Introducing a Precise System for Determining Volume Percentages Independent of Scale Thickness and Type of Flow Regime
Abstract
:1. Introduction
2. Simulation Setup
3. Discrete Wavelet Transform
4. Artificial Neural Network
5. Result and Discussion
6. Conclusions
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Conflicts of Interest
References
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Data Set | MRE% | MSE | RMSE |
---|---|---|---|
Train | 1.22 | 0.19 | 0.44 |
Test | 0.97 | 0.12 | 0.35 |
Ref. | Extracted Features | Type of Neural Network | MSE | RMSE | ||
---|---|---|---|---|---|---|
Training | Testing | Training | Testing | |||
[5] | Time-domain | MLP | 0.21 | 0.036 | 0.46 | 0.6 |
[6] | Time-domain | GMDH | 1.24 | 1.20 | 1.11 | 1.09 |
[7] | Lack of feature extraction | GMDH | 7.34 | 4.92 | 2.71 | 2.21 |
[8] | Frequency-domain | MLP | 0.17 | 0.67 | 0.42 | 0.82 |
[49] | Lack of feature extraction | MLP | 17.05 | 9.85 | 4.13 | 3.14 |
[50] | Lack of feature extraction | MLP | 2.56 | 2.56 | 1.6 | 1.6 |
[current study] | Wavelet feature | GMDH | 0.19 | 0.12 | 0.44 | 0.35 |
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Mayet, A.M.; Alizadeh, S.M.; Kakarash, Z.A.; Al-Qahtani, A.A.; Alanazi, A.K.; Alhashimi, H.H.; Eftekhari-Zadeh, E.; Nazemi, E. Introducing a Precise System for Determining Volume Percentages Independent of Scale Thickness and Type of Flow Regime. Mathematics 2022, 10, 1770. https://doi.org/10.3390/math10101770
Mayet AM, Alizadeh SM, Kakarash ZA, Al-Qahtani AA, Alanazi AK, Alhashimi HH, Eftekhari-Zadeh E, Nazemi E. Introducing a Precise System for Determining Volume Percentages Independent of Scale Thickness and Type of Flow Regime. Mathematics. 2022; 10(10):1770. https://doi.org/10.3390/math10101770
Chicago/Turabian StyleMayet, Abdulilah Mohammad, Seyed Mehdi Alizadeh, Zana Azeez Kakarash, Ali Awadh Al-Qahtani, Abdullah K. Alanazi, Hala H. Alhashimi, Ehsan Eftekhari-Zadeh, and Ehsan Nazemi. 2022. "Introducing a Precise System for Determining Volume Percentages Independent of Scale Thickness and Type of Flow Regime" Mathematics 10, no. 10: 1770. https://doi.org/10.3390/math10101770