Skip to main content
Log in

Fuzzy K-means clustering with fast density peak clustering on multivariate kernel estimator with evolutionary multimodal optimization clusters on a large dataset

  • Published:
Multimedia Tools and Applications Aims and scope Submit manuscript

Abstract

Many conventional optimization approaches concentrate more on addressing only one appropriate solution. Thus, these methods were to be utilized often, hence there were no chances of producing the intended solution. Therefore, the issue of multimodal optimization has to be considered. So, to reduce the difficulties by the clustering and further, it followed by the optimization technique. Here, the variety of real-time and artificial techniques are used. Using the FCDP-Fast Clustering with Density Peak, we calculate the density values after determining the center with the help of objective function. Then, the fuzzy clustering is applied to form the clustered groups with the density and center values. Finally, we optimize the data using the CDE-Crowding Differential Evaluation methodology. Performance analysis is then proceeded with some existing methods by using the performance metrics like NMI and ARI. After validation, it concluded that the proposed method was superior to the existing method.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7

Similar content being viewed by others

References

  1. Ahrari A, Deb K, Preuss M (2017) Multimodal optimization by covariance matrix self-adaptation evolution strategy with repelling subpopulations. Evol Comput 25:439–471

    Article  Google Scholar 

  2. Amiri E, Mahmoudi S (2016) Efficient protocol for data clustering by fuzzy cuckoo optimization algorithm. Appl Soft Comput 41:15–21

    Article  Google Scholar 

  3. Bryant A, Cios K (2018) RNN-DBSCAN: a density-based clustering algorithm using reverse nearest neighbor density estimates. IEEE Trans Knowl Data Eng 30:1109–1121

    Article  Google Scholar 

  4. Calfa BA, Grossmann IE, Agarwal A, Bury SJ, Wassick JM (2015) Data-driven individual and joint chance-constrained optimization via kernel smoothing. Comput Chem Eng 78:51–69

    Article  Google Scholar 

  5. Chander S, Vijaya P, Dhyani P (2018) Multi kernel and dynamic fractional lion optimization algorithm for data clustering. Alexandria engineering journal 57:267–276

    Article  Google Scholar 

  6. Das P, Das DK, Dey S (2018) A modified bee Colony optimization (MBCO) and its hybridization with k-means for an application to data clustering. Appl Soft Comput 70:590–603

    Article  Google Scholar 

  7. Emami H, Derakhshan F (2015) Integrating fuzzy K-means, particle swarm optimization, and imperialist competitive algorithm for data clustering. Arab J Sci Eng 40:3545–3554

    Article  Google Scholar 

  8. Fouedjio F (2016) A hierarchical clustering method for multivariate geostatistical data. Spatial Statistics 18:333–351

    Article  MathSciNet  Google Scholar 

  9. Heil J, Häring V, Marschner B, Stumpe B (2019) Advantages of fuzzy k-means over k-means clustering in the classification of diffuse reflectance soil spectra: a case study with west African soils. Geoderma 337:11–21

    Article  Google Scholar 

  10. Hou J, Zhang A (2019) “Enhancing density peak clustering via density normalization,” IEEE Transactions on Industrial Informatics

  11. Jia H, Cheung Y-M (2017) Subspace clustering of categorical and numerical data with an unknown number of clusters. IEEE transactions on neural networks and learning systems 29:3308–3325

    MathSciNet  Google Scholar 

  12. Liang J, Yang J, Cheng M-M, Rosin PL, Wang L (2019) Simultaneous subspace clustering and cluster number estimating based on triplet relationship. IEEE Trans Image Process 28:3973–3985

    Article  MathSciNet  Google Scholar 

  13. Matioli L, Santos S, Kleina M, Leite E (2018) A new algorithm for clustering based on kernel density estimation. J Appl Stat 45:347–366

    Article  MathSciNet  Google Scholar 

  14. Mittal M, Goyal LM, Hemanth DJ, Sethi JK (2019) Clustering approaches for high-dimensional databases: a review. Wiley Interdisciplinary Reviews: Data Mining and Knowledge Discovery 9:e1300

    Google Scholar 

  15. Nayak J, Naik B, Kanungo D, Behera H (2018) A hybrid elicit teaching learning based optimization with fuzzy c-means (ETLBO-FCM) algorithm for data clustering. Ain Shams Engineering Journal 9:379–393

    Article  Google Scholar 

  16. Nguyen TPQ, Kuo R (2019) Partition-and-merge based fuzzy genetic clustering algorithm for categorical data. Appl Soft Comput 75:254–264

    Article  Google Scholar 

  17. Nock R, Nielsen F (2006) On weighting clustering. IEEE Trans Pattern Anal Mach Intell 28:1223–1235

    Article  Google Scholar 

  18. Panagiotakis C (2015) Point clustering via voting maximization. J Classif 32:212–240

    Article  MathSciNet  Google Scholar 

  19. Parzen E (1962) On the estimation of a probability density function and mode. Ann Math Stat 33:1065–1076

    Article  MathSciNet  Google Scholar 

  20. Qu B, Liang J, Wang Z, Chen Q, Suganthan PN (2016) Novel benchmark functions for continuous multimodal optimization with comparative results. Swarm and Evolutionary Computation 26:23–34

    Article  Google Scholar 

  21. Scognamiglio L, Magnoni F, Tinti E, Casarotti E (2016) Uncertainty estimations for moment tensor inversions: the issue of the 2012 may 20 Emilia earthquake. Geophys J Int 206:792–806

    Article  Google Scholar 

  22. Sengupta S, Basak S, and Peters RA (2018) “Data clustering using a hybrid of fuzzy c-means and quantum-behaved particle swarm optimization,” in 2018 IEEE 8th Annual Computing and Communication Workshop and Conference (CCWC), p 137–142

  23. Sitompul O, Nababan E (2018) “Optimization model of K-Means clustering using artificial neural networks to handle class imbalance problem,” in IOP Conference Series: Materials Science and Engineering, p 012075

  24. Wang Y, Chen L (2017) Multi-view fuzzy clustering with minimax optimization for effective clustering of data from multiple sources. Expert Syst Appl 72:457–466

    Article  Google Scholar 

  25. Wang W, He Y, Ma L, Huang JZZ (2019) Latent feature group learning for high-dimensional data clustering. Information 10:208

    Article  Google Scholar 

  26. Wang Z-J, Zhan Z-H, Lin Y, Yu W-J, Yuan H-Q, Gu T-L et al (2017) Dual-strategy differential evolution with affinity propagation clustering for multimodal optimization problems. IEEE Trans Evol Comput 22:894–908

    Article  Google Scholar 

  27. Wong KC (2015) “Evolutionary multimodal optimization: A short survey,” arXiv preprint arXiv:1508.00457

  28. Wu X, Wu B, Sun J, Qiu S, Li X (2015) A hybrid fuzzy K-harmonic means clustering algorithm. Appl Math Model 39:3398–3409

    Article  Google Scholar 

  29. Xu J, Han J, Xiong K, Nie F (2016) “Robust and Sparse Fuzzy K-Means Clustering,” in IJCAI, pp. 2224–2230

  30. Xu S, Liu S, Zhou J, Feng L (2019) Fuzzy rough clustering for categorical data. Int J Mach Learn Cybern 10:3213–3223

    Article  Google Scholar 

  31. Xu J, Wang G, Deng W (2016) DenPEHC: density peak based efficient hierarchical clustering. Inf Sci 373:200–218

    Article  Google Scholar 

  32. Yang Q, Chen W-N, Yu Z, Gu T, Li Y, Zhang H et al (2016) Adaptive multimodal continuous ant colony optimization. IEEE Trans Evol Comput 21:191–205

    Article  Google Scholar 

  33. Yang C-L, Kuo R, Chien C-H, Quyen NTP (2015) Non-dominated sorting genetic algorithm using fuzzy membership chromosome for categorical data clustering. Appl Soft Comput 30:113–122

    Article  Google Scholar 

  34. Yu W-J, Ji J-Y, Gong Y-J, Yang Q, Zhang J (2018) A tri-objective differential evolution approach for multimodal optimization. Inf Sci 423:1–23

    Article  MathSciNet  Google Scholar 

  35. Zhong C, Hu L, Yue X, Luo T, Fu Q, Xu H (2019) Ensemble clustering based on evidence extracted from the co-association matrix. Pattern Recogn 92:93–106

    Article  Google Scholar 

  36. Zhuo L, Li K, Liao B, Li H, Wei X, Li K (2019) HCFS: a density peak based clustering algorithm employing a hierarchical strategy. IEEE Access 7:74612–74624

    Article  Google Scholar 

  37. Zhuo L, Li K, Liao B, Lia H, Wei X, Lib K (2019) “HCFS: a density peak based clustering algorithm employing a hierarchical strategy,” IEEE Access

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to G. Surya Narayana.

Additional information

Publisher’s note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Narayana, G.S., Kolli, K. Fuzzy K-means clustering with fast density peak clustering on multivariate kernel estimator with evolutionary multimodal optimization clusters on a large dataset. Multimed Tools Appl 80, 4769–4787 (2021). https://doi.org/10.1007/s11042-020-09718-4

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11042-020-09718-4

Keywords

Navigation