IDEAS home Printed from https://ideas.repec.org/a/spr/advdac/v15y2021i1d10.1007_s11634-020-00390-y.html
   My bibliography  Save this article

A novel semi-supervised support vector machine with asymmetric squared loss

Author

Listed:
  • Huimin Pei

    (China Agricultural University)

  • Qiang Lin

    (China Agricultural University)

  • Liran Yang

    (China Agricultural University)

  • Ping Zhong

    (China Agricultural University)

Abstract

Laplacian support vector machine (LapSVM), which is based on the semi-supervised manifold regularization learning framework, performs better than the standard SVM, especially for the case where the supervised information is insufficient. However, the use of hinge loss leads to the sensitivity of LapSVM to noise around the decision boundary. To enhance the performance of LapSVM, we present a novel semi-supervised SVM with the asymmetric squared loss (asy-LapSVM) which deals with the expectile distance and is less sensitive to noise-corrupted data. We further present a simple and efficient functional iterative method to solve the proposed asy-LapSVM, in addition, we prove the convergence of the functional iterative method from two aspects of theory and experiment. Numerical experiments performed on a number of commonly used datasets with noise of different variances demonstrate the validity of the proposed asy-LapSVM and the feasibility of the presented functional iterative method.

Suggested Citation

  • Huimin Pei & Qiang Lin & Liran Yang & Ping Zhong, 2021. "A novel semi-supervised support vector machine with asymmetric squared loss," Advances in Data Analysis and Classification, Springer;German Classification Society - Gesellschaft für Klassifikation (GfKl);Japanese Classification Society (JCS);Classification and Data Analysis Group of the Italian Statistical Society (CLADAG);International Federation of Classification Societies (IFCS), vol. 15(1), pages 159-191, March.
    • Handle: RePEc:spr:advdac:v:15:y:2021:i:1:d:10.1007_s11634-020-00390-y
    DOI: 10.1007/s11634-020-00390-y
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s11634-020-00390-y
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s11634-020-00390-y?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Huang, Xiaolin & Shi, Lei & Suykens, Johan A.K., 2014. "Asymmetric least squares support vector machine classifiers," Computational Statistics & Data Analysis, Elsevier, vol. 70(C), pages 395-405.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Huimin Wang & Zhaojun Steven Li, 2022. "An AdaBoost-based tree augmented naive Bayesian classifier for transient stability assessment of power systems," Journal of Risk and Reliability, , vol. 236(3), pages 495-507, June.
    2. José A. Sáez, 2022. "Noise Models in Classification: Unified Nomenclature, Extended Taxonomy and Pragmatic Categorization," Mathematics, MDPI, vol. 10(20), pages 1-20, October.
    3. Wenxin Zhu & Yunyan Song & Yingyuan Xiao, 2018. "A New Support Vector Machine Plus with Pinball Loss," Journal of Classification, Springer;The Classification Society, vol. 35(1), pages 52-70, April.
    4. Farooq, Muhammad & Steinwart, Ingo, 2017. "An SVM-like approach for expectile regression," Computational Statistics & Data Analysis, Elsevier, vol. 109(C), pages 159-181.
    5. Ye Tian & Zhibin Deng & Jian Luo & Yueqing Li, 2018. "An intuitionistic fuzzy set based S $$^3$$ 3 VM model for binary classification with mislabeled information," Fuzzy Optimization and Decision Making, Springer, vol. 17(4), pages 475-494, December.
    6. Haoran Zhao & Sen Guo & Huiru Zhao, 2017. "Energy-Related CO 2 Emissions Forecasting Using an Improved LSSVM Model Optimized by Whale Optimization Algorithm," Energies, MDPI, vol. 10(7), pages 1-15, June.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:advdac:v:15:y:2021:i:1:d:10.1007_s11634-020-00390-y. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.