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Besonderheiten der Didaktik der Service-Mathematik innerhalb der Didaktik der Hochschulmathematik
(2019)
Based on a data-driven approach, a computer-assisted workflow for the quantitative analysis of optical Kerr microscopy images of sintered FeNdB-type permanent magnets was developed. By analyzing the domain patterns visible in the Kerr image with data-driven approaches such as traditional machine learning and advanced deep learning, we can quantify grain orientation and size with a better trade-off between accuracy and higher throughput than electron backscatter diffraction (EBSD). The key distinction between traditional machine learning and advanced deep learning lies in feature extraction. Traditional methods require manual, user-dependent feature extraction from input data, while advanced deep learning achieves this automatically. The predictions from the trained models were compared to the measurements from EBSD for performance evaluation. The proposed data-driven model is trained on the dataset created from the correlative microscopy technique, which requires the images of grains extracted from the Kerr microscopy and corresponding EBSD grain orientation data (Euler angles). The fine-tuned deep learning model shows better generalization ability than the traditional machine learning models trained on the manually extracted features and resulted in a mean absolute error of less than 5° for grain orientation of the anisotropic magnet samples when evaluated against the measured EBSD values. The developed approach has reduced the measurement effort for grain orientation by 5 times and have sufficient accuracy when compared to the EBSD.
In this study, we investigate the use of artificial neural networks as a potentially efficient method to determine the rate capability of electrodes for lithium-ion batteries with different porosities. The performance of a lithium-ion battery is, to a large extent, determined by the microstructure (i.e., layer thickness and porosity) of its electrodes. Tailoring the microstructure to a specific application is a crucial process in battery development. However, unravelling the complex correlations between microstructure and rate performance using either experiments or simulations is time-consuming and costly. Our approach provides a swift method for predicting the rate capability of battery electrodes by using machine learning on microstructural images of electrode cross-sections. We train multiple models in order to predict the specific capacity based on the batteries’ microstructure and investigate the decisive parts of the microstructure through the use of explainable artificial intelligence (XAI) methods. Our study shows that even comparably small neural network architectures are capable of providing state-of-the-art prediction results. In addition to this, our XAI studies demonstrate that the models are using understandable human features while ignoring present artefacts.
Die Begriffe künstliche Intelligenz und digitaler Zwilling sind prägende Themen der heutigen Zeit. Zwar beeinflussen beide Themen die Entwicklung der Gesellschaft auf verschiedene Arten und Weisen. Dennoch sind sie als Untersuchungsobjekt schlecht definiert und es herrschen etliche unterschiedliche Verständnisse dieser Begriffe.
Der vorliegende Aufsatz nähert sich dem Begriffen künstliche Intelligenz und digitaler Zwilling durch eine Literaturanalyse, um das Verständnis dieser Begriffe in ihrer Nutzung zu schärfen. Im Anschluss der Begriffsbetrachtung wird für jeden der zwei Begriffe betriebliche Anwendungsbereiche aufgezeigt. Folgend den Einzelbetrachtungen werden mögliche Forschungsrichtungen aufgezeigt und diskutiert.