Hill Publishing Group | contact@hillpublisher.com

Hill Publishing Group

Location:Home / Journals / Journal of Applied Mathematics and Computation /


Research on Importance and Correlation Evaluation of Music Network Nodes Based on Page Rank Algorithm

Date: July 8,2022 |Hits: 2225 Download PDF How to cite this paper

Yinglin Ge, Yuxuan He*

School of Precision Instrument and Opto-Electronics Engineering, Tianjin University, Tianjin 300072, China.

*Corresponding author: Yuxuan He


Music is an indispensable part of our life, affects every aspect of social life. Quantifying music changes and influences plays a big role in the understanding of existing music and optimization of future music development. This paper, using the data given by 2021ICM, builds a model to value the influence of music and uses it to analysis music evolution as well as the relationship between the musicians and music genres. Creating model based on the PageRank algorithm along with the calculation method of the paper’s impact factor (IF) can measure the importance (influence level) of nodes (individual musicians) in complex network and achieve the dual construction of qualitative and quantitative network. Moreover, the paper establishes the model of similarity metrics in order to measure music similarity. Pearson correlation coefficient is used to assess the similarity of songs in the same genre and the similarity of different artists, accompanied with the aid of Python to process large amounts of data.


[1] Xing, W., Ghorbani, A. (2004). Weighted pagerank algorithm [C]//Proceedings. Second Annual Conference on Communication Networks and Services Research, 2004. IEEE, 2004: 305-314.

[2] Kermarrec, A. M., Le Merrer, E., Sericola, B., et al. (2011). Second order centrality: Distributed assessment of nodes criticity in complex networks [J]. Computer Communications, 2011, 34(5): 619-628.

[3] Wu, J., Tan, Y., Deng, H., et al. (2007). Evaluating node importance considering cascading failure in complex load-networks [J]. MINIMICRO SYSTEMS-SHENYANG-, 2007, 28(4): 627.

[4] Zhang Kun, Li Peipei, Zhu Baoping, Hu Manyu. (2013). A PageRank Based Method for Node Importance Evaluation in Directed Weighted Complex Networks [J]. Journal of Nanjing University of Aeronautics and Astronautics, 2013, 45(03): 429-434.

[5] Stephen M. Stigler. (1989). Francis Galton’s account of the invention of correlation [J]. Statistical Science, 1989, 4(2): 73-79.

[6] Benesty, J., Chen, J., Huang, Y., et al. (2009). Pearson correlation coefficient [M]//Noise reduction in speech processing. Springer, Berlin, Heidelberg, 2009: 1-4.

How to cite this paper

Research on Importance and Correlation Evaluation of Music Network Nodes Based on Page Rank Algorithm

How to cite this paper:  Yinglin Ge, Yuxuan He. (2022) Research on Importance and Correlation Evaluation of Music Network Nodes Based on Page Rank Algorithm. Journal of Applied Mathematics and Computation6(2), 267-272.

DOI: http://dx.doi.org/10.26855/jamc.2022.06.012

Volumes & Issues

Free HPG Newsletters

Add your e-mail address to receive free newsletters from Hill Publishing Group.

Contact us

Hill Publishing Group

8825 53rd Ave

Elmhurst, NY 11373, USA

E-mail: contact@hillpublisher.com

Copyright © 2019 Hill Publishing Group Inc. All Rights Reserved.