The Annals of Applied Statistics

Analysis of multiview legislative networks with structured matrix factorization: Does Twitter influence translate to the real world?

Shawn Mankad and George Michailidis

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Abstract

The rise of social media platforms has fundamentally altered the public discourse by providing easy to use and ubiquitous forums for the exchange of ideas and opinions. Elected officials often use such platforms for communication with the broader public to disseminate information and engage with their constituencies and other public officials. In this work, we investigate whether Twitter conversations between legislators reveal their real-world position and influence by analyzing multiple Twitter networks that feature different types of link relations between the Members of Parliament (MPs) in the United Kingdom and an identical data set for politicians within Ireland. We develop and apply a matrix factorization technique that allows the analyst to emphasize nodes with contextual local network structures by specifying network statistics that guide the factorization solution. Leveraging only link relation data, we find that important politicians in Twitter networks are associated with real-world leadership positions, and that rankings from the proposed method are correlated with the number of future media headlines.

Article information

Source
Ann. Appl. Stat. Volume 9, Number 4 (2015), 1950-1972.

Dates
Received: October 2014
Revised: July 2015
First available in Project Euclid: 28 January 2016

Permanent link to this document
https://projecteuclid.org/euclid.aoas/1453993100

Digital Object Identifier
doi:10.1214/15-AOAS858

Mathematical Reviews number (MathSciNet)
MR3456360

Zentralblatt MATH identifier
06560816

Keywords
Matrix factorization networks influence Twitter

Citation

Mankad, Shawn; Michailidis, George. Analysis of multiview legislative networks with structured matrix factorization: Does Twitter influence translate to the real world?. Ann. Appl. Stat. 9 (2015), no. 4, 1950--1972. doi:10.1214/15-AOAS858. https://projecteuclid.org/euclid.aoas/1453993100.


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Supplemental materials

  • Supplement to “Analysis of multiview legislative networks with structured matrix factorization: Does Twitter influence translate to the real world?”. We provide additional simulation results, details and derivations for estimation algorithms, and detailed Poisson regression results.