Volume 13
Issue 4
IEEE/CAA Journal of Automatica Sinica
| Citation: | M. Tanveer, M. Tabish, A. Kumari, A. K. Malik, and W. Ding, “Support vector clustering uncovered: Insights, challenges, and future outlook,” IEEE/CAA J. Autom. Sinica, vol. 13, no. 4, pp. 749–775, Apr. 2026. doi: 10.1109/JAS.2026.125804 |
| [1] |
C. M. Bishop, Pattern Recognition and Machine Learning. New York, USA: Springer, 2006.
|
| [2] |
S. Saha, A. K. Alok, and A. Ekbal, “Brain image segmentation using semi-supervised clustering,” Expert Syst. Appl., vol. 52, pp. 50–63, Jun. 2016. doi: 10.1016/j.eswa.2016.01.005
|
| [3] |
A. E. Ezugwu, A. M. Ikotun, O. O. Oyelade, L. Abualigah, J. O. Agushaka, C. I. Eke, and A. A. Akinyelu, “A comprehensive survey of clustering algorithms: State-of-the-art machine learning applications, taxonomy, challenges, and future research prospects,” Eng. Appl. Artif. Intell., vol. 110, Art. no. 104743, Apr. 2022. doi: 10.1016/j.engappai.2022.104743
|
| [4] |
M. R. Anderberg, Cluster Analysis for Applications: Probability and Mathematical Statistics: A Series of Monographs and Textbooks. Amsterdam, The Netherlands: Academic Press, 2014.
|
| [5] |
P. S. Bradley, O. L. Mangasarian, and W. N. Street, “Clustering via concave minimization,” in Proc. 10th Int. Conf. Neural Information Processing Systems, Cambridge, USA, 1996, pp. 368−374.
|
| [6] |
P. S. Bradley and O. L. Mangasarian, “K-plane clustering,” J. Global Optim., vol. 16, no. 1, pp. 23–32, Jan. 2000. doi: 10.1023/A:1008324625522
|
| [7] |
Y.-H. Shao, L. Bai, Z. Wang, X.-Y. Hua, and N.-Y. Deng, “Proximal plane clustering via eigenvalues,” Procedia Comput. Sci., vol. 17, pp. 41–47, 2013. doi: 10.1016/j.procs.2013.05.007
|
| [8] |
Z.-M. Yang, Y.-R. Guo, C.-N. Li, and Y.-H. Shao, “Local k-proximal plane clustering,” Neural Comput. Appl., vol. 26, no. 1, pp. 199–211, Jan. 2015. doi: 10.1007/s00521-014-1707-9
|
| [9] |
Y. Yuan, X. Luo, M. Shang, and Z. Wang, “A Kalman-filter-incorporated latent factor analysis model for temporally dynamic sparse data,” IEEE Trans. Cybern., vol. 53, no. 9, pp. 5788–5801, Sep. 2023. doi: 10.1109/TCYB.2022.3185117
|
| [10] |
F. Bi, X. Luo, B. Shen, H. Dong, and Z. Wang, “Proximal alternating-direction-method-of-multipliers-incorporated nonnegative latent factor analysis,” IEEE/CAA J. Autom. Sinica, vol. 10, no. 6, pp. 1388–1406, Jan. 2023. doi: 10.1109/JAS.2023.123474
|
| [11] |
Y. Yuan, J. Li, and X. Luo, “A fuzzy PID-incorporated stochastic gradient descent algorithm for fast and accurate latent factor analysis,” IEEE Trans. Fuzzy Syst., vol. 32, no. 7, pp. 4049–4061, Jul. 2024. doi: 10.1109/TFUZZ.2024.3389733
|
| [12] |
A. Ben-Hur, D. Horn, H. T. Siegelmann, and V. Vapnik, “Support vector clustering,” J. Mach. Learn. Res., vol. 2, pp. 125–137, Mar. 2002. doi: 10.1142/9789814335140_0009
|
| [13] |
V. N. Vapnik, “An overview of statistical learning theory,” IEEE Trans. Neural Networks, vol. 10, no. 5, pp. 988–999, Sep. 1999. doi: 10.1109/72.788640
|
| [14] |
X. Huang, L. Shi, and J. A. K. Suykens, “Support vector machine classifier with pinball loss,” IEEE Trans. Pattern Anal. Mach. Intell., vol. 36, no. 5, pp. 984–997, May 2014. doi: 10.1109/TPAMI.2013.178
|
| [15] |
Jayadeva, R. Khemchandani, and S. Chandra, “Twin support vector machines for pattern classification,” IEEE Trans. Pattern Anal. Mach. Intell., vol. 29, no. 5, pp. 905–910, May 2007. doi: 10.1109/TPAMI.2007.1068
|
| [16] |
Y.-H. Shao, C.-H. Zhang, X.-B. Wang, and N.-Y. Deng, “Improvements on twin support vector machines,” IEEE Trans. Neural Networks, vol. 22, no. 6, pp. 962–968, Jun. 2011. doi: 10.1109/TNN.2011.2130540
|
| [17] |
A. Kumari, M. Tanveer, and C.-T. Lin, “Class probability and generalized bell fuzzy twin SVM for imbalanced data,” IEEE Trans. Fuzzy Syst., vol. 32, no. 5, pp. 3037–3048, May 2024. doi: 10.1109/TFUZZ.2024.3366936
|
| [18] |
H. Huang, X. Wei, and Y. Zhou, “An overview on twin support vector regression,” Neurocomputing, vol. 490, pp. 80–92, Jun. 2022. doi: 10.1016/j.neucom.2021.10.125
|
| [19] |
M. A. Kumar and M. Gopal, “Least squares twin support vector machines for pattern classification,” Expert Syst. Appl., vol. 36, no. 4, pp. 7535–7543, May 2009. doi: 10.1016/j.eswa.2008.09.066
|
| [20] |
A. Kumari and M. Tanveer, “LSTSVR+: Least square twin support vector regression with privileged information,” Eng. Appl. Artif. Intell., vol. 136, Art. no. 108964, Oct. 2024. doi: 10.1016/j.engappai.2024.108964
|
| [21] |
M. Tanveer, T. Rajani, R. Rastogi, Y. H. Shao, and M. A. Ganaie, “Comprehensive review on twin support vector machines,” Ann. Oper. Res., vol. 339, no. 3, pp. 1223–1268, Aug. 2024. doi: 10.1007/s10479-022-04575-w
|
| [22] |
M. Tanveer, A. Sharma, and P. N. Suganthan, “General twin support vector machine with pinball loss function,” Inf. Sci., vol. 494, pp. 311–327, Aug. 2019. doi: 10.1016/j.ins.2019.04.032
|
| [23] |
M. Tanveer, A. Tiwari, R. Choudhary, and S. Jalan, “Sparse pinball twin support vector machines,” Appl. Soft Comput., vol. 78, pp. 164–175, May 2019. doi: 10.1016/j.asoc.2019.02.022
|
| [24] |
S. Rezvani, X. Wang, and F. Pourpanah, “Intuitionistic fuzzy twin support vector machines,” IEEE Trans. Fuzzy Syst., vol. 27, no. 11, pp. 2140–2151, Nov. 2019. doi: 10.1109/TFUZZ.2019.2893863
|
| [25] |
S. Rezvani and X. Wang, “Class imbalance learning using fuzzy ART and intuitionistic fuzzy twin support vector machines,” Inf. Sci., vol. 578, pp. 659–682, Nov. 2021. doi: 10.1016/j.ins.2021.07.010
|
| [26] |
M. Tanveer, M. A. Ganaie, A. Bhattacharjee, and C. T. Lin, “Intuitionistic fuzzy weighted least squares twin SVMs,” IEEE Trans. Cybern., vol. 53, no. 7, pp. 4400–4409, Jul. 2023. doi: 10.1109/TCYB.2022.3165879
|
| [27] |
Z. Wang, Y.-H. Shao, L. Bai, and N.-Y. Deng, “Twin support vector machine for clustering,” IEEE Trans. Neural Networks Learn. Syst., vol. 26, no. 10, pp. 2583–2588, Oct. 2015. doi: 10.1109/TNNLS.2014.2379930
|
| [28] |
J. MacQueen, “Some methods for classification and analysis of multivariate observations,” in Proc. 5th Berkeley Symp. on Mathematical Statistics and Probability, Oakland, USA, 1967, pp. 281−297.
|
| [29] |
A. Saxena, M. Prasad, A. Gupta, N. Bharill, O. P. Patel, A. Tiwari, M. J. Er, W. Ding, and C.-T. Lin, “A review of clustering techniques and developments,” Neurocomputing, vol. 267, pp. 664–681, Dec. 2017. doi: 10.1016/j.neucom.2017.06.053
|
| [30] |
F. Murtagh, “A survey of recent advances in hierarchical clustering algorithms,” Comput. J., vol. 26, no. 4, pp. 354–359, Nov. 1983. doi: 10.1093/comjnl/26.4.354
|
| [31] |
L. A. Zadeh, “Fuzzy sets,” in Proc. Fuzzy sets, fuzzy logic, and fuzzy systems: Selected papers by Lotfi A Zadeh. World Scientific, 1996, pp. 394−432.
|
| [32] |
J. C. Bezdek, Pattern Recognition with Fuzzy Objective Function Algorithms. Springer, 2013.
|
| [33] |
Z. Zhang, Y. Zhang, H. Tian, A. Martin, Z. Liu, and W. Ding, “A survey of evidential clustering: Definitions, methods, and applications,” Inf. Fusion, vol. 115, Art. no. 102736, Mar. 2025. doi: 10.1016/j.inffus.2024.102736
|
| [34] |
Z.-G. Su and T. Denoeux, “BPEC: Belief-peaks evidential clustering,” IEEE Trans. Fuzzy Syst., vol. 27, no. 1, pp. 111–123, Jan. 2019. doi: 10.1109/TFUZZ.2018.2869125
|
| [35] |
C. Gong and Y. You, “Self-filling evidential clustering for partial multi-view data,” Expert Syst. Appl., vol. 237, Art. no. 121614, Mar. 2024. doi: 10.1016/j.eswa.2023.121614
|
| [36] |
Z. Zhang, Z. Liu, L. Ning, A. Martin, and J. Xiong, “Representation of imprecision in deep neural networks for image classification,” IEEE Trans. Neural Networks Learn. Syst., vol. 36, no. 1, pp. 1199–1212, Jan. 2025. doi: 10.1109/TNNLS.2023.3329712
|
| [37] |
M. Ester, H.-P. Kriegel, J. Sander, X. Xu, “A density-based algorithm for discovering clusters in large spatial databases with noise,” in Proc. 2nd Int. Conf. Knowledge Discovery and Data Mining, Portland, Oregon, 1996, pp. 226−231.
|
| [38] |
G. Gan, C. Ma, J. Wu, “Model-Based Clustering Algorithms,” pp. 227−242. [Online]. Available: https://epubs.siam.org/doi/abs/10.1137/1.9780898718348.ch14
|
| [39] |
G. J. McLachlan and T. Krishnan, The EM Algorithm and Extensions. Hoboken: John Wiley & Sons, 2007.
|
| [40] |
T. M. Cover, “Geometrical and statistical properties of systems of linear inequalities with applications in pattern recognition,” IEEE Trans. Electron. Comput., vol. EC-14, no. 3, pp. 326–334, Jun. 1965. doi: 10.1109/PGEC.1965.264137
|
| [41] |
B. Schölkopf, A. Smola, and K.-R. Müller, “Nonlinear component analysis as a kernel eigenvalue problem,” Neural Comput., vol. 10, no. 5, pp. 1299–1319, Jul. 1998. doi: 10.1162/089976698300017467
|
| [42] |
M. Girolami, “Mercer kernel-based clustering in feature space,” IEEE Trans. Neural Networks, vol. 13, no. 3, pp. 780–784, May 2002. doi: 10.1109/TNN.2002.1000150
|
| [43] |
A. Ben-Hur, D. Horn, H. T. Siegelmann, and V. Vapnik, “A support vector clustering method,” in Proc. 15th Int. Conf. Pattern Recognition, Barcelona, Spain, 2000, pp. 724−727.
|
| [44] |
Z. Kang, Z. Lin, X. Zhu, and W. Xu, “Structured graph learning for scalable subspace clustering: From single view to multiview,” IEEE Trans. Cybern., vol. 52, no. 9, pp. 8976–8986, Sep. 2022. doi: 10.1109/TCYB.2021.3061660
|
| [45] |
Z. Kang, X. Xie, B. Li, and E. Pan, “CDC: A simple framework for complex data clustering,” IEEE Trans. Neural Networks Learn. Syst., vol. 36, no. 7, pp. 13177–13188, Jul. 2025. doi: 10.1109/TNNLS.2024.3473618
|
| [46] |
D. Huang, C.-D. Wang, J.-H. Lai, Y. Liang, S. Bian, and Y. Chen, “Ensemble-driven support vector clustering: From ensemble learning to automatic parameter estimation,” in Proc. 23rd Int. Conf. Pattern Recognition, Cancun, Mexico, 2016, pp. 444−449.
|
| [47] |
F. Pu, “Ensemble based support vector clustering,” in Proc. 2nd Int. Conf. Robotics and Autom. Engineering, Shanghai, China, 2017, pp. 496−500.
|
| [48] |
F. Pu, “Locally weighted support vector clustering,” in Proc. 3rd IEEE Int. Conf. Computer and Communications, Chengdu, China, 2017, pp. 2252−2256.
|
| [49] |
J. Fang, Q. Liu, and Z. Qin, “Iterative tighter nonparallel hyperplane support vector clustering with simultaneous feature selection,” Cluster Comput., vol. 22, no. 4, pp. 8035–8049, Jul. 2019. doi: 10.1007/s10586-017-1587-8
|
| [50] |
R. Qiu, Y. Sun, Z.-P. Fan, and M. Sun, “Robust multi-product inventory optimization under support vector clustering-based data-driven demand uncertainty set,” Soft Comput., vol. 24, no. 9, pp. 6259–6275, May 2020. doi: 10.1007/s00500-019-03927-2
|
| [51] |
Y. Wang, J. Chen, X. Xie, S. Yang, W. Pang, L. Huang, S. Zhang, and S. Zhao, “Minimum distribution support vector clustering,” Entropy, vol. 23, no. 11, Art. no. 1473, Nov. 2021. doi: 10.3390/e23111473
|
| [52] |
X. Peng, “TPMSVM: A novel twin parametric-margin support vector machine for pattern recognition,” Pattern Recognit., vol. 44, no. 10−11, pp. 2678–2692, Oct.−Nov. 2011. doi: 10.1016/j.patcog.2011.03.031
|
| [53] |
Y.-B. Jiang, W.-J. Chen, Y.-Q. Wang, M.-C. Zhang, and Y.-H. Shao, “MPMSVC: Multiple parametric-margin support vector clustering,” IEEE Access, vol. 9, pp. 24499–24512, Feb. 2021. doi: 10.1109/ACCESS.2021.3057367
|
| [54] |
H. Li, Y. Ping, B. Hao, C. Guo, and Y. Liu, “Improved boundary support vector clustering with self-adaption support,” Electronics, vol. 11, no. 12, Art. no. 1854, Jun. 2022. doi: 10.3390/electronics11121854
|
| [55] |
S. D. Asgari, E. Mohammadi, A. Makui, and M. Jafari, “Data-driven robust optimization based on position-regulated support vector clustering,” J. Comput. Sci., vol. 76, Art. no. 102210, Mar. 2024. doi: 10.1016/j.jocs.2024.102210
|
| [56] |
X. Li, F. Dong, Z. Wei, and C. Shang, “Data-driven contextual robust optimization based on support vector clustering,” Comput. Chem. Eng., vol. 195, Art. no. 109004, Apr. 2025. doi: 10.1016/j.compchemeng.2025.109004
|
| [57] |
H. Li and Y. Ping, “Recent advances in support vector clustering: Theory and applications,” Int. J. Pattern Recognit. Artif. Intell., vol. 29, no. 1, Art. no. 1550002, 2015. doi: 10.1142/S0218001415500020
|
| [58] |
A. B. S. Drid, D. Abdelhamid, and A. Taleb-Ahmed, “Support vector machine based clustering: A review,” in Proc. Int. Symp. iNnovative Informatics of Biskra, Biskra, Algeria, 2022, pp. 1−6.
|
| [59] |
R. Saltos and R. Weber, “A rough–fuzzy approach for support vector clustering,” Inf. Sci., vol. 339, pp. 353–368, Apr. 2016. doi: 10.1016/j.ins.2015.12.035
|
| [60] |
B. S. Harish, M. B. Revanasiddappa, and S. V. A. Kumar, “A modified support vector clustering method for document categorization,” in Proc. IEEE Int. Conf. Knowledge Engineering and Applications, Singapore, Singapore, 2016, pp. 1−5.
|
| [61] |
S. Sun, C. Lu, and G. Zhang, “A fuzzy least squares support vector clustering algorithm,” Electroteh. Electron. Autom., vol. 64, no. 2, Art. no. 119, 2016.
|
| [62] |
R. Saltos, R. Weber, and S. Maldonado, “Dynamic rough-fuzzy support vector clustering,” IEEE Trans. Fuzzy Syst., vol. 25, no. 6, pp. 1508–1521, Dec. 2017. doi: 10.1109/TFUZZ.2017.2741442
|
| [63] |
R. S. Atiencia and R. Weber, “Rough-fuzzy support vector clustering with OWA operators,” Intel. Artif., vol. 25, no. 69, pp. 42–56, Mar. 2022. doi: 10.4114/intartif.vol25iss69pp42-56
|
| [64] |
R. Saltos, R. Weber, and D. Saltos, “FuSVC: A new labeling rule for support vector clustering using fuzzy sets,” IEEE Trans. Fuzzy Syst., vol. 32, no. 10, pp. 5777–5790, Oct. 2024. doi: 10.1109/TFUZZ.2024.3428354
|
| [65] |
J.-H. Chiang and P.-Y. Hao, “A new kernel-based fuzzy clustering approach: Support vector clustering with cell growing,” IEEE Trans. Fuzzy Syst., vol. 11, no. 4, pp. 518–527, Aug. 2003. doi: 10.1109/TFUZZ.2003.814839
|
| [66] |
B. S. Harish, D. S. Guru, and S. Manjunath, “Representation and classification of text documents: A brief review,” Foundation of Computer Science USA, pp. 110−119, 2010.
|
| [67] |
Y. Ping, Y. F. Chang, Y. Zhou, Y. J. Tian, Y. X. Yang, and Z. Zhang, “Fast and scalable support vector clustering for large-scale data analysis,” Knowl. Inf. Syst., vol. 43, no. 2, pp. 281–310, May 2015. doi: 10.1007/s10115-013-0724-9
|
| [68] |
T. Pham, H. Dang, T. Le, and H.-T. Le, “Stochastic gradient descent support vector clustering,” in Proc. 2nd Nat. Foundation for Science and Technology Development Conf. Information and Computer Science, Ho Chi Minh City, Vietnam, 2015, pp. 88−93.
|
| [69] |
T. Pham, T. Le, and H. Dang, “Scalable support vector clustering using budget,” arXiv preprint arXiv: 1709.06444, 2017.
|
| [70] |
W. Chen, X. Jia, W. Zhu, and X. Tang, “The sorting methods of support vector clustering based on boundary extraction and category utility,” in Proc. MATEC Web of Conf., 2016, pp. 03003.
|
| [71] |
S.-H. Lee and K. M. Daniels, “Gaussian kernel width exploration and cone cluster labeling for support vector clustering,” Pattern Anal. Appl., vol. 15, no. 3, pp. 327–344, Aug. 2012. doi: 10.1007/s10044-011-0244-8
|
| [72] |
Y. Ping, Y. Tian, C. Guo, B. Wang, and Y. Yang, “FRSVC: Towards making support vector clustering consume less,” Pattern Recognit., vol. 69, pp. 286–298, Sep. 2017. doi: 10.1016/j.patcog.2017.04.025
|
| [73] |
A. K. Bishwas, A. Mani, V. Palade, “Big data quantum support vector clustering,” arXiv preprint arXiv: 1804.10905, 2018.
|
| [74] |
A. K. Bishwas, A. Mani, and V. Palade, “An investigation on support vector clustering for big data in quantum paradigm,” Quantum Inf. Process., vol. 19, no. 4, Art. no. 108, Feb. 2020. doi: 10.1007/s11128-020-2606-x
|
| [75] |
M. Akrom, “Quantum support vector machine for classification task: A review,” J. Multiscale Mater. Inf., vol. 1, no. 2, pp. 1–8, Oct. 2024. doi: 10.62411/jimat.v1i2.10965
|
| [76] |
F. Orazi, S. Gasperini, S. Lodi, and C. Sartori, “Hybrid quantum technologies for quantum support vector machines,” Information, vol. 15, no. 2, Art. no. 72, Jan. 2024. doi: 10.3390/info15020072
|
| [77] |
M. Nadim, M. Hassan, A. K. Mandal, C. K. Roy, B. Roy, and K. A. Schneider, “Comparative analysis of quantum and classical support vector classifiers for software bug prediction: An exploratory study,” Quantum Mach. Intell., vol. 7, no. 1, Art. no. 32, Mar. 2025. doi: 10.1007/s42484-025-00236-w
|
| [78] |
Y. Ping, B. Hao, H. Li, Y. Lai, C. Guo, H. Ma, B. Wang, and X. Hei, “Efficient training support vector clustering with appropriate boundary information,” IEEE Access, vol. 7, pp. 146964–146978, Oct. 2019. doi: 10.1109/ACCESS.2019.2945926
|
| [79] |
Y. Song and Y. Wang, “Accelerate support vector clustering via spectrum-preserving data compression?” arXiv preprint arXiv: 2304.09868, 2023.
|
| [80] |
Q. Peng, Y. Wang, G. Ou, Y. Tian, L. Huang, and W. Pang, “Partitioning clustering based on support vector ranking,” in Proc. 12th Int. Conf. Advanced Data Mining and Applications, Gold Coast, Australia, 2016, pp. 726−737.
|
| [81] |
H. Li, Y. Wang, L. Huang, M. Li, Y. Sun, and H. Zhang, “Clustering algorithm of similarity segmentation based on point sorting,” in Proc. Int. Conf. Logistics, Engineering, Management and Computer Science, 2015, pp. 475−482.
|
| [82] |
M. A. Adibi and J. Shahrabi, “Online anomaly detection based on support vector clustering,” Int. J. Comput. Intell. Syst., vol. 8, no. 4, pp. 735–746, Aug. 2015. doi: 10.1080/18756891.2015.1061393
|
| [83] |
Y. Wang and X. Liu, “Improved support vector clustering algorithm for color image segmentation,” Eng. Rev., vol. 35, no. 2, pp. 121–129, May 2015.
|
| [84] |
I. W. Tsang, J. T. Kwok, and P.-M. Cheung, “Core vector machines: Fast SVM training on very large data sets,” J. Mach. Learn. Res., vol. 6, pp. 363–392, Dec. 2005.
|
| [85] |
M. Orchel, “Clustering by support vector manifold learning,” in Proc. Int. Joint Conf. on Neural Networks, Anchorage, USA, 2017, pp. 1087−1094.
|
| [86] |
I. A. Lawal, F. Poiesi, D. Anguita, and A. Cavallaro, “Support vector motion clustering,” IEEE Trans. Circuits Syst. Video Technol., vol. 27, no. 11, pp. 2395–2408, Nov. 2017. doi: 10.1109/TCSVT.2016.2580401
|
| [87] |
S. Sun, C. Lu, and G. Zhang, “Fault diagnosis of distribution systems based on least squares support vector clustering algorithm,” Electroteh. Electron. Autom., vol. 65, no. 2, Art. no. 133, 2017.
|
| [88] |
Z. Hao, H. Ge, and T. Gu, “Automatic image annotation based on particle swarm optimization and support vector clustering,” Math. Probl. Eng., vol. 2017, no. 1, Art. no. 8493267, Jan. 2017. doi: 10.1155/2017/8493267
|
| [89] |
F. Wang, B. Zhang, S. Chai, and Y. Xia, “Community detection in complex networks using proximate support vector clustering,” Mod. Phys. Lett. B, vol. 32, no. 7, Art. no. 1850101, Mar. 2018. doi: 10.1142/S0217984918501014
|
| [90] |
C. Shang and F. You, “Robust optimization in high-dimensional data space with support vector clustering,” IFAC-PapersOnLine, vol. 51, no. 18, pp. 19–24, 2018. doi: 10.1016/j.ifacol.2018.09.238
|
| [91] |
Y. Ping, B. Hao, X. Hei, J. Wu, and B. Wang, “Maximized privacy-preserving outsourcing on support vector clustering,” Electronics, vol. 9, no. 1, Art. no. 178, Jan. 2020. doi: 10.3390/electronics9010178
|
| [92] |
F. B. Bağci and Ö. Karal, “Exploring efficient kernel functions for support vector clustering,” Mugla J. Sci. Technol., vol. 6, no. 2, pp. 36–42, Aug. 2020. doi: 10.22531/muglajsci.703790
|
| [93] |
D. A. B. Seddik and P. D. Abdelhamid, “Parallelized sequential minimal optimization for enhanced support vector clustering efficiency,”
|
| [94] |
G. Lee, “Hierarchical clustering using one-class support vector machines,” Symmetry, vol. 7, no. 3, pp. 1164–1175, Jul. 2015. doi: 10.3390/sym7031164
|
| [95] |
L.-M. Liu, Y.-R. Guo, Z. Wang, Z.-M. Yang, and Y.-H. Shao, “k-Proximal plane clustering,” Int. J. Mach. Learn. Cybern., vol. 8, no. 5, pp. 1537–1554, Oct. 2017. doi: 10.1007/s13042-016-0526-y
|
| [96] |
F. Sun, X. Xie, J. Qian, Y. Xin, Y. Li, C. Wang, and G. Chao, “Multi-view k-proximal plane clustering,” Appl. Intell., vol. 52, no. 13, pp. 14949–14963, Mar. 2022. doi: 10.1007/s10489-022-03176-1
|
| [97] |
Z. Wang, Y.-H. Shao, L. Bai, C.-N. Li, and L.-M. Liu, “General plane-based clustering with distribution loss,” IEEE Trans. Neural Networks Learn. Syst., vol. 32, no. 9, pp. 3880–3893, Sep. 2021. doi: 10.1109/TNNLS.2020.3016078
|
| [98] |
A. L. Yuille and A. Rangarajan, “The concave-convex procedure (CCCP),” in Proc. 15th Int. Conf. Neural Information Processing Systems: Natural and Synthetic, Cambridge, USA, pp. 1033−1040, 2001.
|
| [99] |
R. Fletcher, Practical Methods of Optimization. John Wiley & Sons, 2013.
|
| [100] |
L. Bai, Y.-H. Shao, Z. Wang, and C.-N. Li, “Clustering by twin support vector machine and least square twin support vector classifier with uniform output coding,” Knowl. Based Syst., vol. 163, pp. 227–240, Jan. 2019. doi: 10.1016/j.knosys.2018.08.034
|
| [101] |
S. Moezzi, M. Jalali, and Y. Forghani, “TWSVC+: Improved twin support vector machine-based clustering,” Int. Inf. Eng. Technol. Assoc., vol. 24, no. 5, pp. 463–471, Nov. 2019. doi: 10.18280/isi.240502
|
| [102] |
R. Khemchandani and A. Pal, “Weighted linear loss twin support vector clustering,” in Proc. 3rd IKDD Conf. Data Science, New York, USA, 2016, pp. 18.
|
| [103] |
R. Rastogi and A. Pal, “Fuzzy semi-supervised weighted linear loss twin support vector clustering,” Knowl. Based Syst., vol. 165, pp. 132–148, Feb. 2019. doi: 10.1016/j.knosys.2018.11.027
|
| [104] |
Q. Ye, H. Zhao, Z. Li, X. Yang, S. Gao, T. Yin, and N. Ye, “L1-norm distance minimization-based fast robust twin support vector k-plane clustering,” IEEE Trans. Neural Networks Learn. Syst., vol. 29, no. 9, pp. 4494–4503, Sep. 2018. doi: 10.1109/TNNLS.2017.2749428
|
| [105] |
Q. Ye, J. Yang, F. Liu, C. Zhao, N. Ye, and T. Yin, “L1-norm distance linear discriminant analysis based on an effective iterative algorithm,” IEEE Trans. Circuits Syst. Video Technol., vol. 28, no. 1, pp. 114–129, Jan. 2018. doi: 10.1109/TCSVT.2016.2596158
|
| [106] |
F. Zhong, J. Zhang, and D. Li, “Discriminant locality preserving projections based on L1-norm maximization,” IEEE Trans. Neural Networks Learn. Syst., vol. 25, no. 11, pp. 2065–2074, Nov. 2014. doi: 10.1109/TNNLS.2014.2303798
|
| [107] |
R. Khemchandani, A. Pal, and S. Chandra, “Fuzzy least squares twin support vector clustering,” Neural Comput. Appl., vol. 29, no. 2, pp. 553–563, Jan. 2018. doi: 10.1007/s00521-016-2468-4
|
| [108] |
B. Richhariya and M. Tanveer, “Least squares projection twin support vector clustering (LSPTSVC),” Inf. Sci., vol. 533, pp. 1–23, Sep. 2020.
|
| [109] |
R. Rastogi and P. Saigal, “Tree-based localized fuzzy twin support vector clustering with square loss function,” Appl. Intell., vol. 47, no. 1, pp. 96–113, Feb. 2017. doi: 10.1007/s10489-016-0886-8
|
| [110] |
J. Zhu, S. Chen, Y. Liu, and C. Hu, “Energy-based structural least squares twin support vector clustering,” Eng. Appl. Artif. Intell., vol. 128, Art. no. 107467, Feb. 2024. doi: 10.1016/j.engappai.2023.107467
|
| [111] |
M. Tanveer, T. Gupta, and M. Shah, “Pinball loss twin support vector clustering,” ACM Trans. Multimedia Comput. Commun. Appl., vol. 17, no. 2s, Art. no. 63, Jun. 2021.
|
| [112] |
M. Tanveer, T. Gupta, M. Shah, and B. Richhariya, “Sparse twin support vector clustering using pinball loss,” IEEE J. Biomed. Health Inf., vol. 25, no. 10, pp. 3776–3783, Oct. 2021. doi: 10.1109/JBHI.2021.3059910
|
| [113] |
M. Tanveer, M. Tabish, and J. Jangir, “Pinball twin bounded support vector clustering,” in Proc. IEEE EMBS Int. Conf. Biomedical and Health Informatics, Athens, Greece, 2021, pp. 1−4.
|
| [114] |
M. Tanveer, M. Tabish, and J. Jangir, “Sparse pinball twin bounded support vector clustering,” IEEE Trans. Comput. Soc. Syst., vol. 9, no. 6, pp. 1820–1829, Dec. 2022. doi: 10.1109/TCSS.2021.3122828
|
| [115] |
Y. Tian, M. Mirzabagheri, S. M. H. Bamakan, H. Wang, and Q. Qu, “Ramp loss one-class support vector machine; A robust and effective approach to anomaly detection problems,” Neurocomputing, vol. 310, pp. 223–235, Oct. 2018. doi: 10.1016/j.neucom.2018.05.027
|
| [116] |
D. Liu, Y. Shi, Y. Tian, and X. Huang, “Ramp loss least squares support vector machine,” J. Comput. Sci., vol. 14, pp. 61–68, May 2016. doi: 10.1016/j.jocs.2016.02.001
|
| [117] |
Z. Wang, X. Chen, Y.-H. Shao, and C.-N. Li, “Ramp-based twin support vector clustering,” Neural Comput. Appl., vol. 32, no. 14, pp. 9885–9896, Jul. 2020. doi: 10.1007/s00521-019-04511-3
|
| [118] |
Y. Liu, S. Chen, J. Zhu, and C. Hu, “Plane-based clustering with asymmetric distribution loss,” Appl. Soft Comput., vol. 148, Art. no. 110893, Nov. 2023. doi: 10.1016/j.asoc.2023.110893
|
| [119] |
J. Fang, Q. Liu, and Z. Qin, “Alternating relaxed twin bounded support vector clustering,” Wireless Pers. Commun., vol. 102, no. 2, pp. 1129–1147, Sep. 2018. doi: 10.1007/s11277-017-5147-6
|
| [120] |
Q.-L. Ye, H.-H. Zhao, and M. Naiem, “Fast robust twin support vector clustering,” DEStech Trans. Eng. Technol. Res., 2017.
|
| [121] |
S. G. Chen and Y. F. Liu, “Improved ramp-based twin support vector clustering,” J. Front. Comput. Sci. Technol., vol. 17, no. 11, pp. 2767–2776, Aug. 2023.
|
| [122] |
M. Caron, P. Bojanowski, A. Joulin, and M. Douze, “Deep clustering for unsupervised learning of visual features,” in Proc. 15th European Conf. Computer Vision, Munich, Germany, 2018, pp. 139−156.
|
| [123] |
P. Albuquerque, S. Alfinito, and C. V. Torres, “Support vector clustering for customer segmentation on mobile TV service,” Commun. Stat. Simul. Comput., vol. 44, no. 6, pp. 1453–1464, 2015. doi: 10.1080/03610918.2013.794289
|
| [124] |
S. Villazana, C. Seijas, and A. Caralli, “Lempel-Ziv complexity and Shannon entropy-based support vector clustering of ECG signals,” Rev Ing UC, vol. 22, no. 1, pp. 7–15, Apr. 2015.
|
| [125] |
M. Babaei, S. M. Muyeen, and S. Islam, “Identification of coherent generators by support vector clustering with an embedding strategy,” IEEE Access, vol. 7, pp. 105420–105431, Jul. 2019. doi: 10.1109/ACCESS.2019.2932194
|
| [126] |
T.-C. Hu, J. C. H. Chen, G. K. Yang, and C.-W. Chen, “Development of a military uniform size system using hybrid support vector clustering with a genetic algorithm,” Symmetry, vol. 11, no. 5, Art. no. 665, May 2019. doi: 10.3390/sym11050665
|
| [127] |
Y. Feng, S. Pickering, E. Chappell, P. Iravani, and C. Brace, “A support vector clustering based approach for driving style classification,” Int. J. Mach. Learn. Comput., vol. 9, no. 3, pp. 344–350, Jun. 2019. doi: 10.18178/ijmlc.2019.9.3.808
|
| [128] |
S. Wang, C. Gao, Y. Zhang, Q. Zhang, H. Zeng, and J. Bai, “Radar signal sorting method based on support vector clustering and grey correlation degree index,” Int. J. Inf. Commun. Technol., vol. 16, no. 4, pp. 353–364, Jan. 2020.
|
| [129] |
J. Byun, J. Lee, and S. Park, “Privacy-preserving evaluation for support vector clustering,” Electron. Lett., vol. 57, no. 2, pp. 61–64, Jan. 2021. doi: 10.1049/ell2.12047
|
| [130] |
A. A. Abd El-Aziz, H. Al Shater, A. Dakhlaoui, A. E. Hassanien, and D. Gupta, “Optimized twin support vector clustering in transmission electron microscope of cobalt nanoparticles,” in Proc. Int. Conf. Innovative Computing and Communications, Singapore, Singapore, 2020, pp. 829−842.
|
| [131] |
C. Li, N. Wang, W. Li, Y. Li, and J. Zhang, “Regrouping and echelon utilization of retired lithium-ion batteries based on a novel support vector clustering approach,” IEEE Trans. Transp. Electrif., vol. 8, no. 3, pp. 3648–3658, Sep. 2022. doi: 10.1109/TTE.2022.3169208
|
| [132] |
D. Malchiodi and A. G. B. Tettamanzi, “Predicting the possibilistic score of OWL axioms through modified support vector clustering,” in Proc. 33rd Ann. ACM Symp. Applied Computing, New York, USA, 2018, pp. 1984−1991.
|
| [133] |
S. Wang, C. Gao, Q. Zhang, V. Dakulagi, H. Zeng, G. Zheng, J. Bai, Y. Song, J. Cai, and B. Zong, “Research and experiment of radar signal support vector clustering sorting based on feature extraction and feature selection,” IEEE Access, vol. 8, pp. 93322–93334, May 2020. doi: 10.1109/ACCESS.2020.2993270
|
| [134] |
W. Teng, X. Wang, Y. Meng, and W. Shi, “An improved support vector clustering approach to dynamic aggregation of large wind farms,” CSEE J. Power Energy Syst., vol. 5, no. 2, pp. 215–223, Jun. 2019. doi: 10.17775/cseejpes.2016.01600
|
| [135] |
A. Kurde and S. K. Singh, “Next-generation technologies for secure future communication-based social-media 3.0 and smart environment,” ICCK Trans. Sens. Commun. Control, vol. 1, no. 2, pp. 101–125, Nov. 2024. doi: 10.62762/tscc.2024.322898
|
| [136] |
M. Nadeem, P. Abbas, W. Zhang, S. Rafique, and S. Iqbal, “Enhancing fake news detection with a hybrid NLP-machine learning framework,” ICCK Trans. Intell. Syst., vol. 1, no. 3, pp. 203–214, Dec. 2024. doi: 10.62762/TIS.2024.461943
|
| [137] |
F. Wang, B. Zhang, S. Chai, L. Cui, and F. Yao, “Lightweight support vector clustering algorithm for community detection in complex networks,” in Proc. 37th Chinese Control Conf., Wuhan, China, 2018, pp. 2317−2322.
|
| [138] |
R. Qiu, L. Ma, and M. Sun, “A robust omnichannel pricing and ordering optimization approach with return policies based on data-driven support vector clustering,” Eur. J. Oper. Res., vol. 305, no. 3, pp. 1337–1354, Mar. 2023. doi: 10.1016/j.ejor.2022.07.029
|
| [139] |
M. P. V. N. Sai and S. Kalaiarasi, “Implementation of music genre classification using support vector clustering algorithm and KNN classifier for improving accuracy,” in Proc. 8th Int. Conf. Science Technology Engineering and Mathematics, Chennai, India, 2023, pp. 1−6.
|
| [140] |
M. Sai Babu and V. Karthick, “Improving accuracy in intelligent coronary heart disease diagnosis prediction model using support vector clustering technique compared over Adaboost classifer,” AIP Conf. Proc., vol. 2822, no. 1, Art. no. 020067, Nov. 2023. doi: 10.1063/5.0172874
|
| [141] |
R. Ahmad, W. Alhasan, R. Wazirali, and R. Almajalid, “A reliable approach for lightweight anomaly detection in sensors using continuous wavelet transform and vector clustering,” IEEE Sensors J., vol. 24, no. 15, pp. 24921–24930, Aug. 2024. doi: 10.1109/JSEN.2024.3407158
|
| [142] |
I. Naharudinsyah, R. Delfos, and T. Keviczky, “Robust MPC with support vector clustering-based parametric uncertainty set for building thermal control,” IFAC-PapersOnLine, vol. 58, no. 18, pp. 159–164, 2024. doi: 10.1016/j.ifacol.2024.09.025
|
| [143] |
N. Turenne, “svcR: An R package for support vector clustering improved with geometric hashing applied to lexical pattern discovery,” arXiv preprint arXiv: 1504.06080, 2015.
|
| [144] |
M. S. Babu and V. Karthick, “Improving accuracy in intelligent coronary heart disease diagnosis prediction model using support vector clustering technique compared over bagging classifier algorithm,” AIP Conf. Proc., vol. 2821, no. 1, Art. no. 020039, Nov. 2023. doi: 10.1063/5.0166573
|
| [145] |
R. Sehgal and P. Jagadesh, “Data-driven robust portfolio optimization with semi mean absolute deviation via support vector clustering,” Expert Syst. Appl., vol. 224, Art. no. 120000, Aug. 2023. doi: 10.1016/j.eswa.2023.120000
|
| [146] |
Y. Wang and Y. Song, “Accelerate support vector clustering via spectral data compression,” in Proc. 30th Int. Conf. Neural Information Processing, Changsha, China, 2023, pp. 88−97.
|
| [147] |
S. Mirjalili and A. Lewis, “The whale optimization algorithm,” Adv. Eng. Software, vol. 95, pp. 51–67, May 2016. doi: 10.1016/j.advengsoft.2016.01.008
|
| [148] |
C. K. I. Williams and M. Seeger, “Using the Nyström method to speed up kernel machines,” in Proc. 14th Int. Conf. Neural Information Processing Systems, Cambridge, USA, 2000, pp. 661−667.
|
| [149] |
D. Tomar and S. Agarwal, “A comparison on multi-class classification methods based on least squares twin support vector machine,” Knowl. Based Syst., vol. 81, pp. 131–147, Jun. 2015. doi: 10.1016/j.knosys.2015.02.009
|
| [150] |
A. Fernandez, S. Garcia, F. Herrera, and N. V. Chawla, “SMOTE for learning from imbalanced data: Progress and challenges, marking the 15-year anniversary,” J. Artif. Intell. Res., vol. 61, pp. 863–905, Apr. 2018. doi: 10.1613/jair.1.11192
|
| [151] |
T. Elhassan, M. Aljurf, F. Al-Mohanna, and M. Shoukri, “Classification of imbalance data using tomek link (T-link) combined with random under-sampling (RUS) as a data reduction method,” J. Inf. Data Min., vol. 1, no. 2, 2016.
|
| [152] |
V. López, A. Fernández, J. G. Moreno-Torres, and F. Herrera, “Analysis of preprocessing vs. cost-sensitive learning for imbalanced classification. open problems on intrinsic data characteristics,” Expert Syst. Appl., vol. 39, no. 7, pp. 6585–6608, Jun. 2012. doi: 10.1016/j.eswa.2011.12.043
|
| [153] |
J. Weston, R. Collobert, F. Sinz, L. Bottou, and V. Vapnik, “Inference with the universum,” in Proc. 23rd Int. Conf. Machine Learning, New York, USA, 2006, pp. 1009−1016.
|
| [154] |
J. Xie, N. Xiang, and S. Yi, “Enhanced recognition for finger gesture-based control in humanoid robots using inertial sensors,” ICCK Trans. Sens. Commun. Control, vol. 1, no. 2, pp. 89–100, Oct. 2024. doi: 10.62762/tscc.2024.805710
|
| [155] |
Y. Lin, “Long-term traffic flow prediction using stochastic configuration networks for smart cities,” ICCK Trans. Intell. Syst., vol. 1, no. 2, pp. 79–90, Sep. 2024. doi: 10.62762/TIS.2024.952592
|
| [156] |
A. Kumari, M. Akhtar, R. Shah, and M. Tanveer, “Support matrix machine: A review,” Neural Networks, vol. 181, Art. no. 106767, Jan. 2025. doi: 10.1016/j.neunet.2024.106767
|
| [157] |
S. Alelyani, J. Tang, and H. Liu, “Feature selection for clustering: A review,” Data Clustering, pp. 29–60, 2018.
|
| [158] |
C. Alzate and J. A. K. Suykens, “A semi-supervised formulation to binary kernel spectral clustering,” in Proc. Int. Joint Conf. Neural Networks, Brisbane, Australia, 2012, pp. 1−8.
|
| [159] |
Z.-H. Zhou, “A brief introduction to weakly supervised learning,” Natl. Sci. Rev., vol. 5, no. 1, pp. 44–53, Jan. 2018. doi: 10.1093/nsr/nwx106
|
| [160] |
Y.-F. Li, I. W. Tsang, J. T. Kwok, and Z.-H. Zhou, “Convex and scalable weakly labeled SVMs,” J. Mach. Learn. Res., vol. 14, no. 1, pp. 2151–2188, Jan. 2013.
|
| [161] |
C. C. Aggarwal and P. S. Yu, “Outlier detection for high dimensional data,” ACM SIGMOD Record, vol. 30, no. 2, pp. 37–46, Jun. 2001. doi: 10.1145/376284.375668
|
| [162] |
F. T. Liu, K. M. Ting, and Z.-H. Zhou, “Isolation forest,” in Proc. 8th IEEE Int. Conf. Data Mining, Pisa, Italy, 2008, pp. 413−422.
|
| [163] |
C. Musco and C. Musco, “Recursive sampling for the Nyström method,” in Proc. 31st Int. Conf. Neural Information Processing Systems, Long Beach, USA, 2017, pp. 3836−3848.
|
| [164] |
G. Chao, S. Sun, and J. Bi, “A survey on multiview clustering,” IEEE Trans. Artif. Intell., vol. 2, no. 2, pp. 146–168, Apr. 2021. doi: 10.1109/TAI.2021.3065894
|
| [165] |
X. Yan, S. Hu, Y. Mao, Y. Ye, and H. Yu, “Deep multi-view learning methods: A review,” Neurocomputing, vol. 448, pp. 106–129, Aug. 2021. doi: 10.1016/j.neucom.2021.03.090
|
| [166] |
Y. Khalafaoui, N. Grozavu, B. Matei, and L.-W. Goix, “Multi-modal multi-view clustering based on non-negative matrix factorization,” in Proc. IEEE Symp. Series on Computational Intelligence, Singapore, Singapore, 2022, pp. 1386−1391.
|
| [167] |
S. Laohakiat and V. Sa-Ing, “An incremental density-based clustering framework using fuzzy local clustering,” Inf. Sci., vol. 547, pp. 404–426, Feb. 2021. doi: 10.1016/j.ins.2020.08.052
|
| [168] |
A. L. Suárez-Cetrulo, D. Quintana, and A. Cervantes, “A survey on machine learning for recurring concept drifting data streams,” Expert Syst. Appl., vol. 213, Art. no. 118934, Mar. 2023. doi: 10.1016/j.eswa.2022.118934
|
| [169] |
F. Nie, X. Wang, M. Jordan, and H. Huang, “The constrained laplacian rank algorithm for graph-based clustering,” in Proc. 30th AAAI Conf. Artificial Intelligence, Phoenix, USA, 2016.
|
| [170] |
Á. Vathy-Fogarassy and J. Abonyi, Graph-Based Clustering and Data Visualization Algorithms. London, UK: Springer, 2013.
|
| [171] |
O. Sagi and L. Rokach, “Ensemble learning: A survey,” WIREs Data Min. Knowl. Discovery, vol. 8, no. 4, Art. no. e1249, Jul.−Aug. 2018. doi: 10.1002/widm.1249
|
| [172] |
X. Dong, Z. Yu, W. Cao, Y. Shi, and Q. Ma, “A survey on ensemble learning,” Front. Comput. Sci., vol. 14, no. 2, pp. 241–258, Apr. 2020. doi: 10.1007/s11704-019-8208-z
|
| [173] |
K. Golalipour, E. Akbari, S. S. Hamidi, M. Lee, and R. Enayatifar, “From clustering to clustering ensemble selection: A review,” Eng. Appl. Artif. Intell., vol. 104, Art. no. 104388, Sep. 2021. doi: 10.1016/j.engappai.2021.104388
|
| [174] |
H. Khoshdel and B. Saman, “A new hybrid learning-based algorithm for data clustering,” in Proc. 16th CSI Int. Symp. Artificial Intelligence and Signal Processing, Shiraz, Iran, 2012, pp. 95−100.
|
| [175] |
J. Xu, P. Wang, G. Tian, B. Xu, J. Zhao, F. Wang, and H. Hao, “Short text clustering via convolutional neural networks,” in Proc. 1st Workshop on Vector Space Modeling for Natural Language Processing, Denver, USA, 2015, pp. 62−69.
|
| [176] |
C. Song, F. Liu, Y. Huang, L. Wang, and T. Tan, “Auto-encoder based data clustering,” in Proc. 18th Iberoamerican Congr. on Progress in Pattern Recognition, Image Analysis, Computer Vision, and Applications, Havana, Cuba, 2013, pp. 117−124.
|
| [177] |
K. Tian, S. Zhou, and J. Guan, “DeepCluster: A general clustering framework based on deep learning,” in Proc. European Conf. Machine Learning and Knowledge Discovery in Databases, Skopje, Macedonia, 2017, pp. 809−825.
|
| [178] |
D. V. Carvalho, E. M. Pereira, and J. S. Cardoso, “Machine learning interpretability: A survey on methods and metrics,” Electronics, vol. 8, no. 8, Art. no. 832, Jul. 2019. doi: 10.3390/electronics8080832
|
| [179] |
V. Belle and I. Papantonis, “Principles and practice of explainable machine learning,” Front. Big Data, vol. 4, Art. no. 688969, Jul. 2021. doi: 10.3389/fdata.2021.688969
|
| [180] |
P. Rodríguez-Belenguer, J. L. Piñana, M. Sánchez-Montañés, E. Soria-Olivas, M. Martínez-Sober, and A. J. Serrano-López, “A machine learning approach to identify groups of patients with hematological malignant disorders,” Comput. Methods Programs Biomed., vol. 246, Art. no. 108011, Apr. 2024. doi: 10.1016/j.cmpb.2024.108011
|
| [181] |
“SHAP-C: Adapting SHAP for interpretable centroid-based clustering,” in Proc. Proc. of the Workshop on Human-aligned and Trustworthy Machine Learning (HLDM), 2024. [Online]. Available: https://sml.disi.unitn.it/files/hldm24/HLDM24_163.pdf.
|
| [182] |
R. Mukherjee and J. A. Thompson, “FORCE: Feature-oriented representation with clustering and explanation,” arXiv preprint arXiv: 2504.05530, 2025.
|