Abstract: Recent research on epidemic processes has revealed the limitations of traditional networks, which capture only pairwise relationships, to characterize complex multiparty relationships and ...

Abstract: This letter studies the stability of discrete-time polynomial dynamical systems on hypergraphs by utilizing the Perron-Frobenius theorem for nonnegative tensors with respect to the tensors’ ...

PHYMES (Parallel HYpergraph MEssaging Streams) is a subject-based message passing algorithm based on directed hypergraphs which provide the expressivity needed to model the heterogeneity and ...

Scientists usually use a hypergraph model to predict dynamic behaviors. But the opposite problem is interesting, too. What if researchers can observe the dynamics but don't have access to a reliable ...

In a network, pairs of individual elements, or nodes, connect to each other; those connections can represent a sprawling system with myriad individual links. A hypergraph goes deeper: It gives ...

contains the bash scripts to run the experiments. The bash scripts run the python scripts (found in the scripts folder) with the appropriate parameters. For example, run_all_general.sh will run all ...

For most websites, the homepage represents your brand’s first interaction with your audience on your website. As the catch-all landing page where people will be sent by default, your homepage needs to ...

The original version of this story appeared in Quanta Magazine. Much of mathematics is driven by intuition, by a deep-rooted sense of what should be true. But sometimes instinct can lead a ...

In addition to being one of the most fun words to say—and hardest to spell—in English, “onomatopoeia” probably calls to mind a whole bunch of silly, fun words. Onomatopoeia is the process of creating ...