# Filtering on Lorenz–63 Source: [Filtering on Lorenz–63]() Collection index: [llms.txt]() Data updated: 2026-03-24T15:05:38.749Z Evaluation of model performance on filtering tasks applied to the Lorenz–63 chaotic system dynamics, typically measured using the Average EW2 metric. 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–63 | | Metric | Average EW2 | | 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 EW2](): Lower is better; unit: SCALAR. ## Recorded results | Method | Average EW2 | Result date | Report paper | | --- | --- | --- | --- | | Diffusion | 5.744 | Not recorded | 69c21ac00636e5bf4afc4be7 | | Diffusion | 6.233 | Not recorded | 69c21ac00636e5bf4afc4be7 | | Diffusion | 6.553 | Not recorded | 69c21ac00636e5bf4afc4be7 | | Diffusion | 8.474 | Not recorded | 69c21ac00636e5bf4afc4be7 | | Diffusion | 9.774 | Not recorded | 69c21ac00636e5bf4afc4be7 | | EnKF | 11.865 | Not recorded | 69c21ac00636e5bf4afc4be7 | | EnKF | 12.017 | Not recorded | 69c21ac00636e5bf4afc4be7 | | Diffusion | 12.809 | Not recorded | 69c21ac00636e5bf4afc4be7 | | EnKF | 12.944 | Not recorded | 69c21ac00636e5bf4afc4be7 | | EnKF | 13.768 | Not recorded | 69c21ac00636e5bf4afc4be7 | | EnKF | 13.773 | Not recorded | 69c21ac00636e5bf4afc4be7 | | EnKF | 14.768 | Not recorded | 69c21ac00636e5bf4afc4be7 | | SIR | 14.851 | Not recorded | 69c21ac00636e5bf4afc4be7 | | SIR | 15.332 | Not recorded | 69c21ac00636e5bf4afc4be7 | | SIR | 16.882 | Not recorded | 69c21ac00636e5bf4afc4be7 | | SIR | 17.4 | Not recorded | 69c21ac00636e5bf4afc4be7 | | SIR | 17.44 | Not recorded | 69c21ac00636e5bf4afc4be7 | | SIR | 17.867 | Not recorded | 69c21ac00636e5bf4afc4be7 | ### Diffusion Average EW2: 5.744. Result ID: 69c2a83147f34ce924ab9016. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Ensemble size (N)":"1000","Optimal Bandwidth (sigma\_x)":"0.025","Optimal Bandwidth (sigma\_y)":"0.25","Range of sampling steps":"13 – 17"}. This record does not assert independent reproduction. ### Diffusion Average EW2: 6.233. Result ID: 69c2a83147f34ce924ab9013. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Ensemble size (N)":"500","Optimal Bandwidth (sigma\_x)":"0.025","Optimal Bandwidth (sigma\_y)":"0.25","Range of sampling steps":"12 – 16"}. This record does not assert independent reproduction. ### Diffusion Average EW2: 6.553. Result ID: 69c2a83147f34ce924ab9010. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Ensemble size (N)":"250","Optimal Bandwidth (sigma\_x)":"0.050","Optimal Bandwidth (sigma\_y)":"0.25","Range of sampling steps":"11 – 15"}. This record does not assert independent reproduction. ### Diffusion Average EW2: 8.474. Result ID: 69c2a83147f34ce924ab900d. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Ensemble size (N)":"100","Optimal Bandwidth (sigma\_x)":"0.100","Optimal Bandwidth (sigma\_y)":"0.25","Range of sampling steps":"10 – 13"}. This record does not assert independent reproduction. ### Diffusion Average EW2: 9.774. Result ID: 69c2a83147f34ce924ab900a. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Ensemble size (N)":"50","Optimal Bandwidth (sigma\_x)":"0.100","Optimal Bandwidth (sigma\_y)":"0.50","Range of sampling steps":"12 – 16"}. This record does not assert independent reproduction. ### EnKF Average EW2: 11.865. Result ID: 69c2a83147f34ce924ab9014. [Reporting paper]() Recorded evaluation configuration: {"Ensemble size (N)":"500"}. This record does not assert independent reproduction. ### EnKF Average EW2: 12.017. Result ID: 69c2a83147f34ce924ab9011. [Reporting paper]() Recorded evaluation configuration: {"Ensemble size (N)":"250"}. This record does not assert independent reproduction. ### Diffusion Average EW2: 12.809. Result ID: 69c2a83147f34ce924ab9007. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Ensemble size (N)":"20","Optimal Bandwidth (sigma\_x)":"0.200","Optimal Bandwidth (sigma\_y)":"0.50","Range of sampling steps":"9 – 12"}. This record does not assert independent reproduction. ### EnKF Average EW2: 12.944. Result ID: 69c2a83147f34ce924ab9017. [Reporting paper]() Recorded evaluation configuration: {"Ensemble size (N)":"1000"}. This record does not assert independent reproduction. ### EnKF Average EW2: 13.768. Result ID: 69c2a83147f34ce924ab900e. [Reporting paper]() Recorded evaluation configuration: {"Ensemble size (N)":"100"}. This record does not assert independent reproduction. ### EnKF Average EW2: 13.773. Result ID: 69c2a83147f34ce924ab900b. [Reporting paper]() Recorded evaluation configuration: {"Ensemble size (N)":"50"}. This record does not assert independent reproduction. ### EnKF Average EW2: 14.768. Result ID: 69c2a83147f34ce924ab9008. [Reporting paper]() Recorded evaluation configuration: {"Ensemble size (N)":"20"}. This record does not assert independent reproduction. ### SIR Average EW2: 14.851. Result ID: 69c2a83147f34ce924ab9018. [Reporting paper]() Recorded evaluation configuration: {"Ensemble size (N)":"1000"}. This record does not assert independent reproduction. ### SIR Average EW2: 15.332. Result ID: 69c2a83147f34ce924ab9015. [Reporting paper]() Recorded evaluation configuration: {"Ensemble size (N)":"500"}. This record does not assert independent reproduction. ### SIR Average EW2: 16.882. Result ID: 69c2a83147f34ce924ab9012. [Reporting paper]() Recorded evaluation configuration: {"Ensemble size (N)":"250"}. This record does not assert independent reproduction. ### SIR Average EW2: 17.4. Result ID: 69c2a83147f34ce924ab900f. [Reporting paper]() Recorded evaluation configuration: {"Ensemble size (N)":"100"}. This record does not assert independent reproduction. ### SIR Average EW2: 17.44. Result ID: 69c2a83147f34ce924ab9009. [Reporting paper]() Recorded evaluation configuration: {"Ensemble size (N)":"20"}. This record does not assert independent reproduction. ### SIR Average EW2: 17.867. Result ID: 69c2a83147f34ce924ab900c. [Reporting paper]() Recorded evaluation configuration: {"Ensemble size (N)":"50"}. This record does not assert independent reproduction. Page 1 of 1. This is an index page, not the full collection.