5 papers
Scaled Null-Adjusted Persistence: A Multiscale Bridge between Modularity and Persistence
Alessandro Avellone, Paolo Bartesaghi, Stefano Benati +1
Community detection methods must balance two competing objectives: identifying small, cohesive groups while avoiding excessive fragmentation. Modularity, the most widely adopted op…
Lower spectrum of financial correlation matrices: a new perspective on market synchronization
Rosanna Grassi, Caterina Pastorino, Pierpaolo Uberti
In this paper we investigate the information content of the lower part of the spectrum of financial correlation matrices, as a source of information on market synchronization. In a…
Local and Global Balance in Financial Correlation Networks: an Application to Investment Decisions
Paolo Bartesaghi, Rosanna Grassi, Pierpaolo Uberti
The global balance is a well-known indicator of the behavior of a signed network. Recent literature has introduced the concept of local balance as a measure of the contribution of…
Null-adjusted persistence function for high-resolution community detection
Alessandro Avellone, Paolo Bartesaghi, Stefano Benati +2
Modularity and persistence probability are two widely used quality functions for detecting communities in complex networks. In this paper, we introduce a new objective function cal…
Global Balance and Systemic Risk in Financial Correlation Networks
Paolo Bartesaghi, Fernando Diaz-Diaz, Rosanna Grassi +1
The global balance index is used in the network literature to quantify how balanced a signed network is. In this paper we show that the global balance index of financial correlatio…