# Uncertainty Quantification on Kuramoto-Sivashinsky (KS) equation 100 instances (test) Source: [Uncertainty Quantification on Kuramoto-Sivashinsky (KS) equation 100 instances (test)]() Collection index: [llms.txt]() Data updated: 2026-02-26T05:38:48.439Z Evaluation of Uncertainty Quantification performance on 100 test instances of the Kuramoto-Sivashinsky (KS) equation, typically measured using CRPS variants. 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 | Uncertainty Quantification | | Dataset (including any stated split) | Kuramoto-Sivashinsky (KS) equation 100 instances (test) | | Metric | CRPS (λ\_s) | | Unit | SCALAR | | Direction | Lower is better | | Results loaded | 5 of 5 | | 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 - [CRPS (λ\_s)](): Lower is better; unit: SCALAR. - [CRPS (λ\_b)](): Lower is better; unit: SCALAR. - [CRPS (λ\_nonlinear)](): Lower is better; unit: SCALAR. ## Recorded results | Method | CRPS (λ\_s) | Result date | Report paper | | --- | --- | --- | --- | | EnKI w/ EMBED & EMULATE | 0.121 | Not recorded | 68fa59c31e209131ce9ba1c0 | | h\_theta w/ EMBED & EMULATE | 0.148 | Not recorded | 68fa59c31e209131ce9ba1c0 | | Supervised regression | 0.149 | Not recorded | 68fa59c31e209131ce9ba1c0 | | NPE-C | 0.175 | Not recorded | 68fa59c31e209131ce9ba1c0 | | EnKI w/o Learning | 1.14 | Not recorded | 68fa59c31e209131ce9ba1c0 | ### EnKI w/ EMBED & EMULATE CRPS (λ\_s): 0.121. Result ID: 698ba9027a967eddb7706732. [Reporting paper]() [Method origin paper]() [Implementation]() Recorded evaluation configuration: {"Training data generation (min)":"9.0","Training time (min)":"34.0","100 testing runs (min)":"1.0","Total time":"44.0 (0.74 h)"}. This record does not assert independent reproduction. ### h\_theta w/ EMBED & EMULATE CRPS (λ\_s): 0.148. Result ID: 698ba9027a967eddb7706731. [Reporting paper]() [Method origin paper]() [Implementation]() Recorded evaluation configuration: {"Training data generation (min)":"9.0","Training time (min)":"34.0","100 testing runs (min)":"0.5","Total time":"43.5 (0.73 h)"}. This record does not assert independent reproduction. ### Supervised regression CRPS (λ\_s): 0.149. Result ID: 698ba9027a967eddb7706733. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Training data generation (min)":"9.0","Training time (min)":"28.0","100 testing runs (min)":"0.5","Total time":"39.5 (0.62 h)"}. This record does not assert independent reproduction. ### NPE-C CRPS (λ\_s): 0.175. Result ID: 698ba9027a967eddb7706734. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Training data generation (min)":"9.0","Training time (min)":"31.0","100 testing runs (min)":"1.0","Total time":"40.0 (0.66 h)"}. This record does not assert independent reproduction. ### EnKI w/o Learning CRPS (λ\_s): 1.14. Result ID: 698ba9027a967eddb7706730. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Training data generation (min)":"0.0","Training time (min)":"0.0","100 testing runs (min)":"3,600.0","Total time":"3,600.0 (60h)"}. This record does not assert independent reproduction. Page 1 of 1. This is an index page, not the full collection.