Real Time Predictions of VGF-GaAs Growth Dynamics by LSTM Neural Networks

The aim of this study was to assess the aptitude of the recurrent Long Short-Term Memory (LSTM) neural networks for fast and accurate predictions of process dynamics in vertical-gradient-freeze growth of gallium arsenide crystals (VGF-GaAs) using datasets generated by numerical transient simulations...

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Main Authors: Natasha Dropka, Stefan Ecklebe, Martin Holena
Format: Article
Language:English
Published: MDPI AG 2021-01-01
Series:Crystals
Subjects:
Online Access:https://www.mdpi.com/2073-4352/11/2/138
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author Natasha Dropka
Stefan Ecklebe
Martin Holena
author_facet Natasha Dropka
Stefan Ecklebe
Martin Holena
author_sort Natasha Dropka
collection DOAJ
description The aim of this study was to assess the aptitude of the recurrent Long Short-Term Memory (LSTM) neural networks for fast and accurate predictions of process dynamics in vertical-gradient-freeze growth of gallium arsenide crystals (VGF-GaAs) using datasets generated by numerical transient simulations. Real time predictions of the temperatures and solid–liquid interface position in GaAs are crucial for control applications and for process visualization, i.e., for generation of digital twins. In the reported study, an LSTM network was trained on 1950 datasets with 2 external inputs and 6 outputs. Based on network performance criteria and training results, LSTMs showed the very accurate predictions of the VGF-GaAs growth process with median root-mean-square-error (RMSE) values of 2 × 10<sup>−3</sup>. This deep learning method achieved a superior predictive accuracy and timeliness compared with more traditional Nonlinear AutoRegressive eXogenous (NARX) recurrent networks.
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spelling doaj.art-000bf34d29da4bdf9fe9da1b8eb643d62023-12-03T15:09:37ZengMDPI AGCrystals2073-43522021-01-0111213810.3390/cryst11020138Real Time Predictions of VGF-GaAs Growth Dynamics by LSTM Neural NetworksNatasha Dropka0Stefan Ecklebe1Martin Holena2Leibniz-Institut für Kristallzüchtung, Max Born St. 2, 12489 Berlin, GermanyInstitute of Control Theory, TU Dresden, Georg Schumann St. 7a, 01187 Dresden, GermanyLeibniz Institute for Catalysis, Albert Einstein St. 29A, 18069 Rostock, GermanyThe aim of this study was to assess the aptitude of the recurrent Long Short-Term Memory (LSTM) neural networks for fast and accurate predictions of process dynamics in vertical-gradient-freeze growth of gallium arsenide crystals (VGF-GaAs) using datasets generated by numerical transient simulations. Real time predictions of the temperatures and solid–liquid interface position in GaAs are crucial for control applications and for process visualization, i.e., for generation of digital twins. In the reported study, an LSTM network was trained on 1950 datasets with 2 external inputs and 6 outputs. Based on network performance criteria and training results, LSTMs showed the very accurate predictions of the VGF-GaAs growth process with median root-mean-square-error (RMSE) values of 2 × 10<sup>−3</sup>. This deep learning method achieved a superior predictive accuracy and timeliness compared with more traditional Nonlinear AutoRegressive eXogenous (NARX) recurrent networks.https://www.mdpi.com/2073-4352/11/2/138neural networkscrystal growthGaAsprocess controldigital twins
spellingShingle Natasha Dropka
Stefan Ecklebe
Martin Holena
Real Time Predictions of VGF-GaAs Growth Dynamics by LSTM Neural Networks
Crystals
neural networks
crystal growth
GaAs
process control
digital twins
title Real Time Predictions of VGF-GaAs Growth Dynamics by LSTM Neural Networks
title_full Real Time Predictions of VGF-GaAs Growth Dynamics by LSTM Neural Networks
title_fullStr Real Time Predictions of VGF-GaAs Growth Dynamics by LSTM Neural Networks
title_full_unstemmed Real Time Predictions of VGF-GaAs Growth Dynamics by LSTM Neural Networks
title_short Real Time Predictions of VGF-GaAs Growth Dynamics by LSTM Neural Networks
title_sort real time predictions of vgf gaas growth dynamics by lstm neural networks
topic neural networks
crystal growth
GaAs
process control
digital twins
url https://www.mdpi.com/2073-4352/11/2/138
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AT stefanecklebe realtimepredictionsofvgfgaasgrowthdynamicsbylstmneuralnetworks
AT martinholena realtimepredictionsofvgfgaasgrowthdynamicsbylstmneuralnetworks