SCIENCE CHINA Information Sciences, Volume 63 , Issue 2 : 129303(2020) https://doi.org/10.1007/s11432-019-9841-4

## A data analysis of political polarization using random matrix theory

• AcceptedMar 25, 2019
• PublishedSep 12, 2019
Share
Rating

### Acknowledgment

This work was supported in part by National Science Fund for Distinguished Young Scholars (Grant No. 61325006), in part by National Nature Science Foundation of China (Grant No. 61631005), in part by Beijing Municipal Science and Technology Project (Grant No. Z181100003218005), and in part by 111 Project of China (Grant No. B16006).

### References

[1] Bello-Orgaz G, Jung J J, Camacho D. Social big data: Recent achievements and new challenges. Inf Fusion, 2016, 28: 45-59 CrossRef Google Scholar

[2] Cui Q, Gong Z, Ni W. Stochastic Online Learning for Mobile Edge Computing: Learning from Changes. IEEE Commun Mag, 2019, 57: 63-69 CrossRef Google Scholar

[3] Couillet R, Debbah M. Random Matrix Methods for Wireless Communications. Cambridge: Cambridge University Press, 2011. Google Scholar

[4] Bai Z, Silverstein J W. Spectral Analysis of Large Dimensional Random Matrices. New York: Springer, 2010. Google Scholar

[5] Yang Y, Shen F, Huang Z. Discrete Nonnegative Spectral Clustering. IEEE Trans Knowl Data Eng, 2017, 29: 1834-1845 CrossRef Google Scholar

[6] Michael D, Carroll, D, Jocelyn K, et al. Political Polarization in the American Public. Pew Research Center, 2014. http://www.people-press.org/2014/06/12/political-polarization-in-the-american-public/. Google Scholar

[7] Vallet P, Loubaton P, Mestre X. Improved Subspace Estimation for Multivariate Observations of High Dimension: The Deterministic Signals Case. IEEE Trans Inform Theor, 2012, 58: 1043-1068 CrossRef Google Scholar

• Figure 1

(Color online) Results. (a) Eigenvalue distributions of Democrats and Republicans with the number of questions $N~=~10$ and the number of respondents $n~=~100$; (b) entropy estimations using RMT and LD; (c) list of the entropy increments.

Citations

• #### 0

Altmetric

Copyright 2020  CHINA SCIENCE PUBLISHING & MEDIA LTD.  中国科技出版传媒股份有限公司  版权所有