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  • 标题:On Identification via EM with Latent Disturbances and Lagrangian Relaxation *
  • 本地全文:下载
  • 作者:Jack Umenberger ; Johan Wågberg ; Ian R. Manchester
  • 期刊名称:IFAC PapersOnLine
  • 印刷版ISSN:2405-8963
  • 出版年度:2015
  • 卷号:48
  • 期号:28
  • 页码:69-74
  • DOI:10.1016/j.ifacol.2015.12.102
  • 语种:English
  • 出版社:Elsevier
  • 摘要:AbstractIn the application of the Expectation Maximization (EM) algorithm to identification of dynamical systems, latent variables are typically taken as system states, for simplicity. In this work, we propose a different choice of latent variables, namely, system disturbances. Such a formulation is shown, under certain circumstances, to improve the fidelity of bounds on the likelihood, and circumvent difficulties related to intractable model transition densities. To access these benefits, we propose a Lagrangian relaxation of the challenging optimization problem that arises when formulating over latent disturbances, and fully develop the method for linear models.
  • 关键词:KeywordsSystem identificationexpectation maximizationconvex relaxation
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