[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 …
Superhypergraph neural networks and plithogenic graph neural networks: Theoretical foundations
T Fujita - arxiv preprint arxiv:2412.01176, 2024 - arxiv.org
Hypergraphs extend traditional graphs by allowing edges to connect multiple nodes, while
superhypergraphs further generalize this concept to represent even more complex …
superhypergraphs further generalize this concept to represent even more complex …
Distance encoding: Design provably more powerful neural networks for graph representation learning
Learning representations of sets of nodes in a graph is crucial for applications ranging from
node-role discovery to link prediction and molecule classification. Graph Neural Networks …
node-role discovery to link prediction and molecule classification. Graph Neural Networks …
Inductive representation learning in temporal networks via causal anonymous walks
Temporal networks serve as abstractions of many real-world dynamic systems. These
networks typically evolve according to certain laws, such as the law of triadic closure, which …
networks typically evolve according to certain laws, such as the law of triadic closure, which …
Hypergraph convolution and hypergraph attention
Recently, graph neural networks have attracted great attention and achieved prominent
performance in various research fields. Most of those algorithms have assumed pairwise …
performance in various research fields. Most of those algorithms have assumed pairwise …
Hypergcn: A new method for training graph convolutional networks on hypergraphs
In many real-world network datasets such as co-authorship, co-citation, email
communication, etc., relationships are complex and go beyond pairwise. Hypergraphs …
communication, etc., relationships are complex and go beyond pairwise. Hypergraphs …
[HTML][HTML] Signal processing on higher-order networks: Livin'on the edge... and beyond
In this tutorial, we provide a didactic treatment of the emerging topic of signal processing on
higher-order networks. Drawing analogies from discrete and graph signal processing, we …
higher-order networks. Drawing analogies from discrete and graph signal processing, we …
Metro passenger flow prediction via dynamic hypergraph convolution networks
Metro passenger flow prediction is a strategically necessary demand in an intelligent
transportation system to alleviate traffic pressure, coordinate operation schedules, and plan …
transportation system to alleviate traffic pressure, coordinate operation schedules, and plan …
Heterogeneous hypergraph variational autoencoder for link prediction
Link prediction aims at inferring missing links or predicting future ones based on the
currently observed network. This topic is important for many applications such as social …
currently observed network. This topic is important for many applications such as social …
Estimating mutual information for discrete-continuous mixtures
Estimation of mutual information from observed samples is a basic primitive in machine
learning, useful in several learning tasks including correlation mining, information …
learning, useful in several learning tasks including correlation mining, information …