As malaria control programmes concentrate their efforts towards malaria elimination a better
understanding of malaria transmission patterns at fine spatial resolution units becomes …

Resting state functional magnetic resonance imaging (rfMRI) can be used to measure
functional connectivity and then identify brain networks and related brain disorders and …

Persistent homology offers a powerful tool for extracting hidden topological signals from
brain networks. It captures the evolution of topological structures across multiple scales …

fMRI is the preeminent method for collecting signals from the human brain in vivo, for using
these signals in the service of functional discovery, and relating these discoveries to …

From human communications to ecological systems, higher-order networks are ubiquitous in
our society. The study of their dynamic processes using percolation theory has attracted …

Topological data analysis offers a robust way to extract useful information from noisy,
unstructured data by identifying its underlying structure. Recently, an efficient quantum …

Segregation and integration are two fundamental principles of brain structural and functional
organization. Neuroimaging studies have shown that the brain transits between different …

A simplicial complex is a generalization of a graph: a collection of n-ary relationships
(instead of binary as the edges of a graph), named simplices. In this paper, we develop a …

Topological representations are rapidly becoming a popular way to capture and encode
higher-order interactions in complex systems. They have found applications in disciplines as …

With the rise in technological advances in the last decades, there has been an increase in
the complexity of the many systems that we are members of. The emergence and …