Publications related to Complex network

Geometry of the Loss Landscape in Overparameterized Neural Networks: Symmetries and Invariances

Wulfram Gerstner, Clément Hongler, Johanni Michael Brea, Francesco Spadaro, Berfin Simsek, Arthur Jacot

We study how permutation symmetries in overparameterized multi-layer neural networks generate `symmetry-induced' critical points. Assuming a network with

L

layers of minimal widths

r_1^*, \ldots, r_{L-1}^*

reaches a zero-loss minimum at $ r_1^*! \c ...

2021

Atomic subgraphs and the statistical mechanics of networks

Sofia Charlotta Olhede

We develop random graph models where graphs are generated by connecting not only pairs of vertices by edges, but also larger subsets of vertices by copies of small atomic subgraphs of arbitrary topology. This allows for the generation of graphs with extens ...

2021

Clinical connectome fingerprints of cognitive decline

Enrico Amico, Emahnuel Troisi Lopez

Brain connectome fingerprinting is rapidly rising as a novel influential field in brain network analysis. Yet, it is still unclear whether connectivity fingerprints could be effectively used for mapping and predicting disease progression from human brain d ...

2021

Empirical investigation of the emission-macroscopic fundamental diagram

Nikolaos Geroliminis, Emmanouil Barmpounakis, Eric Justin Gonzales, Martí Montesinos Ferrer

Vehicle emissions are a major contributor of air pollution in urban areas, with severe consequences for public health and the environment. This paper focuses on analyzing vehicle emissions in a multimodal urban context to better understand its determinants ...

PERGAMON-ELSEVIER SCIENCE LTD2021

A Measure of Dynamical Efficiency for Multimodal Interconnected Urban Systems

Nikolaos Geroliminis, Leonardo Bellocchi

Complex network theory describes network performance mostly based on topological characteristics, like betweenness centrality. This work integrates concepts from complex networks and traffic engineering. We propose a new measure for spatial networks and, i ...

2020

Spikyball Sampling: Exploring Large Networks via an Inhomogeneous Filtered Diffusion

Nicolas Aspert, Volodymyr Miz, Benjamin Ricaud

Studying real-world networks such as social networks or web networks is a challenge. These networks often combine a complex, highly connected structure together with a large size. We propose a new approach for large scale networks that is able to automatic ...

2020

Stability of time-sensitive networks: strategies for partial regulation

Nicolò Dal Fabbro

In time-sensitive networks, regulators can be used to reshape traffic, and their usage may be necessary to guarantee stability by providing worst-case delay bounds. In this project, I study partial regulation of time-sensitive networks with cyclic dependen ...

2020

Simplicity in complex networks: a path-based centrality

Nikolaos Geroliminis, Leonardo Bellocchi

Understanding travel behaviour in transportation system is key challenge to calibrate and simulate the usage of urban mobility networks. We define in this work a path-based centrality based on the simplicity of the path between two locations in road networ ...

2020

Electromagnetic Time Reversal: Theory, Application to Fault Location in Power Networks and Experimental Validation

Zhaoyang Wang

The time-reversal invariance is readily described and universally embodied in most laws of nature, either in a strict or in a soft sense. Based on this underlying physical principle, time-reversal theory has been theoretically and experimentally studied in ...

EPFL2020

Optimized path planning of a swarm of drones for massive data collection

This Master project is part of laboratory research consisting in optimizing path planning of a swarm of drones for massive traffic data collection. The main goals aim to determine the optimal number of drones to use given the available fleet and to generat ...

2020

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Geometry of the Loss Landscape in Overparameterized Neural Networks: Symmetries and Invariances

Atomic subgraphs and the statistical mechanics of networks

Clinical connectome fingerprints of cognitive decline

Empirical investigation of the emission-macroscopic fundamental diagram

A Measure of Dynamical Efficiency for Multimodal Interconnected Urban Systems

Spikyball Sampling: Exploring Large Networks via an Inhomogeneous Filtered Diffusion

Stability of time-sensitive networks: strategies for partial regulation

Simplicity in complex networks: a path-based centrality

Electromagnetic Time Reversal: Theory, Application to Fault Location in Power Networks and Experimental Validation

Optimized path planning of a swarm of drones for massive data collection

Stability of time-sensitive networks: strategies for partial regulation

Spikyball Sampling: Exploring Large Networks via an Inhomogeneous Filtered Diffusion

Optimized path planning of a swarm of drones for massive data collection

Empirical investigation of the emission-macroscopic fundamental diagram

Atomic subgraphs and the statistical mechanics of networks

Clinical connectome fingerprints of cognitive decline

A Measure of Dynamical Efficiency for Multimodal Interconnected Urban Systems

Simplicity in complex networks: a path-based centrality

Geometry of the Loss Landscape in Overparameterized Neural Networks: Symmetries and Invariances

Electromagnetic Time Reversal: Theory, Application to Fault Location in Power Networks and Experimental Validation