2.5-D Decomposition for LLM-Based Spatial Construction

📰 ArXiv cs.AI

Learn to improve LLM-based spatial construction using 2.5-D decomposition, reducing systematic coordinate errors in 3D block placements

advanced Published 11 May 2026
Action Steps
  1. Apply 2.5-D decomposition to LLM-based spatial construction tasks to reduce errors
  2. Use a neuro-symbolic pipeline to plan in the 2D horizontal plane
  3. Implement a deterministic executor to compute vertical placements from column occupancy
  4. Test the pipeline with various natural-language instructions to evaluate its reliability
  5. Compare the results with traditional 3D placement methods to assess the improvement
Who Needs to Know This

Researchers and engineers working on autonomous systems and LLM-based spatial construction can benefit from this technique to improve the reliability of their systems

Key Insight

💡 2.5-D decomposition can significantly improve the reliability of LLM-based spatial construction by separating 2D planning from vertical placement computation

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💡 Improve LLM-based spatial construction with 2.5-D decomposition! Reduce systematic coordinate errors in 3D block placements

Key Takeaways

Learn to improve LLM-based spatial construction using 2.5-D decomposition, reducing systematic coordinate errors in 3D block placements

Full Article

Title: 2.5-D Decomposition for LLM-Based Spatial Construction

Abstract:
arXiv:2605.07066v1 Announce Type: new Abstract: Autonomous systems that build structures from natural-language instructions need reliable spatial reasoning, yet large language models (LLMs) make systematic coordinate errors when generating three-dimensional block placements. We present a neuro-symbolic pipeline based on \emph{2.5-D decomposition}: the LLM plans in the two-dimensional horizontal plane while a deterministic executor computes all vertical placement from column occupancy, eliminatin
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