# Data Assimilation on Lorenz-96 20d (S=10 simulations) Source: [Data Assimilation on Lorenz-96 20d (S=10 simulations)]() Collection index: [llms.txt]() Data updated: 2026-03-24T15:05:38.781Z Evaluation of Data Assimilation performance on the 20-dimensional Lorenz-96 system, configured with S=10 independent simulations, measured using Average ERMSE. 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 | Data assimilation | | Dataset (including any stated split) | 20-dimensional Lorenz–96 system S = 10 independent simulations | | Metric | Average ERMSE | | 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 - [Average ERMSE](): Lower is better; unit: SCALAR. ## Recorded results | Method | Average ERMSE | Result date | Report paper | | --- | --- | --- | --- | | EnKF | 0.747 | Not recorded | 69c21ac00636e5bf4afc4be7 | | Diffusion | 1.439 | Not recorded | 69c21ac00636e5bf4afc4be7 | | Diffusion | 1.771 | Not recorded | 69c21ac00636e5bf4afc4be7 | | Diffusion | 2.074 | Not recorded | 69c21ac00636e5bf4afc4be7 | | EnKF | 2.196 | Not recorded | 69c21ac00636e5bf4afc4be7 | | Diffusion | 2.456 | Not recorded | 69c21ac00636e5bf4afc4be7 | | Diffusion | 2.904 | Not recorded | 69c21ac00636e5bf4afc4be7 | | Diffusion | 3.55 | Not recorded | 69c21ac00636e5bf4afc4be7 | | EnKF | 3.91 | Not recorded | 69c21ac00636e5bf4afc4be7 | | EnKF | 4.842 | Not recorded | 69c21ac00636e5bf4afc4be7 | | SIR | 4.882 | Not recorded | 69c21ac00636e5bf4afc4be7 | | SIR | 4.902 | Not recorded | 69c21ac00636e5bf4afc4be7 | | SIR | 4.948 | Not recorded | 69c21ac00636e5bf4afc4be7 | | SIR | 4.978 | Not recorded | 69c21ac00636e5bf4afc4be7 | | SIR | 5 | Not recorded | 69c21ac00636e5bf4afc4be7 | | SIR | 5.008 | Not recorded | 69c21ac00636e5bf4afc4be7 | | EnKF | 5.071 | Not recorded | 69c21ac00636e5bf4afc4be7 | | EnKF | 5.251 | Not recorded | 69c21ac00636e5bf4afc4be7 | ### EnKF Average ERMSE: 0.747. Result ID: 69c2a83147f34ce924ab9029. [Reporting paper]() Recorded evaluation configuration: {"Ensemble size N":"1000"}. This record does not assert independent reproduction. ### Diffusion Average ERMSE: 1.439. Result ID: 69c2a83147f34ce924ab9028. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Ensemble size N":"1000","Optimal Bandwidth σx":"0.10","Optimal Bandwidth σy":"0.50","Range of sampling steps":"17–19"}. This record does not assert independent reproduction. ### Diffusion Average ERMSE: 1.771. Result ID: 69c2a83147f34ce924ab9025. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Ensemble size N":"500","Optimal Bandwidth σx":"0.10","Optimal Bandwidth σy":"0.75","Range of sampling steps":"17–19"}. This record does not assert independent reproduction. ### Diffusion Average ERMSE: 2.074. Result ID: 69c2a83147f34ce924ab9022. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Ensemble size N":"250","Optimal Bandwidth σx":"0.10","Optimal Bandwidth σy":"0.75","Range of sampling steps":"16–19"}. This record does not assert independent reproduction. ### EnKF Average ERMSE: 2.196. Result ID: 69c2a83147f34ce924ab9026. [Reporting paper]() Recorded evaluation configuration: {"Ensemble size N":"500"}. This record does not assert independent reproduction. ### Diffusion Average ERMSE: 2.456. Result ID: 69c2a83147f34ce924ab901f. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Ensemble size N":"100","Optimal Bandwidth σx":"0.15","Optimal Bandwidth σy":"0.75","Range of sampling steps":"15–17"}. This record does not assert independent reproduction. ### Diffusion Average ERMSE: 2.904. Result ID: 69c2a83147f34ce924ab901c. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Ensemble size N":"50","Optimal Bandwidth σx":"0.15","Optimal Bandwidth σy":"1.00","Range of sampling steps":"15–17"}. This record does not assert independent reproduction. ### Diffusion Average ERMSE: 3.55. Result ID: 69c2a83147f34ce924ab9019. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Ensemble size N":"20","Optimal Bandwidth σx":"0.20","Optimal Bandwidth σy":"1.50","Range of sampling steps":"13–17"}. This record does not assert independent reproduction. ### EnKF Average ERMSE: 3.91. Result ID: 69c2a83147f34ce924ab9023. [Reporting paper]() Recorded evaluation configuration: {"Ensemble size N":"250"}. This record does not assert independent reproduction. ### EnKF Average ERMSE: 4.842. Result ID: 69c2a83147f34ce924ab9020. [Reporting paper]() Recorded evaluation configuration: {"Ensemble size N":"100"}. This record does not assert independent reproduction. ### SIR Average ERMSE: 4.882. Result ID: 69c2a83147f34ce924ab901e. [Reporting paper]() Recorded evaluation configuration: {"Ensemble size N":"50"}. This record does not assert independent reproduction. ### SIR Average ERMSE: 4.902. Result ID: 69c2a83147f34ce924ab902a. [Reporting paper]() Recorded evaluation configuration: {"Ensemble size N":"1000"}. This record does not assert independent reproduction. ### SIR Average ERMSE: 4.948. Result ID: 69c2a83147f34ce924ab9027. [Reporting paper]() Recorded evaluation configuration: {"Ensemble size N":"500"}. This record does not assert independent reproduction. ### SIR Average ERMSE: 4.978. Result ID: 69c2a83147f34ce924ab9024. [Reporting paper]() Recorded evaluation configuration: {"Ensemble size N":"250"}. This record does not assert independent reproduction. ### SIR Average ERMSE: 5. Result ID: 69c2a83147f34ce924ab9021. [Reporting paper]() Recorded evaluation configuration: {"Ensemble size N":"100"}. This record does not assert independent reproduction. ### SIR Average ERMSE: 5.008. Result ID: 69c2a83147f34ce924ab901b. [Reporting paper]() Recorded evaluation configuration: {"Ensemble size N":"20"}. This record does not assert independent reproduction. ### EnKF Average ERMSE: 5.071. Result ID: 69c2a83147f34ce924ab901d. [Reporting paper]() Recorded evaluation configuration: {"Ensemble size N":"50"}. This record does not assert independent reproduction. ### EnKF Average ERMSE: 5.251. Result ID: 69c2a83147f34ce924ab901a. [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.