Most complex systems are nonlinear, relying on emergent behavior resulting from many
interacting subsystems, which are often characterized by oscillatory dynamics. Having …

Hypergraphs, describing networks where interactions take place among any number of
units, are a natural tool to model many real-world social and biological systems. Here, we …

Hypergraphs extend traditional graphs by allowing edges to connect multiple nodes, while
superhypergraphs further generalize this concept to represent even more complex …

Summary CompleX Group Interactions (XGI) is a library for analyzing higher-order networks.
Such networks are used to model interactions of arbitrary size between entities in a complex …

From social to biological systems, many real-world systems are characterized by higher-
order, non-dyadic interactions. Such systems are conveniently described by hypergraphs …

Artificial Neural Networks (ANNs) are transforming how we understand chemical mixtures,
providing an expressive view of the chemical space and multiscale processes. Their …

Networks incorporating higher-order interactions are increasingly recognized for their ability
to introduce novel dynamics into various processes, including synchronization. Previous …

Higher-order interactions shape collective dynamics, but how they affect transitions between
different states in swarmalator systems is yet to be determined. To that effect, we here study …

Collective cooperation is essential for the survival and advancement of groups. However,
current studies on evolutionary dynamics within higher-order networks often focus on …

Higher-order networks are widely used to describe complex systems in which interactions
can involve more than two entities at once. In this paper, we focus on inclusion within higher …