1. Parameter clustering in Bayesian functional principal component analysis of neuroscientific data
- Author
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Vanda Inacio, Nicolò Margaritella, Ruth King, and University of St Andrews. Statistics
- Subjects
Statistics and Probability ,Epidemiology ,Computer science ,Bayesian probability ,NDAS ,HA ,01 natural sciences ,010104 statistics & probability ,03 medical and health sciences ,0302 clinical medicine ,Frequentist inference ,Spatiotemporal data ,Cluster Analysis ,Humans ,HA Statistics ,Computer Simulation ,030212 general & internal medicine ,0101 mathematics ,Cluster analysis ,Functional principal component analysis ,MCC ,Principal Component Analysis ,business.industry ,Signal reconstruction ,Functional data analysis ,Pattern recognition ,Bayes Theorem ,Magnetic Resonance Imaging ,Dirichlet process ,Principal component analysis ,RC0321 ,Artificial intelligence ,business ,RC0321 Neuroscience. Biological psychiatry. Neuropsychiatry ,Neuroscience - Abstract
The extraordinary advancements in neuroscientific technology for brain recordings over the last decades have led to increasingly complex spatiotemporal data sets. 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 spatiotemporal 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 spatial dependence structure among smoothed time series (curves) and its interaction with the time domain without imposing a prior spatial structure on 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 simulation study showing improvements in curve and correlation reconstruction compared with different Bayesian and frequentist fPCA models and we apply our method to functional magnetic resonance imaging and electroencephalogram data analyses providing a rich exploration of the spatiotemporal dependence in brain time series. Publisher PDF
- Published
- 2020