# Offline Multi-Objective Optimization on Off-MOO-Bench Synthetic (50th percentile) Source: [Offline Multi-Objective Optimization on Off-MOO-Bench Synthetic (50th percentile)]() Collection index: [llms.txt]() Data updated: 2026-06-16T07:29:18.660Z Evaluation of Offline Multi-Objective Optimization algorithms specifically on the 50th percentile synthetic test cases provided by the Off-MOO-Bench suite, measured using the Average HV 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 (50th percentile) | | Metric | Average HV 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 HV Rank](): Lower is better; unit: SCALAR. ## Recorded results | Method | Average HV Rank | Result date | Report paper | | --- | --- | --- | --- | | DOMOO | 4.75 | Not recorded | 6a30d870d33dfb23e783cb11 | | Multiple Models | 5.24 | Not recorded | 6a30d870d33dfb23e783cb11 | | Multi Head | 6.45 | Not recorded | 6a30d870d33dfb23e783cb11 | | End-to-End | 6.83 | Not recorded | 6a30d870d33dfb23e783cb11 | | End-to-End + PcGrad | 6.88 | Not recorded | 6a30d870d33dfb23e783cb11 | | Multiple Models + IOM | 7.21 | Not recorded | 6a30d870d33dfb23e783cb11 | | Multi Head + PcGrad | 7.83 | Not recorded | 6a30d870d33dfb23e783cb11 | | Multiple Models + ICT | 8.62 | Not recorded | 6a30d870d33dfb23e783cb11 | | Multiple Models + COM | 8.9 | Not recorded | 6a30d870d33dfb23e783cb11 | | D(best) | 9.45 | Not recorded | 6a30d870d33dfb23e783cb11 | | Multiple Models + Tri-Mentoring | 9.54 | Not recorded | 6a30d870d33dfb23e783cb11 | | ParetoFlow | 9.58 | Not recorded | 6a30d870d33dfb23e783cb11 | | Multiple Models + RoMA | 10.41 | Not recorded | 6a30d870d33dfb23e783cb11 | | Multi Head + GradNorm | 10.74 | Not recorded | 6a30d870d33dfb23e783cb11 | | End-to-End + GradNorm | 11.73 | Not recorded | 6a30d870d33dfb23e783cb11 | | MOBO-qParEGO | 12.26 | Not recorded | 6a30d870d33dfb23e783cb11 | | MOBO | 12.4 | Not recorded | 6a30d870d33dfb23e783cb11 | | MOBO-JES | 15.25 | Not recorded | 6a30d870d33dfb23e783cb11 | ### DOMOO Average HV Rank: 4.75. Result ID: 6a30fb37fbc373592c2cd3da. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Evaluation percentile":"50th"}. This record does not assert independent reproduction. ### Multiple Models Average HV Rank: 5.24. Result ID: 6a30fb37fbc373592c2cd3d0. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Evaluation percentile":"50th"}. This record does not assert independent reproduction. ### Multi Head Average HV Rank: 6.45. Result ID: 6a30fb37fbc373592c2cd3cd. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Evaluation percentile":"50th"}. This record does not assert independent reproduction. ### End-to-End Average HV Rank: 6.83. Result ID: 6a30fb37fbc373592c2cd3ca. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Evaluation percentile":"50th"}. This record does not assert independent reproduction. ### End-to-End + PcGrad Average HV Rank: 6.88. Result ID: 6a30fb37fbc373592c2cd3cc. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Evaluation percentile":"50th"}. This record does not assert independent reproduction. ### Multiple Models + IOM Average HV Rank: 7.21. Result ID: 6a30fb37fbc373592c2cd3d3. [Reporting paper]() [Method origin paper]() [Implementation]() Recorded evaluation configuration: {"Evaluation percentile":"50th"}. This record does not assert independent reproduction. ### Multi Head + PcGrad Average HV Rank: 7.83. Result ID: 6a30fb37fbc373592c2cd3cf. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Evaluation percentile":"50th"}. This record does not assert independent reproduction. ### Multiple Models + ICT Average HV Rank: 8.62. Result ID: 6a30fb37fbc373592c2cd3d4. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Evaluation percentile":"50th"}. This record does not assert independent reproduction. ### Multiple Models + COM Average HV Rank: 8.9. Result ID: 6a30fb37fbc373592c2cd3d1. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Evaluation percentile":"50th"}. This record does not assert independent reproduction. ### D(best) Average HV Rank: 9.45. Result ID: 6a30fb37fbc373592c2cd3c9. [Reporting paper]() Recorded evaluation configuration: {"Evaluation percentile":"50th"}. This record does not assert independent reproduction. ### Multiple Models + Tri-Mentoring Average HV Rank: 9.54. Result ID: 6a30fb37fbc373592c2cd3d5. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Evaluation percentile":"50th"}. This record does not assert independent reproduction. ### ParetoFlow Average HV Rank: 9.58. Result ID: 6a30fb37fbc373592c2cd3d9. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Evaluation percentile":"50th"}. This record does not assert independent reproduction. ### Multiple Models + RoMA Average HV Rank: 10.41. Result ID: 6a30fb37fbc373592c2cd3d2. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Evaluation percentile":"50th"}. This record does not assert independent reproduction. ### Multi Head + GradNorm Average HV Rank: 10.74. Result ID: 6a30fb37fbc373592c2cd3ce. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Evaluation percentile":"50th"}. This record does not assert independent reproduction. ### End-to-End + GradNorm Average HV Rank: 11.73. Result ID: 6a30fb37fbc373592c2cd3cb. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Evaluation percentile":"50th"}. This record does not assert independent reproduction. ### MOBO-qParEGO Average HV Rank: 12.26. Result ID: 6a30fb37fbc373592c2cd3d7. [Reporting paper]() Recorded evaluation configuration: {"Evaluation percentile":"50th"}. This record does not assert independent reproduction. ### MOBO Average HV Rank: 12.4. Result ID: 6a30fb37fbc373592c2cd3d6. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Evaluation percentile":"50th"}. This record does not assert independent reproduction. ### MOBO-JES Average HV Rank: 15.25. Result ID: 6a30fb37fbc373592c2cd3d8. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Evaluation percentile":"50th"}. This record does not assert independent reproduction. Page 1 of 1. This is an index page, not the full collection.