Klara Bonneau, Jonas Lederer, Clark Templeton, David Rosenberger, Lorenzo Giambagli, Klaus-Robert Muller, Cecilia Clementi
October, 2025
Nature Communications
Hello World!
I’m Lorenzo, Post Doctoral researcher at Freie Universität Berlin, in Prof. Cecilia Clementi’s group. I am particularly fascinated by how many interacting objects can lead to some unexpected and complex behaviors.
I’ve been particularly focusing on Simplicial Complexes and Deep Learning, exploring the diverse facets of both fields. In the realm of Simplicial Complexes, my interest lies in the intricate relationship between topology and dynamics. As for Deep Learning, my focus is on pinpointing the exact location of information within a Neural Network, with a focus on Graph Neural Networks, figuring out how to make these networks as compact and explainable as possible.
The way I try to make sense of all this is through spectral properties of the operators involved and with statistical learning.
In my free time, I love to roam around on my mountain bike, nurture my plants, play the guitar, and practice Kung Fu.
Interests
- Deep Learning Interpretability
- Structural Pruning
- Network Dynamics
- Algebraic Topology
Education
Further Education
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Research Lines
Understanding Deep Neural Networks through the lens of Spectral Theory of Graph and Dynamical Systems.
Discovering the interplay between Topology and Dynamics in signals definned on discrete manifolds.
Teaching & Outreach
Description and resources of the educational activity I conducted
Seminars and discussions for a non-scientific audience
Featured Publications
This paper extend tools recently proposed in the nascent field of explainable artificial intelligence, such as Layerwise Relevance Propagation, to coarse-grained potentials based on graph neural networks.
This research explores how higher-order interactions in complex systems influence the dynamics of topological signals, revealing new insights into the interplay between topology and dynamics.
This research explores the global synchronization of topological signals on higher-order networks, revealing that topological constraints impact synchronization differently across various network structures.
We introduce a new method for training deep neural networks by focusing on the spectral space, rather than the traditional node space. It involves adjusting the eigenvalues and eigenvectors of transfer operators, offering improved performance over standard methods with an equivalent number of parameters.
Contact me
- lorenzo.giambagli@fu-berlin.de
- Arnimallee 12, Berlin, Berlin 14195
- Enter Building, first floor and first door in front of the stairs