# Operator Learning on 1D Kuramoto-Sivashinsky ν = 0.075 (test) Source: [Operator Learning on 1D Kuramoto-Sivashinsky ν = 0.075 (test)]() Collection index: [llms.txt]() Data updated: 2026-03-09T06:49:17.493Z Evaluation of Operator Learning models on the 1D Kuramoto-Sivashinsky Partial Differential Equation (PDE) variant with viscosity parameter ν = 0.075, tested on the test split. 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 | Operator Learning | | Dataset (including any stated split) | 1D Kuramoto-Sivashinsky ν = 0.075 (test) | | Metric | Time (ms) | | Unit | TIME | | Direction | Lower is better | | Results loaded | 25 of 25 | | 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 - [Time (ms)](): Lower is better; unit: TIME. - [GFLOPs](): Lower is better; unit: SIZE. ## Recorded results | Method | Time (ms) | Result date | Report paper | | --- | --- | --- | --- | | SS-NO | 0.8 | Not recorded | 68fa7ba31e209131cea898b7 | | SS-NO | 0.81 | Not recorded | 68fa7ba31e209131cea898b7 | | SS-NO | 0.81 | Not recorded | 68fa7ba31e209131cea898b7 | | SS-NO | 0.81 | Not recorded | 68fa7ba31e209131cea898b7 | | SS-NO | 0.82 | Not recorded | 68fa7ba31e209131cea898b7 | | U-Net | 1.22 | Not recorded | 68fa7ba31e209131cea898b7 | | U-Net | 1.24 | Not recorded | 68fa7ba31e209131cea898b7 | | U-Net | 1.24 | Not recorded | 68fa7ba31e209131cea898b7 | | U-Net | 1.25 | Not recorded | 68fa7ba31e209131cea898b7 | | U-Net | 1.29 | Not recorded | 68fa7ba31e209131cea898b7 | | FFNO | 1.35 | Not recorded | 68fa7ba31e209131cea898b7 | | FFNO | 1.35 | Not recorded | 68fa7ba31e209131cea898b7 | | FFNO | 1.35 | Not recorded | 68fa7ba31e209131cea898b7 | | FFNO | 1.37 | Not recorded | 68fa7ba31e209131cea898b7 | | FFNO | 1.39 | Not recorded | 68fa7ba31e209131cea898b7 | | GKT | 2.25 | Not recorded | 68fa7ba31e209131cea898b7 | | GKT | 2.26 | Not recorded | 68fa7ba31e209131cea898b7 | | GKT | 2.26 | Not recorded | 68fa7ba31e209131cea898b7 | | GKT | 2.26 | Not recorded | 68fa7ba31e209131cea898b7 | | GKT | 2.3 | Not recorded | 68fa7ba31e209131cea898b7 | | FactFormer | 3.36 | Not recorded | 68fa7ba31e209131cea898b7 | | FactFormer | 3.37 | Not recorded | 68fa7ba31e209131cea898b7 | | FactFormer | 3.38 | Not recorded | 68fa7ba31e209131cea898b7 | | FactFormer | 3.39 | Not recorded | 68fa7ba31e209131cea898b7 | | FactFormer | 3.43 | Not recorded | 68fa7ba31e209131cea898b7 | ### SS-NO Time (ms): 0.8. Result ID: 69ae6d436dbb7075b955e9fc. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Resolution (N)":"32"}. This record does not assert independent reproduction. ### SS-NO Time (ms): 0.81. Result ID: 69ae6d436dbb7075b955e9fd. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Resolution (N)":"64"}. This record does not assert independent reproduction. ### SS-NO Time (ms): 0.81. Result ID: 69ae6d436dbb7075b955e9ff. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Resolution (N)":"256"}. This record does not assert independent reproduction. ### SS-NO Time (ms): 0.81. Result ID: 69ae6d436dbb7075b955ea00. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Resolution (N)":"512"}. This record does not assert independent reproduction. ### SS-NO Time (ms): 0.82. Result ID: 69ae6d436dbb7075b955e9fe. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Resolution (N)":"128"}. This record does not assert independent reproduction. ### U-Net Time (ms): 1.22. Result ID: 69ae6d436dbb7075b955e9ea. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Resolution (N)":"128"}. This record does not assert independent reproduction. ### U-Net Time (ms): 1.24. Result ID: 69ae6d436dbb7075b955e9e9. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Resolution (N)":"64"}. This record does not assert independent reproduction. ### U-Net Time (ms): 1.24. Result ID: 69ae6d436dbb7075b955e9ec. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Resolution (N)":"512"}. This record does not assert independent reproduction. ### U-Net Time (ms): 1.25. Result ID: 69ae6d436dbb7075b955e9eb. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Resolution (N)":"256"}. This record does not assert independent reproduction. ### U-Net Time (ms): 1.29. Result ID: 69ae6d436dbb7075b955e9e8. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Resolution (N)":"32"}. This record does not assert independent reproduction. ### FFNO Time (ms): 1.35. Result ID: 69ae6d436dbb7075b955e9f8. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Resolution (N)":"64"}. This record does not assert independent reproduction. ### FFNO Time (ms): 1.35. Result ID: 69ae6d436dbb7075b955e9f9. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Resolution (N)":"128"}. This record does not assert independent reproduction. ### FFNO Time (ms): 1.35. Result ID: 69ae6d436dbb7075b955e9fa. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Resolution (N)":"256"}. This record does not assert independent reproduction. ### FFNO Time (ms): 1.37. Result ID: 69ae6d436dbb7075b955e9f7. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Resolution (N)":"32"}. This record does not assert independent reproduction. ### FFNO Time (ms): 1.39. Result ID: 69ae6d436dbb7075b955e9fb. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Resolution (N)":"512"}. This record does not assert independent reproduction. ### GKT Time (ms): 2.25. Result ID: 69ae6d436dbb7075b955e9f0. [Reporting paper]() [Method origin paper]() [Implementation]() Recorded evaluation configuration: {"Resolution (N)":"256"}. This record does not assert independent reproduction. ### GKT Time (ms): 2.26. Result ID: 69ae6d436dbb7075b955e9ee. [Reporting paper]() [Method origin paper]() [Implementation]() Recorded evaluation configuration: {"Resolution (N)":"64"}. This record does not assert independent reproduction. ### GKT Time (ms): 2.26. Result ID: 69ae6d436dbb7075b955e9ef. [Reporting paper]() [Method origin paper]() [Implementation]() Recorded evaluation configuration: {"Resolution (N)":"128"}. This record does not assert independent reproduction. ### GKT Time (ms): 2.26. Result ID: 69ae6d436dbb7075b955e9f1. [Reporting paper]() [Method origin paper]() [Implementation]() Recorded evaluation configuration: {"Resolution (N)":"512"}. This record does not assert independent reproduction. ### GKT Time (ms): 2.3. Result ID: 69ae6d436dbb7075b955e9ed. [Reporting paper]() [Method origin paper]() [Implementation]() Recorded evaluation configuration: {"Resolution (N)":"32"}. This record does not assert independent reproduction. ### FactFormer Time (ms): 3.36. Result ID: 69ae6d436dbb7075b955e9f2. [Reporting paper]() [Method origin paper]() [Implementation]() Recorded evaluation configuration: {"Resolution (N)":"32"}. This record does not assert independent reproduction. ### FactFormer Time (ms): 3.37. Result ID: 69ae6d436dbb7075b955e9f6. [Reporting paper]() [Method origin paper]() [Implementation]() Recorded evaluation configuration: {"Resolution (N)":"512"}. This record does not assert independent reproduction. ### FactFormer Time (ms): 3.38. Result ID: 69ae6d436dbb7075b955e9f4. [Reporting paper]() [Method origin paper]() [Implementation]() Recorded evaluation configuration: {"Resolution (N)":"128"}. This record does not assert independent reproduction. ### FactFormer Time (ms): 3.39. Result ID: 69ae6d436dbb7075b955e9f3. [Reporting paper]() [Method origin paper]() [Implementation]() Recorded evaluation configuration: {"Resolution (N)":"64"}. This record does not assert independent reproduction. ### FactFormer Time (ms): 3.43. Result ID: 69ae6d436dbb7075b955e9f5. [Reporting paper]() [Method origin paper]() [Implementation]() Recorded evaluation configuration: {"Resolution (N)":"256"}. This record does not assert independent reproduction. Page 1 of 1. This is an index page, not the full collection.