Application of Support Vector Machines Kernel Functions for Breast Cancer Detection and Classification

A Comparative Study

Authors

DOI:

https://doi.org/10.24086/cuesj.v9n1y2025.pp41-46

Keywords:

Machine learning, Kernel Functions, Breast Cancer, Classification, support vector machines

Abstract

This study deals with the linear, polynomial, and radial basis function (RBF) kernel-based support vector machines (SVM) applied to the classification of breast cancer. It checks the efficiency of different kernel-based techniques for distinguishing benign and malignant tumors against medical datasets. This analysis is conducted on the public Wisconsin Breast Cancer Dataset borrowed from the UCI Machine Learning Repository, which consists of 569 cases, 357 benign and 212 malignant. It aims to develop the assessment necessary for each Kernel based on its accuracy, precision, recall, computational efficiency, F1 score, and area under the curve (AUC). The outcome reveals that, in general, the polynomial Kernel will provide top-ranking results across the various features, thereby enhancing accuracy (96.84%), specificity (97.76%), and AUC (0.9966) compared to the linear and RBF kernels for use in disease classifications of cancers. These findings indicate that the polynomial kernel adeptly captures complex, non-linear data relationships, making it a strong candidate for developing more accurate SVM-based breast cancer detection models.

Downloads

Download data is not yet available.

Author Biographies

Raz M. Hama Salih, Department of Statistics and Informatics, College of Administration and Economics, Salahaddin University-Erbil, Iraq

Raz Mohammad Hama Salih is an Assistant Lecturer at the Kurdistan Board of Education and is pursuing a Ph.D. at Salahaddin University-Erbil. She holds a Bachelor of Science and Master of Science in statistics from the University of Sulaimani. During her Master of Science studies, she concentrated on biostatistics and modeling, thereby acquiring robust expertise in statistical techniques applicable to biological and medical data. In her doctoral research, she intends to focus on classification, examining advanced methodologies for categorizing and analyzing data to uncover patterns and improve decision-making processes.

Saman H. Mahmood, Department of Statistics and Informatics, College of Administration and Economics, Salahaddin University-Erbil, Iraq

Saman H. Mahmood is a full-time and as an assistant proffesor at the department of Statistics and Informatics, Salahaddin University. His research interests are Statitstics and Informatics

References

A. Roheel, A. Khan, F. Anwar, Z. Akbar, M. F. Akhtar, M. I. Khan, M. F. Sohail and R. Ahmad. Global epidemiology of breast cancer based on risk factors: A systematic review. Frontiers in Oncology, vol. 13, p. 1240098, 2023.

K. Hashimoto, S. Nishimura, T. Ito, N. Oka and M. Akagi. Limitations and usefulness of biopsy techniques for the diagnosis of metastatic bone and soft tissue tumors. Annals of Medicine and Surgery, vol. 68, p. 102581, 2021.

A. Schmidt, P. Morales-Alvarez and R. Molina. Probabilistic Modeling of Inter-and Intra-observer Variability in Medical Image Segmentation. In: Proceedings of the IEEE/CVF International Conference on Computer Vision, pp. 21097-21106, 2023.

M. M. Ahsan, S. A. Luna and Z. Siddique. Machine-learning-based disease diagnosis: A comprehensive review. Healthcare (Basel), vol. 10, p. 541, 2022.

D. Virmani and H. Pande. Comparative Analysis on Effect of Different SVM Kernel Functions for Classification. In: International Conference on Innovative Computing and Communications: Proceedings of ICICC 2022. Vol. 3. Springer, Cham, pp. 657-670, 2022.

L. J. Grimm and M. A. Mazurowski. Breast cancer radiogenomics: Current status and future directions. Academic Radiology, vol. 27, no. 1, pp. 39-46, 2020.

A. S. Rana, J. Rafique and H. Riffat. Advances in Breast Ultrasound Imaging: Enhancing Diagnostic Precision and Clinical Utility. IntechOpen, London, 2024.

J. H. Catani, R. Matsumoto, F. Horigome, T. Tucunduva, M. Costenaro and N. de Barros. A Pictorial Review of Breast Biopsy Complications. In: 2017: European Congress of Radiology- ECR, 2017.

J. Chen, Z. Gandomkar and W. M. Reed. Investigating the impact of cognitive biases in radiologists’ image interpretation: A scoping review. European Journal of Radiology, vol. 166, p. 111013, 2023.

R. M. Al-Tam and S. M. Narangale. Breast cancer detection and diagnosis using machine learning: A survey. Journal of Scientific Research, vol. 65, no. 5, pp. 265-285, 2021.

A. B. Yusuf, R. M. Dima and S. K. Aina. Optimized breast cancer classification using feature selection and outliers detection. Journal of the Nigerian Society of Physical Sciences, vol. 3, pp. 298-307, 2021.

D. Valkenborg, A. J. Rousseau, M. Geubbelmans and T. Burzykowski. Support vector machines. American Journal of Orthodontics and Dentofacial Orthopedics, vol. 164, no. 5, pp. 754-757, 2023.

M. W. Huang, C. W. Chen, W. C. Lin, S. W. Ke and C. F. Tsai. SVM and SVM ensembles in breast cancer prediction. PLoS One, vol. 12, no. 1, p. e0161501, 2017.

S. H. Hasanah. Classification support vector machine in breast cancer patients. BAREKENG: Jurnal Ilmu Matematika dan Terapan, vol. 16, no. 1, pp. 129-136, 2022.

U. A. Contardi, P. R. Scalassara and D. V. Thomaz. Benign and malign breast cancer classification using support vector machines optimised with particle swarm and genetic algorithms. Learning and Non-Linear Models, vol. 20, no. 2, pp. 21-23, 2022.

A. Tharwat. Parameter investigation of support vector machine classifier with kernel functions. Knowledge and Information Systems, vol. 61, pp. 1269-1302, 2019.

G. Elefante, W. Erb, F. Marchetti, E. Perracchione, D. Poggiali and G. Santin. Interpolation with the polynomial kernels. arXiv preprint arXiv:2212.07658, 2022.

L. Muflikhah and D. J. Haryanto. High performance of polynomial kernel at SVM Algorithm for sentiment analysis. Journal of Information Technology and Computer Science, vol. 3, no. 2, pp. 194-201, 2018.

S. P. Rana, M. Dey, R. Loretoni, M. Duranti, L. Sani, A. Vispa, M. Ghavami, S. Dudley and G. Tiberi. Radial basis function for breast lesion detection from MammoWave clinical data. Diagnostics, vol. 11, no. 10, p. 1930, 2021.

X. Ding, J. Liu, F. Yang and J. Cao. Random radial basis function kernel-based support vector machine. Journal of the Franklin Institute, vol. 358, no. 18, pp. 10121-10140, 2021.

W. Wolberg, O. Mangasarian, N. Street and W. Street. Breast Cancer Wisconsin (Diagnostic). UCI Machine Learning Repository, California, 1993.

D. Valero-Carreras, J. Alcaraz and M. Landete. Comparing two SVM models through different metrics based on the confusion matrix. Computers & Operations Research, vol. 152, p. 106131, 2023.

J. Miao and W. Zhu. Precision-recall curve (PRC) classification trees. Evolutionary Intelligence, vol. 15, no. 3, pp. 1545-1569, 2022.

A. Kovács, P. Palásti, D. Veréb, B. Bozsik, A. Palkó and Z. T. Kincses. The sensitivity and specificity of chest CT in the diagnosis of COVID-19. European Radiology, vol. 31, pp. 2819-2824, 2021.

A. S. Assiri, S. Nazir and S. A. Velastin. Breast tumor classification using an ensemble machine learning method. Journal of Imaging, vol. 6, no. 6, p. 39, 2020.

N. H. Mahmood and D. H. Kadir. An elastic net approach to logistic regression for genetic selection in high- dimensional brain cancer data. Cihan University-Erbil Scientific Journal, vol. 9, no. 1, pp. 14-23, 2025.

M. S. Reza, U. Hafsha, R. Amin, R. Yasmin and S. Ruhi. Improving SVM performance for type II diabetes prediction with an improved non-linear kernel: Insights from the PIMA dataset. Computer Methods and Programs in Biomedicine Update, vol. 4, p. 100118, 2023.

Published

2025-04-20

How to Cite

1.
Hama Salih RM, Mahmood SH. Application of Support Vector Machines Kernel Functions for Breast Cancer Detection and Classification: A Comparative Study. Cihan U Erbil SCI J [Internet]. 2025 Apr. 20 [cited 2026 Jun. 23];9(1):41-6. Available from: https://journals.cihanuniversity.edu.iq/index.php/cuesj/article/view/1390

Issue

Section

Research Article

Similar Articles

1 2 3 4 > >> 

You may also start an advanced similarity search for this article.