Estimating Network Models using Neural Networks

Fuente: arXiv
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Auteur principal: Mele, Angelo
Format: Preprint
Publié: 2025
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author Mele, Angelo
author_facet Mele, Angelo
contents Exponential random graph models (ERGMs) are very flexible for modeling network formation but pose difficult estimation challenges due to their intractable normalizing constant. Existing methods, such as MCMC-MLE, rely on sequential simulation at every optimization step. We propose a neural network approach that trains on a single, large set of parameter-simulation pairs to learn the mapping from parameters to average network statistics. Once trained, this map can be inverted, yielding a fast and parallelizable estimation method. The procedure also accommodates extra network statistics to mitigate model misspecification. Some simple illustrative examples show that the method performs well in practice.
format Preprint
id arxiv_https___arxiv_org_abs_2502_01810
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Estimating Network Models using Neural Networks
Mele, Angelo
Social and Information Networks
Econometrics
Computation
Machine Learning
Exponential random graph models (ERGMs) are very flexible for modeling network formation but pose difficult estimation challenges due to their intractable normalizing constant. Existing methods, such as MCMC-MLE, rely on sequential simulation at every optimization step. We propose a neural network approach that trains on a single, large set of parameter-simulation pairs to learn the mapping from parameters to average network statistics. Once trained, this map can be inverted, yielding a fast and parallelizable estimation method. The procedure also accommodates extra network statistics to mitigate model misspecification. Some simple illustrative examples show that the method performs well in practice.
title Estimating Network Models using Neural Networks
topic Social and Information Networks
Econometrics
Computation
Machine Learning
url https://arxiv.org/abs/2502.01810