Eguchi Ryuto, Wen Yu, Abe Hideki, Hashimoto Ayako
National Institute for Materials Science, 1-2-1 Sengen, Tsukuba 305-0047, Ibaraki, Japan.
Graduate School of Pure and Applied Sciences, University of Tsukuba, 1-2-1 Sengen, Tsukuba 305-0047, Ibaraki, Japan.
Nanomaterials (Basel). 2024 Aug 29;14(17):1413. doi: 10.3390/nano14171413.
Persistent homology is a powerful tool for quantifying various structures, but it is equally crucial to maintain its interpretability. In this study, we extracted interpretable geometric features from the persistent diagrams (PDs) of scanning transmission electron microscopy (STEM) images of self-assembled Pt-CeO nanostructures synthesized under different annealing conditions. We focused on PD quadrants and extracted five interpretable features from the zeroth and first PDs of nanostructures ranging from maze-like to striped patterns. A combination of hierarchical clustering and inverse analysis of PDs reconstructed by principal component analysis through vectorization of the PDs highlighted the importance of the number of arc-like structures of the CeO phase in the first PDs, particularly those that were smaller than a characteristic size. This descriptor enabled us to quantify the degree of disorder, namely the density of bends, in nanostructures formed under different conditions. By using this descriptor along with the width of the CeO phase, we classified 12 Pt-CeO nanostructures in an interpretable way.
持久同调是量化各种结构的强大工具，但保持其可解释性同样至关重要。在本研究中，我们从在不同退火条件下合成的自组装Pt-CeO纳米结构的扫描透射电子显微镜（STEM）图像的持久图（PDs）中提取了可解释的几何特征。我们关注PD象限，并从纳米结构的第零和第一PDs中提取了五个可解释的特征，这些纳米结构的图案从迷宫状到条纹状不等。通过对PDs进行向量化处理，将层次聚类与主成分分析重建的PDs的逆分析相结合，突出了第一PDs中CeO相的弧形结构数量的重要性，特别是那些小于特征尺寸的弧形结构。该描述符使我们能够量化不同条件下形成的纳米结构中的无序程度，即弯曲密度。通过使用该描述符以及CeO相的宽度，我们以可解释的方式对12种Pt-CeO纳米结构进行了分类。
