Crystalite: A Lightweight Transformer for Efficient Crystal Modeling
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Abstract (arXiv)
Generative models for crystalline materials often rely on equivariant graph neural networks, which capture geometric structure well but are costly to train and slow to sample. We present Crystalite, a lightweight diffusion Transformer for crystal modeling built around two simple inductive biases. The first is Subatomic Tokenization, a compact chemically structured atom representation that replaces high-dimensional one-hot encodings and is better suited to continuous diffusion. The second is the Geometry Enhancement Module (GEM), which injects periodic minimum-image pair geometry directly into attention through additive geometric biases. Together, these components preserve the simplicity and efficiency of a standard Transformer while making it better matched to the structure of crystalline materials. Crystalite achieves state-of-the-art results on crystal structure prediction benchmarks, and de novo generation performance, attaining the best S.U.N. discovery score among the evaluated baselines while sampling substantially faster than geometry-heavy alternatives.
Key facts. Cited by 9 papers in the map (data through 7 Oct 2026). Builds on 28 of its 46 references that are in the map. First posted on arXiv 2 Apr 2026.
Builds on
28 of 46 references.
References · 28
- 2020Denoising Diffusion Probabilistic Modelscited by 20,851
- 2021High-Resolution Image Synthesis with Latent Diffusion Modelscited by 18,694
- 2022Scalable Diffusion Models with Transformerscited by 5,931
- 2019Generative Modeling by Estimating Gradients of the Data Distributioncited by 4,067
- 2022Elucidating the Design Space of Diffusion-Based Generative Modelscited by 2,994
- 2021E(n) Equivariant Graph Neural Networkscited by 951
- 2023Stochastic Interpolants: A Unifying Framework for Flows and Diffusionscited by 897
- 2021E(3)-Equivariant Graph Neural Networks for Data-Efficient and Accurate Interatomic Potentialscited by 701
- 2021GemNet: Universal Directional Graph Neural Networks for Moleculescited by 342
- 2021Do Transformers Really Perform Bad for Graph Representation?cited by 318
- 2021Crystal Diffusion Variational Autoencoder for Periodic Material Generationcited by 268
- 2023Flow Matching on General Geometriescited by 260
16 more
- 2023Crystal Structure Prediction by Joint Equivariant Diffusioncited by 142
- 2024FlowMM: Generating Materials with Riemannian Flow Matchingcited by 105
- 2024Fine-Tuned Language Models Generate Stable Inorganic Materials as Textcited by 92
- 2025All-atom Diffusion Transformers: Unified generative modelling of molecules and materialscited by 75
- 2024Space Group Constrained Crystal Generationcited by 71
- 2023Scalable Diffusion for Materials Generationcited by 52
- 2024FlowLLM: Flow Matching for Material Generation with Large Language Models as Base Distributionscited by 52
- 2025SymmCD: Symmetry-Preserving Crystal Generation with Diffusion Modelscited by 48
- 2024Space Group Informed Transformer for Crystalline Materials Generationcited by 40
- 2025Wyckoff Transformer: Generation of Symmetric Crystalscited by 24
- 2025LeMat-GenBench: A Unified Evaluation Framework for Crystal Generative Modelscited by 20
- 2025LLM Meets Diffusion: A Hybrid Framework for Crystal Material Generationcited by 12
- 2025PLaID++: A Preference Aligned Language Model for Targeted Inorganic Materials Designcited by 11
- 2025Kinetic Langevin Diffusion for Crystalline Materials Generationcited by 9
- 2025CrystalDiT: A Diffusion Transformer for Crystal Generationcited by 6
- 2025OXtal: An All-Atom Diffusion Model for Organic Crystal Structure Predictioncited by 4
Built on by
Citing papers per year: 2026: 9.
9 papers.
- 2026Substitution-Based Analysis of Structural Novelty for Generative Models of Materialscited by 2
- 2026Discovering Crystal Structure Prediction Algorithms with an AI Co-Scientistcited by 1
- 2026OMatG-flash: An All-Atom Flow Map with Reinforce Adjoint Matching for Scalable Materials Discoverycited by 1
- 2026Representations from Pretrained Machine-Learning Interatomic Potentials as Coarse Coordinates for Material Generation and Evaluationcited by 0
- 2026Packora: Systematic Design for Generative Molecular Crystal Structure Predictioncited by 0
- 2026Let CSP Be Your ANCHOR: Adaptive Crystal Search over Frozen Structure Priorscited by 0
- 2026GLASS: Global Latent Aggregation with Slot-based Set Decoding for Scalable All-Atom Crystal Generationcited by 0
- 2026Riemannian Flow Models with Reinforcement Learning for Molecular Crystal Structure Predictioncited by 0
- 2026Zatom-2: Multitask Pretraining on Atomistic Data for Generative Modeling across Domainscited by 0
- 2026Zatom-2: Multitask Pretraining on Atomistic Data for Generative Modeling across Domains8 Oct 2026
- 2026Riemannian Flow Models with Reinforcement Learning for Molecular Crystal Structure Prediction30 Sep 2026
- 2026GLASS: Global Latent Aggregation with Slot-based Set Decoding for Scalable All-Atom Crystal Generation29 Sep 2026
- 2026Let CSP Be Your ANCHOR: Adaptive Crystal Search over Frozen Structure Priors27 Sep 2026
- 2026OMatG-flash: An All-Atom Flow Map with Reinforce Adjoint Matching for Scalable Materials Discovery22 Sep 2026
- 2026Packora: Systematic Design for Generative Molecular Crystal Structure Prediction27 Aug 2026
- 2026Representations from Pretrained Machine-Learning Interatomic Potentials as Coarse Coordinates for Material Generation and Evaluation30 Jul 2026
- 2026Substitution-Based Analysis of Structural Novelty for Generative Models of Materials22 Jun 2026
- 2026Discovering Crystal Structure Prediction Algorithms with an AI Co-Scientist22 Jun 2026
Similar, not cited
Close in wording, no citation either way
- 2023Vector Field Oriented Diffusion Model for Crystal Material Generation
- 2024Generative Inverse Design of Crystal Structures via Diffusion Models with Transformers
- 2026Fourier Transformers for Latent Crystallographic Diffusion and Generative Modeling
- 2025CrystalGRW: Generative Modeling of Crystal Structures with Targeted Properties via Geodesic Random Walks
- 2025Universal crystal material property prediction via multi-view geometric fusion in graph transformers
- 2025WyckoffDiff -- A Generative Diffusion Model for Crystal Symmetry
- 2025Periodic Materials Generation using Text-Guided Joint Diffusion Model
- 2026Latent Diffusion Pretraining for Crystal Property Prediction