Skip to main content

An Improved Spectral Clustering Based on Tissue-like P System

  • Conference paper
  • First Online:
Bio-Inspired Computing: Theories and Applications (BIC-TA 2020)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 1363))

Abstract

Generally, spectral clustering (SC) includes two steps. First, the similarity matrix is obtained from the original data, then perform k-means clustering based on the similarity matrix. For k-means algorithm, the choice of initial clustering center limits its clustering performance. To solve this problem, this paper proposes an improved spectral clustering algorithm based on tissue-like P system, called ISCTP. It replaces k-means algorithm in spectral clustering with k-means++ to improve the arbitrariness of initial point selection. k-means algorithm needs to artificially determine the initial clustering center, different clustering centers may lead to completely different results. While k-means++ can effectively refine this disadvantage, the basic idea of k-means++ is that the distance of different clustering centers should be as far as possible. In addition, we combine k-means++ with the tissue-like P system that has unique extremely parallel nature and can greatly improves the efficiency of the algorithm. The experimental results of UCI and artificial datasets prove the effectiveness of our proposed method.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Similar content being viewed by others

References

  1. Pan, L., Pérez-Jiménez, M.: Computational complexity of tissue-like P systems. J. Complex. 26(3), 296–315 (2010)

    Article  MathSciNet  Google Scholar 

  2. Păun, G.: Computing with membranes. J. Comput. Syst. Sci. 61(1), 108–143 (2000)

    Article  MathSciNet  Google Scholar 

  3. Frisco, P.: Computing with Cells: Advances in Membrane Computing. Oxford University Press, Oxford (2009)

    Book  Google Scholar 

  4. Daniel, D.-P., Pérez-Jiménez, M.J., Romero-Jiménez, Á.: Efficient simulation of tissue-like P systems by transition cell-like P system. Nat. Comput. 8(4), 797–806 (2009)

    Article  MathSciNet  Google Scholar 

  5. Zhang, Z., Liu, X.: An improved spectral clustering algorithm based on cell-like P system. In: Milošević, D., Tang, Y., Zu, Q. (eds.) HCC 2019. LNCS, vol. 11956, pp. 626–636. Springer, Cham (2019). https://doi.org/10.1007/978-3-030-37429-7_64

    Chapter  Google Scholar 

  6. Zhu, X., Zhang, S., He, W., Hu, R., Lei, C., Zhu, P.: One-step multi-view spectral clustering. IEEE Trans. Knowl. Data Eng. 31(10), 2022–2034 (2019)

    Article  Google Scholar 

  7. Gao, B., Liu, T.-Y., Zheng, X., Cheng, Q.-S., Ma, W.-Y., Qin, T.: Web image clustering by consistent utilization of visual features and surrounding texts. In: Proceedings of the 13th Annual ACM International Conference on Multimedia (2005)

    Google Scholar 

  8. Yang, Y., Xu, D., Yan, S., Nie, F., Yan, S., Zhuang, Y.: Image clustering using local discriminant models and global integration. IEEE Trans. Image Process. 19(10), 2761–2773 (2010)

    Article  MathSciNet  Google Scholar 

  9. Tsekouras, G.J., Hatziargyriou, N.D., Dialynas, E.N.: Two-stage pattern recognition of load curves for classification of electricity customers. IEEE Trans. Power Syst. 22(3), 1120–1128 (2007)

    Article  Google Scholar 

  10. Cao, J., Li, H.: Energy-efficient structuralized clustering for sensor-based cyber physical systems. In: Ubiquitous, Autonomic and Trusted Computing, pp. 234–239 (2009)

    Google Scholar 

  11. Yeung, K.Y., Ruzzo, W.L.: Principal component analysis for clustering gene expression data. Bioinformatics 17(9), 763–774 (2001)

    Article  Google Scholar 

  12. Von Luxburg, U., Planck, M.: A tutorial on spectral clustering. Stat. Comput. 17(4), 395–416 (2007)

    Article  MathSciNet  Google Scholar 

  13. Verma, D., Meila, M.: A comparison of spectral clustering algorithms. University of Washington Technical report UWCSE030501, pp. 1–18 (2003)

    Google Scholar 

  14. Shi, J., Malik, J.: Normalized cuts and image segmentation. IEEE Trans. Pattern Anal. Mach. Intell. 22(8), 888–905 (2000)

    Article  Google Scholar 

  15. Hagen, L., Kahng, A.: New spectral methods for ratio cut partitioning and clustering. IEEE Trans. Comput. Aided Des. Integr. Circuits Syst. 11(9), 1074–1085 (1992)

    Article  Google Scholar 

  16. Ng, A., Jordan, M., Weiss, Y.: On spectral clustering: Analysis and an algorithm. Adv. Neural. Inf. Process. Syst. 2, 849–856 (2002)

    Google Scholar 

  17. Afzalan, M., Jazizadeh, F.: An automated spectral clustering for multi-scale data. Neurocomputing 347, 94–108 (2019)

    Article  Google Scholar 

  18. Tzortzis, G., Likas, A.: The minmax k-means clustering algorithm. Pattern Recogn. 47(7), 2505–2516 (2014)

    Article  Google Scholar 

  19. Peng, B., Zhang, L., Zhang, D.: A survey of graph theoretical approaches to image segmentation. Pattern Recogn. 46(3), 1020–1038 (2013)

    Article  Google Scholar 

  20. Jiang, Z., Liu, X., Sun, M.: A density peak clustering algorithm based on the K-nearest Shannon entropy and tissue-like P system. Math. Probl. Eng. 2019, 1–13 (2019)

    MATH  Google Scholar 

Download references

Acknowledgement

This research project is supported by National Natural Science Foundation of China (61876101, 61802234, 61806114), Social Science Fund Project of Shandong Province, China (16BGLJ06, 11CGLJ22), Natural Science Fund Project of Shandong Province, China (ZR2019QF007), Postdoctoral Project, China (2017M612339, 2018M642695), Humanities and Social Sciences Youth Fund of the Ministry of Education, China (19YJCZH244), Postdoctoral Special Funding Project, China (2019T120607).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Xiyu Liu .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2021 Springer Nature Singapore Pte Ltd.

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Yin, X., Liu, X. (2021). An Improved Spectral Clustering Based on Tissue-like P System. In: Pan, L., Pang, S., Song, T., Gong, F. (eds) Bio-Inspired Computing: Theories and Applications. BIC-TA 2020. Communications in Computer and Information Science, vol 1363. Springer, Singapore. https://doi.org/10.1007/978-981-16-1354-8_34

Download citation

  • DOI: https://doi.org/10.1007/978-981-16-1354-8_34

  • Published:

  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-16-1353-1

  • Online ISBN: 978-981-16-1354-8

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics