Generative Coarse-Graining of Molecular Conformations
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Abstract (arXiv)
Coarse-graining (CG) of molecular simulations simplifies the particle representation by grouping selected atoms into pseudo-beads and drastically accelerates simulation. However, such CG procedure induces information losses, which makes accurate backmapping, i.e., restoring fine-grained (FG) coordinates from CG coordinates, a long-standing challenge. Inspired by the recent progress in generative models and equivariant networks, we propose a novel model that rigorously embeds the vital probabilistic nature and geometric consistency requirements of the backmapping transformation. Our model encodes the FG uncertainties into an invariant latent space and decodes them back to FG geometries via equivariant convolutions. To standardize the evaluation of this domain, we provide three comprehensive benchmarks based on molecular dynamics trajectories. Experiments show that our approach always recovers more realistic structures and outperforms existing data-driven methods with a significant margin.
Key facts. Cited by 21 papers in the map (data through 7 Oct 2026). Builds on 36 of its 73 references that are in the map. First posted on arXiv 28 Jan 2022.
Builds on
36 of 73 references.
References · 36
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Citing papers per year: 2022: 3; 2023: 8; 2024: 3; 2025: 4; 2026: 3.
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- 2022e3nn: Euclidean Neural Networkscited by 171
- 2022MolGenSurvey: A Systematic Survey in Machine Learning Models for Molecule Designcited by 66
- 2022Flow-matching -- efficient coarse-graining of molecular dynamics without forcescited by 36
- 2023Chemically Transferable Generative Backmapping of Coarse-Grained Proteinscited by 14
- 2023DiffSDS: A language diffusion model for protein backbone inpainting under geometric conditions and constraintscited by 10
- 2023DiAMoNDBack: Diffusion-denoising Autoregressive Model for Non-Deterministic Backmapping of Cα Protein Tracescited by 10
- 2023PrefixMol: Target- and Chemistry-aware Molecule Design via Prefix Embeddingcited by 7
- 2023CoarsenConf: Equivariant Coarsening with Aggregated Attention for Molecular Conformer Generationcited by 7
- 2024Diffusion Twigs with Loop Guidance for Conditional Graph Generationcited by 4
- 2023Backdiff: a diffusion model for generalized transferable protein backmappingcited by 3
- 2023Ophiuchus: Scalable Modeling of Protein Structures through Hierarchical Coarse-graining SO(3)-Equivariant Autoencoderscited by 3
- 2025Split-Flows: Measure Transport and Information Loss Across Molecular Resolutionscited by 3
9 more
- 2023On the Relationships between Graph Neural Networks for the Simulation of Physical Systems and Classical Numerical Methodscited by 2
- 2024Constraint Decoupled Latent Diffusion for Protein Backmappingcited by 2
- 2024Equivariant Blurring Diffusion for Hierarchical Molecular Conformer Generationcited by 2
- 2025Energy-Based Coarse-Graining in Molecular Dynamics: A Flow-Based Framework without Datacited by 2
- 2025An Iterative Framework for Generative Backmapping of Coarse Grained Proteinscited by 1
- 2025Operator Forces For Coarse-Grained Molecular Dynamicscited by 0
- 2026Coarse-Grained Boltzmann Generatorscited by 0
- 2026Recovering molecules from coarse-grained beads: free-energy-conditioned generative backmapping across chemical spacecited by 0
- 2026A strategic roadmap for an atomistic machine-learning ecosystemcited by 0
- 2026A strategic roadmap for an atomistic machine-learning ecosystem30 Sep 2026
- 2026Recovering molecules from coarse-grained beads: free-energy-conditioned generative backmapping across chemical space3 Sep 2026
- 2026Coarse-Grained Boltzmann Generators11 Feb 2026
- 2025Split-Flows: Measure Transport and Information Loss Across Molecular Resolutions3 Nov 2025
- 2025Operator Forces For Coarse-Grained Molecular Dynamics24 Jun 2025
- 2025An Iterative Framework for Generative Backmapping of Coarse Grained Proteins23 May 2025
- 2025Energy-Based Coarse-Graining in Molecular Dynamics: A Flow-Based Framework without Data29 Apr 2025
- 2024Diffusion Twigs with Loop Guidance for Conditional Graph Generation31 Oct 2024
- 2024Equivariant Blurring Diffusion for Hierarchical Molecular Conformer Generation26 Oct 2024
- 2024Constraint Decoupled Latent Diffusion for Protein Backmapping17 Oct 2024
- 2023Ophiuchus: Scalable Modeling of Protein Structures through Hierarchical Coarse-graining SO(3)-Equivariant Autoencoders4 Oct 2023
- 2023Backdiff: a diffusion model for generalized transferable protein backmapping3 Oct 2023
9 more
- 2023DiAMoNDBack: Diffusion-denoising Autoregressive Model for Non-Deterministic Backmapping of Cα Protein Traces23 Jul 2023
- 2023CoarsenConf: Equivariant Coarsening with Aggregated Attention for Molecular Conformer Generation26 Jun 2023
- 2023On the Relationships between Graph Neural Networks for the Simulation of Physical Systems and Classical Numerical Methods31 Mar 2023
- 2023Chemically Transferable Generative Backmapping of Coarse-Grained Proteins2 Mar 2023
- 2023PrefixMol: Target- and Chemistry-aware Molecule Design via Prefix Embedding14 Feb 2023
- 2023DiffSDS: A language diffusion model for protein backbone inpainting under geometric conditions and constraints22 Jan 2023
- 2022e3nn: Euclidean Neural Networks18 Jul 2022
- 2022MolGenSurvey: A Systematic Survey in Machine Learning Models for Molecule Design28 Mar 2022
- 2022Flow-matching -- efficient coarse-graining of molecular dynamics without forces21 Mar 2022
- 2022Flow-matching -- efficient coarse-graining of molecular dynamics without forcescited by 36
- 2023DiffSDS: A language diffusion model for protein backbone inpainting under geometric conditions and constraintscited by 10
- 2023DiAMoNDBack: Diffusion-denoising Autoregressive Model for Non-Deterministic Backmapping of Cα Protein Tracescited by 10
- 2023Backdiff: a diffusion model for generalized transferable protein backmappingcited by 3
- 2023Ophiuchus: Scalable Modeling of Protein Structures through Hierarchical Coarse-graining SO(3)-Equivariant Autoencoderscited by 3
- 2024Constraint Decoupled Latent Diffusion for Protein Backmappingcited by 2
- 2024Equivariant Blurring Diffusion for Hierarchical Molecular Conformer Generationcited by 2
- 2024Equivariant Blurring Diffusion for Hierarchical Molecular Conformer Generation26 Oct 2024
- 2024Constraint Decoupled Latent Diffusion for Protein Backmapping17 Oct 2024
- 2023Ophiuchus: Scalable Modeling of Protein Structures through Hierarchical Coarse-graining SO(3)-Equivariant Autoencoders4 Oct 2023
- 2023Backdiff: a diffusion model for generalized transferable protein backmapping3 Oct 2023
- 2023DiAMoNDBack: Diffusion-denoising Autoregressive Model for Non-Deterministic Backmapping of Cα Protein Traces23 Jul 2023
- 2023DiffSDS: A language diffusion model for protein backbone inpainting under geometric conditions and constraints22 Jan 2023
- 2022Flow-matching -- efficient coarse-graining of molecular dynamics without forces21 Mar 2022
- 2022e3nn: Euclidean Neural Networkscited by 171
- 2022MolGenSurvey: A Systematic Survey in Machine Learning Models for Molecule Designcited by 66
- 2023Chemically Transferable Generative Backmapping of Coarse-Grained Proteinscited by 14
- 2023PrefixMol: Target- and Chemistry-aware Molecule Design via Prefix Embeddingcited by 7
- 2023CoarsenConf: Equivariant Coarsening with Aggregated Attention for Molecular Conformer Generationcited by 7
- 2024Diffusion Twigs with Loop Guidance for Conditional Graph Generationcited by 4
- 2025Split-Flows: Measure Transport and Information Loss Across Molecular Resolutionscited by 3
- 2023On the Relationships between Graph Neural Networks for the Simulation of Physical Systems and Classical Numerical Methodscited by 2
- 2025Energy-Based Coarse-Graining in Molecular Dynamics: A Flow-Based Framework without Datacited by 2
- 2025An Iterative Framework for Generative Backmapping of Coarse Grained Proteinscited by 1
- 2025Operator Forces For Coarse-Grained Molecular Dynamicscited by 0
- 2026Coarse-Grained Boltzmann Generatorscited by 0
12 most cited of 14 All 14 (JSON)
- 2026A strategic roadmap for an atomistic machine-learning ecosystem30 Sep 2026
- 2026Recovering molecules from coarse-grained beads: free-energy-conditioned generative backmapping across chemical space3 Sep 2026
- 2026Coarse-Grained Boltzmann Generators11 Feb 2026
- 2025Split-Flows: Measure Transport and Information Loss Across Molecular Resolutions3 Nov 2025
- 2025Operator Forces For Coarse-Grained Molecular Dynamics24 Jun 2025
- 2025An Iterative Framework for Generative Backmapping of Coarse Grained Proteins23 May 2025
- 2025Energy-Based Coarse-Graining in Molecular Dynamics: A Flow-Based Framework without Data29 Apr 2025
- 2024Diffusion Twigs with Loop Guidance for Conditional Graph Generation31 Oct 2024
- 2023CoarsenConf: Equivariant Coarsening with Aggregated Attention for Molecular Conformer Generation26 Jun 2023
- 2023On the Relationships between Graph Neural Networks for the Simulation of Physical Systems and Classical Numerical Methods31 Mar 2023
- 2023Chemically Transferable Generative Backmapping of Coarse-Grained Proteins2 Mar 2023
- 2023PrefixMol: Target- and Chemistry-aware Molecule Design via Prefix Embedding14 Feb 2023
12 newest of 14 All 14 (JSON)