mlsanityData to 14 Oct 2026

All-atom Diffusion Transformers: Unified generative modelling of molecules and materials

arXiv 2503.03965 ↗First posted 5 Mar 2025cs.LG cs.AIcited by 75

On the map: Diffusion models → Flow matching, time series and science

Abstract (arXiv)

Diffusion models are the standard toolkit for generative modelling of 3D atomic systems. However, for different types of atomic systems -- such as molecules and materials -- the generative processes are usually highly specific to the target system despite the underlying physics being the same. We introduce the All-atom Diffusion Transformer (ADiT), a unified latent diffusion framework for jointly generating both periodic materials and non-periodic molecular systems using the same model: (1) An autoencoder maps a unified, all-atom representations of molecules and materials to a shared latent embedding space; and (2) A diffusion model is trained to generate new latent embeddings that the autoencoder can decode to sample new molecules or materials. Experiments on MP20, QM9 and GEOM-DRUGS datasets demonstrate that jointly trained ADiT generates realistic and valid molecules as well as materials, obtaining state-of-the-art results on par with molecule and crystal-specific models. ADiT uses standard Transformers with minimal inductive biases for both the autoencoder and diffusion model, resulting in significant speedups during training and inference compared to equivariant diffusion models. Scaling ADiT up to half a billion parameters predictably improves performance, representing a step towards broadly generalizable foundation models for generative chemistry. Open source code: https://github.com/facebookresearch/all-atom-diffusion-transformer

Key facts. Cited by 75 papers in the map (data through 14 Oct 2026). Placed in Flow matching, time series and science, one of 14 directions in Diffusion models. Builds on 45 of its 67 references that are in the map. First posted on arXiv 5 Mar 2025.

Builds on

45 of 67 references.

Closest ancestors · 12

Same direction, newest first

  1. 2024FlowLLM: Flow Matching for Material Generation with Large Language Models as Base Distributions30 Oct
  2. 2024Generative Flows on Discrete State-Spaces: Enabling Multimodal Flows with Applications to Protein Co-Design7 Feb
  3. 2023Swallowing the Bitter Pill: Simplified Scalable Conformer Generation27 Nov
  4. 2023Navigating the Design Space of Equivariant Diffusion-Based Generative Models for De Novo 3D Molecule Generation29 Sep
  5. 2023Crystal Structure Prediction by Joint Equivariant Diffusion30 Jul
  6. 2023AbDiffuser: Full-Atom Generation of in vitro Functioning Antibodies28 Jul
  7. 2023Geometric Latent Diffusion Models for 3D Molecule Generation2 May
  8. 2023MiDi: Mixed Graph and 3D Denoising Diffusion for Molecule Generation17 Feb
  9. 2023SE(3) diffusion model with application to protein backbone generation5 Feb
  10. 2022Structure-based Drug Design with Equivariant Diffusion Models24 Oct
  11. 2022Flow Matching for Generative Modeling6 Oct
  12. 2022Equivariant Diffusion for Molecule Generation in 3D31 Mar

Other references · 33

  1. 2017Attention Is All You Needcited by 60,361
  2. 2020Denoising Diffusion Probabilistic Modelscited by 21,076
  3. 2021High-Resolution Image Synthesis with Latent Diffusion Modelscited by 18,863
  4. 2023Llama 2: Open Foundation and Fine-Tuned Chat Modelscited by 13,028
  5. 2021Diffusion Models Beat GANs on Image Synthesiscited by 8,255
  6. 2015Deep Unsupervised Learning using Nonequilibrium Thermodynamicscited by 7,058
  7. 2022Scalable Diffusion Models with Transformerscited by 6,054
  8. 2022Classifier-Free Diffusion Guidancecited by 5,847
  9. 2023Adding Conditional Control to Text-to-Image Diffusion Modelscited by 5,503
  10. 2024Scaling Rectified Flow Transformers for High-Resolution Image Synthesiscited by 4,181
  11. 2019Generative Modeling by Estimating Gradients of the Data Distributioncited by 4,101
  12. 2017MoleculeNet: A Benchmark for Molecular Machine Learningcited by 1,051
21 more
  1. 2021E(n) Equivariant Graph Neural Networkscited by 965
  2. 2024WorldSimBench: Towards Video Generation Models as World Simulatorscited by 881
  3. 2024SiT: Exploring Flow and Diffusion-based Generative Models with Scalable Interpolant Transformerscited by 737
  4. 2021Score-based Generative Modeling in Latent Spacecited by 636
  5. 2022DiffDock: Diffusion Steps, Twists, and Turns for Molecular Dockingcited by 313
  6. 2023Emu: Enhancing Image Generation Models Using Photogenic Needles in a Haystackcited by 279
  7. 2021Crystal Diffusion Variational Autoencoder for Periodic Material Generationcited by 270
  8. 2020GEOM: Energy-annotated molecular conformations for property prediction and molecular generationcited by 243
  9. 2023EquiformerV2: Improved Equivariant Transformer for Scaling to Higher-Degree Representationscited by 204
  10. 2024FlowMM: Generating Materials with Riemannian Flow Matchingcited by 109
  11. 2023MatterGen: a generative model for inorganic materials designcited by 98
  12. 2024Fine-Tuned Language Models Generate Stable Inorganic Materials as Textcited by 93
  13. 2023On the Expressive Power of Geometric Graph Neural Networkscited by 90
  14. 2023A Hitchhiker's Guide to Geometric GNNs for 3D Atomic Systemscited by 68
  15. 2023Language models can generate molecules, materials, and protein binding sites directly in three dimensions as XYZ, CIF, and PDB filescited by 59
  16. 2023Scalable Diffusion for Materials Generationcited by 54
  17. 2024SemlaFlow -- Efficient 3D Molecular Generation with Latent Attention and Equivariant Flow Matchingcited by 41
  18. 20233D molecule generation by denoising voxel gridscited by 40
  19. 2023From Molecules to Materials: Pre-training Large Generalizable Models for Atomic Property Predictioncited by 39
  20. 2023MOFDiff: Coarse-grained Diffusion for Metal-Organic Framework Designcited by 24
  21. 2023Symphony: Symmetry-Equivariant Point-Centered Spherical Harmonics for 3D Molecule Generationcited by 17

Built on by

Cited by year (2026 to 14 Oct)

Citing papers per year: 2025: 36; 2026: 39.

75 papers.

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  1. 2025LeMat-GenBench: A Unified Evaluation Framework for Crystal Generative Modelscited by 23
  2. 2025FlowMol3: Flow Matching for 3D De Novo Small-Molecule Generationcited by 21
  3. 2025Guiding Generative Models to Uncover Diverse and Novel Crystals via Reinforcement Learningcited by 21
  4. 2025SimpleFold: Folding Proteins is Simpler than You Thinkcited by 16
  5. 2025PLaID++: A Preference Aligned Language Model for Targeted Inorganic Materials Designcited by 14
  6. 2025LLM Meets Diffusion: A Hybrid Framework for Crystal Material Generationcited by 13
  7. 2025TABASCO: A Fast, Simplified Model for Molecular Generation with Improved Physical Qualitycited by 12
  8. 2025All that structure matches does not glittercited by 12
  9. 2025Towards Unified and Lossless Latent Space for 3D Molecular Latent Diffusion Modelingcited by 11
  10. 2025Materials Generation in the Era of Artificial Intelligence: A Comprehensive Surveycited by 10
  11. 2025Flexible MOF Generation with Torsion-Aware Flow Matchingcited by 10
  12. 2025Platonic Transformers: A Solid Choice For Equivariancecited by 10
38 more
  1. 2026Crystalite: A Lightweight Transformer for Efficient Crystal Modelingcited by 10
  2. 2025Scalable Autoregressive 3D Molecule Generationcited by 8
  3. 2026Open Materials Generation with Inference-Time Reinforcement Learningcited by 8
  4. 2025Space Group Conditional Flow Matchingcited by 7
  5. 2025Transformers Discover Molecular Structure Without Graph Priorscited by 7
  6. 2026Multimodal Crystal Flow: Any-to-Any Modality Generation for Unified Crystal Modelingcited by 7
  7. 2025Sampling 3D Molecular Conformers with Diffusion Transformerscited by 6
  8. 2025TopoMAS: Large Language Model Driven Topological Materials Multiagent Systemcited by 6
  9. 2025CrystalDiT: A Diffusion Transformer for Crystal Generationcited by 6
  10. 2025Continuous SUN (Stable, Unique, and Novel) Metric for Generative Modeling of Inorganic Crystalscited by 6
  11. 2025Boltzmann generators for amorphous particle systemscited by 6
  12. 2026End-to-End Training for Unified Tokenization and Latent Denoisingcited by 6
  13. 2025Learning Inter-Atomic Potentials without Explicit Equivariancecited by 5
  14. 2025Branching Flows: Discrete, Continuous, and Manifold Flow Matching with Splits and Deletionscited by 5
  15. 2025Mofasa: A Step Change in Metal-Organic Framework Generationcited by 5
  16. 2026Zatom-1: Towards a Multimodal Foundation Model for 3D Molecules and Materialscited by 5
  17. 2025Building-Block Aware Generative Modeling for 3D Crystals of Metal Organic Frameworkscited by 4
  18. 2025MiAD: Mirage Atom Diffusion for De Novo Crystal Generationcited by 4
  19. 2025Atomic Diffusion Models for Small Molecule Structure Elucidation from NMR Spectracited by 4
  20. 2026Principled Latent Diffusion for Graphs via Laplacian Autoencoderscited by 4
  21. 2026Self-Conditioned Denoising for Atomistic Representation Learningcited by 4
  22. 2026Crys-JEPA: Accelerating Crystal Discovery via Embedding Screening and Generative Refinementcited by 4
  23. 2025Scalable Non-Equivariant 3D Molecule Generation via Rotational Alignmentcited by 3
  24. 2026NNiT: Width-Agnostic Neural Network Generation with Structurally Aligned Weight Spacescited by 3
  25. 2026ToolMol: Evolutionary Agentic Framework for Multi-objective Drug Discoverycited by 3
  26. 2026CrystalReasoner: Reasoning and RL for Property-Conditioned Crystal Structure Generationcited by 3
  27. 2025Generative Modeling of Full-Atom Protein Conformations using Latent Diffusion on Graph Embeddingscited by 2
  28. 2025Predictive Feature Caching for Training-free Acceleration of Molecular Geometry Generationcited by 2
  29. 2025Scalable Single-Cell Gene Expression Generation with Latent Diffusion Modelscited by 2
  30. 2025Transport Novelty Distance: A Distributional Metric for Evaluating Material Generative Modelscited by 2
  31. 2026Generative Molecular Morphing for Flexible-Size Design via Unbalanced Optimal Transportcited by 2
  32. 2025Scaling Laws for Neural Material Modelscited by 1
  33. 2025Irresponsible AI: big tech's influence on AI research and associated impactscited by 1
  34. 2025MolSculpt: Sculpting 3D Molecular Geometries from Chemical Syntaxcited by 1
  35. 2026C2NP: A Benchmark for Learning Scale-Dependent Geometric Invariances in 3D Materials Generationcited by 1
  36. 2026World Models as an Intermediary between Agents and the Real Worldcited by 1
  37. 2026How Far Can You Grow? Characterizing the Extrapolation Frontier of Graph Generative Models for Materials Sciencecited by 1
  38. 2026Fourier Transformers for Latent Crystallographic Diffusion and Generative Modelingcited by 1

50 most cited of 75 All 75 (JSON)

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  1. 2025D3MES: Diffusion Transformer with multihead equivariant self-attention for 3D molecule generation
  2. 2023Learning Joint 2D & 3D Diffusion Models for Complete Molecule Generation
  3. 2024Generative Inverse Design of Crystal Structures via Diffusion Models with Transformers
  4. 2023Investigating the Behavior of Diffusion Models for Accelerating Electronic Structure Calculations
  5. 2025ATOM: A Pretrained Neural Operator for Multitask Molecular Dynamics
  6. 2026VQ-SAD: Vector Quantized Structure Aware Diffusion For Molecule Generation
  7. 2024Geometric-Facilitated Denoising Diffusion Model for 3D Molecule Generation
  8. 2023Diffusion probabilistic models enhance variational autoencoder for crystal structure generative modeling