Application of Support Vector Machine Modeling for the Rapid Seismic Hazard Safety Evaluation of Existing Buildings
Abstract
:1. Introduction
2. Choice of Building’s Damage Inducing Parameters
2.1. System Type
2.1.1. Reinforced Concrete Frame
2.1.2. Reinforced Concrete Frame with Shear Walls
2.2. Year of Construction
2.3. Number of Stories (NS)
2.4. Ground Floor
2.5. Total Floor Area
2.6. Overhang Area
2.7. Ground and Normal Story Height
2.8. Irregularities
2.8.1. Horizontal Plan Irregularity
- A1: Torsional irregularity,
- A2: Floor irregularity,
- A3: Discontinuity in plan,
- A4: Non-parallel axes of structural elements.
2.8.2. Vertical Irregularity
- B1: Strength irregularity (weak story),
- B2: Stiffness irregularity (soft story),
- B3: Discontinuity of vertical structural elements.
2.9. Number of Continuous Frames in X-direction and Y-direction
2.10. Normalized Redundancy Score (NRS)
2.11. Soft Story Index (SSI)
2.12. Overhang Ratio (OR)
2.13. Minimum Normalized Lateral Strength Index (MNLSI)
2.14. Minimum Normalized Lateral Stiffness Index (MNLSTFI)
3. ML Modelling Approach
3.1. Input Dataset
3.2. Classification of Damage Data
3.3. Data Pre-Processing
3.4. Selection of Input Parameters
3.5. Splitting of Dataset
3.6. Model Selection
3.7. Evaluating the Performance of Predicted Model
3.8. Model Utilization
4. Methodology and Database
4.1. Data Pre-Processing
4.2. Splitting of Dataset
4.3. SVM: Feature Selection and Kernels
- Kernels: Kernels are a combination of mathematical functions. They are designed to collect the input data and alter them into the necessary form. Various SVM mechanisms employ the various form of kernel functions. The kernel functions may vary in types like linear, nonlinear, polynomial, radial basis function (RBF), and sigmoid.
- C (Regularization): C acts as a penalty parameter, which adds an upper bound to the bias of each support vector and manipulates the proximity of fit to the training samples, and kernel value. The misclassification or error term tells the SVM optimization of how much error is bearable. When C is high, it classifies all the data points correctly, but often there is a chance of over-fitting. In counter, when C is low, the optimizer looks for a larger-margin to separate the hyperplane, though the hyperplane misinterprets more points.
- Gamma: Gamma is specific to the RBF kernel, not for the linear or polynomial kernel. The gamma parameter characterizes the effect of a single training sample attainment, where lower gamma means “far”, and higher gamma means “close-by”. Gamma decides the curvature in a decision boundary.
5. Result and Discussion
6. Conclusions
Author Contributions
Funding
Acknowledgments
Conflicts of Interest
Abbreviations
ANN | Artificial Neural Network |
AUC | Area under the Curve |
C | Cost of constraints violation |
FEMA | Federal Emergency Management Agency |
ML | Machine Learning |
MNLSI | Minimum Normalized Lateral Strength Index |
MNLSTFI | Minimum Normalized Lateral Stiffness Index |
N | Number of Stories |
NRS | Normalized Redundancy Score |
OR | Overhang Ratio |
RBF | Radial Basis Function |
RC | Reinforced Concrete |
ROC | Receiver Operating Characteristics |
RVS | Rapid Visual Screening |
SSI | Soft story Index |
SVM | Support Vector Machine |
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Damage State | Damage Grade |
---|---|
None | 0 |
Light | 1 |
Moderate | 2 |
Severe | 3 |
Collapse | 4 |
Kernel | Accuracy (in %) |
---|---|
RBF | 45 |
Sigmoid | 45 |
Linear | 45 |
Polynomial | 26 |
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Harirchian, E.; Lahmer, T.; Kumari, V.; Jadhav, K. Application of Support Vector Machine Modeling for the Rapid Seismic Hazard Safety Evaluation of Existing Buildings. Energies 2020, 13, 3340. https://doi.org/10.3390/en13133340
Harirchian E, Lahmer T, Kumari V, Jadhav K. Application of Support Vector Machine Modeling for the Rapid Seismic Hazard Safety Evaluation of Existing Buildings. Energies. 2020; 13(13):3340. https://doi.org/10.3390/en13133340
Chicago/Turabian StyleHarirchian, Ehsan, Tom Lahmer, Vandana Kumari, and Kirti Jadhav. 2020. "Application of Support Vector Machine Modeling for the Rapid Seismic Hazard Safety Evaluation of Existing Buildings" Energies 13, no. 13: 3340. https://doi.org/10.3390/en13133340
APA StyleHarirchian, E., Lahmer, T., Kumari, V., & Jadhav, K. (2020). Application of Support Vector Machine Modeling for the Rapid Seismic Hazard Safety Evaluation of Existing Buildings. Energies, 13(13), 3340. https://doi.org/10.3390/en13133340