# Multi-objective Optimization on Inverted DTLZ2 5 objectives

Source: [Multi-objective Optimization on Inverted DTLZ2 5 objectives](<https://www.sota2.com/research/sota/multi-objective-optimization-on-inverted-dtlz2-5-objectives>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2026-04-13T09:57:00.424Z

Evaluation of multi-objective optimization algorithms on the Inverted DTLZ2 test suite configured with 5 objectives, assessed using the Hypervolume (HV) metric.

A research result applies to its stated dataset, split, metric and evaluation configuration. Compare like-for-like settings, preserve the metric's unit and direction, and distinguish paper-reported results from independent reproduction. The best result recorded here is not a claim of exhaustive, current global coverage.

| Scope | Recorded value |
| --- | --- |
| Task | Multi-objective Optimization |
| Dataset (including any stated split) | Inverted DTLZ2 5 objectives |
| Metric | Hypervolume (HV) |
| Unit | SCALAR |
| Direction | Higher is better |
| Results loaded | 6 of 6 |
| Coverage | All results currently returned for this benchmark |

Evaluation settings may differ between results. The original papers and recorded configurations are needed to establish comparability. A shared metric name alone does not establish an identical protocol.

## Metrics

- [Hypervolume (HV)](<https://www.sota2.com/research/sota/multi-objective-optimization-on-inverted-dtlz2-5-objectives.md?metric=Hypervolume%20(HV)>): Higher is better; unit: SCALAR.

## Recorded results

| Method | Hypervolume (HV) | Result date | Report paper |
| --- | --- | --- | --- |
| Sobol | 9.5 | Not recorded | 69dc78a17d0172140ec78bea |
| EHVI | 6.1 | Not recorded | 69dc78a17d0172140ec78bea |
| SPMO | 5.9 | Not recorded | 69dc78a17d0172140ec78bea |
| ParEGO | 5 | Not recorded | 69dc78a17d0172140ec78bea |
| TS-TCH | 5 | Not recorded | 69dc78a17d0172140ec78bea |
| JES | 4.7 | Not recorded | 69dc78a17d0172140ec78bea |

### Sobol

Hypervolume (HV): 9.5. Result ID: 69dcbdd447f34ce924c41ffe.

[Reporting paper](<https://www.sota2.com/research/paper/69dc78a17d0172140ec78bea.md>)

Recorded evaluation configuration: {"Batch size (q)":"5","Number of objectives":"5","Independent runs":"30"}. This record does not assert independent reproduction.

### EHVI

Hypervolume (HV): 6.1. Result ID: 69dcbdd447f34ce924c42001.

[Reporting paper](<https://www.sota2.com/research/paper/69dc78a17d0172140ec78bea.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa578b1e209131ce9a64a4.md>)

Recorded evaluation configuration: {"Batch size (q)":"5","Number of objectives":"5","Independent runs":"30"}. This record does not assert independent reproduction.

### SPMO

Hypervolume (HV): 5.9. Result ID: 69dcbdd447f34ce924c42003.

[Reporting paper](<https://www.sota2.com/research/paper/69dc78a17d0172140ec78bea.md>)

[Method origin paper](<https://www.sota2.com/research/paper/69dc78a17d0172140ec78bea.md>)

Recorded evaluation configuration: {"Batch size (q)":"5","Number of objectives":"5","Independent runs":"30"}. This record does not assert independent reproduction.

### ParEGO

Hypervolume (HV): 5. Result ID: 69dcbdd447f34ce924c41fff.

[Reporting paper](<https://www.sota2.com/research/paper/69dc78a17d0172140ec78bea.md>)

Recorded evaluation configuration: {"Batch size (q)":"5","Number of objectives":"5","Independent runs":"30"}. This record does not assert independent reproduction.

### TS-TCH

Hypervolume (HV): 5. Result ID: 69dcbdd447f34ce924c42000.

[Reporting paper](<https://www.sota2.com/research/paper/69dc78a17d0172140ec78bea.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa65f61e209131cea0d7e7.md>)

Recorded evaluation configuration: {"Batch size (q)":"5","Number of objectives":"5","Independent runs":"30"}. This record does not assert independent reproduction.

### JES

Hypervolume (HV): 4.7. Result ID: 69dcbdd447f34ce924c42002.

[Reporting paper](<https://www.sota2.com/research/paper/69dc78a17d0172140ec78bea.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa59ad1e209131ce9b952f.md>)

[Implementation](<https://github.com/benmltu/JES>)

Recorded evaluation configuration: {"Batch size (q)":"5","Number of objectives":"5","Independent runs":"30"}. This record does not assert independent reproduction.

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