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  • 标题:Anomaly Detection of Markov Processes with Evolution Equation and Moments ⁎
  • 本地全文:下载
  • 作者:Rafal Wisniewski ; Manuela L. Bujorianu
  • 期刊名称:IFAC PapersOnLine
  • 印刷版ISSN:2405-8963
  • 出版年度:2020
  • 卷号:53
  • 期号:2
  • 页码:1974-1979
  • DOI:10.1016/j.ifacol.2020.12.2561
  • 语种:English
  • 出版社:Elsevier
  • 摘要:AbstractOur departure point is the evolution equation of a Markov process. It describes the changes in the transition probability as time passes. We compare the transition probability for a priori model with the actual transition probability of the observed process to detect a mismatch between the expected and the measured data. To translate this idea into an algorithm, we characterise the involved measures by their moments. Specifically, a linear dynamic system is put forward that describes the evolution of moments. As the last result, we define a moment divergence as the means of computing the distance between two sequences of moments. We see the work as a step towards merging model-driven and data-driven concepts in control engineering. To elucidate the concepts introduced, we have incorporated several simple examples.
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