The physics of higher-order interactions in complex systems
Complex networks have become the main paradigm for modelling the dynamics of
interacting systems. However, networks are intrinsically limited to describing pairwise …
interacting systems. However, networks are intrinsically limited to describing pairwise …
[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 …
[HTML][HTML] Hypergraph geometry reflects higher-order dynamics in protein interaction networks
Protein interactions form a complex dynamic molecular system that shapes cell phenotype
and function; in this regard, network analysis is a powerful tool for studying the dynamics of …
and function; in this regard, network analysis is a powerful tool for studying the dynamics of …
Random walks on hypergraphs with edge-dependent vertex weights
Hypergraphs are used in machine learning to model higher-order relationships in data.
While spectral methods for graphs are well-established, spectral theory for hypergraphs …
While spectral methods for graphs are well-established, spectral theory for hypergraphs …
A threshold model of cascading failure on random hypergraphs
Higher-order interactions are ubiquitous in the real world and play a critical role in
maintaining the overall function of complex systems. To investigate the effects of higher …
maintaining the overall function of complex systems. To investigate the effects of higher …
First-order transition to oscillation death in coupled oscillators with higher-order interactions
We investigate the dynamical evolution of Stuart-Landau oscillators globally coupled
through conjugate or dissimilar variables on simplicial complexes. We report a first-order …
through conjugate or dissimilar variables on simplicial complexes. We report a first-order …
Towards a survey on static and dynamic hypergraph visualizations
MT Fischer, A Frings, DA Keim… - 2021 IEEE visualization …, 2021 - ieeexplore.ieee.org
Leveraging hypergraph structures to model advanced processes has gained much attention
over the last few years in many areas, ranging from protein-interaction in computational …
over the last few years in many areas, ranging from protein-interaction in computational …
Facilitating prediction of adverse drug reactions by using knowledge graphs and multi-label learning models
Timely identification of adverse drug reactions (ADRs) is highly important in the domains of
public health and pharmacology. Early discovery of potential ADRs can limit their effect on …
public health and pharmacology. Early discovery of potential ADRs can limit their effect on …
Current and future directions in network biology
Network biology, an interdisciplinary field at the intersection of computational and biological
sciences, is critical for deepening understanding of cellular functioning and disease. While …
sciences, is critical for deepening understanding of cellular functioning and disease. While …
Ecological networks over the edge: hypergraph trait-mediated indirect interaction (TMII) structure
Analyses of ecological network structure have yielded important insights into the functioning
of complex ecological systems. However, such analyses almost universally omit non …
of complex ecological systems. However, such analyses almost universally omit non …