Related Experiment Video
Updated: Sep 15, 2025

Development of an Individual-Tree Basal Area Increment Model using a Linear Mixed-Effects Approach
Published on: July 3, 2020
Prediction of loess collapsibility coefficient using bayesian optimized random forest model
Wan Zhang1, Jiangtao Guo1, Zhaopeng Li1
1College of Architecture Engineering, Yangling Vocational & Technical College, Yangling, 712100, Shaanxi, China.
Abstract:
Accurately predicting the collapsibility coefficient of loess is crucial for mitigating the hazards associated with loess collapsibility in engineering projects, natural environment, and socio-economic activities. The traditional method for determining the collapsibility coefficient is time-consuming, labor-intensive, and expensive. In recent years, researchers have increasingly employed machine learning techniques to predict collapsibility coefficient and have obtained promising results. However, the process of hyperparameter optimization in previous studies was not sufficiently comprehensive, leading to suboptimal model performance. Therefore, in this study, Bayesian optimization was employed to fine-tune the hyperparameters of six different regressors, and the performance of these models was evaluated on both a training set and an independent testing set. The results demonstrated that the Random Forest-based model achieved the best performance, with R² values of 0.915 and 0.965 on the training and independent testing sets, respectively. These findings indicate that the proposed model is capable of reliably predicting the collapsibility coefficient of loess.
Related Concept Videos
Survival Tree
Building a Survival Tree
Constructing a...
Prediction Intervals
However, the point estimate is most likely not the exact value of the population parameter, but close to it. After calculating point estimates, we construct interval estimates, called confidence intervals or prediction intervals. This prediction interval comprises a range of values unlike the point estimate and is a better predictor of the observed sample value, y.
Residuals and Least-Squares Property
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...
Expected Frequencies in Goodness-of-Fit Tests
Goodness-of-Fit Test
Regression Analysis
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:

