A review of the Expectation Maximization algorithm in data-driven process identification

The Expectation Maximization (EM) algorithm has been widely used for parameter estimation in data-driven process identification. EM is an algorithm for maximum likelihood estimation of parameters and ensures convergence of the likelihood function. In presence of missing variables and in ill conditio...

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Published in:Journal of process control Vol. 73; pp. 123 - 136
Main Authors: Sammaknejad, Nima, Zhao, Yujia, Huang, Biao
Format: Journal Article
Language:English
Published: Elsevier Ltd 01.01.2019
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ISSN:0959-1524, 1873-2771
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Abstract The Expectation Maximization (EM) algorithm has been widely used for parameter estimation in data-driven process identification. EM is an algorithm for maximum likelihood estimation of parameters and ensures convergence of the likelihood function. In presence of missing variables and in ill conditioned problems, EM algorithm greatly assists the design of more robust identification algorithms. Such situations frequently occur in industrial environments. Missing observations due to sensor malfunctions, multiple process operating conditions and unknown time delay information are some of the examples that can resort to the EM algorithm. In this article, a review on applications of the EM algorithm to address such issues is provided. Future applications of EM algorithm as well as some open problems are also provided.
AbstractList The Expectation Maximization (EM) algorithm has been widely used for parameter estimation in data-driven process identification. EM is an algorithm for maximum likelihood estimation of parameters and ensures convergence of the likelihood function. In presence of missing variables and in ill conditioned problems, EM algorithm greatly assists the design of more robust identification algorithms. Such situations frequently occur in industrial environments. Missing observations due to sensor malfunctions, multiple process operating conditions and unknown time delay information are some of the examples that can resort to the EM algorithm. In this article, a review on applications of the EM algorithm to address such issues is provided. Future applications of EM algorithm as well as some open problems are also provided.
Author Zhao, Yujia
Huang, Biao
Sammaknejad, Nima
Author_xml – sequence: 1
  givenname: Nima
  surname: Sammaknejad
  fullname: Sammaknejad, Nima
  email: sammakne@ualberta.ca
– sequence: 2
  givenname: Yujia
  surname: Zhao
  fullname: Zhao, Yujia
  email: yujia3@ualberta.ca
– sequence: 3
  givenname: Biao
  surname: Huang
  fullname: Huang, Biao
  email: biao.huang@ualberta.ca
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Keywords Data-driven process identification
Missing data
Multiple models
Latent variable models
Outlier treatment
State space
Time delay
Hidden Markov Models
Expectation Maximization algorithm
Switching
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Snippet The Expectation Maximization (EM) algorithm has been widely used for parameter estimation in data-driven process identification. EM is an algorithm for maximum...
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SubjectTerms Data-driven process identification
Expectation Maximization algorithm
Hidden Markov Models
Latent variable models
Missing data
Multiple models
Outlier treatment
State space
Switching
Time delay
Title A review of the Expectation Maximization algorithm in data-driven process identification
URI https://dx.doi.org/10.1016/j.jprocont.2018.12.010
Volume 73
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