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Network regression and supervised centrality estimation

Junhui Cai, Dan Yang, Ran Chen, Wu Zhu, Haipeng Shen, Linda Zhao

arXiv 25 Nov 2021 · Econometrics · publishedJournal of the American Statistical Association (2026) · 1 citations (OpenAlex)

arXiv:2111.12921 · PDF · DOI · OpenAlex · Extracted main text

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.

Citation extraction

81
references
108
in-text mentions
89
distinct cited
4
self-citations
11,744
main-text words

appendix boundary found by appendix_command · 28% of the source is main text. Read the extracted text to check this.

Most heavily cited references

The works this paper leans on most, across its whole bibliography — not restricted to papers in our corpus. Ranked by composite intensity, which combines how often a work is mentioned, how many sections mention it, and how much of that falls in the main text rather than the appendix.

ReferenceIntensityMentionsSectionsMain text
1Richmond, R. J (2019) Trade network centrality and currency risk premia0.87482100%
2Han, X., Yang, Q., and Fan, Y (2023) Universal rank inference via residual subsampling with application to large networks0.5112250%
3Ahern, K. R (2013) Network centrality and cross section of stock returns0.51121100%
4Allen, F., Cai, J., Gu, X., Qian, J., Zhao, L., and Zhu, W (2019) Ownership network and firm growth: What do five million companies tell about chinese economy self0.51121100%
5Banerjee, A., Chandrasekhar, A. G., Duflo, E., and Jackson, M. O (2013) The diffusion of microfinance0.51121100%
6Kleinberg, J. M (1999) Authoritative sources in a hyperlinked environment0.51121100%
7Lakhina, A., Byers, J. W., Crovella, M., and Xie, P (2003) Sampling biases in IP topology measurements0.51121100%
8Shabalin, A. A. and Nobel, A. B (2013) Reconstruction of a low-rank matrix in the presence of gaussian noise0.51121100%
9Yang, Y. and Zhu, W (2020) Networks and business cycles self0.51121100%
10Banerjee, D. and Ma, Z (2017) Optimal hypothesis testing for stochastic block models with growing degrees0.40511100%

Showing the top 10 of 89 scored citations.

Cited by, within the corpus

arXiv econ.EM papers that cite this one, ranked by how heavily they lean on it.

Citing paperIntensityMentionsSections
11 Linear Regression with Centrality Measures1.00053
2Hypothesis testing on invariant subspaces of non-diagonalizable matrices with applications to network statistics0.40511