Related Experiment Video
Updated: Jul 23, 2025

Surrogate Model Development for Digital Experiments in Welding
Published on: March 28, 2025
A Regularized Regression Thermal Error Modeling Method for CNC Machine Tools under Different Ambient Temperatures and
Xinyuan Wei1, Honghan Ye2, Jinghuan Zhou1
1School of Electrical and Information Engineering, Anhui University of Technology, Ma'anshan 230009, China.
This study introduces a simpler regularized regression model for predicting CNC machine tool thermal errors, outperforming complex deep learning methods in accuracy and robustness.
Area of Science:
- Manufacturing Engineering
- Metrology
- Machine Learning
Background:
- Thermal errors significantly impact CNC machine tool precision.
- Existing deep learning models for thermal error prediction are complex and data-intensive.
- Interpretability and practical implementation remain challenges in current methods.
Purpose of the Study:
- To propose a novel, interpretable, and practical regularized regression algorithm for CNC machine tool thermal error modeling.
- To enable automatic selection of temperature-sensitive variables for improved model efficiency.
- To demonstrate superior performance compared to existing state-of-the-art algorithms.
Main Methods:
- Utilized least absolute regression combined with two regularization techniques.
- Developed a simplified model structure for ease of implementation and interpretability.
- Implemented automatic temperature-sensitive variable selection.
- Compared prediction accuracy and robustness against deep learning algorithms.
Main Results:
- The proposed regularized regression model achieved the highest prediction accuracy.
- The method demonstrated superior robustness compared to existing algorithms.
- Automatic variable selection enhanced model efficiency.
- Compensation experiments confirmed the model's practical effectiveness.
Conclusions:
- The proposed regularized regression algorithm offers an effective and interpretable solution for CNC machine tool thermal error modeling.
- This approach provides a practical alternative to complex deep learning methods, requiring less data and offering better insights.
- The validated effectiveness paves the way for improved precision in CNC machining operations.
Related Concept Videos
Thermal expansion and Thermal stress: Problem Solving
To solve the problem, first, identify the known and unknown quantities. The initial length (L) of the bridge is 1275 m, the coefficient of linear expansion (α) for steel is 12 x 10-6/°C, and the change in...
Thermal Stress
Mechanistic Models: Compartment Models in Algorithms for Numerical Problem Solving
In individual population analyses, different algorithms are employed, such as Cauchy's method, which uses a...
Mechanical Efficiency of Real Machines
However, in reality, no machine can be truly ideal, and all of them experience some...
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:
Multimachine Stability
In analyzing the system, the nodal equations represent the relationship between bus voltages, machine voltages, and machine currents. The nodal equation is given by:

