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Improved Mixture Cure Model Using Machine Learning Approaches

Author

Listed:
  • Huina Wang

    (Department of Biostatistics, School of Public Health, Peking University, Beijing 100191, China)

  • Tian Feng

    (Department of Biostatistics, School of Public Health, Peking University, Beijing 100191, China)

  • Baosheng Liang

    (Department of Biostatistics, School of Public Health, Peking University, Beijing 100191, China)

Abstract

The mixture cure model has been widely used in medicine, public health, and bioinformatics. The traditional mixture cure model has limitations in model flexibility and handling complex structured data and big data. In recent years, some improved new methods have been developed. Through a literature review and numerical studies, this article discusses the advantages and disadvantages of the progressions of mixture cure models incorporating machine learning techniques such as SVMs for model improvements. Machine learning algorithms have advantages in model flexibility and computation. When combined with mixture cure models, they can effectively improve the performance of mixture cure models, distinguish between susceptible and non-susceptible individuals, and accurately predict the influencing factors and their magnitude of incidence and latency.

Suggested Citation

  • Huina Wang & Tian Feng & Baosheng Liang, 2025. "Improved Mixture Cure Model Using Machine Learning Approaches," Mathematics, MDPI, vol. 13(4), pages 1-16, February.
  • Handle: RePEc:gam:jmathe:v:13:y:2025:i:4:p:557-:d:1586433
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    References listed on IDEAS

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    1. Jianping Li & Mingxi Liu & Cheng Few Lee & Dengsheng Wu, 2020. "Support Vector Machines Based Methodology for Credit Risk Analysis," World Scientific Book Chapters, in: Cheng Few Lee & John C Lee (ed.), HANDBOOK OF FINANCIAL ECONOMETRICS, MATHEMATICS, STATISTICS, AND MACHINE LEARNING, chapter 20, pages 791-822, World Scientific Publishing Co. Pte. Ltd..
    2. Yingwei Peng & Keith B. G. Dear, 2000. "A Nonparametric Mixture Model for Cure Rate Estimation," Biometrics, The International Biometric Society, vol. 56(1), pages 237-243, March.
    3. Peizhi Li & Yingwei Peng & Ping Jiang & Qingli Dong, 2020. "A support vector machine based semiparametric mixture cure model," Computational Statistics, Springer, vol. 35(3), pages 931-945, September.
    4. Peng, Yingwei, 2003. "Fitting semiparametric cure models," Computational Statistics & Data Analysis, Elsevier, vol. 41(3-4), pages 481-490, January.
    5. Mario J. N. M. Ouwens & Pralay Mukhopadhyay & Yiduo Zhang & Min Huang & Nicholas Latimer & Andrew Briggs, 2019. "Estimating Lifetime Benefits Associated with Immuno-Oncology Therapies: Challenges and Approaches for Overall Survival Extrapolations," PharmacoEconomics, Springer, vol. 37(9), pages 1129-1138, September.
    6. Lopez-Cheda, Ana & Cao, Ricardo & Jacome, Amalia & Van Keilegom, Ingrid, 2017. "Nonparametric incidence estimation and bootstrap bandwidth selection in mixture cure models," LIDAM Reprints ISBA 2017001, Université catholique de Louvain, Institute of Statistics, Biostatistics and Actuarial Sciences (ISBA).
    7. Beretta, Alessandro & Heuchenne, Cédric, 2021. "penPHcure: Variable Selection in Proportional Hazards Cure Model with Time-Varying Covariates," LIDAM Reprints ISBA 2021036, Université catholique de Louvain, Institute of Statistics, Biostatistics and Actuarial Sciences (ISBA).
    8. Wenbin Lu, 2008. "Maximum likelihood estimation in the proportional hazards cure model," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 60(3), pages 545-574, September.
    9. López-Cheda, Ana & Cao, Ricardo & Jácome, M. Amalia & Van Keilegom, Ingrid, 2017. "Nonparametric incidence estimation and bootstrap bandwidth selection in mixture cure models," Computational Statistics & Data Analysis, Elsevier, vol. 105(C), pages 144-165.
    10. Ghitany, M. E. & Maller, R. A. & Zhou, S., 1994. "Exponential Mixture Models with Long-Term Survivors and Covariates," Journal of Multivariate Analysis, Elsevier, vol. 49(2), pages 218-241, May.
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