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Description of Software and Data

The code and data in the zip file referenced above are a snapshot of the software and data that were used in the research reported in the paper "Gaussian Process Controlled B-Spline Surface" by Yongxiang Li, Yu Tian, Huadong Mo and Shichang Du. This repository is also available via GitHub.

The goal of this repository is to replicate the numerical experiments in the paper.

Computer and Software Environment

Numerical examples are run by Matlab 2023b on a computer with a Xeon CPU (Platinum 8358) and 32GB of memory.

Dependencies

• Statistics and Machine Learning Toolbox

Installation

1. Download the reproducibility package ZIP file
2. Unzip the folder. The top-level directory contains:
   /Example/                
   /Regression_example/        
/Optimization_example/   
/routines/   
3. Open MATLAB R2023b 
4. Add the entire folder to the MATLAB path
5. Run any script listed in the reproducibility workflow table.

Reproducibility Workflow

To reproduce the results in Table 1

• Data File: None
• Code File: /Example/Example1.m
• Output: The results stated in Table 1
• Run Time at the Above-Specified Computer Conditions: 1 hour

To reproduce the results in Table 2

• Data File: None
• Code File: /Example/Example2.m
• Output: The results stated in Table 2
• Run Time at the Above-Specified Computer Conditions: 1 minute

To reproduce the results in Figure 1

• Data Files: None
• Code File: /Example/Example3_1.m, and /Example/Example3_2.m
• Output: The results shown in Figure 1
• Run Time at the Above-Specified Computer Conditions: 10 minutes

To reproduce the results in Figure 3

• Data Files: None
• Code File: /Regression_example/test_camel_50000.m, and /Regression_example/test_camel_100000.m
• Output: The results shown in Figure 3
• Run Time at the Above-Specified Computer Conditions: 20 minutes

To reproduce the results in Figure 4

• Data Files: /Regression_example/output.csv
• Code File: /Regression_example/test_forest_50000.m, and /Regression_example/test_forest_100000.m
• Output: The results shown in Figure 4
• Run Time at the Above-Specified Computer Conditions: 2 hours

To reproduce the results in Figure 10

• Data Files: /Optimization_example/Hills_data.mat
• Code File: /Optimization_example/test_RMSE.m
• Output: The results of optimization case 1 shown in Figure 10
• Run Time at the Above-Specified Computer Conditions: 15 minutes

To reproduce the results in Figure 8/9

• Data Files: None
• Code File: /Optimization_example/test_batch.m, /Optimization_example/test_EI.m, and /Optimization_example/test_UCB.m
• Output: The results of optimization case 1 shown in Figure 8-9
• Run Time at the Above-Specified Computer Conditions: 15 hours

Cite

To cite the contents of this repository, please cite both the paper and this repository using their respective DOIs.

Article: https://doi.org/10.1287/ijds.2024.0061
Software and Data Repository: https://doi.org/10.1287/ijds.2024.0061.cd

License

Copyright (c) (2025 Li, Tian, Mo, and Du)

Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions:

The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software.

THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.