# Inverse Problem on 2D Navier-Stokes (test) Source: [Inverse Problem on 2D Navier-Stokes (test)]() Collection index: [llms.txt]() Data updated: 2026-05-04T07:56:04.288Z Evaluation of models solving the Inverse Problem task on the 2D Navier-Stokes dataset using the test split, measured by Average Relative Error. 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 | Inverse Problem | | Dataset (including any stated split) | 2D Navier-Stokes (test) | | Metric | Average Relative Error | | Unit | SCALAR | | Direction | Lower is better | | Results loaded | 16 of 16 | | 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 Relative Error](): Lower is better; unit: SCALAR. ## Recorded results | Method | Average Relative Error | Result date | Report paper | | --- | --- | --- | --- | | Tik | 22.71 | Not recorded | 68fa48ee1e209131ce9335e5 | | Tik | 22.71 | Not recorded | 68fa48ee1e209131ce9335e5 | | TAEN | 24.54 | Not recorded | 68fa48ee1e209131ce9335e5 | | TAEN-Full | 24.54 | Not recorded | 68fa48ee1e209131ce9335e5 | | TAEN | 25.68 | Not recorded | 68fa48ee1e209131ce9335e5 | | TAEN-Full | 25.68 | Not recorded | 68fa48ee1e209131ce9335e5 | | mcOPO | 27.29 | Not recorded | 68fa48ee1e209131ce9335e5 | | mcOPO-Full | 27.29 | Not recorded | 68fa48ee1e209131ce9335e5 | | nOPO | 40.2 | Not recorded | 68fa48ee1e209131ce9335e5 | | mcOPO | 46.43 | Not recorded | 68fa48ee1e209131ce9335e5 | | mcOPO-Full | 46.43 | Not recorded | 68fa48ee1e209131ce9335e5 | | nPOP | 72.22 | Not recorded | 68fa48ee1e209131ce9335e5 | | mcPOP | 76.33 | Not recorded | 68fa48ee1e209131ce9335e5 | | nOPO | 103.94 | Not recorded | 68fa48ee1e209131ce9335e5 | | nPOP | 156.99 | Not recorded | 68fa48ee1e209131ce9335e5 | | mcPOP | 161.48 | Not recorded | 68fa48ee1e209131ce9335e5 | ### Tik Average Relative Error: 22.71. Result ID: 69f850ff47f34ce924dbcafa. [Reporting paper]() Recorded evaluation configuration: {"Number of training samples":"1"}. This record does not assert independent reproduction. ### Tik Average Relative Error: 22.71. Result ID: 69f850ff47f34ce924dbcafb. [Reporting paper]() Recorded evaluation configuration: {"Number of training samples":"100"}. This record does not assert independent reproduction. ### TAEN Average Relative Error: 24.54. Result ID: 69f850ff47f34ce924dbcaf7. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Number of training samples":"100"}. This record does not assert independent reproduction. ### TAEN-Full Average Relative Error: 24.54. Result ID: 69f850ff47f34ce924dbcaf9. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Number of training samples":"100"}. This record does not assert independent reproduction. ### TAEN Average Relative Error: 25.68. Result ID: 69f850ff47f34ce924dbcaf6. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Number of training samples":"1"}. This record does not assert independent reproduction. ### TAEN-Full Average Relative Error: 25.68. Result ID: 69f850ff47f34ce924dbcaf8. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Number of training samples":"1"}. This record does not assert independent reproduction. ### mcOPO Average Relative Error: 27.29. Result ID: 69f850ff47f34ce924dbcaf3. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Number of training samples":"100"}. This record does not assert independent reproduction. ### mcOPO-Full Average Relative Error: 27.29. Result ID: 69f850ff47f34ce924dbcaf5. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Number of training samples":"100"}. This record does not assert independent reproduction. ### nOPO Average Relative Error: 40.2. Result ID: 69f850ff47f34ce924dbcaef. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Number of training samples":"100"}. This record does not assert independent reproduction. ### mcOPO Average Relative Error: 46.43. Result ID: 69f850ff47f34ce924dbcaf2. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Number of training samples":"1"}. This record does not assert independent reproduction. ### mcOPO-Full Average Relative Error: 46.43. Result ID: 69f850ff47f34ce924dbcaf4. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Number of training samples":"1"}. This record does not assert independent reproduction. ### nPOP Average Relative Error: 72.22. Result ID: 69f850ff47f34ce924dbcaed. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Number of training samples":"100"}. This record does not assert independent reproduction. ### mcPOP Average Relative Error: 76.33. Result ID: 69f850ff47f34ce924dbcaf1. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Number of training samples":"100"}. This record does not assert independent reproduction. ### nOPO Average Relative Error: 103.94. Result ID: 69f850ff47f34ce924dbcaee. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Number of training samples":"1"}. This record does not assert independent reproduction. ### nPOP Average Relative Error: 156.99. Result ID: 69f850ff47f34ce924dbcaec. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Number of training samples":"1"}. This record does not assert independent reproduction. ### mcPOP Average Relative Error: 161.48. Result ID: 69f850ff47f34ce924dbcaf0. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Number of training samples":"1"}. This record does not assert independent reproduction. Page 1 of 1. This is an index page, not the full collection.