Zobrazeno 1 - 6
of 6
pro vyhledávání: '"Henry-Louis de Kergorlay"'
Publikováno v:
Royal Society Open Science, Vol 11, Iss 5 (2024)
What is the dimension of a network? Here, we view it as the smallest dimension of Euclidean space into which nodes can be embedded so that pairwise distances accurately reflect the connectivity structure. We show that a recently proposed and extremel
Externí odkaz:
https://doaj.org/article/09f1abf97f354891b4dd004d28f9f9f8
Publikováno v:
Entropy, Vol 25, Iss 11, p 1555 (2023)
We consider a random geometric hypergraph model based on an underlying bipartite graph. Nodes and hyperedges are sampled uniformly in a domain, and a node is assigned to those hyperedges that lie within a certain radius. From a modelling perspective,
Externí odkaz:
https://doaj.org/article/40d6fcc076a74414804582e4f47a9278
Publikováno v:
Random Structures & Algorithms. 61:309-352
Let M be a compact, unit volume, Riemannian manifold with boundary. We study the homology of a random Čech-complex generated by a homogeneous Poisson process in M. Our main results are two asymptotic threshold formulas, an upper threshold above whic
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fabd5abb6bc3c09eda395de1b10bba2b
https://doi.org/10.1002/rsa.21062
https://doi.org/10.1002/rsa.21062
Publikováno v:
Information and Inference: A Journal of the IMA. 11:801-822
Anchor-based techniques reduce the computational complexity of spectral clustering algorithms. Although empirical tests have shown promising results, there is currently a lack of theoretical support for the anchoring approach. We define a specific an
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::933bcd703a6d8e53952e904fe245799b
https://doi.org/10.1093/imaiai/iaab023
https://doi.org/10.1093/imaiai/iaab023
Publikováno v:
Higham, D J & De Kergorlay, H 2022, ' Disease Extinction for Susceptible-Infected-Susceptible Models on Dynamic Graphs and Hypergraphs ', Chaos: An Interdisciplinary Journal of Nonlinear Science, vol. 32, no. 8, 083131 . https://doi.org/10.1063/5.0093776
We consider stochastic, individual-level susceptible–infected–susceptible models for the spread of disease, opinion, or information on dynamic graphs and hypergraphs. We set up “snapshot” models where the interactions at any time are independ
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::010d80c75665c543aeafc93a8ff8fe9e
https://pubmed.ncbi.nlm.nih.gov/36049952
https://pubmed.ncbi.nlm.nih.gov/36049952
Publikováno v:
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 477
Epidemic spreading is well understood when a disease propagates around a contact graph. In a stochastic susceptible–infected–susceptible setting, spectral conditions characterize whether the disease vanishes. However, modelling human interactions
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::520a708d980e0257c220290c55a98348
https://doi.org/10.1098/rspa.2021.0232
https://doi.org/10.1098/rspa.2021.0232