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On Estimation and Optimization of Mean Values of Bounded Variables

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 نشر من قبل Xinjia Chen
 تاريخ النشر 2012
  مجال البحث
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 تأليف Xinjia Chen




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In this paper, we develop a general approach for probabilistic estimation and optimization. An explicit formula and a computational approach are established for controlling the reliability of probabilistic estimation based on a mixed criterion of absolute and relative errors. By employing the Chernoff-Hoeffding bound and the concept of sampling, the minimization of a probabilistic function is transformed into an optimization problem amenable for gradient descendent algorithms.

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