arXiv:2605.04229cs.LGcond-mat.mtrl-sci2026-05被引 23

用自编码器和PCA压缩微结构图像,加速相场模拟。

Capabilities of Auto-encoders and Principal Component Analysis of the Reduction of Microstructural Images; Application on the Acceleration of Phase-Field Simulations

论文配图:Capabilities of Auto-encoders and Principal Component Analysis of the Reduction of Microstructural Images; Application on the Acceleration of Phase-Field Simulations
图 1 · 摘自论文原文
  • 结合自编码器与主成分分析实现高效降维。
  • 降维比达1/196,精度超80%。
  • 适合需要快速模拟的材料科学研究者。

本文提出一种基于相场模拟数据的数据驱动框架,验证神经网络在低维化模拟微结构图像方面的能力,并支持时序分析。数据集来自高保真相场模拟。分析表明,自编码器与主成分分析结合可实现高效显著的降维:降维比为1/196,精度超过80%。该结果为潜空间数据分析提供可能。应用长短期记忆(LSTM)神经网络展示出预测下一帧图像的潜力,从而可在无需高算力资源的情况下加速相场模拟。讨论了该框架在多个研究领域的应用前景。从分析中提出了多种降维方法,包括自编码器、主成分分析和人工神经网络;时序分析方法包括LSTM和门控循环单元(GRU)。

原文摘要 · Abstract (English)

In this work, a data-driven framework based on Phase-Field simulations data is proposed to highlight the capabilities of neural networks to ensure accurate low dimensionality reduction of simulated microstructural images and to provide time-series analysis. The dataset was indeed constructed from high-fidelity Phase-Field simulations. Analyses demonstrated that the association of auto-encoder neural networks and principal component analyses leads to ensure efficient and significant dimensionality reduction: 1/196 of reduction ratio with more than 80% of accuracy. These findings give insight to apply analyses on data from the latent dimension. Application of Long Short Term Memory (LSTM) neural networks showed the possibility of making next frame predictions; that makes possible the acceleration of Phase-Field simulation without the need of high computing resources. We discussed the application of such a framework on various areas of research. Different methods are proposed from the conducted analyses, in order to ensure dimensionality reduction, including auto-encoders, principal component analysis and Artificial Neural Networks, and time-series analysis, including LSTM and Gated Recurrent Unit (GRU).

相场模拟降维神经网络

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