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 …
Signal propagation in complex networks
Signal propagation in complex networks drives epidemics, is responsible for information
going viral, promotes trust and facilitates moral behavior in social groups, enables the …
going viral, promotes trust and facilitates moral behavior in social groups, enables the …
Dynamics on higher-order networks: A review
Network science has evolved into an indispensable platform for studying complex systems.
But recent research has identified limits of classical networks, where links connect pairs of …
But recent research has identified limits of classical networks, where links connect pairs of …
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 …
Weisfeiler and lehman go cellular: Cw networks
Abstract Graph Neural Networks (GNNs) are limited in their expressive power, struggle with
long-range interactions and lack a principled way to model higher-order structures. These …
long-range interactions and lack a principled way to model higher-order structures. These …
[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 …
Weisfeiler and lehman go topological: Message passing simplicial networks
The pairwise interaction paradigm of graph machine learning has predominantly governed
the modelling of relational systems. However, graphs alone cannot capture the multi-level …
the modelling of relational systems. However, graphs alone cannot capture the multi-level …
What are higher-order networks?
Network-based modeling of complex systems and data using the language of graphs has
become an essential topic across a range of different disciplines. Arguably, this graph-based …
become an essential topic across a range of different disciplines. Arguably, this graph-based …
Deciphering spatio-temporal graph forecasting: A causal lens and treatment
Abstract Spatio-Temporal Graph (STG) forecasting is a fundamental task in many real-world
applications. Spatio-Temporal Graph Neural Networks have emerged as the most popular …
applications. Spatio-Temporal Graph Neural Networks have emerged as the most popular …
From networks to optimal higher-order models of complex systems
From networks to optimal higher-order models of complex systems | Nature Physics Skip to main
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