Distance Weighted Discrimination

by J. S. Marron, Michael J. Todd & Jeongyoun Ahn



History of the DWD paper

Original JASA submission (2002)


The second JASA submission (2004) with much additional work including more real data examples :
 - also posted on the optimization website  http://www.optimization-online.org/DB_HTML/2002/07/513.html


The third JASA submission (2007) with some more discussions on data piling




Supplemental Movies for Gaussian toy example with two classes that only differ by the means.

One dimensional projections onto a discriminant direction vector with changing dimensionality:

    (DWD) DWD1figDWD.avi, (SVM) DWD1figSVM.avi, (MD) DWD1figMD.avi, (MDP) DWD1figMDP.avi

Two dimensional projections onto direction vectors with changing tuning parameter :
   
    DWD & MD, SVM & MD, DWD & SVM




DWD Softwares

Matlab implementation of DWD

SDPT3 software page by Kim Toh

Software for microarray adjustment using DWD (also includes a Java implementation of DWD)

caBIG (Cancer Biomedical Informatics Grid) implementation of DWD



Some related papers


Benito et el. (2004), Adjustment of systematic microarray data biases, Bioinformatics, 20(1), 105-114

Hall, Marron & Neeman (2005), Geometric representation of high dimension, low sample size data, JRSS-B, 67(3), 427–444



Grants that have supported the research

Cornell University’s College of Engineering Mary Upson Fund,
NSF Grants DMS-9971649, DMS- 0308331, DMS-9805602, DMS-0209457,
ONR Grant N00014-02-1-0057,
caBIG project.