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Title: Generative Adversarial Networks and Mixture Density Networks-Based Inverse Modeling for Microstructural Materials Design

Abstract

Abstract There are two broad modeling paradigms in scientific applications: forward and inverse. While forward modeling estimates the observations based on known causes, inverse modeling attempts to infer the causes given the observations. Inverse problems are usually more critical as well as difficult in scientific applications as they seek to explore the causes that cannot be directly observed. Inverse problems are used extensively in various scientific fields, such as geophysics, health care and materials science. Exploring the relationships from properties to microstructures is one of the inverse problems in material science. It is challenging to solve the microstructure discovery inverse problem, because it usually needs to learn a one-to-many nonlinear mapping. Given a target property, there are multiple different microstructures that exhibit the target property, and their discovery also requires significant computing time. Further, microstructure discovery becomes even more difficult because the dimension of properties (input) is much lower than that of microstructures (output). In this work, we propose a framework consisting of generative adversarial networks and mixture density networks for inverse modeling of structure–property linkages in materials, i.e., microstructure discovery for a given property. The results demonstrate that compared to baseline methods, the proposed framework can overcome the above-mentionedmore » challenges and discover multiple promising solutions in an efficient manner.« less

Authors:
; ; ; ; ; ; ORCiD logo
Publication Date:
Sponsoring Org.:
USDOE
OSTI Identifier:
1897242
Grant/Contract Number:  
SC0019358; SC0021399
Resource Type:
Published Article
Journal Name:
Integrating Materials and Manufacturing Innovation
Additional Journal Information:
Journal Name: Integrating Materials and Manufacturing Innovation Journal Volume: 11 Journal Issue: 4; Journal ID: ISSN 2193-9764
Publisher:
Springer Science + Business Media
Country of Publication:
Germany
Language:
English

Citation Formats

Mao, Yuwei, Yang, Zijiang, Jha, Dipendra, Paul, Arindam, Liao, Wei-keng, Choudhary, Alok, and Agrawal, Ankit. Generative Adversarial Networks and Mixture Density Networks-Based Inverse Modeling for Microstructural Materials Design. Germany: N. p., 2022. Web. doi:10.1007/s40192-022-00285-0.
Mao, Yuwei, Yang, Zijiang, Jha, Dipendra, Paul, Arindam, Liao, Wei-keng, Choudhary, Alok, & Agrawal, Ankit. Generative Adversarial Networks and Mixture Density Networks-Based Inverse Modeling for Microstructural Materials Design. Germany. https://doi.org/10.1007/s40192-022-00285-0
Mao, Yuwei, Yang, Zijiang, Jha, Dipendra, Paul, Arindam, Liao, Wei-keng, Choudhary, Alok, and Agrawal, Ankit. Tue . "Generative Adversarial Networks and Mixture Density Networks-Based Inverse Modeling for Microstructural Materials Design". Germany. https://doi.org/10.1007/s40192-022-00285-0.
@article{osti_1897242,
title = {Generative Adversarial Networks and Mixture Density Networks-Based Inverse Modeling for Microstructural Materials Design},
author = {Mao, Yuwei and Yang, Zijiang and Jha, Dipendra and Paul, Arindam and Liao, Wei-keng and Choudhary, Alok and Agrawal, Ankit},
abstractNote = {Abstract There are two broad modeling paradigms in scientific applications: forward and inverse. While forward modeling estimates the observations based on known causes, inverse modeling attempts to infer the causes given the observations. Inverse problems are usually more critical as well as difficult in scientific applications as they seek to explore the causes that cannot be directly observed. Inverse problems are used extensively in various scientific fields, such as geophysics, health care and materials science. Exploring the relationships from properties to microstructures is one of the inverse problems in material science. It is challenging to solve the microstructure discovery inverse problem, because it usually needs to learn a one-to-many nonlinear mapping. Given a target property, there are multiple different microstructures that exhibit the target property, and their discovery also requires significant computing time. Further, microstructure discovery becomes even more difficult because the dimension of properties (input) is much lower than that of microstructures (output). In this work, we propose a framework consisting of generative adversarial networks and mixture density networks for inverse modeling of structure–property linkages in materials, i.e., microstructure discovery for a given property. The results demonstrate that compared to baseline methods, the proposed framework can overcome the above-mentioned challenges and discover multiple promising solutions in an efficient manner.},
doi = {10.1007/s40192-022-00285-0},
journal = {Integrating Materials and Manufacturing Innovation},
number = 4,
volume = 11,
place = {Germany},
year = {Tue Nov 08 00:00:00 EST 2022},
month = {Tue Nov 08 00:00:00 EST 2022}
}

Works referenced in this record:

Perspective: Materials informatics and big data: Realization of the “fourth paradigm” of science in materials science
journal, April 2016

  • Agrawal, Ankit; Choudhary, Alok
  • APL Materials, Vol. 4, Issue 5
  • DOI: 10.1063/1.4946894

Deep learning for tomographic image reconstruction
journal, December 2020


U-Net: Convolutional Networks for Biomedical Image Segmentation
book, November 2015

  • Ronneberger, Olaf; Fischer, Philipp; Brox, Thomas
  • Medical Image Computing and Computer-Assisted Intervention – MICCAI 2015: 18th International Conference, Munich, Germany, October 5-9, 2015, Proceedings, Part III
  • DOI: 10.1007/978-3-319-24574-4_28

Integrating physics-based models with sensor data: An inverse modeling approach
journal, May 2019


Characterization and Design of Functional Quasi-Random Nanostructured Materials Using Spectral Density Function
journal, May 2017

  • Yu, Shuangcheng; Zhang, Yichi; Wang, Chen
  • Journal of Mechanical Design, Vol. 139, Issue 7
  • DOI: 10.1115/1.4036582

Computational materials science and engineering education: A survey of trends and needs
journal, October 2009


Deep Residual Learning for Model-Based Iterative CT Reconstruction Using Plug-and-Play Framework
conference, April 2018

  • Ye, Dong Hye; Srivastava, Somesh; Thibault, Jean-Baptiste
  • ICASSP 2018 - 2018 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)
  • DOI: 10.1109/ICASSP.2018.8461408

Densely Connected Convolutional Networks
conference, July 2017

  • Huang, Gao; Liu, Zhuang; Maaten, Laurens van der
  • 2017 IEEE Conference on Computer Vision and Pattern Recognition (CVPR)
  • DOI: 10.1109/CVPR.2017.243

Context Aware Machine Learning Approaches for Modeling Elastic Localization in Three-Dimensional Composite Microstructures
journal, March 2017

  • Liu, Ruoqian; Yabansu, Yuksel C.; Yang, Zijiang
  • Integrating Materials and Manufacturing Innovation, Vol. 6, Issue 2
  • DOI: 10.1007/s40192-017-0094-3

A Deep Adversarial Learning Methodology for Designing Microstructural Material Systems
conference, November 2018

  • Li, Xiaolin; Yang, Zijiang; Brinson, L. Catherine
  • ASME 2018 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, Volume 2B: 44th Design Automation Conference
  • DOI: 10.1115/DETC2018-85633

Accelerated materials property predictions and design using motif-based fingerprints
journal, July 2015

  • Huan, Tran Doan; Mannodi-Kanakkithodi, Arun; Ramprasad, Rampi
  • Physical Review B, Vol. 92, Issue 1
  • DOI: 10.1103/PhysRevB.92.014106

Cross-property deep transfer learning framework for enhanced predictive analytics on small materials data
journal, November 2021


Inverse modeling for quantitative X-ray microanalysis applied to 2D heterogeneous materials
journal, December 2020


Deep learning approaches for mining structure-property linkages in high contrast composites from simulation datasets
journal, August 2018


Data-Driven Multi-Scale Modeling and Optimization for Elastic Properties of Cubic Microstructures
journal, April 2022

  • Hasan, M.; Mao, Y.; Choudhary, K.
  • Integrating Materials and Manufacturing Innovation, Vol. 11, Issue 2
  • DOI: 10.1007/s40192-022-00258-3

An integrated inverse model-experimental approach to determine soft tissue three-dimensional constitutive parameters: application to post-infarcted myocardium
journal, August 2017

  • Avazmohammadi, Reza; Li, David S.; Leahy, Thomas
  • Biomechanics and Modeling in Mechanobiology, Vol. 17, Issue 1
  • DOI: 10.1007/s10237-017-0943-1

StackGAN: Text to Photo-Realistic Image Synthesis with Stacked Generative Adversarial Networks
conference, October 2017

  • Zhang, Han; Xu, Tao; Li, Hongsheng
  • 2017 IEEE International Conference on Computer Vision (ICCV)
  • DOI: 10.1109/ICCV.2017.629

EBSD image segmentation using a physics-based forward model
conference, September 2013

  • Park, Se Un; Wei, Dennis; De Graef, Marc
  • 2013 20th IEEE International Conference on Image Processing (ICIP), 2013 IEEE International Conference on Image Processing
  • DOI: 10.1109/ICIP.2013.6738779

Microstructural Materials Design Via Deep Adversarial Learning Methodology
journal, October 2018

  • Yang, Zijiang; Li, Xiaolin; Catherine Brinson, L.
  • Journal of Mechanical Design, Vol. 140, Issue 11
  • DOI: 10.1115/1.4041371

Deep materials informatics: Applications of deep learning in materials science
journal, June 2019


BRNet: Branched Residual Network for Fast and Accurate Predictive Modeling of Materials Properties
book, January 2022

  • Gupta, Vishu; Liao, Wei-keng; Choudhary, Alok
  • Proceedings of the 2022 SIAM International Conference on Data Mining (SDM)
  • DOI: 10.1137/1.9781611977172.39

Deep Recurrent Models with Fast-Forward Connections for Neural Machine Translation
journal, December 2016

  • Zhou, Jie; Cao, Ying; Wang, Xuguang
  • Transactions of the Association for Computational Linguistics, Vol. 4
  • DOI: 10.1162/tacl_a_00105

The joint automated repository for various integrated simulations (JARVIS) for data-driven materials design
journal, November 2020

  • Choudhary, Kamal; Garrity, Kevin F.; Reid, Andrew C. E.
  • npj Computational Materials, Vol. 6, Issue 1
  • DOI: 10.1038/s41524-020-00440-1

Deep Residual Learning for Image Recognition
conference, June 2016

  • He, Kaiming; Zhang, Xiangyu; Ren, Shaoqing
  • 2016 IEEE Conference on Computer Vision and Pattern Recognition (CVPR)
  • DOI: 10.1109/CVPR.2016.90

Min-Entropy Latent Model for Weakly Supervised Object Detection
conference, June 2018

  • Wan, Fang; Wei, Pengxu; Jiao, Jianbin
  • 2018 IEEE/CVF Conference on Computer Vision and Pattern Recognition
  • DOI: 10.1109/CVPR.2018.00141

Mathematical and experimental method to obtain the inverse modeling of nonsinusoidal and saturated synchronous reluctance motors
journal, December 2003

  • Sturtzer, G.; Flieller, D.; Louis, J. P.
  • IEEE Transactions on Energy Conversion, Vol. 18, Issue 4
  • DOI: 10.1109/TEC.2003.816601

Inverse Modeling Applied for Material Characterization of Powder Materials
journal, October 2014

  • Andersson, Daniel C.; Lindskog, Per; Larsson, Per-Lennart
  • Journal of Testing and Evaluation, Vol. 43, Issue 5
  • DOI: 10.1520/JTE20130266

Enabling deeper learning on big data for materials informatics applications
journal, February 2021


Combinatorial screening for new materials in unconstrained composition space with machine learning
journal, March 2014