Network regression and supervised centrality estimation
Junhui Cai,
Dan Yang,
Ran Chen,
Wu Zhu,
Haipeng Shen and
Linda Zhao
Papers from arXiv.org
Abstract:
The centrality in a network is often used to measure nodes' importance and model network effects on a certain outcome. Empirical studies widely adopt a two-stage procedure, which first estimates the centrality from the observed noisy network and then infers the network effect from the estimated centrality, even though it lacks theoretical understanding. We propose a unified modeling framework to study the properties of centrality estimation and inference and the subsequent network regression analysis with noisy network observations. Furthermore, we propose a supervised centrality estimation methodology, which aims to simultaneously estimate both centrality and network effect. We showcase the advantages of our method compared with the two-stage method both theoretically and numerically via extensive simulations and a case study in predicting currency risk premiums from the global trade network.
Date: 2021-11, Revised 2025-02
New Economics Papers: this item is included in nep-ecm and nep-net
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Persistent link: https://EconPapers.repec.org/RePEc:arx:papers:2111.12921
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