# Offline Multi-Objective Optimization on Off-MOO-Bench Synthetic

Source: [Offline Multi-Objective Optimization on Off-MOO-Bench Synthetic](<https://www.sota2.com/research/sota/offline-multi-objective-optimization-on-off-moo-bench-synthetic>)

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

Data updated: 2026-06-16T07:29:18.475Z

Evaluation of Offline Multi-Objective Optimization algorithms specifically on the synthetic test cases provided by the Off-MOO-Bench suite, measured using the Average IGDoffline rank 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 | Offline Multi-Objective Optimization |
| Dataset (including any stated split) | Off-MOO-Bench Synthetic |
| Metric | Average IGDoffline Rank |
| Unit | SCALAR |
| Direction | Lower is better |
| Results loaded | 18 of 18 |
| 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

- [Average IGDoffline Rank](<https://www.sota2.com/research/sota/offline-multi-objective-optimization-on-off-moo-bench-synthetic.md?metric=Average%20IGDoffline%20Rank>): Lower is better; unit: SCALAR.

## Recorded results

| Method | Average IGDoffline Rank | Result date | Report paper |
| --- | --- | --- | --- |
| DOMOO | 5.66 | Not recorded | 6a30d870d33dfb23e783cb11 |
| Multiple Models | 5.75 | Not recorded | 6a30d870d33dfb23e783cb11 |
| End-to-End + PcGrad | 6.4 | Not recorded | 6a30d870d33dfb23e783cb11 |
| Multi Head | 6.88 | Not recorded | 6a30d870d33dfb23e783cb11 |
| Multiple Models + IOM | 7.02 | Not recorded | 6a30d870d33dfb23e783cb11 |
| End-to-End | 7.38 | Not recorded | 6a30d870d33dfb23e783cb11 |
| Multi Head + PcGrad | 7.83 | Not recorded | 6a30d870d33dfb23e783cb11 |
| D(best) | 8.11 | Not recorded | 6a30d870d33dfb23e783cb11 |
| MultipleModels + COMs | 8.57 | Not recorded | 6a30d870d33dfb23e783cb11 |
| ParetoFlow | 8.63 | Not recorded | 6a30d870d33dfb23e783cb11 |
| Multiple Models + ICT | 8.81 | Not recorded | 6a30d870d33dfb23e783cb11 |
| Multiple Models + Tri-Mentoring | 9.77 | Not recorded | 6a30d870d33dfb23e783cb11 |
| Multiple Models + RoMA | 10.45 | Not recorded | 6a30d870d33dfb23e783cb11 |
| Multi Head + GradNorm | 10.56 | Not recorded | 6a30d870d33dfb23e783cb11 |
| MOBO-qParEGO | 10.82 | Not recorded | 6a30d870d33dfb23e783cb11 |
| MOBO | 10.85 | Not recorded | 6a30d870d33dfb23e783cb11 |
| End-to-End + GradNorm | 12.01 | Not recorded | 6a30d870d33dfb23e783cb11 |
| MOBO-JES | 14.58 | Not recorded | 6a30d870d33dfb23e783cb11 |

### DOMOO

Average IGDoffline Rank: 5.66. Result ID: 6a30fb37fbc373592c2cd373.

[Reporting paper](<https://www.sota2.com/research/paper/6a30d870d33dfb23e783cb11.md>)

[Method origin paper](<https://www.sota2.com/research/paper/6a30d870d33dfb23e783cb11.md>)

Recorded evaluation configuration: {"Number of solutions":"256","Percentile":"50th"}. This record does not assert independent reproduction.

### Multiple Models

Average IGDoffline Rank: 5.75. Result ID: 6a30fb37fbc373592c2cd369.

[Reporting paper](<https://www.sota2.com/research/paper/6a30d870d33dfb23e783cb11.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa738c1e209131cea5d25f.md>)

Recorded evaluation configuration: {"Number of solutions":"256","Percentile":"50th"}. This record does not assert independent reproduction.

### End-to-End + PcGrad

Average IGDoffline Rank: 6.4. Result ID: 6a30fb37fbc373592c2cd365.

[Reporting paper](<https://www.sota2.com/research/paper/6a30d870d33dfb23e783cb11.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa68fb1e209131cea1f828.md>)

Recorded evaluation configuration: {"Number of solutions":"256","Percentile":"50th"}. This record does not assert independent reproduction.

### Multi Head

Average IGDoffline Rank: 6.88. Result ID: 6a30fb37fbc373592c2cd366.

[Reporting paper](<https://www.sota2.com/research/paper/6a30d870d33dfb23e783cb11.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa738c1e209131cea5d25f.md>)

Recorded evaluation configuration: {"Number of solutions":"256","Percentile":"50th"}. This record does not assert independent reproduction.

### Multiple Models + IOM

Average IGDoffline Rank: 7.02. Result ID: 6a30fb37fbc373592c2cd36c.

[Reporting paper](<https://www.sota2.com/research/paper/6a30d870d33dfb23e783cb11.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa6e091e209131cea3d97d.md>)

[Implementation](<https://sites.google.com/view/iom-neurips>)

Recorded evaluation configuration: {"Number of solutions":"256","Percentile":"50th"}. This record does not assert independent reproduction.

### End-to-End

Average IGDoffline Rank: 7.38. Result ID: 6a30fb37fbc373592c2cd363.

[Reporting paper](<https://www.sota2.com/research/paper/6a30d870d33dfb23e783cb11.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa738c1e209131cea5d25f.md>)

Recorded evaluation configuration: {"Number of solutions":"256","Percentile":"50th"}. This record does not assert independent reproduction.

### Multi Head + PcGrad

Average IGDoffline Rank: 7.83. Result ID: 6a30fb37fbc373592c2cd368.

[Reporting paper](<https://www.sota2.com/research/paper/6a30d870d33dfb23e783cb11.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa68fb1e209131cea1f828.md>)

Recorded evaluation configuration: {"Number of solutions":"256","Percentile":"50th"}. This record does not assert independent reproduction.

### D(best)

Average IGDoffline Rank: 8.11. Result ID: 6a30fb37fbc373592c2cd362.

[Reporting paper](<https://www.sota2.com/research/paper/6a30d870d33dfb23e783cb11.md>)

Recorded evaluation configuration: {"Number of solutions":"256","Percentile":"50th"}. This record does not assert independent reproduction.

### MultipleModels + COMs

Average IGDoffline Rank: 8.57. Result ID: 6a30fb37fbc373592c2cd36a.

[Reporting paper](<https://www.sota2.com/research/paper/6a30d870d33dfb23e783cb11.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa6a5f1e209131cea27cd2.md>)

Recorded evaluation configuration: {"Number of solutions":"256","Percentile":"50th"}. This record does not assert independent reproduction.

### ParetoFlow

Average IGDoffline Rank: 8.63. Result ID: 6a30fb37fbc373592c2cd372.

[Reporting paper](<https://www.sota2.com/research/paper/6a30d870d33dfb23e783cb11.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa77101e209131cea70e60.md>)

Recorded evaluation configuration: {"Number of solutions":"256","Percentile":"50th"}. This record does not assert independent reproduction.

### Multiple Models + ICT

Average IGDoffline Rank: 8.81. Result ID: 6a30fb37fbc373592c2cd36d.

[Reporting paper](<https://www.sota2.com/research/paper/6a30d870d33dfb23e783cb11.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa70cd1e209131cea4d3d1.md>)

Recorded evaluation configuration: {"Number of solutions":"256","Percentile":"50th"}. This record does not assert independent reproduction.

### Multiple Models + Tri-Mentoring

Average IGDoffline Rank: 9.77. Result ID: 6a30fb37fbc373592c2cd36e.

[Reporting paper](<https://www.sota2.com/research/paper/6a30d870d33dfb23e783cb11.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa70cd1e209131cea4d3d0.md>)

Recorded evaluation configuration: {"Number of solutions":"256","Percentile":"50th"}. This record does not assert independent reproduction.

### Multiple Models + RoMA

Average IGDoffline Rank: 10.45. Result ID: 6a30fb37fbc373592c2cd36b.

[Reporting paper](<https://www.sota2.com/research/paper/6a30d870d33dfb23e783cb11.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa6b171e209131cea2c165.md>)

Recorded evaluation configuration: {"Number of solutions":"256","Percentile":"50th"}. This record does not assert independent reproduction.

### Multi Head + GradNorm

Average IGDoffline Rank: 10.56. Result ID: 6a30fb37fbc373592c2cd367.

[Reporting paper](<https://www.sota2.com/research/paper/6a30d870d33dfb23e783cb11.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa649d1e209131cea0597c.md>)

Recorded evaluation configuration: {"Number of solutions":"256","Percentile":"50th"}. This record does not assert independent reproduction.

### MOBO-qParEGO

Average IGDoffline Rank: 10.82. Result ID: 6a30fb37fbc373592c2cd370.

[Reporting paper](<https://www.sota2.com/research/paper/6a30d870d33dfb23e783cb11.md>)

Recorded evaluation configuration: {"Number of solutions":"256","Percentile":"50th"}. This record does not assert independent reproduction.

### MOBO

Average IGDoffline Rank: 10.85. Result ID: 6a30fb37fbc373592c2cd36f.

[Reporting paper](<https://www.sota2.com/research/paper/6a30d870d33dfb23e783cb11.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa738c1e209131cea5d25f.md>)

Recorded evaluation configuration: {"Number of solutions":"256","Percentile":"50th"}. This record does not assert independent reproduction.

### End-to-End + GradNorm

Average IGDoffline Rank: 12.01. Result ID: 6a30fb37fbc373592c2cd364.

[Reporting paper](<https://www.sota2.com/research/paper/6a30d870d33dfb23e783cb11.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa649d1e209131cea0597c.md>)

Recorded evaluation configuration: {"Number of solutions":"256","Percentile":"50th"}. This record does not assert independent reproduction.

### MOBO-JES

Average IGDoffline Rank: 14.58. Result ID: 6a30fb37fbc373592c2cd371.

[Reporting paper](<https://www.sota2.com/research/paper/6a30d870d33dfb23e783cb11.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa6e5a1e209131cea3f4f2.md>)

Recorded evaluation configuration: {"Number of solutions":"256","Percentile":"50th"}. This record does not assert independent reproduction.

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