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    The maximum likelihood ensemble filter performances in chaotic systems

    Authors
    Carrassi, A.
    Vannitsem, S.
    Zupanski, D.
    Zupanski, M.
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    Discipline
    Earth and related Environmental sciences
    Subject
    MLEF
    Kaplan-Yorke dimension
    Audience
    General Public
    Scientific
    Date
    2009
    Publisher
    IRM
    KMI
    RMI
    Metadata
    Show full item record
    Description
    The performance of the maximum likelihood ensemble filter (MLEF), is investigated in the context of generic systems featuring the essential ingredients of unstable dynamics and on a spatially extended system displaying chaos. The main objective is to clarify the response of the filter to different regimes of motion and highlighting features which may help its optimization in more realistic applications. It is found that, in view of the minimization procedure involved in the filter analysis update, the algorithm provides accurate estimates even in the presence of prominent non-linearities. Most importantly, the filter ensemble size can be designed in connection to the properties of the system attractor (Kaplan–Yorke dimension), thus facilitating the filter setup and limiting the computational cost by using an optimal ensemble. As a corollary, this latter finding indicates that the ensemble perturbations in the MLEF reflect the intrinsic system error dynamics rather than a sampling of realizations of an unknown error covariance.
    Citation
    Carrassi, A.; Vannitsem, S.; Zupanski, D.; Zupanski, M. (2009). The maximum likelihood ensemble filter performances in chaotic systems. , Issue Tellus, 61A, 587-600, IRM,
    Identifiers
    uri: https://orfeo.belnet.be/handle/internal/8879
    Type
    Article
    Peer-Review
    Not pertinent
    Language
    eng
    Links
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