Score-based 3D molecule generation with neural fields
Matthieu Kirchmeyer, Pedro O. Pinheiro, Saeed Saremi
Abstract
We introduce a new representation for 3D molecules based on their continuous atomic density fields. Using this representation, we propose a new model based on walk-jump sampling [1] for unconditional 3D molecule generation in the continuous space using neural fields. Our model, FuncMol, encodes molecular fields into latent codes using a conditional neural field, samples noisy codes from a Gaussian-smoothed distribution with Langevin MCMC (walk), denoises these samples in a single step (jump), and finally decodes them into molecular fields. FuncMol performs all-atom generation of 3D molecules without assumptions on the molecular structure and scales well with the size of molecules, unlike most approaches. Our method achieves competitive results on drug-like molecules and easily scales to macro-cyclic peptides, with at least one order of magnitude faster sampling. 1
Ask about this paper
Your agent reads all of it.
Lune indexed this paper to the last equation, along with the top-tier papers that cite it. Ask a question and the answer quotes them.
Cited by top-tier papers7
- Unified all-atom molecule generation with neural fieldsMatthieu Kirchmeyer, Pedro O. Pinheiro, Emma Willett, Karolis Martinkus et al.NeurIPS 2025 · 3 citations
- Sampling Binary Data by Denoising through Score FunctionsFrancis Bach, Saeed SaremiICML 2025 · 2 citations
- CORDS - Continuous Representations of Discrete StructuresTin Hadži Veljković, Erik J Bekkers, Michael Tiemann, Jan-Willem van de MeentICLR 2026 · 1 citation
- Energy-Based Models for Predicting Mutational Effects on ProteinsPatrick Soga, Zhenyu Lei, Yinhan He, Camille L. Bilodeau et al.KDD 2025 · 1 citation
- Manipulating 3D Molecules in a Fixed-Dimensional E(3)-Equivariant Latent SpaceZitao Chen, Yinjun Jia, Zitong Tian, Wei-Ying Ma et al.NeurIPS 2025
Builds on35
- Fourier Features Let Networks Learn High Frequency Functions in Low Dimensional DomainsMatthew Tancik, Pratul P. Srinivasan, Ben Mildenhall, Sara Fridovich-Keil et al.NeurIPS 2020 · 4,036 citations
- Implicit Neural Representations with Periodic Activation FunctionsVincent Sitzmann, Julien N. P. Martel, Alexander W. Bergman, David B. Lindell et al.NeurIPS 2020 · 4,008 citations
- E(n) Equivariant Graph Neural NetworksVictor Garcia Satorras, Emiel Hoogeboom, Max WellingICML 2021 · 1,432 citations
- Equivariant Diffusion for Molecule Generation in 3DEmiel Hoogeboom, Victor Garcia Satorras, Clément Vignac, Max WellingICML 2022 · 865 citations
- GeoDiff: A Geometric Diffusion Model for Molecular Conformation GenerationMinkai Xu, Lantao Yu, Yang Song, Chence Shi et al.ICLR 2022 · 695 citations
Related papers
- VecMol: Vector-Field Representations for 3D Molecule GenerationYuchen Hua, Xingang Peng, Jianzhu Ma, Muhan ZhangICML 2026
- 3D molecule generation by denoising voxel gridsPedro O. Pinheiro, Joshua A. Rackers, Joseph Kleinhenz, Michael Maser et al.NeurIPS 2023 · 55 citations
- Structure-based drug design by denoising voxel gridsPedro O. Pinheiro, Arian Rokkum Jamasb, Omar Mahmood, Vishnu Sresht et al.ICML 2024 · 23 citations
- NExT-Mol: 3D Diffusion Meets 1D Language Modeling for 3D Molecule GenerationZhiyuan Liu, Yanchen Luo, Han Huang, Enzhi Zhang et al.ICLR 2025
- Unified Generative Modeling of 3D Molecules with Bayesian Flow NetworksYuxuan Song, Jingjing Gong, Hao Zhou, Mingyue Zheng et al.ICLR 2024 · 36 citations
