The Depth Ceiling: On the Limits of Large Language Models in Discovering Latent Planning
arXiv cs.LG / 4/9/2026
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Key Points
- The paper investigates whether large language models can discover multi-step latent planning strategies and execute them in a single forward pass without intermediate-step supervision.
- Experiments on controlled graph path-finding tasks show a clear depth limit that is not solved by scaling: tiny transformers learn up to three latent steps, fine-tuned GPT-4o and Qwen3-32B reach five, and GPT-5.4 reaches seven via few-shot prompting.
- While models can learn latent planning depth up to five during training, the learned strategy can generalize to execute up to eight latent steps at test time.
- The findings suggest a dissociation between discovering a latent planning strategy from final-answer supervision and successfully executing it at greater latent depths once discovered, implying constraints relevant to chain-of-thought monitoring assumptions.
- The authors argue that if similar limitations generalize, multi-step coordinated latent planning may require explicit instruction or externalization, supporting the usefulness (and limitations) of CoT monitoring.
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