The Challenge of Functional Magnetic Resonance Imaging

Abstract

Functional magnetic resonance imaging of the human brain in action presents large statistical and computational challenges. Here we describe those challenges and provide references to a number of other papers where detailed methods developed to meet them are reported. The first seven sections of this paper were written in 1995 when our work was in its infancy. The last four sections were written more recently, to update the earlier sections and to show the directions we have gone and the directions we intend to go.     

Number Rigidity in Superhomogeneous Random Point Fields

Journal of Statistical Physics - We give sufficient conditions for the number rigidity of a large class of point processes in dimension $$d=1$$ and 2, based on the decay of correlations. Number...