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Title: Inferring low-dimensional microstructure representations using convolutional neural networks

Journal Article · · Physical Review E
 [1];  [2];  [2]
  1. Boston Univ., MA (United States). Dept. of Physics; Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
  2. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

We apply here recent advances in machine learning and computer vision to a central problem in materials informatics: the statistical representation of microstructural images. We use activations in a pretrained convolutional neural network to provide a high-dimensional characterization of a set of synthetic microstructural images. Next, we use manifold learning to obtain a low-dimensional embedding of this statistical characterization. We show that the low-dimensional embedding extracts the parameters used to generate the images. Finally, according to a variety of metrics, the convolutional neural network method yields dramatically better embeddings than the analogous method derived from two-point correlations alone.

Research Organization:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Organization:
USDOE; LANL Laboratory Directed Research and Development (LDRD) Program
Grant/Contract Number:
AC52-06NA25396
OSTI ID:
1485399
Alternate ID(s):
OSTI ID: 1408180
Report Number(s):
LA-UR-16-27229
Journal Information:
Physical Review E, Vol. 96, Issue 5; ISSN 2470-0045
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 67 works
Citation information provided by
Web of Science

References (49)

Microstructure sensitive design for performance optimization journal August 2010
Delineation of the space of 2-point correlations in a composite material system journal October 2008
Computational microstructure characterization and reconstruction for stochastic multiscale material design journal January 2013
Deep learning journal May 2015
Accelerated search for materials with targeted properties by adaptive design journal April 2016
A Global Geometric Framework for Nonlinear Dimensionality Reduction journal December 2000
Multidimensional scaling by optimizing goodness of fit to a nonmetric hypothesis journal March 1964
A predictive machine learning approach for microstructure optimization and materials design journal June 2015
Modeling heterogeneous materials via two-point correlation functions: Basic principles journal September 2007
Microstructural degeneracy associated with a two-point correlation function and its information content journal May 2012
Three-Dimensional Characterization of Microstructure by Electron Back-Scatter Diffraction journal August 2007
Predictions of effective physical properties of complex multiphase materials journal December 2008
Optimal Design of Heterogeneous Materials journal June 2010
Image driven machine learning methods for microstructure recognition journal October 2016
An image synthesizer journal July 1985
Big–deep–smart data in imaging for guiding materials design journal September 2015
Geometrical ambiguity of pair statistics. II. Heterogeneous media journal July 2010
Descriptor-based methodology for statistical characterization and 3D reconstruction of microstructural materials journal April 2014
Geometrical ambiguity of pair statistics: Point configurations journal January 2010
Stable-phase method for hierarchical annealing in the reconstruction of porous media images journal January 2014
ImageNet Large Scale Visual Recognition Challenge journal April 2015
Group Invariant Scattering journal July 2012
Exploring the microstructure manifold: Image texture representations applied to ultrahigh carbon steel microstructures journal July 2017
Improved reconstructions of random media using dilation and erosion processes journal November 2011
Novel microstructure quantification framework for databasing, visualization, and analysis of microstructure data journal July 2013
Stochastic microstructure characterization and reconstruction via supervised learning journal January 2016
Using microstructure reconstruction to model mechanical behavior in complex microstructures journal August 2006
A superior descriptor of random textures and its predictive capacity journal October 2009
Gradient-based learning applied to document recognition journal January 1998
Classification and reconstruction of three-dimensional microstructures using support vector machines journal February 2005
Nonlinear Dimensionality Reduction by Locally Linear Embedding journal December 2000
Orientation imaging: The emergence of a new microscopy journal April 1993
Informatics and data science in materials microscopy journal June 2017
Density of States for a Specified Correlation Function and the Energy Landscape journal February 2012
Microstructure informatics using higher-order statistics and efficient data-mining protocols journal April 2011
The elements of statistical learning: data mining, inference and prediction journal March 2005
Data science and cyberinfrastructure: critical enablers for accelerated development of hierarchical materials journal October 2014
Improving pattern reconstruction using directional correlation functions journal June 2014
Microstructure reconstructions from 2-point statistics using phase-recovery algorithms journal March 2008
A computer vision approach for automated analysis and classification of microstructural image data journal December 2015
Insights into twinning in Mg AZ31: A combined EBSD and machine learning study journal November 2016
ImageNet Large Scale Visual Recognition Challenge text January 2015
Deep Learning text January 2018
The Elements of Statistical Learning: Data Mining, Inference, and Prediction journal January 2010
Geometrical Ambiguity of Pair Statistics. I. Point Configurations text January 2009
Geometrical Ambiguity of Pair Statistics. II. Heterogeneous Media text January 2010
Group Invariant Scattering preprint January 2011
A Superior Descriptor of Random Textures and Its Predictive Capacity text January 2012
Density of States for a Specified Correlation Function and the Energy Landscape text January 2012

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Deep Learning to Speed up the Development of Structure–Property Relations For Hexagonal Boron Nitride and Graphene journal April 2019
Transfer learning of deep material network for seamless structure–property predictions journal April 2019
Clustering discretization methods for generation of material performance databases in machine learning and design optimization journal May 2019
Automated defect analysis in electron microscopic images journal July 2018
A Transfer Learning Approach for Microstructure Reconstruction and Structure-property Predictions journal September 2018
Precise algorithms to compute surface correlation functions of two-phase heterogeneous media and their applications journal July 2018
Multifunctionality of particulate composites via cross-property maps journal September 2018
Microstructural Materials Design Via Deep Adversarial Learning Methodology journal October 2018
A Review of the Application of Machine Learning and Data Mining Approaches in Continuum Materials Mechanics journal May 2019
Modeling Macroscopic Material Behavior With Machine Learning Algorithms Trained by Micromechanical Simulations journal August 2019
A review of the application of machine learning and data mining approaches in continuum materials mechanics text January 2019
A Transfer Learning Approach for Microstructure Reconstruction and Structure-property Predictions preprint January 2018

Figures / Tables (13)