Generative Inverse Design of Crystal Structures via Diffusion Models with Transformers
On the map: Diffusion models → Flow matching, time series and science
Abstract (arXiv)
Recent advances in deep learning have enabled the generation of realistic data by training generative models on large datasets of text, images, and audio. While these models have demonstrated exceptional performance in generating novel and plausible data, it remains an open question whether they can effectively accelerate scientific discovery through the data generation and drive significant advancements across various scientific fields. In particular, the discovery of new inorganic materials with promising properties poses a critical challenge, both scientifically and for industrial applications. However, unlike textual or image data, materials, or more specifically crystal structures, consist of multiple types of variables - including lattice vectors, atom positions, and atomic species. This complexity in data give rise to a variety of approaches for representing and generating such data. Consequently, the design choices of generative models for crystal structures remain an open question. In this study, we explore a new type of diffusion model for the generative inverse design of crystal structures, with a backbone based on a Transformer architecture. We demonstrate our models are superior to previous methods in their versatility for generating crystal structures with desired properties. Furthermore, our empirical results suggest that the optimal conditioning methods vary depending on the dataset.
Key facts. Cited by 7 papers in the map (data through 7 Oct 2026). Placed in Flow matching, time series and science, one of 14 directions in Diffusion models. Builds on 36 of its 49 references that are in the map. First posted on arXiv 13 Jun 2024.
Builds on
36 of 49 references.
Closest ancestors · 3
Same direction, newest first
- 2023Crystal Structure Prediction by Joint Equivariant Diffusion30 Jul
- 2022DiGress: Discrete Denoising diffusion for graph generation29 Sep
- 2022Equivariant Diffusion for Molecule Generation in 3D31 Mar
Other references · 33
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- 2020Denoising Diffusion Probabilistic Modelscited by 20,851
- 2015U-Net: Convolutional Networks for Biomedical Image Segmentationcited by 19,604
- 2021High-Resolution Image Synthesis with Latent Diffusion Modelscited by 18,694
- 2023GPT-4 Technical Reportcited by 18,132
- 2020Score-Based Generative Modeling through Stochastic Differential Equationscited by 8,964
- 2022Scalable Diffusion Models with Transformerscited by 5,931
- 2016Layer Normalizationcited by 5,579
- 2019Generative Modeling by Estimating Gradients of the Data Distributioncited by 4,067
- 2021Structured Denoising Diffusion Models in Discrete State-Spacescited by 1,665
- 2020DiffWave: A Versatile Diffusion Model for Audio Synthesiscited by 1,339
21 more
- 2018Self-Attention with Relative Position Representationscited by 1,112
- 2020Improved Techniques for Training Score-Based Generative Modelscited by 1,036
- 2021Diffusion Probabilistic Models for 3D Point Cloud Generationcited by 734
- 2020WaveGrad: Estimating Gradients for Waveform Generationcited by 620
- 2021Argmax Flows and Multinomial Diffusion: Learning Categorical Distributionscited by 566
- 2021Do Transformers Really Perform Bad for Graph Representation?cited by 318
- 2021Crystal Diffusion Variational Autoencoder for Periodic Material Generationcited by 268
- 2023MDTv2: Masked Diffusion Transformer is a Strong Image Synthesizercited by 260
- 20233D Equivariant Diffusion for Target-Aware Molecule Generation and Affinity Predictioncited by 176
- 2023DiffiT: Diffusion Vision Transformers for Image Generationcited by 104
- 2023MatterGen: a generative model for inorganic materials designcited by 98
- 2022Periodic Graph Transformers for Crystal Material Property Predictioncited by 87
- 2023MolDiff: Addressing the Atom-Bond Inconsistency Problem in 3D Molecule Diffusion Generationcited by 65
- 2020An invertible crystallographic representation for general inverse design of inorganic crystals with targeted propertiescited by 53
- 2023Scalable Diffusion for Materials Generationcited by 52
- 2019Data-Driven Approach to Encoding and Decoding 3-D Crystal Structurescited by 34
- 2024Complete and Efficient Graph Transformers for Crystal Material Property Predictioncited by 34
- 2018CrystalGAN: Learning to Discover Crystallographic Structures with Generative Adversarial Networkscited by 31
- 2023Crystal-GFN: sampling crystals with desirable properties and constraintscited by 29
- 2023Towards Symmetry-Aware Generation of Periodic Materialscited by 25
- 2024Crystalformer: Infinitely Connected Attention for Periodic Structure Encodingcited by 15
Built on by
Citing papers per year: 2025: 4; 2026: 3.
7 papers.
- 2025All that structure matches does not glittercited by 10
- 2025CrystalGRW: Generative Modeling of Crystal Structures with Targeted Properties via Geodesic Random Walkscited by 5
- 2025CrystalICL: Enabling In-Context Learning for Crystal Generationcited by 2
- 2026Fourier Transformers for Latent Crystallographic Diffusion and Generative Modelingcited by 1
- 2026Constrained Diffusion for Accelerated Structure Relaxation of Inorganic Solids with Point Defectscited by 1
- 2026Toward Controllable Catalyst Inverse Design via Large-Scale Autoregressive Pretrainingcited by 1
- 2025Design Topological Materials by Reinforcement Fine-Tuned Generative Modelcited by 0
- 2026Toward Controllable Catalyst Inverse Design via Large-Scale Autoregressive Pretraining16 Jun 2026
- 2026Constrained Diffusion for Accelerated Structure Relaxation of Inorganic Solids with Point Defects22 Feb 2026
- 2026Fourier Transformers for Latent Crystallographic Diffusion and Generative Modeling12 Feb 2026
- 2025All that structure matches does not glitter15 Sep 2025
- 2025CrystalICL: Enabling In-Context Learning for Crystal Generation27 Aug 2025
- 2025Design Topological Materials by Reinforcement Fine-Tuned Generative Model17 Apr 2025
- 2025CrystalGRW: Generative Modeling of Crystal Structures with Targeted Properties via Geodesic Random Walks15 Jan 2025
Similar, not cited
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- 2026Towards Automated Discovery: A Review of Generative Models, Multimodal Learning and Closed-Loop Workflows in Inverse Materials Design
- 2025Establishing baselines for generative discovery of inorganic crystals
- 2024Unleashing the power of novel conditional generative approaches for new materials discovery
- 2026Finetuning-Free Diffusion Model with Adaptive Constraint Guidance for Inorganic Crystal Structure Generation
- 2023Vector Field Oriented Diffusion Model for Crystal Material Generation
- 2026Reinforcement Learning on the Discrete Composition Channel of a Crystal Generator: Validated Gains and Reward Hacking
- 2025CrystalDiT: A Diffusion Transformer for Crystal Generation
- 2026Generative structure search for efficient and diverse discovery of molecular and crystal structures