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Efficient Bayesian inference for multiple network data

Abstract

We investigate distributional properties of the centered Erdős--Rényi distribution (Lunagòmez et al., 2021) and propose a semi-conjugate Bayesian approach to multiple network data. In simulations, both Gibbs sampling and empirical Bayes accurately recover network summaries, with the latter scaling efficiently with network size. As a companion to this note, we provide the R package BayesCER, which implements the proposed methodology.

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BibTeX
@misc{barile2026efficient,
  title = {{Efficient Bayesian inference for multiple network data}},
  author = {Francesco Barile and Sara Capozio and Bernardo Nipoti},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.01532},
  eprint = {2610.01532},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.01532},
}
RIS
TY  - UNPB
TI  - Efficient Bayesian inference for multiple network data
AU  - Francesco Barile
AU  - Sara Capozio
AU  - Bernardo Nipoti
PY  - 2026
DA  - 2026/10/01
PB  - arXiv
DO  - 10.48550/arxiv.2610.01532
UR  - https://arxiv.org/abs/2610.01532
AB  - We investigate distributional properties of the centered Erdős--Rényi distribution (Lunagòmez et al., 2021) and propose a semi-conjugate Bayesian approach to multiple network data. In simulations, both Gibbs sampling and empirical Bayes accurately recover network summaries, with the latter scaling efficiently with network size. As a companion to this note, we provide the R package BayesCER, which implements the proposed methodology.
ER  -