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arXiv 2109.02255cond-mat.mtrl-scics.LG
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数据驱动的三点关联函数微结构表征学习

Data-Driven Learning of 3-Point Correlation Functions as Microstructure Representations

Arizona State University(亚利桑那州立大学)

Sheng Cheng, Yang Jiao, Yi Ren

摘要:

本文考虑了为无序非均质材料系统识别完整、简洁且可解释的定量微观结构表示的开放性挑战。通过现有的数据驱动方法已经实现了完整性和简洁性,例如,然而,深度生成模型不提供数学上可解释的潜在表示。本研究探讨由三点关联函数组成的表征,这是一种特殊类型的空间卷积。我们表明,各种微观结构的特征可以由一个简洁的子集的三点相关性,和这样的子集的识别可以实现贝叶斯优化。最后,我们表明,所提出的表示可以直接用于计算材料的有效介质理论的基础上的属性。

英文摘要:

This paper considers the open challenge of identifying complete, concise, and explainable quantitative microstructure representations for disordered heterogeneous material systems. Completeness and conciseness have been achieved through existing data-driven methods, e.g., deep generative models, which, however, do not provide mathematically explainable latent representations. This study investigates representations composed of three-point correlation functions, which are a special type of spatial convolutions. We show that a variety of microstructures can be characterized by a concise subset of three-point correlations, and the identification of such subsets can be achieved by Bayesian optimization. Lastly, we show that the proposed representation can directly be used to compute material properties based on the effective medium theory.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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