The structure and dynamics of networks with higher order interactions

S Boccaletti, P De Lellis, CI Del Genio, K Alfaro-Bittner… - Physics Reports, 2023 - Elsevier
All beauty, richness and harmony in the emergent dynamics of a complex system largely
depend on the specific way in which its elementary components interact. The last twenty-five …

[HTML][HTML] Networks beyond pairwise interactions: Structure and dynamics

F Battiston, G Cencetti, I Iacopini, V Latora, M Lucas… - Physics reports, 2020 - Elsevier
The complexity of many biological, social and technological systems stems from the richness
of the interactions among their units. Over the past decades, a variety of complex systems …

Simplicial models of social contagion

I Iacopini, G Petri, A Barrat, V Latora - Nature communications, 2019 - nature.com
Complex networks have been successfully used to describe the spread of diseases in
populations of interacting individuals. Conversely, pairwise interactions are often not …

Homological scaffolds of brain functional networks

G Petri, P Expert, F Turkheimer… - Journal of The …, 2014 - royalsocietypublishing.org
Networks, as efficient representations of complex systems, have appealed to scientists for a
long time and now permeate many areas of science, including neuroimaging (Bullmore and …

Stability of synchronization in simplicial complexes

LV Gambuzza, F Di Patti, L Gallo, S Lepri… - Nature …, 2021 - nature.com
Various systems in physics, biology, social sciences and engineering have been
successfully modeled as networks of coupled dynamical systems, where the links describe …

Persistent-homology-based machine learning: a survey and a comparative study

CS Pun, SX Lee, K Xia - Artificial Intelligence Review, 2022 - Springer
A suitable feature representation that can both preserve the data intrinsic information and
reduce data complexity and dimensionality is key to the performance of machine learning …

Statistical analysis of fNIRS data: a comprehensive review

S Tak, JC Ye - Neuroimage, 2014 - Elsevier
Functional near-infrared spectroscopy (fNIRS) is a non-invasive method to measure brain
activities using the changes of optical absorption in the brain through the intact skull. fNIRS …

Representability of algebraic topology for biomolecules in machine learning based scoring and virtual screening

Z Cang, L Mu, GW Wei - PLoS computational biology, 2018 - journals.plos.org
This work introduces a number of algebraic topology approaches, including multi-
component persistent homology, multi-level persistent homology, and electrostatic …

Persistent homology analysis of protein structure, flexibility, and folding

K Xia, GW Wei - International journal for numerical methods in …, 2014 - Wiley Online Library
Proteins are the most important biomolecules for living organisms. The understanding of
protein structure, function, dynamics, and transport is one of the most challenging tasks in …

Intralayer and interlayer synchronization in multiplex network with higher-order interactions

MS Anwar, D Ghosh - Chaos: An Interdisciplinary Journal of Nonlinear …, 2022 - pubs.aip.org
Recent developments in complex systems have witnessed that many real-world scenarios,
successfully represented as networks, are not always restricted to binary interactions but …