
1
Bayesian Inference on the Brain: Bayesian
Solutions to Selected Problems in
Neuroimaging
John A. D. Aston
University of Cambridge
Adam M. Johansen
University of Warwick
CONTENTS
1.1 Introduction . .. .. .. . . . .. . . .. . . . .. .. .. . .. . . .. . . . . . . . .. . . . . . .. .. . . . . 2
1.2 Background . .. . . . . . .. . . . . . . . .. . . .. . .. .. .. . . . .. . . .. . . . .. .. .. . . . .. . 3
1.2.1 Neuroscience and its imaging problems . . .. .. . . . . . .. . . .. 3
1.2.2 Monte Carlo and sequential Monte Carlo . . .. . . .. . . . . . . . 4
1.3 Application: Functional Magnetic Resonance Imaging . . . .. . . .. . 8
1.3.1 Problem . . . . .. . .