Parameter clustering in Bayesian functional PCA of neuroscientific data

Nicolo' Margaritella, Vanda Inacio de Carvalho, Ruth King

Research output: Contribution to journalArticlepeer-review

Abstract

The extraordinary advancements in neuroscientific technology for brain recordings over the last decades have led to increasingly complex spatio-temporal datasets. To reduce oversimplifications, new models have been developed to be able to identify meaningful patterns and new insights within a highly demanding data environment. To this extent, we propose a new model called Parameter clustering functional Principal Component Analysis (PCl-fPCA) that merges ideas from Functional Data Analysis and Bayesian nonparametrics to obtain a flexible and computationally feasible signal reconstruction and exploration of spatio-temporal neuroscientific data. In particular, we use a Dirichlet process Gaussian mixture model to cluster functional Principal Component scores within the standard Bayesian functional PCA framework. This approach captures the structure of spatial dependence among smoothed time series (curves) and its interaction with the time domain without imposing a prior spatial structure to the data. Moreover, by moving the mixture from data to functional principal component scores, we obtain a more general clustering procedure, thus allowing a higher level of intricate insight and understanding of the data. We present results from a Monte Carlo simulation study showing improvements in curve and correlation reconstruction compared with different Bayesian and frequentist fPCA models and we apply our method to a resting-state fMRI data analysis providing a rich exploration of the spatio-temporal dependence in brain time series.
Original languageEnglish
Number of pages19
JournalSTATISTICS IN MEDICINE
Early online date11 Oct 2020
DOIs
Publication statusE-pub ahead of print - 11 Oct 2020

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