Deep learning-based estimation of Flory–Huggins parameter of A–B block copolymers from cross-sectional images of phase-separated structures

Abstract In this study, deep learning (DL)-based estimation of the Flory–Huggins χ parameter of A-B diblock copolymers from two-dimensional cross-sectional images of three-dimensional (3D) phase-separated structures were investigated. 3D structures with random networks of phase-separated domains wer...

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Main Authors: Katsumi Hagita, Takeshi Aoyagi, Yuto Abe, Shinya Genda, Takashi Honda
Format: Article
Language:English
Published: Nature Publishing Group 2021-06-01
Series:Scientific Reports
Online Access:https://doi.org/10.1038/s41598-021-91761-8
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spelling doaj-23277c4f89ff4663aec541534d1fba242021-06-13T11:40:37ZengNature Publishing GroupScientific Reports2045-23222021-06-0111111610.1038/s41598-021-91761-8Deep learning-based estimation of Flory–Huggins parameter of A–B block copolymers from cross-sectional images of phase-separated structuresKatsumi Hagita0Takeshi Aoyagi1Yuto Abe2Shinya Genda3Takashi Honda4Department of Applied Physics, National Defense AcademyResearch Center for Computational Design of Advanced Functional Materials, National Institute of Advanced Industrial Science and TechnologyDepartment of Applied Physics, National Defense AcademyDepartment of Applied Physics, National Defense AcademyZeon CorporationAbstract In this study, deep learning (DL)-based estimation of the Flory–Huggins χ parameter of A-B diblock copolymers from two-dimensional cross-sectional images of three-dimensional (3D) phase-separated structures were investigated. 3D structures with random networks of phase-separated domains were generated from real-space self-consistent field simulations in the 25–40 χN range for chain lengths (N) of 20 and 40. To confirm that the prepared data can be discriminated using DL, image classification was performed using the VGG-16 network. We comprehensively investigated the performances of the learned networks in the regression problem. The generalization ability was evaluated from independent images with the unlearned χN. We found that, except for large χN values, the standard deviation values were approximately 0.1 and 0.5 for A-component fractions of 0.2 and 0.35, respectively. The images for larger χN values were more difficult to distinguish. In addition, the learning performances for the 4-class problem were comparable to those for the 8-class problem, except when the χN values were large. This information is useful for the analysis of real experimental image data, where the variation of samples is limited.https://doi.org/10.1038/s41598-021-91761-8
collection DOAJ
language English
format Article
sources DOAJ
author Katsumi Hagita
Takeshi Aoyagi
Yuto Abe
Shinya Genda
Takashi Honda
spellingShingle Katsumi Hagita
Takeshi Aoyagi
Yuto Abe
Shinya Genda
Takashi Honda
Deep learning-based estimation of Flory–Huggins parameter of A–B block copolymers from cross-sectional images of phase-separated structures
Scientific Reports
author_facet Katsumi Hagita
Takeshi Aoyagi
Yuto Abe
Shinya Genda
Takashi Honda
author_sort Katsumi Hagita
title Deep learning-based estimation of Flory–Huggins parameter of A–B block copolymers from cross-sectional images of phase-separated structures
title_short Deep learning-based estimation of Flory–Huggins parameter of A–B block copolymers from cross-sectional images of phase-separated structures
title_full Deep learning-based estimation of Flory–Huggins parameter of A–B block copolymers from cross-sectional images of phase-separated structures
title_fullStr Deep learning-based estimation of Flory–Huggins parameter of A–B block copolymers from cross-sectional images of phase-separated structures
title_full_unstemmed Deep learning-based estimation of Flory–Huggins parameter of A–B block copolymers from cross-sectional images of phase-separated structures
title_sort deep learning-based estimation of flory–huggins parameter of a–b block copolymers from cross-sectional images of phase-separated structures
publisher Nature Publishing Group
series Scientific Reports
issn 2045-2322
publishDate 2021-06-01
description Abstract In this study, deep learning (DL)-based estimation of the Flory–Huggins χ parameter of A-B diblock copolymers from two-dimensional cross-sectional images of three-dimensional (3D) phase-separated structures were investigated. 3D structures with random networks of phase-separated domains were generated from real-space self-consistent field simulations in the 25–40 χN range for chain lengths (N) of 20 and 40. To confirm that the prepared data can be discriminated using DL, image classification was performed using the VGG-16 network. We comprehensively investigated the performances of the learned networks in the regression problem. The generalization ability was evaluated from independent images with the unlearned χN. We found that, except for large χN values, the standard deviation values were approximately 0.1 and 0.5 for A-component fractions of 0.2 and 0.35, respectively. The images for larger χN values were more difficult to distinguish. In addition, the learning performances for the 4-class problem were comparable to those for the 8-class problem, except when the χN values were large. This information is useful for the analysis of real experimental image data, where the variation of samples is limited.
url https://doi.org/10.1038/s41598-021-91761-8
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