Published papers include 'Feature-aware ultra-low dimensional reduction of real networks' (2024), 'Renormalization of networks with weak geometric coupling' (2024), and 'Random graphs and real networks with weak geometric coupling' (2024).
Research Experience
Research focuses on working at the interface between Network Science and Machine Learning; reducing redundant information to find simplifying patterns in data sets and complex networks through the application of hyperbolic geometrics; studying spatially embedded structural brain networks and exploring the accuracy of hyperbolic space distances in interpreting connectomes across species.
Background
The essence of complexity is summarized by the old aphorism coined out more than two thousand years ago: «The whole is more than the sum of its parts» (Lao Tse, Tao Te Ching, VI BC; Aristotle, Metaphysics, IV BC). Complex systems consist of a large number of components interacting in such a way that the group as a whole may produce nonlinear unexpected responses, often exhibiting phase transitions, cascades, crises, catastrophes, and other critical and extreme events. These emergent behaviors come along with other amazing features, like self-organization into hierarchical or multiscale structures, self-similarity, self-regulation, memory, or the ability to adapt and to learn. Networks are graph representations of real-world complex systems. We are using networks to unravel the basic principles underlying the structure, function, and evolution of complex systems, and to model and predict them.