Adaptive multi-class support vector machine for microarray classification and gene selection

This paper proposes an adaptive multi-class support vector machine for simultaneous microarray classification and gene selection. By evaluating the gene ranking significance, the adaptive multi-class support vector machine is shown to encourage an adaptive grouping effect in the process of building classifiers, thus leading a sparse multi-classifiers with enhanced interpretability. Based on a reasonable correlation between the two regularization parameters, an efficient solution path algorithm is developed for solving the proposed support vector machine. Experiments performed on the leukaemia data set are provided to verify the obtained results.

[1]  Robert Tibshirani,et al.  The Entire Regularization Path for the Support Vector Machine , 2004, J. Mach. Learn. Res..

[2]  M. Yuan,et al.  Model selection and estimation in regression with grouped variables , 2006 .

[3]  H. Zou,et al.  Regularization and variable selection via the elastic net , 2005 .

[4]  Xin Zhou,et al.  MSVM-RFE: extensions of SVM-RFE for multiclass gene selection on DNA microarray data , 2007, Bioinform..

[5]  Xiaotong Shen,et al.  On L1-Norm Multiclass Support Vector Machines , 2007 .

[6]  H. Harada,et al.  A method of object tracking based on particle filter and optical flow , 2009, 2009 ICCAS-SICE.

[7]  J. Mesirov,et al.  Molecular classification of cancer: class discovery and class prediction by gene expression monitoring. , 1999, Science.

[8]  Junping Du,et al.  A new support vector machine for microarray classification and adaptive gene selection , 2009, 2009 American Control Conference.

[9]  Hao Helen Zhang,et al.  Variable selection for the multicategory SVM via adaptive sup-norm regularization , 2008, 0803.3676.

[10]  S. Dudoit,et al.  Comparison of Discrimination Methods for the Classification of Tumors Using Gene Expression Data , 2002 .

[11]  Yoram Singer,et al.  Reducing Multiclass to Binary: A Unifying Approach for Margin Classifiers , 2000, J. Mach. Learn. Res..

[12]  R. Tibshirani,et al.  Least angle regression , 2004, math/0406456.

[13]  Yi Lin Multicategory Support Vector Machines, Theory, and Application to the Classification of . . . , 2003 .

[14]  Juntao Li,et al.  Huberized Multiclass Support Vector Machine for Microarray Classification , 2010 .

[15]  R. Tibshirani,et al.  �-norm Support Vector Machines , 2003 .

[16]  Robert Tibshirani,et al.  1-norm Support Vector Machines , 2003, NIPS.

[17]  S. Rosset,et al.  Piecewise linear regularized solution paths , 2007, 0708.2197.

[18]  Mee Young Park,et al.  Penalized logistic regression for detecting gene interactions. , 2008, Biostatistics.

[19]  Vladimir N. Vapnik,et al.  The Nature of Statistical Learning Theory , 2000, Statistics for Engineering and Information Science.

[20]  Jason Weston,et al.  Gene Selection for Cancer Classification using Support Vector Machines , 2002, Machine Learning.

[21]  Yoonkyung Lee,et al.  CHARACTERIZING THE SOLUTION PATH OF MULTICATEGORY SUPPORT VECTOR MACHINES , 2006 .

[22]  H. Harada,et al.  Extraction of moving object based on fast optical flow estimation , 2009, 2009 ICCAS-SICE.

[23]  Li Wang,et al.  Hybrid huberized support vector machines for microarray classification and gene selection , 2008, Bioinform..