Stasi, D;
Sadeghi, K;
Rinaldo, A;
Petrovic, S;
Fienberg, S;
(2015)
β models for random hypergraphs with a given degree sequence.
In:
21st International Conference on Computational Statistics (COMPSTAT 2014):Hosting the 5th IASC World Conference.
(pp. pp. 593-600).
International Statistical Institute (ISI): Geneva, Switzerland..
Preview |
Text
beta-model-hypergraphs-compstat.pdf - Accepted Version Download (1MB) | Preview |
Abstract
We introduce the beta model for random hypergraphs in order to represent the occurrence of multi-way interactions among agents in a social network. This model builds upon and generalizes the well-studied beta model for random graphs, which instead only considers pairwise interactions. We provide two algorithms for fitting the model parameters, IPS (iterative proportional scaling) and fixed point algorithm, prove that both algorithms converge if maximum likelihood estimator (MLE) exists, and provide algorithmic and geometric ways of dealing the issue of MLE existence.
| Type: | Proceedings paper |
|---|---|
| Title: | β models for random hypergraphs with a given degree sequence |
| Event: | 21st International Conference on Computational Statistics |
| Location: | 21st International Conference on Computational Statistics |
| ISBN: | 9781634395854 |
| Open access status: | An open access version is available from UCL Discovery |
| Publisher version: | https://www.proceedings.com/24332.html |
| Language: | English |
| Additional information: | This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions. |
| Keywords: | Beta model, social networks, exponential random hypergraph model, ERGM, fixed point algorithm, IPS algorithm, likelihood function analysis. |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Statistical Science |
| URI: | https://discovery.ucl.ac.uk/id/eprint/10139737 |
Loading...
Loading...Loading...| 1. |  United States | 12 |
| 2. |  United Kingdom | 2 |
| 3. |  Russian Federation | 2 |
| 4. |  China | 1 |
| 5. |  Netherlands | 1 |
| 6. |  Mexico | 1 |
| 7. |  Ireland | 1 |
| 8. |  Australia | 1 |
Archive Staff Only
 |
View Item |
