD is introduced for integrating planning abilities across environments.

Key Concepts Mentioned

  • Multi-turn long-horizon planning
  • Foundation model agents
  • Pre-training
  • Post-training
  • GRPO
  • OPD
  • MOPD

Claims Made by the Document

  • Suboptimal trajectories severely impair performance in long-horizon planning.
  • Explicit world model construction yields stronger long-horizon generalization.
  • Atomic skills alone are insufficient for compositional generalization.
  • A little long-horizon data works for compositional generalization.
  • OPD has a broader effective region than GRPO under low-quality and long-horizon settings.
  • MOPD integrates capabilities by converging to shared planning patterns.

Evidence Used

  • The text provides findings from experiments and simulations conducted in the controlled environment

Methods / Approach

  • Explicit world model construction through CoT state transition modeling
  • Mutual information
  • Multi-teacher on-policy distillation (MOPD)

Limitations Stated by the Authors

  • The paper does not provide specific examples or case studies to support their claims.

Limitations Noted by the Agent

Agent interpretation — not from the source.

  • The text lacks information about the specific models and techniques used for pre-training, post-training, and MOPD.
  • The text does not specify the quality of the data used in the experiments.

Open Questions

  • What are the specific techniques used for pre-training, post-training, and MOPD?
  • What is the quality of the data used in the experiments?

Notes for Future Q&A

May include interpretation. Labeled where it does.

  • The paper focuses on multi-turn long-horizon planning for foundation model agents. It introduces a controlled environment to study the acquisition, shaping, and integration of planning abilities.
  • Pre-training involves studying data format, distribution, and quality impact on long-horizon planning. Suboptimal trajectories are found to severely impair performance.

Raw Abstract / Excerpt

Multi-turn long-horizon planning is critical for foundation model agents, yet how to fundamentally improve it remains unclear. Existing models are trained on uncontrollable and opaque Internet data, making it difficult to identify how planning ability is acquired, shaped, and integrated. To address this challenge, we introduce a unified and controlled multi-turn environment that enables precise control. It allows systematically study long-horizon planning across three stages. (1) Planning ability acquisition during pre-training. We study data format, distribution, and quality. Explicit world model construction through CoT state transition modeling yields stronger long-horizon generalization. Atomic skills alone are insufficient for compositional generalization, whereas a litte long-horizon data works. Moreover, suboptimal trajectories severely impair performance because errors amplify over long horizons. (2) Planning ability shaping via GRPO and OPD post-training. Through mutual information, we distinguish general planning patterns from task-specific planning knowledge. For planning patterns, we identify three application regions of post-training: unnecessary, effective, and unsupported. OPD has a broader effective region than GRPO under low-quality and long-horizon settings, as it provides more consistent update directions. For planning knowledge, distilling unseen procedures from a teacher with different knowledge may impair student's prior world modeling without fully establishing new knowledge. (3) Planning ability integration through MOPD post-training. We show that multi-teacher on-policy distillation (MOPD) integrates capabilities by converging to shared planning-pattern across environments. Compatible patterns enable cross-environment generalization, partially shared patterns support continual learning, while completely conflicting patterns cause severe interference.