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Approximate Bayesian recursive estimation

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    0425539 - ÚTIA 2015 RIV US eng J - Journal Article
    Kárný, Miroslav
    Approximate Bayesian recursive estimation.
    Information Sciences. Roč. 285, č. 1 (2014), s. 100-111. ISSN 0020-0255. E-ISSN 1872-6291
    R&D Projects: GA ČR GA13-13502S
    Institutional support: RVO:67985556
    Keywords : Approximate parameter estimation * Bayesian recursive estimation * Kullback–Leibler divergence * Forgetting
    Subject RIV: BB - Applied Statistics, Operational Research
    Impact factor: 4.038, year: 2014
    http://library.utia.cas.cz/separaty/2014/AS/karny-0425539.pdf

    Bayesian learning provides a firm theoretical basis of the design and exploitation of algorithms in data-streams processing (preprocessing, change detection, hypothesis testing, clustering, etc.). Primarily, it relies on a recursive parameter estimation of a firmly bounded complexity. As a rule, it has to approximate the exact posterior probability density (pd), which comprises unreduced information about the estimated parameter. In the recursive treatment of the data stream, the latest approximate pd is usually updated using the treated parametric model and the newest data and then approximated. The fact that approximation errors may accumulate over time course is mostly neglected in the estimator design and, at most, checked ex post. The paper inspects the estimator design with respect to the error accumulation and concludes that a sort of forgetting (pd flattening) is an indispensable part of a reliable approximate recursive estimation.
    Permanent Link: http://hdl.handle.net/11104/0231504

     
     
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