Optimal projection method determination by Logdet Divergence and perturbed von-Neumann Divergence.

Journal: BMC systems biology
Published Date: Dec 14, 2017

Abstract

BACKGROUND: Positive semi-definiteness is a critical property in kernel methods for Support Vector Machine (SVM) by which efficient solutions can be guaranteed through convex quadratic programming. However, a lot of similarity functions in applications do not produce positive semi-definite kernels.

Authors

  • Hao Jiang
    Drug Discovery and Design Center, State Key Laboratory of Drug Research, Shanghai Institute of Materia Medica, Chinese Academy of Sciences , 555 Zuchongzhi Road, Shanghai 201203, China.
  • Wai-Ki Ching
    Department of Mathematics, The University of Hong Kong, Pokfulam Road, Hong Kong, Hong Kong.
  • Yushan Qiu
    College of Mathematics and Statistics, Shenzhen University, Nanhai Avenue 3688, Shenzhen, 518060, China. yushan.qiu@szu.edu.cn.
  • Xiao-Qing Cheng
    School of Mathematics and Statistics, Xi'An Jiaotong University, No.28 West Xianning Road, Xi'An, 710049, China.

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