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11 papers · 1 filter
Network science Ising states of matter
Hanlin Sun, Rajat Kumar Panda, Roberto Verdel +3
Network science provides very powerful tools for extracting information from interacting data. Although recently the unsupervised detection of phases of matter using machine learni…
The nature of hypergraph -core percolation problems
Ginestra Bianconi, Sergey N. Dorogovtsev
Hypergraphs are higher-order networks that capture the interactions between two or more nodes. Hypergraphs can always be represented by factor graphs, i.e. bipartite networks betwe…
Local Dirac Synchronization on Networks
Lucille Calmon, Sanjukta Krishnagopal, Ginestra Bianconi
We propose Local Dirac Synchronization which uses the Dirac operator to capture the dynamics of coupled nodes and link signals on an arbitrary network. In Local Dirac Synchronizati…
Strong Connectivity in Real Directed Networks
Niall Rodgers, Peter Tino, Samuel Johnson
In many real, directed networks, the strongly connected component of nodes which are mutually reachable is very small. This does not fit with current theory, based on random graphs…
Grand canonical ensembles of sparse networks and Bayesian inference
Ginestra Bianconi
Maximum entropy network ensembles have been very successful in modelling sparse network topologies and in solving challenging inference problems. However the sparse maximum entropy…
Network Hierarchy and Pattern Recovery in Directed Sparse Hopfield Networks
Niall Rodgers, Peter Tino, Samuel Johnson
Many real-world networks are directed, sparse and hierarchical, with a mixture of feed-forward and feedback connections with respect to the hierarchy. Moreover, a small number of '…