Multimodal diffusion model for increments of electroencephalogram data

Leonenko, N. N. ORCID: https://orcid.org/0000-0003-1932-4091, Salinger, Z., Sikorskii, A., Suvak, N. and Boivin, M. J. 2023. Multimodal diffusion model for increments of electroencephalogram data. Stochastic Environmental Research and Risk Assessment 37 , pp. 4695-4706. 10.1007/s00477-023-02524-y

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Abstract

We propose a new strictly stationary strong mixing diffusion model with marginal multimodal (three-peak) distribution and exponentially decaying autocorrelation function for modeling of increments of electroencephalogram data collected from Ugandan children during coma from cerebral malaria. We treat the increments as discrete-time observations and construct a diffusion process where the stationary distribution is viewed as a mixture of three non-central generalized Gaussian distributions and we state some important properties related to the moments of this mixture. We estimate the distribution parameters using the expectation-maximization algorithm, where the added shape parameter is estimated using the higher order statistics approach based on an analytical relationship between the shape parameter and kurtosis. The derived estimates are then used for prediction of subsequent neurodevelopment and cognition of cerebral malaria survivors using the elastic net regression. We compare different predictive models and determine whether additional information obtained from multimodality of the marginal distributions can be used to improve the prediction.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Mathematics
Publisher:	Springer Verlag
ISSN:	1436-3240
Funders:	EPSRC
Date of First Compliant Deposit:	20 July 2023
Date of Acceptance:	17 July 2023
Last Modified:	22 Nov 2023 14:22
URI:	https://orca.cardiff.ac.uk/id/eprint/161154

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