https://github.com/tomtkg/pareto-front-estimation

Pareto Front Estimation Using Unit Hyperplane
https://github.com/tomtkg/pareto-front-estimation

estimation kriging matlab multi-objective-optimization response-surface-methodology visualization

Last synced: 4 months ago
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Pareto Front Estimation Using Unit Hyperplane

• Host: GitHub
• URL: https://github.com/tomtkg/pareto-front-estimation
• Owner: tomtkg
• License: mit
• Created: 2023-06-11T13:30:39.000Z (about 2 years ago)
• Default Branch: main
• Last Pushed: 2024-06-08T17:09:03.000Z (about 1 year ago)
• Last Synced: 2024-06-08T18:27:26.549Z (about 1 year ago)
• Topics: estimation, kriging, matlab, multi-objective-optimization, response-surface-methodology, visualization
• Language: MATLAB
• Homepage:
• Size: 44.7 MB
• Stars: 1
• Watchers: 1
• Forks: 0
• Open Issues: 0
• Metadata Files:
  • Readme: README.md
  • License: LICENSE

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README

        
# Pareto Front Estimation Using Unit Hyperplane

[![Open in MATLAB Online](https://www.mathworks.com/images/responsive/global/open-in-matlab-online.svg)](https://matlab.mathworks.com/open/github/v1?repo=tomtkg/Pareto-Front-Estimation)

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## How to use

PFE.m is main file. You can execute PFE.m like

```

>> PFE

```

or

```

matlab -batch PFE

```

* EMO2021 version: the input is a vector with the dimension of the objective number - 1.

* Doctoral thesis version: the input is a vector with the same dimensions as the objective number.

# Sample images

||||

|:-:|:-:|:-:|

|![image](Data/png/D6SLD.png)|![image](Data/png/D6ILD.png)|![image](Data/png/D6UDH.png)|

|Simpex-lattice|Incremental lattice|Hammersley method|

## Reference

* Tomoaki Takagi, Keiki Takadama, and Hiroyuki Sato: **Pareto Front Estimation Using Unit Hyperplane**, Proc. of The 11th Edition of International Conference Series on Evolutionary Multi-Criterion Optimization (EMO2021), Lecture Notes in Computer Science (LNCS), Vol. 12654, Springer, Cham, pp. 126–138, 2021. [DOI](https://doi.org/10.1007/978-3-030-72062-9_11).

* Tomoaki Takagi: **Pareto Front Estimation for Multi-Objective Decision-Making and Supervised/Unsupervised Multi-Objective Optimization**, Ph.D. thesis, The University of Electro-Communications, March 2023. [DOI](http://doi.org/10.18952/00010335).