Thesis / Dissertation

From Robust to Efficient Detection and Estimation: Applicable to Brain Activity Detection

Aref Miri Rekavandi, Robin Evans (ed.)

Published : 2021

Abstract

Functional magnetic resonance imaging (fMRI) is a non-invasive imaging technique that has been extensively used in recent years to localize neural activities in the brain. Assuming a general linear model (GLM) to approximate recorded signals, classical maximum likelihood based estimators and detectors are used in the literature and their design is based on strong assumptions (e.g., Gaussianity of the noise). In the first part of this thesis, we extend the existing detectors and estimators using an alternative measure from information geometry called "alpha-divergence". This measure is used to obtain robustness against possible outliers or mismatches in observations and achieve more reliable ..

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