Soft Computing

, Volume 21, Issue 19, pp 5859–5865 | Cite as

Clustering via fuzzy one-class quadratic surface support vector machine

  • Jian Luo
  • Ye Tian
  • Xin Yan
Methodologies and Application


This paper proposes a soft clustering algorithm based on a fuzzy one-class kernel-free quadratic surface support vector machine model. One main advantage of our new model is that it directly uses a quadratic function for clustering instead of the kernel function. Thus, we can avoid the difficult task of finding a proper kernel function and corresponding parameters. Besides, for handling data sets with a large amount of outliers and noise, we introduce the Fisher discriminant analysis to consider minimizing the within-class scatter. Our experimental results on some artificial and real-world data sets demonstrate that the proposed algorithm outperforms Bicego’s benchmark algorithm in terms of the clustering accuracy and efficiency. Moreover, this proposed algorithm is also shown to be very competitive with several state-of-the-art clustering methods.


Clustering Kernel-free One-class support vector machine Within-class scatter Quadratic surface 



Tian’s research has been supported by the Chinese National Science Foundation #11401485 and #71331004.

Compliance with ethical standards

Conflict of interest

The authors declare that they have no conflict of interest.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2016

Authors and Affiliations

  1. 1.School of Management Science and EngineeringDongbei University of Finance and EconomicsDalianChina
  2. 2.School of Business Administration and Research Center for Big DataSouthwestern University of Finance and EconomicsChengduChina
  3. 3.Department of MathematicsShanghai UniversityShanghaiChina

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