Prediction of Rockfill Materials' Shear Strength Using Various Kernel Function-Based Regression Models-A Comparative
Mahmood Ahmad1,2, Ramez A Al-Mansob1, Irfan Jamil3
1Department of Civil Engineering, Faculty of Engineering, International Islamic University Malaysia, Jalan Gombak 50728, Selangor, Malaysia.
Materials (Basel, Switzerland)
|March 10, 2022
Summary
Gaussian Process Regression (GPR) models accurately predict rockfill material shear strength. The Pearson Universal Kernel (PUK) model demonstrated superior performance, ensuring safer dam designs.
Area of Science:
- Geotechnical Engineering
- Computational Mechanics
- Materials Science
Background:
- Safe and cost-effective design of embankment dams requires understanding the mechanical behavior of rockfill materials (RFMs).
- Characterizing RFMs, especially those with large particles (>500 mm), is challenging and expensive due to their complex shear strength properties.
Purpose of the Study:
- To investigate the efficacy of various kernel function-based Gaussian Process Regression (GPR) models for predicting the shear strength of RFMs.
- To identify the most effective GPR model for accurate shear strength estimation in RFMs.
Main Methods:
- Utilized 165 datasets from existing literature to train and test Gaussian Process Regression (GPR) models.
- Compared multiple GPR models employing different kernel functions, with a focus on the Pearson Universal Kernel (PUK).
- Evaluated model performance using metrics such as R-squared (R²), correlation coefficient (r), Mean Absolute Error (MAE), and Root Mean Square Error (RMSE).
Main Results:
- The Pearson Universal Kernel (PUK) based GPR model achieved high accuracy in predicting RFM shear strength.
- During the training phase, the PUK model yielded R² = 0.9806 and r = 0.9903.
- In the testing phase, the PUK model maintained strong performance with R² = 0.9455 and r = 0.9724, demonstrating its robustness.
Conclusions:
- The GPR-PUK model is a feasible and effective tool for predicting the shear strength of rockfill materials.
- The model's accurate predictions support safer and more cost-effective designs for embankment dams.
- This approach offers a promising alternative to traditional, often costly, methods of RFM characterization.
Related Concept Videos
Relation Between the Distributed Load and Shear
808
Understanding the relationship between the distributed load and shear force in structural analysis is crucial for analyzing beams subjected to various loading conditions. Consider the case of a beam experiencing a distributed load, two concentrated loads, and a couple moment.
808
Regression Analysis
6.2K
Regression analysis is a statistical tool that describes a mathematical relationship between a dependent variable and one or more independent variables.
In regression analysis, a regression equation is determined based on the line of best fit– a line that best fits the data points plotted in a graph. This line is also called the regression line. The algebraic equation for the regression line is called the regression equation. It is represented as:
In regression analysis, a regression equation is determined based on the line of best fit– a line that best fits the data points plotted in a graph. This line is also called the regression line. The algebraic equation for the regression line is called the regression equation. It is represented as:
6.2K
Elastic Strain Energy for Shearing Stresses
311
As discussed in previous lessons, strain energy in a material is the energy stored when it is elastically deformed, a concept crucial in materials science and mechanical engineering. This energy results from the internal work done against the cohesive forces within the material. When a material undergoes shearing stress and corresponding shearing strain, the strain energy density, which is the energy stored per unit volume, is calculated. Within the elastic limit, where the stress is...
311
Residuals and Least-Squares Property
7.9K
The vertical distance between the actual value of y and the estimated value of y. In other words, it measures the vertical distance between the actual data point and the predicted point on the line
If the observed data point lies above the line, the residual is positive, and the line underestimates the actual data value for y. If the observed data point lies below the line, the residual is negative, and the line overestimates the actual data value for y.
The process of fitting the best-fit...
If the observed data point lies above the line, the residual is positive, and the line underestimates the actual data value for y. If the observed data point lies below the line, the residual is negative, and the line overestimates the actual data value for y.
The process of fitting the best-fit...
7.9K
Multiple Regression
3.2K
Multiple regression assesses a linear relationship between one response or dependent variable and two or more independent variables. It has many practical applications.
Farmers can use multiple regression to determine the crop yield based on more than one factor, such as water availability, fertilizer, soil properties, etc. Here, the crop yield is the response or dependent variable as it depends on the other independent variables. The analysis requires the construction of a scatter plot...
Farmers can use multiple regression to determine the crop yield based on more than one factor, such as water availability, fertilizer, soil properties, etc. Here, the crop yield is the response or dependent variable as it depends on the other independent variables. The analysis requires the construction of a scatter plot...
3.2K
Regression Toward the Mean
6.5K
Regression toward the mean (“RTM”) is a phenomenon in which extremely high or low values—for example, and individual’s blood pressure at a particular moment—appear closer to a group’s average upon remeasuring. Although this statistical peculiarity is the result of random error and chance, it has been problematic across various medical, scientific, financial and psychological applications. In particular, RTM, if not taken into account, can interfere when...
6.5K


