Development of a variational scheme for model inversion of multi-area model of brain. Part II

VBEM method

Abbas Babajani-Feremi, Hamid Soltanian-Zadeh

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

In Part I and Part II of these two companion papers (henceforth called Part I and Part II), we develop and evaluate a variational Bayesian expectation maximization (VBEM) method for model inversion of our multi-area extended neural mass model (MEN). In this paper, we develop the VBEM method to estimate posterior distributions of parameters of MEN. We choose suitable prior distributions for the model parameters in order to use properties of a conjugate-exponential model in implementing VBEM. Consequently, VBEM leads to analytically tractable forms. The proposed VBEM algorithm starts with initialization and consists of repeated iterations of a variational Bayesian expectation step (VB E-step) and a variational Bayesian maximization step (VB M-step). Posterior distributions of the model parameters are updated in the VB M-step. Distribution of the hidden state is updated in the VB E-step. We develop a variational extended Kalman smoother (VEKS) to infer the distribution of the hidden state in the VB E-step and derive the forward and backward passes of VEKS, analogous to the Kalman smoother. In Part I, we evaluate and validate the VBEM method using simulation studies.

Original languageEnglish (US)
Pages (from-to)76-92
Number of pages17
JournalMathematical Biosciences
Volume229
Issue number1
DOIs
StatePublished - Jan 1 2011
Externally publishedYes

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Expectation Maximization
Brain
Inversion
brain
methodology
Model
Posterior distribution
Exponential Model
Evaluate
Expectation-maximization Algorithm
Prior distribution
Initialization
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All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Medicine(all)
  • Modeling and Simulation
  • Immunology and Microbiology(all)
  • Biochemistry, Genetics and Molecular Biology(all)
  • Agricultural and Biological Sciences(all)
  • Applied Mathematics

Cite this

Development of a variational scheme for model inversion of multi-area model of brain. Part II : VBEM method. / Babajani-Feremi, Abbas; Soltanian-Zadeh, Hamid.

In: Mathematical Biosciences, Vol. 229, No. 1, 01.01.2011, p. 76-92.

Research output: Contribution to journalArticle

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