Statistics of brain networks

DANIEL FRAIMAN

Bs As

Congreso; 2nd FALAN Congress; 2016

The study of random graphs and networks had an explosive development in the last couple of decades. Meanwhile, techniques for the statistical analysis of these networks were less developed. In this talk we will focus on brain networks and will study some statistical problems in a nonparametric framework.We will address the following questions: Given one or more samples of brain networks, How to calculate a representative brain network? How to define a notion of variability for networks? How to identify a network outlier? How to test if the groups of networks have the same probability law? How to perform classification?Answers to these questions provide an important step in the development of potential neuroimaging-based tools for diagnosis.