ResearchResearch paperEfficiency & Inference · Image, Video & 3D Generation1 source · Oct 20, 2026

CrystalAR: Autoregressive Modeling for Symmetric Crystal Generation

To address these challenges, we propose CrystalAR, a unified autoregressive framework that models Wyckoff symmetry templates and complete crystal structures within a single generative sequence.

Key points

  • Deep generative modeling has achieved remarkable progress in crystal generation.
  • Given the rich symmetries inherent in crystalline structures, recent work has sought to explicitly incorporate space-group symmetry into generative models, enabling more effective exploration of novel symmetry templates.
  • Yet introducing symmetry templates increases the combinatorial complexity of stoichiometric relationships between atomic species and crystallographic sites, while creating a fundamental tension between flexible exploration of discrete crystallographic templates and faithful realization of these templates as continuous three-dimensional structures.
  • These results suggest that symmetry-template generation can be retained alongside broadly competitive de novo generation performance and competitive CSP without reliance on symmetry templates retrieved from prior data, providing a promising alternative paradigm for symmetry-preserving crystal generation.

Sources (1)

  • [1]CrystalAR: Autoregressive Modeling for Symmetric Crystal Generation
    arXiv (AI, ML, NLP, CV, robotics, multi-agent) · Oct 20, 07:26 AM
    To address these challenges, we propose CrystalAR, a unified autoregressive framework that models Wyckoff symmetry templates and complete crystal structures within a single generative sequence.
    Deep generative modeling has achieved remarkable progress in crystal generation.

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