Belief propagation on networks with cliques and chordless cycles
Date
08/05/2023Funder
Grant ID
EP/N007565/1
Keywords
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Abstract
It is well known that tree-based theories can describe the properties of undirected clustered networks with extremely accurate results [S. Melnik, et al. Phys. Rev. E 83, 036112 (2011)]. It is reasonable to suggest that a motif based theory would be superior to a tree one; since additional neighbour correlations are encapsulated in the motif structure. In this paper we examine bond percolation on random and real world networks using belief propagation in conjunction with edge-disjoint motif covers. We derive exact message passing expressions for cliques and chordless cycles of finite size. Our theoretical model gives good agreement with Monte Carlo simulation and offers a simple, yet substantial improvement on traditional message passing showing that this approach is suitable to study the properties of random and empirical networks.
Citation
Mann , P S & Dobson , S A 2023 , ' Belief propagation on networks with cliques and chordless cycles ' , Physical Review E , vol. 107 , 054303 . https://doi.org/10.1103/PhysRevE.107.054303
Publication
Physical Review E
Status
Peer reviewed
ISSN
1539-3755Type
Journal article
Rights
Copyright © 2023 American Physical Society. This work has been made available online in accordance with publisher policies or with permission. Permission for further reuse of this content should be sought from the publisher or the rights holder. This is the final published version of the work, which was originally published at https://doi.org/10.1103/PhysRevE.107.054303.
Description
Funding: This work was partially supported by the UK Engineering and Physical Sciences Research Council under grant number EP/N007565/1 (Science of Sensor Systems Software).Collections
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