# Parameter Estimation on Kuramoto-Sivashinsky Equation (KSE) (test)

Source: [Parameter Estimation on Kuramoto-Sivashinsky Equation (KSE) (test)](<https://www.sota2.com/research/sota/parameter-estimation-on-kuramoto-sivashinsky-equation-kse-test>)

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

Data updated: 2026-02-26T05:49:40.755Z

Evaluation of model performance on estimating parameters for the Kuramoto-Sivashinsky Equation (KSE) using the test split, measured by MAPE and MdAPE across various parameters (lambda\_2, lambda\_4, lambda\_nonlinear).

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 | Parameter Estimation |
| Dataset (including any stated split) | Kuramoto-Sivashinsky Equation (KSE) (test) |
| Metric | MAPE (lambda\_2) |
| Unit | PERCENT |
| 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

- [MAPE (lambda\_2)](<https://www.sota2.com/research/sota/parameter-estimation-on-kuramoto-sivashinsky-equation-kse-test.md?metric=MAPE%20(lambda_2)>): Lower is better; unit: PERCENT.

- [MdAPE (lambda\_2)](<https://www.sota2.com/research/sota/parameter-estimation-on-kuramoto-sivashinsky-equation-kse-test.md?metric=MdAPE%20(lambda_2)>): Lower is better; unit: PERCENT.

- [MAPE (lambda\_4)](<https://www.sota2.com/research/sota/parameter-estimation-on-kuramoto-sivashinsky-equation-kse-test.md?metric=MAPE%20(lambda_4)>): Lower is better; unit: PERCENT.

- [MdAPE (lambda\_4)](<https://www.sota2.com/research/sota/parameter-estimation-on-kuramoto-sivashinsky-equation-kse-test.md?metric=MdAPE%20(lambda_4)>): Lower is better; unit: PERCENT.

- [MAPE (lambda\_nonlinear)](<https://www.sota2.com/research/sota/parameter-estimation-on-kuramoto-sivashinsky-equation-kse-test.md?metric=MAPE%20(lambda_nonlinear)>): Lower is better; unit: PERCENT.

- [MdAPE (lambda\_nonlinear)](<https://www.sota2.com/research/sota/parameter-estimation-on-kuramoto-sivashinsky-equation-kse-test.md?metric=MdAPE%20(lambda_nonlinear)>): Lower is better; unit: PERCENT.

## Recorded results

| Method | MAPE (lambda\_2) | Result date | Report paper |
| --- | --- | --- | --- |
| EMBED & EMULATE | 0.0324 | Not recorded | 68fa59c31e209131ce9ba1c0 |
| Supervised regression | 0.0327 | Not recorded | 68fa59c31e209131ce9ba1c0 |
| EnKI w/ EMBED & EMULATE | 0.0348 | Not recorded | 68fa59c31e209131ce9ba1c0 |
| NPE-C | 0.043 | Not recorded | 68fa59c31e209131ce9ba1c0 |
| EnKI w/o Learning | 0.3473 | Not recorded | 68fa59c31e209131ce9ba1c0 |

### EMBED & EMULATE

MAPE (lambda\_2): 0.0324. Result ID: 698ba9027a967eddb770672c.

[Reporting paper](<https://www.sota2.com/research/paper/68fa59c31e209131ce9ba1c0.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa59c31e209131ce9ba1c0.md>)

[Implementation](<https://github.com/roxie62/Embed-and-Emulate>)

Recorded evaluation configuration: {"Head":"Regression head (h\_theta)"}. This record does not assert independent reproduction.

### Supervised regression

MAPE (lambda\_2): 0.0327. Result ID: 698ba9027a967eddb770672e.

[Reporting paper](<https://www.sota2.com/research/paper/68fa59c31e209131ce9ba1c0.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa62321e209131ce9f8328.md>)

Recorded evaluation configuration: Not recorded. This record does not assert independent reproduction.

### EnKI w/ EMBED & EMULATE

MAPE (lambda\_2): 0.0348. Result ID: 698ba9027a967eddb770672d.

[Reporting paper](<https://www.sota2.com/research/paper/68fa59c31e209131ce9ba1c0.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa59c31e209131ce9ba1c0.md>)

[Implementation](<https://github.com/roxie62/Embed-and-Emulate>)

Recorded evaluation configuration: {"Prior":"Empirical Bayes (pp,empB)"}. This record does not assert independent reproduction.

### NPE-C

MAPE (lambda\_2): 0.043. Result ID: 698ba9027a967eddb770672f.

[Reporting paper](<https://www.sota2.com/research/paper/68fa59c31e209131ce9ba1c0.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa65c61e209131cea0c688.md>)

Recorded evaluation configuration: Not recorded. This record does not assert independent reproduction.

### EnKI w/o Learning

MAPE (lambda\_2): 0.3473. Result ID: 698ba9027a967eddb770672b.

[Reporting paper](<https://www.sota2.com/research/paper/68fa59c31e209131ce9ba1c0.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa37301e209131ce8afec3.md>)

Recorded evaluation configuration: {"Solver":"Runge-Kutta","Moments":"Predefined"}. This record does not assert independent reproduction.

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