mlsanityData to 7 Oct 2026

Machine Learning Multiscale Interactions

arXiv 2605.25710 ↗First posted 25 May 2026physics.chem-ph cond-mat.mtrl-sci cs.LGcited by 1

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Abstract (arXiv)

Realistic physical systems are characterised by emergent interactions across multiple length and time scales, posing a significant challenge for predictive machine learning (ML) models. Most scientific ML models focus on a narrow range of interactions. While machine learning force fields (MLFFs) offer near-quantum accuracy, the ubiquitous message-passing layers miss long-range many-body effects. Here we introduce the Multiscale Structural Ensemble (MuSE), a hierarchical model that uses Soft Coarse-Graining Pooling to construct coarse representations from smooth fractional assignments of atoms to coarse nodes, enabling MLFF modules to operate across multiple scales. MuSE is architecture-agnostic and coupled with SO3krates, MACE, and PaiNN MLFFs for both molecules and materials. We demonstrate the power of MuSE through Hessian-based benchmarks, folding trajectories for biomolecules, and energy profiles in molecule-graphene nanostructures, where MuSE accurately captures quantum-mechanical interactions at relevant scales -- unlike other recent long-range ML models.

Key facts. Cited by 1 paper in the map (data through 7 Oct 2026). Builds on 31 of its 66 references that are in the map. First posted on arXiv 25 May 2026.

Builds on

31 of 66 references.

References · 31

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19 more
  1. 2021Equivariant message passing for the prediction of tensorial properties and molecular spectracited by 438
  2. 2017Large-scale Point Cloud Semantic Segmentation with Superpoint Graphscited by 384
  3. 2021GemNet: Universal Directional Graph Neural Networks for Moleculescited by 342
  4. 2019PairNorm: Tackling Oversmoothing in GNNscited by 297
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  8. 2021SpookyNet: Learning Force Fields with Electronic Degrees of Freedom and Nonlocal Effectscited by 103
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  11. 2023Ewald-based Long-Range Message Passing for Molecular Graphscited by 46
  12. 2023Self-positioning Point-based Transformer for Point Cloud Understandingcited by 40
  13. 2022So3krates: Equivariant attention for interactions on arbitrary length-scales in molecular systemscited by 39
  14. 2023Efficient Approximations of Complete Interatomic Potentials for Crystal Property Predictioncited by 37
  15. 2024Complete and Efficient Graph Transformers for Crystal Material Property Predictioncited by 34
  16. 2024Latent Ewald summation for machine learning of long-range interactionscited by 26
  17. 20202D-3D Geometric Fusion Network using Multi-Neighbourhood Graph Convolution for RGB-D Indoor Scene Classificationcited by 9
  18. 2025A Cartesian Encoding Graph Neural Network for Crystal Structures Property Prediction: Application to Thermal Ellipsoid Estimationcited by 4
  19. 2025PRISM: Periodic Representation with multIscale and Similarity graph Modelling for enhanced crystal structure property predictioncited by 2

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