# Filtering on Lorenz-96 10-dimensional Source: [Filtering on Lorenz-96 10-dimensional]() Collection index: [llms.txt]() Data updated: 2026-03-24T15:05:38.726Z Evaluation of model performance on filtering tasks using the Lorenz-96 10-dimensional chaotic system simulation data, typically measured by Root Mean Square Error (RMSE). 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 | Filtering | | Dataset (including any stated split) | Lorenz-96 10-dimensional | | Metric | RMSE | | 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 - [RMSE](): Lower is better; unit: SCALAR. ## Recorded results | Method | RMSE | Result date | Report paper | | --- | --- | --- | --- | | EnKF | 0.592 | Not recorded | 69c21ac00636e5bf4afc4be7 | | EnKF | 0.729 | Not recorded | 69c21ac00636e5bf4afc4be7 | | Diffusion | 0.952 | Not recorded | 69c21ac00636e5bf4afc4be7 | | Diffusion | 1.076 | Not recorded | 69c21ac00636e5bf4afc4be7 | | Diffusion | 1.144 | Not recorded | 69c21ac00636e5bf4afc4be7 | | Diffusion | 1.688 | Not recorded | 69c21ac00636e5bf4afc4be7 | | Diffusion | 2.049 | Not recorded | 69c21ac00636e5bf4afc4be7 | | EnKF | 2.195 | Not recorded | 69c21ac00636e5bf4afc4be7 | | Diffusion | 3.073 | Not recorded | 69c21ac00636e5bf4afc4be7 | | EnKF | 4.023 | Not recorded | 69c21ac00636e5bf4afc4be7 | | SIR | 4.563 | Not recorded | 69c21ac00636e5bf4afc4be7 | | EnKF | 4.664 | Not recorded | 69c21ac00636e5bf4afc4be7 | | SIR | 4.675 | Not recorded | 69c21ac00636e5bf4afc4be7 | | SIR | 4.732 | Not recorded | 69c21ac00636e5bf4afc4be7 | | SIR | 4.742 | Not recorded | 69c21ac00636e5bf4afc4be7 | | SIR | 4.803 | Not recorded | 69c21ac00636e5bf4afc4be7 | | SIR | 4.806 | Not recorded | 69c21ac00636e5bf4afc4be7 | | EnKF | 4.904 | Not recorded | 69c21ac00636e5bf4afc4be7 | ### EnKF RMSE: 0.592. Result ID: 69c2a83147f34ce924ab9005. [Reporting paper]() Recorded evaluation configuration: {"Ensemble size N":"1000"}. This record does not assert independent reproduction. ### EnKF RMSE: 0.729. Result ID: 69c2a83147f34ce924ab9002. [Reporting paper]() Recorded evaluation configuration: {"Ensemble size N":"500"}. This record does not assert independent reproduction. ### Diffusion RMSE: 0.952. Result ID: 69c2a83147f34ce924ab9004. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Ensemble size N":"1000","Optimal Bandwidth sigma\_x":"0.05","Optimal Bandwidth sigma\_y":"0.50","Range of sampling steps":"17 –19"}. This record does not assert independent reproduction. ### Diffusion RMSE: 1.076. Result ID: 69c2a83147f34ce924ab9001. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Ensemble size N":"500","Optimal Bandwidth sigma\_x":"0.10","Optimal Bandwidth sigma\_y":"0.50","Range of sampling steps":"17 –19"}. This record does not assert independent reproduction. ### Diffusion RMSE: 1.144. Result ID: 69c2a83147f34ce924ab8ffe. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Ensemble size N":"250","Optimal Bandwidth sigma\_x":"0.10","Optimal Bandwidth sigma\_y":"0.50","Range of sampling steps":"16 –19"}. This record does not assert independent reproduction. ### Diffusion RMSE: 1.688. Result ID: 69c2a83147f34ce924ab8ffb. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Ensemble size N":"100","Optimal Bandwidth sigma\_x":"0.20","Optimal Bandwidth sigma\_y":"0.50","Range of sampling steps":"16 –19"}. This record does not assert independent reproduction. ### Diffusion RMSE: 2.049. Result ID: 69c2a83147f34ce924ab8ff8. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Ensemble size N":"50","Optimal Bandwidth sigma\_x":"0.20","Optimal Bandwidth sigma\_y":"0.75","Range of sampling steps":"14 –17"}. This record does not assert independent reproduction. ### EnKF RMSE: 2.195. Result ID: 69c2a83147f34ce924ab8fff. [Reporting paper]() Recorded evaluation configuration: {"Ensemble size N":"250"}. This record does not assert independent reproduction. ### Diffusion RMSE: 3.073. Result ID: 69c2a83147f34ce924ab8ff5. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Ensemble size N":"20","Optimal Bandwidth sigma\_x":"0.20","Optimal Bandwidth sigma\_y":"1.00","Range of sampling steps":"13 –17"}. This record does not assert independent reproduction. ### EnKF RMSE: 4.023. Result ID: 69c2a83147f34ce924ab8ffc. [Reporting paper]() Recorded evaluation configuration: {"Ensemble size N":"100"}. This record does not assert independent reproduction. ### SIR RMSE: 4.563. Result ID: 69c2a83147f34ce924ab9006. [Reporting paper]() Recorded evaluation configuration: {"Ensemble size N":"1000"}. This record does not assert independent reproduction. ### EnKF RMSE: 4.664. Result ID: 69c2a83147f34ce924ab8ff9. [Reporting paper]() Recorded evaluation configuration: {"Ensemble size N":"50"}. This record does not assert independent reproduction. ### SIR RMSE: 4.675. Result ID: 69c2a83147f34ce924ab8ffd. [Reporting paper]() Recorded evaluation configuration: {"Ensemble size N":"100"}. This record does not assert independent reproduction. ### SIR RMSE: 4.732. Result ID: 69c2a83147f34ce924ab9003. [Reporting paper]() Recorded evaluation configuration: {"Ensemble size N":"500"}. This record does not assert independent reproduction. ### SIR RMSE: 4.742. Result ID: 69c2a83147f34ce924ab9000. [Reporting paper]() Recorded evaluation configuration: {"Ensemble size N":"250"}. This record does not assert independent reproduction. ### SIR RMSE: 4.803. Result ID: 69c2a83147f34ce924ab8ffa. [Reporting paper]() Recorded evaluation configuration: {"Ensemble size N":"50"}. This record does not assert independent reproduction. ### SIR RMSE: 4.806. Result ID: 69c2a83147f34ce924ab8ff7. [Reporting paper]() Recorded evaluation configuration: {"Ensemble size N":"20"}. This record does not assert independent reproduction. ### EnKF RMSE: 4.904. Result ID: 69c2a83147f34ce924ab8ff6. [Reporting paper]() Recorded evaluation configuration: {"Ensemble size N":"20"}. This record does not assert independent reproduction. Page 1 of 1. This is an index page, not the full collection.