Convolutional neural networks enable high-fidelity prediction of rotation-invariant properties of amorphous and crystalline materials
Zhao Fan
Phys. Rev. Materials 10, 053803 (2026) - Published 14 May, 2026
Over the past two decades, various machine learning (ML) methods have been broadly used to predict properties from structure of materials, which is valuable in accelerating the discovery and development of new materials for different applications. Convolutional neural networks (CNN), however, have not been widely used in materials science, although they have been demonstrated to possess the state-of-the-art learning capability in the field of computer vision and pattern recognition. Recently, it was shown that CNN are powerful in predicting orientation-dependent properties when using a new structure representation—spatial density map (SDM). However, it is unclear whether the deep learning (DL) framework combining CNN and SDM is useful for predicting rotation-invariant properties because of the lack of rotational invariance of SDMs. Here, we demonstrate that this DL framework can also enable high-fidelity prediction of rotation-invariant properties through two examples, i.e., predicting the flexibility volume of metallic glasses and the grain-boundary segregation energy of polycrystals. This is realized through training CNN models via data augmentation and defining a common protocol to establish a unique local coordinate system to compute SDMs when applying CNN models. The advantages of the DL framework arise from the completeness of the SDM and the excellent learning capability of CNN models. Thanks to the high fidelity of CNN models, additional physical insights into structure–property relationships are obtained. The DL method is expected to be useful for a broad range of topics in materials science.




