Community Detection in networks by Dynamical Optimal Transport Formulation

Abstract

Detecting communities in networks is important in various domains of applications. While a variety of methods exists to perform this task, recent efforts propose Optimal Transport (OT) principles combined with the geometric notion of Ollivier-Ricci curvature to classify nodes into groups by rigorously comparing the information encoded into nodes’ neighborhoods. We present an OT-based approach that exploits recent advances in OT theory to allow tuning for traffic penalization, which enforces different transportation schemes. As a result, our model can flexibly capture different scenarios and thus increase performance accuracy in recovering communities, compared to standard OT-based formulations. We test the performance of our algorithm in both synthetic and real networks, achieving a comparable or better performance than other OT-based methods in the former case, while finding communities more aligned with node metadata in real data. This pushes further our understanding of geometric approaches in their ability to capture patterns in complex networks.

Publication
Submitted
Daniela Leite
Daniela Leite
PhD student

My PhD project is at the intersection between Math and Physics. In particular, my research focuses on trying to understand the dynamical behavior and properties of routing optimization networks.

Diego Baptista Theuerkauf
Diego Baptista Theuerkauf
PhD student

My research focuses on analising graph-based approximations of solutions of optimal transportation problems. We use biologically-inspired models to find transport plans for many different routing frameworks.

Abdullahi Adinoyi Ibrahim
Abdullahi Adinoyi Ibrahim
PhD student

My research focuses on solving routing problem for transportation.

Caterina De Bacco
Caterina De Bacco
CyberValley Research Group Leader

My research focuses on understanding, optimizing and predicting relations between the microscopic and macroscopic properties of complex large-scale interacting systems.

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