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Performance of Neural Networks. Brief explanation of neural networks Four classes of innovations based on neural networks Are papers on neural networks.

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Presentation on theme: "Performance of Neural Networks. Brief explanation of neural networks Four classes of innovations based on neural networks Are papers on neural networks."— Presentation transcript:

1 Performance of Neural Networks

2 Brief explanation of neural networks Four classes of innovations based on neural networks Are papers on neural networks respectable? Materials Science

3 Empirical Equations

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6 noise

7 modelling uncertainty

8 elegantly answers the question as to whether sufficient data have been used to create the model unreasonable to ask if sufficient data used to create model, relative to number of coefficients - may be sufficient data in some regions of input space and not in others

9 International Fusion Reactor Reduced activation steels

10 Journal of Nuclear Materials 348 (2006) 311-328 Kemp, Cottrell & Bhadeshia

11 Exploitation of neural networks Discover new science Explain observations Design materials or processes Quantitative expression of data

12 Neural networks: unexpected outcomes

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17 tested at room temperature 14.3%  7% 

18 tested at 100 °C 14.3%  13% 

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20 Neural networks: design

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22 Keehan, Karlsson, Andrén, Bhadeshia, Science & Techn. Welding & Joining 11 (2006) 9-18 7Ni 2Mn

23 Exploitation of neural networks Discover new science Explain observations Design materials or processes Quantitative expression of data

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25 9Cr1Mo Dimitriu & Bhadeshia, 2007

26 9Cr1Mo Dimitriu & Bhadeshia, 2007

27 precipitates solid solution iron + microstructure 550 °C 600 °C Murugananth & Bhadeshia, 2001 Components of Creep Strength 2.25Cr1Mo

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29 Exploitation of neural networks Discover new science Explain observations Design materials, processes, experiments Quantitative expression of data

30 Suppose we fail to achieve 650°C Ferritic Creep-Resistant Steel

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33 Exploitation of neural networks Discover new science Explain observations Design materials, processes, experiments Quantitative expression of data

34 weld pool shape Mishra and DebRoy, MSE A, 454 (2007) 454

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36 Five steps in the creation of meaningful neural networks

37 Creation of model Make predictions using model Modelling uncertaintyInvestigate prediction experimentally Model or data disseminated

38 Creation of model1 Make predictions using model2 Investigate prediction experimentally2 Modelling uncertainty2 Model or data disseminated3

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