Density-Dependent Quantized Least Squares Support Vector Machine for Large Data Sets

Shengyu Nan, Lei Sun, Badong Chen, Zhiping Lin, Kar Ann Toh

Research output: Contribution to journalArticlepeer-review

39 Citations (Scopus)


Based on the knowledge that input data distribution is important for learning, a data density-dependent quantization scheme (DQS) is proposed for sparse input data representation. The usefulness of the representation scheme is demonstrated by using it as a data preprocessing unit attached to the well-known least squares support vector machine (LS-SVM) for application on big data sets. Essentially, the proposed DQS adopts a single shrinkage threshold to obtain a simple quantization scheme, which adapts its outputs to input data density. With this quantization scheme, a large data set is quantized to a small subset where considerable sample size reduction is generally obtained. In particular, the sample size reduction can save significant computational cost when using the quantized subset for feature approximation via the Nystrom method. Based on the quantized subset, the approximated features are incorporated into LS-SVM to develop a data density-dependent quantized LS-SVM (DQLS-SVM), where an analytic solution is obtained in the primal solution space. The developed DQLS-SVM is evaluated on synthetic and benchmark data with particular emphasis on large data sets. Extensive experimental results show that the learning machine incorporating DQS attains not only high computational efficiency but also good generalization performance.

Original languageEnglish
Pages (from-to)94-106
Number of pages13
JournalIEEE Transactions on Neural Networks and Learning Systems
Issue number1
Publication statusPublished - 2017 Jan

Bibliographical note

Funding Information:
National Natural Science Foundation of China under Grant 61372152 and in part by the 973 Program under Grant 2015CB351703

Publisher Copyright:
© 2012 IEEE.

All Science Journal Classification (ASJC) codes

  • Software
  • Computer Science Applications
  • Computer Networks and Communications
  • Artificial Intelligence


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