Building LEGO Using Deep Generative Models of Graphs
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Abstract (arXiv)
Generative models are now used to create a variety of high-quality digital artifacts. Yet their use in designing physical objects has received far less attention. In this paper, we advocate for the construction toy, LEGO, as a platform for developing generative models of sequential assembly. We develop a generative model based on graph-structured neural networks that can learn from human-built structures and produce visually compelling designs. Our code is released at: https://github.com/uoguelph-mlrg/GenerativeLEGO.
Key facts. Cited by 14 papers in the map (data through 14 Oct 2026). First posted on arXiv 21 Dec 2020.
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Citing papers per year: 2021: 2; 2022: 5; 2023: 2; 2024: 2; 2025: 1; 2026: 2.
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- 2021Parameter Prediction for Unseen Deep Architecturescited by 89
- 2022On Evaluation Metrics for Graph Generative Modelscited by 46
- 2025Generating Physically Stable and Buildable Brick Structures from Textcited by 24
- 2022Blocks Assemble! Learning to Assemble with Large-Scale Structured Reinforcement Learningcited by 22
- 2021Brick-by-Brick: Combinatorial Construction with Deep Reinforcement Learningcited by 19
- 2022Planning Assembly Sequence with Graph Transformercited by 10
- 2022Break and Make: Interactive Structural Understanding Using LEGO Brickscited by 8
- 2026BrickNet: Graph-Backed Generative Brick Assemblycited by 5
- 2022Budget-Aware Sequential Brick Assembly with Efficient Constraint Satisfactioncited by 4
- 2023A Lightweight and Transferable Design for Robust LEGO Manipulationcited by 4
- 2024TreeSBA: Tree-Transformer for Self-Supervised Sequential Brick Assemblycited by 3
- 2024Learning to Build by Building Your Own Instructionscited by 3
- 2026Sample-Efficient Post-Training for LEGO Spatial-Physics Reasoning29 May 2026
- 2026BrickNet: Graph-Backed Generative Brick Assembly24 Apr 2026
- 2025Generating Physically Stable and Buildable Brick Structures from Text8 May 2025
- 2024Learning to Build by Building Your Own Instructions1 Oct 2024
- 2024TreeSBA: Tree-Transformer for Self-Supervised Sequential Brick Assembly22 Jul 2024
- 2023A Lightweight and Transferable Design for Robust LEGO Manipulation5 Sep 2023
- 2023GRAN is superior to GraphRNN: node orderings, kernel- and graph embeddings-based metrics for graph generators13 Jul 2023
- 2022Planning Assembly Sequence with Graph Transformer11 Oct 2022
- 2022Budget-Aware Sequential Brick Assembly with Efficient Constraint Satisfaction3 Oct 2022
- 2022Break and Make: Interactive Structural Understanding Using LEGO Bricks27 Jul 2022
- 2022Blocks Assemble! Learning to Assemble with Large-Scale Structured Reinforcement Learning15 Mar 2022
- 2022On Evaluation Metrics for Graph Generative Models24 Jan 2022
2 more
- 2021Parameter Prediction for Unseen Deep Architecturescited by 89
- 2022On Evaluation Metrics for Graph Generative Modelscited by 46
- 2025Generating Physically Stable and Buildable Brick Structures from Textcited by 24
- 2022Blocks Assemble! Learning to Assemble with Large-Scale Structured Reinforcement Learningcited by 22
- 2021Brick-by-Brick: Combinatorial Construction with Deep Reinforcement Learningcited by 19
- 2022Planning Assembly Sequence with Graph Transformercited by 10
- 2022Break and Make: Interactive Structural Understanding Using LEGO Brickscited by 8
- 2026BrickNet: Graph-Backed Generative Brick Assemblycited by 5
- 2022Budget-Aware Sequential Brick Assembly with Efficient Constraint Satisfactioncited by 4
- 2023A Lightweight and Transferable Design for Robust LEGO Manipulationcited by 4
- 2024TreeSBA: Tree-Transformer for Self-Supervised Sequential Brick Assemblycited by 3
- 2024Learning to Build by Building Your Own Instructionscited by 3
12 most cited of 13 All 13 (JSON)
- 2026BrickNet: Graph-Backed Generative Brick Assembly24 Apr 2026
- 2025Generating Physically Stable and Buildable Brick Structures from Text8 May 2025
- 2024Learning to Build by Building Your Own Instructions1 Oct 2024
- 2024TreeSBA: Tree-Transformer for Self-Supervised Sequential Brick Assembly22 Jul 2024
- 2023A Lightweight and Transferable Design for Robust LEGO Manipulation5 Sep 2023
- 2023GRAN is superior to GraphRNN: node orderings, kernel- and graph embeddings-based metrics for graph generators13 Jul 2023
- 2022Planning Assembly Sequence with Graph Transformer11 Oct 2022
- 2022Budget-Aware Sequential Brick Assembly with Efficient Constraint Satisfaction3 Oct 2022
- 2022Break and Make: Interactive Structural Understanding Using LEGO Bricks27 Jul 2022
- 2022Blocks Assemble! Learning to Assemble with Large-Scale Structured Reinforcement Learning15 Mar 2022
- 2022On Evaluation Metrics for Graph Generative Models24 Jan 2022
- 2021Brick-by-Brick: Combinatorial Construction with Deep Reinforcement Learning29 Oct 2021
12 newest of 13 All 13 (JSON)