mlsanityData to 7 Oct 2026

EquiFlow: Equivariant Conditional Flow Matching with Optimal Transport for 3D Molecular Conformation Prediction

arXiv 2412.11082 ↗First posted 15 Dec 2024cs.LG physics.chem-ph q-bio.BMcited by 3

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

Abstract (arXiv)

Molecular 3D conformations play a key role in determining how molecules interact with other molecules or protein surfaces. Recent deep learning advancements have improved conformation prediction, but slow training speeds and difficulties in utilizing high-degree features limit performance. We propose EquiFlow, an equivariant conditional flow matching model with optimal transport. EquiFlow uniquely applies conditional flow matching in molecular 3D conformation prediction, leveraging simulation-free training to address slow training speeds. It uses a modified Equiformer model to encode Cartesian molecular conformations along with their atomic and bond properties into higher-degree embeddings. Additionally, EquiFlow employs an ODE solver, providing faster inference speeds compared to diffusion models with SDEs. Experiments on the QM9 dataset show that EquiFlow predicts small molecule conformations more accurately than current state-of-the-art models.

Key facts. Cited by 3 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 26 of its 39 references that are in the map. First posted on arXiv 15 Dec 2024.

Builds on

26 of 39 references.

Closest ancestors · 3

Same direction, newest first

  1. 2023Improving and generalizing flow-based generative models with minibatch optimal transport1 Feb
  2. 2022Equivariant Diffusion for Molecule Generation in 3D31 Mar
  3. 2022GeoDiff: a Geometric Diffusion Model for Molecular Conformation Generation6 Mar

Other references · 23

  1. 2017Attention Is All You Needcited by 59,932
  2. 2020Denoising Diffusion Probabilistic Modelscited by 20,851
  3. 2015Deep Unsupervised Learning using Nonequilibrium Thermodynamicscited by 7,005
  4. 2019Generative Modeling by Estimating Gradients of the Data Distributioncited by 4,067
  5. 2018Neural Ordinary Differential Equationscited by 3,733
  6. 2017Neural Message Passing for Quantum Chemistrycited by 3,460
  7. 2015Variational Inference with Normalizing Flowscited by 2,161
  8. 2019Normalizing Flows for Probabilistic Modeling and Inferencecited by 1,315
  9. 2022Diffusion-LM Improves Controllable Text Generationcited by 1,006
  10. 2021E(n) Equivariant Graph Neural Networkscited by 951
  11. 2020Learning to Simulate Complex Physics with Graph Networkscited by 867
  12. 2018Tensor field networks: Rotation- and translation-equivariant neural networks for 3D point cloudscited by 735
11 more
  1. 2018FFJORD: Free-form Continuous Dynamics for Scalable Reversible Generative Modelscited by 584
  2. 20183D Steerable CNNs: Learning Rotationally Equivariant Features in Volumetric Datacited by 348
  3. 2020Learning from Protein Structure with Geometric Vector Perceptronscited by 308
  4. 2022Equiformer: Equivariant Graph Attention Transformer for 3D Atomistic Graphscited by 258
  5. 2023EquiformerV2: Improved Equivariant Transformer for Scaling to Higher-Degree Representationscited by 201
  6. 2020OT-Flow: Fast and Accurate Continuous Normalizing Flows via Optimal Transportcited by 143
  7. 2021GeoMol: Torsional Geometric Generation of Molecular 3D Conformer Ensemblescited by 106
  8. 2021Inverse design of 3d molecular structures with conditional generative neural networkscited by 93
  9. 2019A Generative Model for Molecular Distance Geometrycited by 73
  10. 2021An End-to-End Framework for Molecular Conformation Generation via Bilevel Programmingcited by 59
  11. 2024SemlaFlow -- Efficient 3D Molecular Generation with Latent Attention and Equivariant Flow Matchingcited by 40

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Cited by year (2026 to 7 Oct)

Citing papers per year: 2025: 2; 2026: 1.

3 papers.

Similar, not cited

Close in wording, no citation either way

  1. 2024ET-Flow: Equivariant Flow-Matching for Molecular Conformer Generation
  2. 2025EquiBoost: An Equivariant Boosting Approach to Molecular Conformation Generation
  3. 2023Equivariant Flow Matching with Hybrid Probability Transport
  4. 20233D Equivariant Diffusion for Target-Aware Molecule Generation and Affinity Prediction
  5. 2026Fixed-Dimensional Latent Flow for Generating Variable-Size 3D Molecules
  6. 2025High-order Equivariant Flow Matching for Density Functional Theory Hamiltonian Prediction
  7. 2025Efficient Molecular Conformer Generation with SO(3)-Averaged Flow Matching and Reflow
  8. 2026Geometric Flow Matching for Molecular Conformation Generation via Manifold Decomposition