CONSENSUS CLUSTERING USING WEIGHT OF CLUSTERS AND CLUSTERINGS: A DUAL-WEIGHTED APPROACH

Authors:

Sunandana Banerjee,Deepti Bala Mishra,

DOI NO:

https://doi.org/10.26782/jmcms.2025.08.00012

Keywords:

Consensus Clustering,Clustering Ensemble,Clustering Techniques,Dual-Weighted Approach,

Abstract

This paper presents a novel consensus clustering framework that integrates both cluster-level and clustering-level weighting strategies. Traditional consensus clustering methods either weight the clusters or the base clusterings, but often fail to optimally combine these two strategies. We propose a dual-weighting scheme where weights are assigned to clusters based on internal and external consistency, and to the base clusterings based on their agreement with the ensemble. By applying a combined weight, we ensure that both high-quality clusters and consistent clusterings contribute more to the final consensus. Experimental results on several benchmark datasets demonstrate the superiority of the proposed method over existing clustering ensemble techniques.

Refference:

I. Ali, N., M. S. Uddin, J. M. Kim: “A Cluster Validity Index-Based Weighted Clustering Ensemble Framework.” Information Sciences, vol. 478, 2019, pp. 238-55. 10.1016/j.ins.2018.11.053.
II. Banerjee, A.: “Leveraging Frequency and Diversity Based Ensemble Selection to Consensus Clustering.” 2014 Seventh International Conference on Contemporary Computing (IC3), 2014, pp. 123-29.
III. Banerjee, A., B. Pati, C. Panigrahi: “SC2: A Selection Based Consensus Clustering Approach.” International Conference on Advanced Computing and Intelligent Engineering (ICACIE 2016), Springer, 2016.
IV. Banerjee, A., C. Panigrahi, B. Pati, S. Nayak: “Entropy-Based Cluster Selection.” Progress in Advanced Computing and Intelligent Engineering, Springer, 2021, pp. 313-21.
V. Banerjee, A., S. Nayak, C. Panigrahi, B. Pati: “Clustering Ensemble by Clustering Selected Weighted Clusters.” International Journal of Computational Science and Engineering, vol. 27, no. 2, 2024, pp. 159-66.
VI. Calinski, T., J. Harabasz: “A Dendrite Method for Cluster Analysis.” Communications in Statistics – Theory and Methods, vol. 3, no. 1, 1974, pp. 1-27. 10.1080/03610927408827101.

VII. Dunn, J. C.: “Well-Separated Clusters and Optimal Fuzzy Partitions.” Journal of Cybernetics, vol. 4, no. 1, 1974, pp. 95-104. 10.1080/01969727408546059.
VIII. Dua, D., C. Graff: UCI Machine Learning Repository. University of California, Irvine, School of Information and Computer Sciences, 2019. archive.ics.uci.edu/ml.
IX. Fred, A. L., A. K. Jain: “Finding Consistent Clusters in Data Partitions.” Proc. 3rd Int. Workshop on Multiple Classifier Systems, 2002, pp. 309-18.
X. Geddes, T.: “Autoencoder-Based Cluster Ensembles for Single-Cell RNA-seq Data Analysis.” BMC Bioinformatics, vol. 20, 2019, p. 660.
XI. Gu, Q., Y. Wang, P. Wang, X. Li, L. Chen, N. N. Xiong, D. Liu: “An Improved Weighted Ensemble Clustering Based on Two-Tier Uncertainty Measurement.” Expert Systems with Applications, vol. 238, 2024, art. 121672. 10.1016/j.eswa.2023.121672.
XII. Halkidi, M., Y. Batistakis, M. Vazirgiannis: “On Clustering Validation Techniques.” Journal of Intelligent Information Systems, vol. 17, no. 2, 2001, pp. 107-45.
XIII. Huang, D., C. Wang, J. Lai: “LWMC: A Locally Weighted Meta-Clustering Algorithm for Ensemble Clustering.” Neural Information Processing: 24th International Conference, Springer, 2017, pp. 167-76.
XIV. Huang, D., C. Wang, J. Lai: “Locally Weighted Ensemble Clustering.” IEEE Transactions on Cybernetics, vol. 48, no. 5, 2018, pp. 1460-73.
XV. Huang, D., C. Wang, J. Wu, J. Lai, C. Kwoh: “Ultra-Scalable Spectral Clustering and Ensemble Clustering.” IEEE Transactions on Knowledge and Data Engineering, vol. 32, no. 6, 2020, pp. 1212-26. 10.1109/TKDE.2019.2903410.
XVI. Jia, J., X. Xiao, B. Liu, L. Jiao: “Bagging-Based Spectral Clustering Ensemble Selection.” Pattern Recognition Letters, vol. 32, no. 10, 2011, pp. 1456-67.
XVII. Li, N., S. Xu, H. Xu: “A Point-Cluster-Partition Architecture for Weighted Clustering Ensemble.” Neural Processing Letters, vol. 56, 2024, art. 183. 10.1007/s11063-024-11618-9.
XVIII. Nazari, A., M. Kargari, B. Mohammadzadeh Asl, R. Hosseini: “A Comprehensive Study of Clustering Ensemble Weighting Based on Cluster Quality and Diversity.” Pattern Analysis and Applications, vol. 22, no. 1, 2019, pp. 133-45.
XIX. Rand, W. M.: “Objective Criteria for the Evaluation of Clustering Methods.” Journal of the American Statistical Association, vol. 66, no. 336, 1971, pp. 846-50. 10.1080/01621459.1971.10482238.

XX. Rousseeuw, P. J.: “Silhouettes: A Graphical Aid to the Interpretation and Validation of Cluster Analysis.” Journal of Computational and Applied Mathematics, vol. 20, 1987, pp. 53-65. 10.1016/0377-0427(87)90125-7.
XXI. XXI. Sedghi, M., E. Akbari, H. Motameni, T. Banirostam: “Clustering Ensemble Extraction: A Knowledge Reuse Framework.” Advances in Data Analysis and Classification, 2024. 10.1007/s11634-024-00588-4.
XXII. Shan, Y., S. Li, F. Li, Y. Cui, M. Chen: “Dual-Level Clustering Ensemble Algorithm with Three Consensus Strategies.” Scientific Reports, vol. 13, 2023. 10.1038/s41598-023-49947-9.
XXIII. Strehl, A., J. Ghosh: “Cluster Ensembles – A Knowledge Reuse Framework for Combining Multiple Partitions.” Journal of Machine Learning Research, vol. 3, 2002, pp. 583-617.
XXIV. Tatarnikov, V. V., I. A. Pestunov, V. B. Berikov: “Centroid Averaging Algorithm for a Clustering Ensemble.” Computer Optics, vol. 41, no. 5, 2017, pp. 712-18. 10.18287/2412-6179-2017-41-5-712-718.
XXV. Vega-Pons, S., E. Correa-Morris, J. Ruiz-Shulcloper: “Weighted Partition Consensus via Kernels.” Pattern Recognition, vol. 41, no. 6, 2008, pp. 1943-53. 10.1016/j.patcog.2007.11.018.
XXVI. Vinh, N. X., J. Epps, J. Bailey: “Information Theoretic Measures for Clusterings Comparison: Variants, Properties, Normalization and Correction for Chance.” Journal of Machine Learning Research, vol. 11, 2010, pp. 2837-54.
XXVII. Yang, H., S. Wang, C. Zhou: “A Novel Clustering Ensemble Method Based on Community Detection in Complex Networks.” Neurocomputing, vol. 214, 2016, pp. 598-605. 10.1016/j.neucom.2016.06.012.
XXVIII. Zhang, M.: “Weighted Clustering Ensemble: A Review.” Pattern Recognition, vol. 124, 2022, art. 108428. 10.1016/j.patcog.2021.108428.
XXIX. Zhou, Z., W. Tang: “Clusterer Ensemble.” Knowledge-Based Systems, vol. 19, no. 1, 2006, pp. 77-83.

View Download