Nonlinear Denoising and Analysis of Neuroimages With Kernel Principal Component Analysis and Pre-Image Estimation

Peter Mondrup Rasmussen, Trine Julie Abrahamsen, Kristoffer Hougaard Madsen, Lars Kai Hansen

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    Abstract

    We investigate the use of kernel principal component analysis (PCA) and the inverse problem known as pre-image estimation in neuroimaging: i) We explore kernel PCA and pre-image estimation as a means for image denoising as part of the image preprocessing pipeline. Evaluation of the denoising procedure is performed within a data-driven split-half evaluation framework. ii) We introduce manifold navigation for exploration of a nonlinear data manifold, and illustrate how pre-image estimation can be used to generate brain maps in the continuum between experimentally defined brain states/classes. We base these illustrations on two fMRI BOLD data sets — one from a simple finger tapping experiment and the other from an experiment on object recognition in the ventral temporal lobe.
    Original languageEnglish
    JournalNeuroImage
    Volume60
    Issue number3
    Pages (from-to)1807-1818
    ISSN1053-8119
    DOIs
    Publication statusPublished - 2012

    Keywords

    • Multivariate analysis
    • Classification
    • Decoding
    • Nonlinear modeling
    • Kernel PCA
    • Pre-image estimation
    • NPAIRS resampling

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