@inproceedings{42751aa8571b4603a452685b7edd7af0,
title = "Parameter estimators of sparse random intersection graphs with thinned communities",
abstract = "This paper studies a statistical network model generated by a large number of randomly sized overlapping communities, where any pair of nodes sharing a community is linked with probability q via the community. In the special case with q= 1 the model reduces to a random intersection graph which is known to generate high levels of transitivity also in the sparse context. The parameter q adds a degree of freedom and leads to a parsimonious and analytically tractable network model with tunable density, transitivity, and degree fluctuations. We prove that the parameters of this model can be consistently estimated in the large and sparse limiting regime using moment estimators based on partially observed densities of links, 2-stars, and triangles.",
author = "Joona Karjalainen and \{van Leeuwaarden\}, \{Johan S.H.\} and Lasse Leskel{\"a}",
year = "2018",
month = jan,
day = "1",
doi = "10.1007/978-3-319-92871-5\_4",
language = "English",
isbn = "978-3-319-92870-8",
series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",
publisher = "Springer",
pages = "44--58",
editor = "A. Bonato and P. Pralat and A, Raigorodskii",
booktitle = "Algorithms and Models for the Web Graphs",
address = "Germany",
note = "15th Workshop on Algorithms and Models for the Web Graph, WAW 2018 ; Conference date: 17-05-2018 Through 18-05-2018",
}