Fast Algorithms for Large-Scale Generalized Distance Weighted Discrimination

X.Y. Lam, J.S. Marron, Defeng Sun, K.-C. Toh

Research output: Journal article publicationJournal articleAcademic researchpeer-review

19 Citations (Scopus)


© 2018, © 2018 American Statistical Association, Institute of Mathematical Statistics, and Interface Foundation of North America. High-dimension-low-sample size statistical analysis is important in a wide range of applications. In such situations, the highly appealing discrimination method, support vector machine, can be improved to alleviate data piling at the margin. This leads naturally to the development of distance weighted discrimination (DWD), which can be modeled as a second-order cone programming problem and solved by interior-point methods when the scale (in sample size and feature dimension) of the data is moderate. Here, we design a scalable and robust algorithm for solving large-scale generalized DWD problems. Numerical experiments on real datasets from the UCI repository demonstrate that our algorithm is highly efficient in solving large-scale problems, and sometimes even more efficient than the highly optimized LIBLINEAR and LIBSVM for solving the corresponding SVM problems. Supplementary material for this article is available online.
Original languageEnglish
Pages (from-to)368-379
Number of pages12
JournalJournal of Computational and Graphical Statistics
Issue number2
Publication statusPublished - 3 Apr 2018


  • Convergent multi-block ADMM
  • Data piling
  • Support vector machine

ASJC Scopus subject areas

  • Statistics and Probability
  • Discrete Mathematics and Combinatorics
  • Statistics, Probability and Uncertainty

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