It is a central question in neuroscience to understand how different regions of the brain interact, how strongly they "talk" ...

A novel mathematical approach enables the identification of brain regions whose connectivity shifts in autism or aging, informing targeted brain stimulation therapies.

Researchers used topological data analysis to improve the predictions of physical properties of amorphous materials by machine-learning algorithms. This may allow for cheaper and faster calculations ...

The brain’s internal communication patterns change over the course of our lives and also differ in people with certain neurological conditions. Understanding these processes is one of the central ...

We introduce a consistent estimator for the homology (an algebraic structure representing connected components and cycles) of level sets of both density and regression functions. Our method is based ...