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Gesch et al. J. Mater. Inf. 2025, 5, 42  https://dx.doi.org/10.20517/jmi.2025.23  Page 11 of 20





















































                Figure 4. Training performance of LSTM models in predicting the evolution of reduced microstructure with different training time
                frames. The training loss of LSTM models for predicting the top four autoencoder-reduced microstructural features of compositional
                field,  c, using (A) 80 time frames, (B) 60 time frames, (C) 40 time frames, and (D) 20 time frames as the training dataset. The grey
                dashed lines indicate the starting time frame for LSTM prediction, and the dotted lines after grey dashed lines represent the LSTM-
                predicted feature values of reduced microstructure evolving as time frames until the last 100 time frame. LSTM: Long short-term
                memory.


               feature values. Based on these observations, we conclude that the optimal training time frames for LSTM
               models is between 40-60 for Ostwald ripening.


               With the optimal time frames, we next evaluate the accuracy of reconstructed microstructure images based
               on the LSTM-predicted latent representations. To do this, we adopt well-trained autoencoders to decode the
               latent features back into high-dimensional space and compare the reconstructed images with the original
               2D microstructural images. Figure 5 shows a series of reconstructed microstructural images over time for a
               representative c field based on LSTM-predicted latent features using different time frames. When LSTM
               models are trained with 70 time frames, the reconstructed microstructures using LSTM-reduced features are
               almost identical to the original 2D images. This similarity is supported by the pointwise error plots in the
               third row of Figure 5B, which shows that the LSTM-predicted microstructures exhibit small differences
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