Percolation on complex networks: Theory and application

M Li, RR Liu, L Lü, MB Hu, S Xu, YC Zhang - Physics Reports, 2021 - Elsevier
In the last two decades, network science has blossomed and influenced various fields, such
as statistical physics, computer science, biology and sociology, from the perspective of the …

Machine learning and the physical sciences

G Carleo, I Cirac, K Cranmer, L Daudet, M Schuld… - Reviews of Modern …, 2019 - APS
Machine learning (ML) encompasses a broad range of algorithms and modeling tools used
for a vast array of data processing tasks, which has entered most scientific disciplines in …

Community detection in networks: A user guide

S Fortunato, D Hric - Physics reports, 2016 - Elsevier
Community detection in networks is one of the most popular topics of modern network
science. Communities, or clusters, are usually groups of vertices having higher probability of …

Vital nodes identification in complex networks

L Lü, D Chen, XL Ren, QM Zhang, YC Zhang, T Zhou - Physics reports, 2016 - Elsevier
Real networks exhibit heterogeneous nature with nodes playing far different roles in
structure and function. To identify vital nodes is thus very significant, allowing us to control …

Higher-order organization of complex networks

AR Benson, DF Gleich, J Leskovec - Science, 2016 - science.org
Networks are a fundamental tool for understanding and modeling complex systems in
physics, biology, neuroscience, engineering, and social science. Many networks are known …

Community detection and stochastic block models: recent developments

E Abbe - Journal of Machine Learning Research, 2018 - jmlr.org
The stochastic block model (SBM) is a random graph model with planted clusters. It is widely
employed as a canonical model to study clustering and community detection, and provides …

Epidemic spreading on higher-order networks

W Wang, Y Nie, W Li, T Lin, MS Shang, S Su, Y Tang… - Physics Reports, 2024 - Elsevier
Gathering events, eg, going to gyms and meetings, are ubiquitous and crucial in the
spreading phenomena, which induce higher-order interactions, and thus can be described …

[HTML][HTML] Random walks and diffusion on networks

N Masuda, MA Porter, R Lambiotte - Physics reports, 2017 - Elsevier
Random walks are ubiquitous in the sciences, and they are interesting from both theoretical
and practical perspectives. They are one of the most fundamental types of stochastic …

On the equivalence between graph isomorphism testing and function approximation with gnns

Z Chen, S Villar, L Chen… - Advances in neural …, 2019 - proceedings.neurips.cc
Graph neural networks (GNNs) have achieved lots of success on graph-structured data. In
light of this, there has been increasing interest in studying their representation power. One …

Influence maximization in complex networks through optimal percolation

F Morone, HA Makse - Nature, 2015 - nature.com
The whole frame of interconnections in complex networks hinges on a specific set of
structural nodes, much smaller than the total size, which, if activated, would cause the …