Mi project progress 01 12-2014
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PCA for all 3600 microstructures • Dimensionality for each microstructure reduced from 231525 (21x21x21x25) to 25 • First 25 principal components (significant) chosen for linkages
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Transcript of Mi project progress 01 12-2014
![Page 1: Mi project progress 01 12-2014](https://reader035.fdocument.pub/reader035/viewer/2022062313/55b67617bb61eb93568b45f8/html5/thumbnails/1.jpg)
PCA for all 3600 microstructures
• Dimensionality for each microstructure reduced from 231525 (21x21x21x25) to 25
• First 25 principal components (significant) chosen for linkages
![Page 2: Mi project progress 01 12-2014](https://reader035.fdocument.pub/reader035/viewer/2022062313/55b67617bb61eb93568b45f8/html5/thumbnails/2.jpg)
![Page 3: Mi project progress 01 12-2014](https://reader035.fdocument.pub/reader035/viewer/2022062313/55b67617bb61eb93568b45f8/html5/thumbnails/3.jpg)
Property –
• Calculated in sample frame by solving equation
![Page 4: Mi project progress 01 12-2014](https://reader035.fdocument.pub/reader035/viewer/2022062313/55b67617bb61eb93568b45f8/html5/thumbnails/4.jpg)
Regression to get structure-property linkages• Polynomial regression with LOOCV
• Number of PC and power of polynomial (n) can be varied to arrive at best linkage without overfit
All microstructures (R2 = 0.71) ….Number of PC =
25 , Power of polynomial (n) = 2 (for first 5 PC’s)