The structure and dynamics of networks with higher order interactions
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 …
depend on the specific way in which its elementary components interact. The last twenty-five …
[HTML][HTML] Networks beyond pairwise interactions: Structure and dynamics
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 …
of the interactions among their units. Over the past decades, a variety of complex systems …
Simplicial models of social contagion
Complex networks have been successfully used to describe the spread of diseases in
populations of interacting individuals. Conversely, pairwise interactions are often not …
populations of interacting individuals. Conversely, pairwise interactions are often not …
Homological scaffolds of brain functional networks
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 …
long time and now permeate many areas of science, including neuroimaging (Bullmore and …
Stability of synchronization in simplicial complexes
Various systems in physics, biology, social sciences and engineering have been
successfully modeled as networks of coupled dynamical systems, where the links describe …
successfully modeled as networks of coupled dynamical systems, where the links describe …
Persistent-homology-based machine learning: a survey and a comparative study
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 …
reduce data complexity and dimensionality is key to the performance of machine learning …
Statistical analysis of fNIRS data: a comprehensive review
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 …
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
This work introduces a number of algebraic topology approaches, including multi-
component persistent homology, multi-level persistent homology, and electrostatic …
component persistent homology, multi-level persistent homology, and electrostatic …
Persistent homology analysis of protein structure, flexibility, and folding
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 …
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
Recent developments in complex systems have witnessed that many real-world scenarios,
successfully represented as networks, are not always restricted to binary interactions but …
successfully represented as networks, are not always restricted to binary interactions but …