mlsanityData to 14 Oct 2026

Scalable Autoregressive 3D Molecule Generation

arXiv 2505.13791 ↗First posted 20 May 2025cs.LG physics.chem-phcited by 8

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

Abstract (arXiv)

Generative models of 3D molecular structure play a rapidly growing role in the design and simulation of molecules. Diffusion models currently dominate the space of 3D molecule generation, while autoregressive models have trailed behind. In this work, we present Quetzal, a simple but scalable autoregressive model that builds molecules atom-by-atom in 3D. Treating each molecule as an ordered sequence of atoms, Quetzal combines a causal transformer that predicts the next atom's discrete type with a smaller Diffusion MLP that models the continuous next-position distribution. Compared to existing autoregressive baselines, Quetzal achieves substantial improvements in generation quality and is competitive with the performance of state-of-the-art diffusion models. In addition, by reducing the number of expensive forward passes through a dense transformer, Quetzal enables significantly faster generation speed, as well as exact divergence-based likelihood computation. Finally, without any architectural changes, Quetzal natively handles variable-size tasks like hydrogen decoration and scaffold completion. We hope that our work motivates a perspective on scalability and generality for generative modelling of 3D molecules.

Key facts. Cited by 8 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 50 of its 86 references that are in the map. First posted on arXiv 20 May 2025.

Builds on

50 of 86 references.

Closest ancestors · 8

Same direction, newest first

  1. 2025All-atom Diffusion Transformers: Unified generative modelling of molecules and materials5 Mar
  2. 2024Unified Generative Modeling of 3D Molecules via Bayesian Flow Networks17 Mar
  3. 2023Equivariant Flow Matching with Hybrid Probability Transport12 Dec
  4. 2023Equivariant flow matching26 Jun
  5. 2023Geometric Latent Diffusion Models for 3D Molecule Generation2 May
  6. 2023Geometry-Complete Diffusion for 3D Molecule Generation and Optimization8 Feb
  7. 2022Equivariant Diffusion for Molecule Generation in 3D31 Mar
  8. 2021Autoregressive Denoising Diffusion Models for Multivariate Probabilistic Time Series Forecasting28 Jan

Other references · 42

  1. 2017Attention Is All You Needcited by 60,361
  2. 2015Deep Residual Learning for Image Recognitioncited by 52,096
  3. 2019PyTorch: An Imperative Style, High-Performance Deep Learning Librarycited by 20,305
  4. 2022Chain-of-Thought Prompting Elicits Reasoning in Large Language Modelscited by 12,459
  5. 2020Denoising Diffusion Implicit Modelscited by 9,781
  6. 2020Score-Based Generative Modeling through Stochastic Differential Equationscited by 9,122
  7. 2022PaLM: Scaling Language Modeling with Pathwayscited by 5,326
  8. 2018Neural Ordinary Differential Equationscited by 3,779
  9. 2022Elucidating the Design Space of Diffusion-Based Generative Modelscited by 3,045
  10. 2023FlashAttention-2: Faster Attention with Better Parallelism and Work Partitioningcited by 2,598
  11. 2017FiLM: Visual Reasoning with a General Conditioning Layercited by 2,333
  12. 2020Fourier Features Let Networks Learn High Frequency Functions in Low Dimensional Domainscited by 2,200
30 more
  1. 2022DPM-Solver: A Fast ODE Solver for Diffusion Probabilistic Model Sampling in Around 10 Stepscited by 1,979
  2. 2021E(n) Equivariant Graph Neural Networkscited by 965
  3. 2024Training Large Language Models to Reason in a Continuous Latent Spacecited by 797
  4. 2024Diffusion Forcing: Next-token Prediction Meets Full-Sequence Diffusioncited by 681
  5. 2024Autoregressive Image Generation without Vector Quantizationcited by 651
  6. 2023Analyzing and Improving the Training Dynamics of Diffusion Modelscited by 402
  7. 2023The Impact of Positional Encoding on Length Generalization in Transformerscited by 327
  8. 2020GEOM: Energy-annotated molecular conformations for property prediction and molecular generationcited by 243
  9. 2025Train for the Worst, Plan for the Best: Understanding Token Ordering in Masked Diffusionscited by 214
  10. 2024Flex Attention: A Programming Model for Generating Optimized Attention Kernelscited by 185
  11. 2023Small-scale proxies for large-scale Transformer training instabilitiescited by 183
  12. 2019Symmetry-adapted generation of 3d point sets for the targeted discovery of moleculescited by 172
  13. 2021E(n) Equivariant Normalizing Flowscited by 165
  14. 2024The pitfalls of next-token predictioncited by 160
  15. 2022Transformer Language Models without Positional Encodings Still Learn Positional Informationcited by 150
  16. 2022Generating 3D Molecules for Target Protein Bindingcited by 104
  17. 2024Fine-Tuned Language Models Generate Stable Inorganic Materials as Textcited by 93
  18. 2023Language models can generate molecules, materials, and protein binding sites directly in three dimensions as XYZ, CIF, and PDB filescited by 59
  19. 2024Transferable Boltzmann Generatorscited by 46
  20. 2024JetFormer: An Autoregressive Generative Model of Raw Images and Textcited by 46
  21. 20233D molecule generation by denoising voxel gridscited by 40
  22. 2024Causal Language Modeling Can Elicit Search and Reasoning Capabilities on Logic Puzzlescited by 38
  23. 2025Scalable Equilibrium Sampling with Sequential Boltzmann Generatorscited by 38
  24. 2023Trans-Dimensional Generative Modeling via Jump Diffusion Modelscited by 35
  25. 2023Symphony: Symmetry-Equivariant Point-Centered Spherical Harmonics for 3D Molecule Generationcited by 17
  26. 2024Geometric Representation Condition Improves Equivariant Molecule Generationcited by 13
  27. 2024BindGPT: A Scalable Framework for 3D Molecular Design via Language Modeling and Reinforcement Learningcited by 12
  28. 2025MatLLMSearch: Crystal Structure Discovery with Evolution-Guided Large Language Modelscited by 7
  29. 2024Bio2Token: All-atom tokenization of any biomolecular structure with Mambacited by 6
  30. 2024Tokenizing 3D Molecule Structure with Quantized Spherical Coordinatescited by 1

Built on by

Cited by year (2026 to 14 Oct)

Citing papers per year: 2025: 1; 2026: 7.

8 papers.

Similar, not cited

Close in wording, no citation either way

  1. 2025NEAT: Neighborhood-Guided, Efficient, Autoregressive Set Transformer for 3D Molecular Generation
  2. 2025D3MES: Diffusion Transformer with multihead equivariant self-attention for 3D molecule generation
  3. 2022MDM: Molecular Diffusion Model for 3D Molecule Generation
  4. 2023Coarse-to-Fine: a Hierarchical Diffusion Model for Molecule Generation in 3D
  5. 2022DiffBP: Generative Diffusion of 3D Molecules for Target Protein Binding
  6. 2026Equivariant Asynchronous Diffusion: An Adaptive Denoising Schedule for Accelerated Molecular Conformation Generation
  7. 2025Unified Cross-Scale 3D Generation and Understanding via Autoregressive Modeling
  8. 2024Diffusion Models in textitDe Novo Drug Design