mlsanityData to 14 Oct 2026

ATLAS: A Foundation Neural Sampler for Amorphous Materials

arXiv 2607.19198 ↗First posted 21 Jul 2026cond-mat.mtrl-sci cs.LG physics.comp-phcited by 1

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Abstract (arXiv)

Amorphous materials exhibit exceptional mechanical and functional properties, yet their rugged energy landscapes are notoriously difficult to sample. Below the glass-transition temperature, conventional molecular dynamics and Monte Carlo become inefficient because equilibration relies on rare barrier-crossing events, while data-driven generative models are constrained by scarce and biased reference ensembles. Here, we introduce ATLAS, an efficient sampler that learns a diffusion process to generate Boltzmann-distributed amorphous structures directly from a target energy function. Parameterized by an equivariant graph neural network, ATLAS generalizes across system size, temperature, and composition. By exploiting the time reversal of the diffusion process, it enables efficient estimation of thermodynamic quantities and steering toward target observables. In two-dimensional Kob-Andersen systems, ATLAS reproduces parallel tempering Markov chain Monte Carlo structural distributions, free energies and entropies, achieving below 0.2% free energy error in the low-temperature glass regime with over 500-fold fewer energy evaluations. In Cu-Zr and Cr-Co-Ni metallic glasses, ATLAS recovers experimentally observed short-range-order trends and steers structures toward prescribed order parameters and optimized bulk moduli. Moreover, composition-amortized pretraining outperforms composition-specific training from scratch, reduces inverse-design costs by several hundred-fold, and enables sampling with expensive universal machine learning interatomic potentials. Coupled to a large language model agent, ATLAS searches an eight-element space for high-entropy metallic glasses balancing stiffness and ductility, identifying a converged Pareto frontier within 480 oracle evaluations. Together, these results establish ATLAS as a foundation model for sampling, steering and designing amorphous materials.

Key facts. Cited by 1 paper in the map (data through 14 Oct 2026). Builds on 24 of its 70 references that are in the map. First posted on arXiv 21 Jul 2026.

Builds on

24 of 70 references.

References · 24

  1. 2020Score-Based Generative Modeling through Stochastic Differential Equationscited by 9,122
  2. 2022Elucidating the Design Space of Diffusion-Based Generative Modelscited by 3,045
  3. 2023Stochastic Interpolants: A Unifying Framework for Flows and Diffusionscited by 939
  4. 2025AlphaEvolve: A coding agent for scientific and algorithmic discoverycited by 867
  5. 2022MACE: Higher Order Equivariant Message Passing Neural Networks for Fast and Accurate Force Fieldscited by 474
  6. 2021Equivariant message passing for the prediction of tensorial properties and molecular spectracited by 441
  7. 2021Crystal Diffusion Variational Autoencoder for Periodic Material Generationcited by 270
  8. 2023Practical and Asymptotically Exact Conditional Sampling in Diffusion Modelscited by 232
  9. 2021Path Integral Sampler: a stochastic control approach for samplingcited by 181
  10. 2023Denoising Diffusion Samplerscited by 149
  11. 2023Crystal Structure Prediction by Joint Equivariant Diffusioncited by 148
  12. 2023Improved sampling via learned diffusionscited by 104
12 more
  1. 2025Adjoint Sampling: Highly Scalable Diffusion Samplers via Adjoint Matchingcited by 85
  2. 2024Efficient Evolutionary Search Over Chemical Space with Large Language Modelscited by 61
  3. 2024Target Score Matchingcited by 50
  4. 2025No Trick, No Treat: Pursuits and Challenges Towards Simulation-free Training of Neural Samplerscited by 28
  5. 2025Adjoint Schr"odinger Bridge Samplercited by 21
  6. 2025RNE: plug-and-play diffusion inference-time control and energy-based trainingcited by 17
  7. 2025FEAT: Free energy Estimators with Adaptive Transportcited by 16
  8. 2026Bridge Matching Sampler: Scalable Sampling via Generalized Fixed-Point Diffusion Matchingcited by 10
  9. 2025Boltzmann generators for amorphous particle systemscited by 6
  10. 2025A Generative Diffusion Model for Amorphous Materialscited by 5
  11. 2026A Diffusive Classification Loss for Learning Energy-based Generative Modelscited by 5
  12. 2026Flow Sampling: Learning to Sample from Unnormalized Densities via Denoising Conditional Processescited by 5

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Citing papers per year: 2026: 1.

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  1. 2026Generative Inversion of Spectroscopic Data for Amorphous Structure Elucidation
  2. 2023Vector Field Oriented Diffusion Model for Crystal Material Generation
  3. 2025CrystalGRW: Generative Modeling of Crystal Structures with Targeted Properties via Geodesic Random Walks
  4. 2026Towards Automated Discovery: A Review of Generative Models, Multimodal Learning and Closed-Loop Workflows in Inverse Materials Design
  5. 2023Spectroscopy-Guided Discovery of Three-Dimensional Structures of Disordered Materials with Diffusion Models
  6. 2026MetaDNS: Enhancing Exploration in Discrete Neural Samplers via Well-Tempered Metadynamics
  7. 2025Continuously Tempered Diffusion Samplers
  8. 2026Finetuning-Free Diffusion Model with Adaptive Constraint Guidance for Inorganic Crystal Structure Generation