Where Should Physics Enter a Molecular Crystal Generator?
Not on the map. Why?
Abstract (arXiv)
Generative models make molecular crystal structure prediction fast, but their samples still exhibit geometric and packing violations. Physics can be introduced during training, post-training, or inference, yet these choices are rarely compared with the generator and physical signal held fixed. We introduce CrystAF, an all-atom crystal flow-map generation model, and use it with the UMA interatomic potential to systematically study where physics should enter. Post-training learns physical preferences directly into CrystAF, improving molecular validity and crystal packing while leaving sampling unchanged: physics is paid for once during training rather than repeatedly at deployment. In contrast, UMA relaxation is effective at repairing local clashes but makes generation 6--26× slower, while learning from relaxed targets provides little benefit. These routes are complementary rather than competing. Physics-informed post-training first shifts the generated distribution toward more physically reasonable structures, after which inexpensive inference-time corrections further remove clashes and restore stereochemistry that the generator cannot represent. Importantly, the same post-training strategy also improves the multi-step all-atom Clari-M and rigid-body MolCrystalFlow generators, demonstrating transfer across architectures and representations. Together, our results suggest a simple principle: learn reusable physical alignment into the generator, and reserve inference-time physics for residual constraints that are better corrected than learned.
Key facts. No citing papers in the map yet (data through 14 Oct 2026). Builds on 18 of its 32 references that are in the map. First posted on arXiv 28 Sep 2026.
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References · 18
- 2021Diffusion Models Beat GANs on Image Synthesiscited by 8,255
- 2022Diffusion Posterior Sampling for General Noisy Inverse Problemscited by 1,416
- 2022Scaling Laws for Reward Model Overoptimizationcited by 1,095
- 2023Training Diffusion Models with Reinforcement Learningcited by 982
- 2025Flow-GRPO: Training Flow Matching Models via Online RLcited by 661
- 2025Mean Flows for One-step Generative Modelingcited by 561
- 2023DPOK: Reinforcement Learning for Fine-tuning Text-to-Image Diffusion Modelscited by 450
- 2021Crystal Diffusion Variational Autoencoder for Periodic Material Generationcited by 270
- 2025DiffusionNFT: Online Diffusion Reinforcement with Forward Processcited by 230
- 2023Crystal Structure Prediction by Joint Equivariant Diffusioncited by 148
- 2025UMA: A Family of Universal Models for Atomscited by 105
- 2022Equivariant Energy-Guided SDE for Inverse Molecular Designcited by 73
6 more
- 2024ET-Flow: Equivariant Flow-Matching for Molecular Conformer Generationcited by 43
- 2026AnyFlow: Any-Step Video Diffusion Model with On-Policy Flow Map Distillationcited by 26
- 2026MolCrystalFlow: Molecular Crystal Structure Prediction via Flow Matchingcited by 5
- 2026MeanFlowNFT: Bringing Forward-Process RL to Average-Velocity Generatorscited by 5
- 2024Generative Design of Crystal Structures by Point Cloud Representations and Diffusion Modelcited by 4
- 2026Fast Organic Crystal Structure Prediction with Unit Cell Flow Matchingcited by 3
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