mlsanityData to 14 Oct 2026

Rollback-Free Stable Brick Structures Generation

arXiv 2605.06947 ↗First posted 7 May 2026cs.LGcited by 2

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Abstract (arXiv)

While autoregressive models have advanced 3D generation, creating physically stable brick structures remains a challenge due to the strict requirements of gravity and interconnectivity. Existing approaches rely on external physical simulators during inference to perform rejection sampling and brick-by-brick rollbacks, which severely bottlenecks efficiency. To address this, we propose a reinforcement learning paradigm that shifts physical validity enforcement from test-time correction to training-time policy optimization. By utilizing assembly-level rewards, the model optimizes for collision avoidance, global connectivity, structural interlocking, and shape conformity. This paradigm allows the model to internalize physical priors, enabling the first rollback-free generation of stable brick structures. Experimental results demonstrate that our approach achieves state-of-the-art generation quality while accelerating inference speed by orders of magnitude. Our code and dataset are available at https://github.com/miniHuiHui/STABLE. Our models are available at https://huggingface.co/miniHui/STABLE.

Key facts. Cited by 2 papers in the map (data through 14 Oct 2026). Builds on 24 of its 34 references that are in the map. First posted on arXiv 7 May 2026.

Builds on

24 of 34 references.

References · 24

  1. 2023GPT-4 Technical Reportcited by 18,396
  2. 2022Training language models to follow instructions with human feedbackcited by 15,971
  3. 2017Proximal Policy Optimization Algorithmscited by 15,215
  4. 2023LLaMA: Open and Efficient Foundation Language Modelscited by 14,132
  5. 2024DeepSeekMath: Pushing the Limits of Mathematical Reasoning in Open Language Modelscited by 9,379
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  9. 2016PointNet: Deep Learning on Point Sets for 3D Classification and Segmentationcited by 5,248
  10. 2015ShapeNet: An Information-Rich 3D Model Repositorycited by 2,897
  11. 2024Visual Autoregressive Modeling: Scalable Image Generation via Next-Scale Predictioncited by 1,023
  12. 2017Neural 3D Mesh Renderercited by 437
12 more
  1. 2016OctNet: Learning Deep 3D Representations at High Resolutionscited by 342
  2. 2020PolyGen: An Autoregressive Generative Model of 3D Meshescited by 269
  3. 20213DStyleNet: Creating 3D Shapes with Geometric and Texture Style Variationscited by 58
  4. 2021StyleMesh: Style Transfer for Indoor 3D Scene Reconstructionscited by 58
  5. 2023ShapeGPT: 3D Shape Generation with A Unified Multi-modal Language Modelcited by 39
  6. 2022Autoregressive 3D Shape Generation via Canonical Mappingcited by 37
  7. 2025Generating Physically Stable and Buildable Brick Structures from Textcited by 24
  8. 2021Brick-by-Brick: Combinatorial Construction with Deep Reinforcement Learningcited by 19
  9. 2022Planning Assembly Sequence with Graph Transformercited by 10
  10. 2024StableLego: Stability Analysis of Block Stacking Assemblycited by 9
  11. 2026BrickSim: A Physics-Based Simulator for Manipulating Interlocking Brick Assembliescited by 3
  12. 2024AssemblyComplete: 3D Combinatorial Construction with Deep Reinforcement Learningcited by 1

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Cited by year (2026 to 14 Oct)

Citing papers per year: 2026: 2.

2 papers.

Similar, not cited

Close in wording, no citation either way

  1. 2026RL-Lock: Reinforcement Learning for Generating Interlocking Assemblies
  2. 2026Learning to build covering structures with continuous adjustments
  3. 2026Learning to Build: Autonomous Robotic Assembly of Stable Structures Without Predefined Plans
  4. 2025Censored Sampling for Topology Design: Guiding Diffusion with Human Preferences
  5. 2026Sample-Efficient Post-Training for LEGO Spatial-Physics Reasoning
  6. 2023Aligning Optimization Trajectories with Diffusion Models for Constrained Design Generation
  7. 2024Physics-Aware Combinatorial Assembly Sequence Planning using Data-free Action Masking
  8. 2025DSO: Aligning 3D Generators with Simulation Feedback for Physical Soundness